GET https://kbin.spritesserver.nl/m/memes@lemmy.world/t/27666/EDIT-I-THINK-I-STAND-CORRECTED?p=3

Response
200 OK
IP
3.147.54.227
Profiled on
Token
f22b36

Security

Token

There is no security token.

Firewall

main Name
Security enabled
Stateless

Configuration

Key Value
provider security.user.provider.concrete.app_user_provider
context main
entry_point App\Security\KbinAuthenticator
user_checker App\Security\UserChecker
access_denied_handler (none)
access_denied_url (none)
authenticators 
[
  "two_factor"
  "remember_me"
  "App\Security\KbinAuthenticator"
  "App\Security\FacebookAuthenticator"
  "App\Security\GoogleAuthenticator"
  "App\Security\GithubAuthenticator"
  "App\Security\KeycloakAuthenticator"
]

Listeners

Listener Duration Response 
Symfony\Component\Security\Http\Firewall\ChannelListener {#723
  -map: Symfony\Component\Security\Http\AccessMap {#722 …}
  -logger: Monolog\Logger {#783 …}
  -httpPort: 80
  -httpsPort: 443
}
 0.00 ms (none) 
Symfony\Component\Security\Http\Firewall\ContextListener {#706
  -tokenStorage: Symfony\Component\Security\Core\Authentication\Token\Storage\TokenStorage {#1017 …}
  -sessionKey: "_security_main"
  -logger: Monolog\Logger {#783 …}
  -userProviders: Symfony\Component\DependencyInjection\Argument\RewindableGenerator {#705 …}
  -dispatcher: Symfony\Component\EventDispatcher\Debug\TraceableEventDispatcher {#747 …}
  -registered: false
  -trustResolver: Scheb\TwoFactorBundle\Security\Authentication\AuthenticationTrustResolver {#780 …}
  -sessionTrackerEnabler: Symfony\Component\Security\Core\Authentication\Token\Storage\UsageTrackingTokenStorage::enableUsageTracking(): void {#703 …}
}
 6.75 ms (none) 
Symfony\Component\Security\Http\Firewall\AuthenticatorManagerListener {#584
  -authenticatorManager: Symfony\Component\Security\Http\Authentication\AuthenticatorManager {#595 …}
}
 0.00 ms (none) 
Scheb\TwoFactorBundle\Security\Http\Firewall\TwoFactorAccessListener {#582
  -twoFactorFirewallConfig: Scheb\TwoFactorBundle\Security\TwoFactor\TwoFactorFirewallConfig {#842 …}
  -tokenStorage: Symfony\Component\Security\Core\Authentication\Token\Storage\UsageTrackingTokenStorage {#1018 …}
  -twoFactorAccessDecider: Scheb\TwoFactorBundle\Security\Authorization\TwoFactorAccessDecider {#581 …}
}
 0.06 ms (none) 
Symfony\Component\Security\Http\Firewall\AccessListener {#579
  -tokenStorage: Symfony\Component\Security\Core\Authentication\Token\Storage\UsageTrackingTokenStorage {#1018 …}
  -accessDecisionManager: Symfony\Component\Security\Core\Authorization\TraceableAccessDecisionManager {#937 …}
  -map: Symfony\Component\Security\Http\AccessMap {#722 …}
}
 0.00 ms (none) 
Symfony\Component\Security\Http\Firewall\LogoutListener {#786
  -tokenStorage: Symfony\Component\Security\Core\Authentication\Token\Storage\UsageTrackingTokenStorage {#1018 …}
  -options: [
    "csrf_parameter" => "_csrf_token"
    "csrf_token_id" => "logout"
    "logout_path" => "app_logout"
  ]
  -httpUtils: Symfony\Component\Security\Http\HttpUtils {#841 …}
  -csrfTokenManager: Symfony\Component\Security\Csrf\CsrfTokenManager {#1015 …}
  -eventDispatcher: Symfony\Component\EventDispatcher\Debug\TraceableEventDispatcher {#747 …}
}
 0.00 ms (none)

Authenticators

No authenticators have been recorded. Check previous profiles on your authentication endpoint.

Access Decision

affirmative Strategy
# Voter class
1 
"Symfony\Component\Security\Core\Authorization\Voter\AuthenticatedVoter"
2 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
3 
"Symfony\Component\Security\Core\Authorization\Voter\RoleHierarchyVoter"
4 
"Symfony\Component\Security\Core\Authorization\Voter\ExpressionVoter"
5 
"App\Security\Voter\EntryCommentVoter"
6 
"App\Security\Voter\EntryVoter"
7 
"App\Security\Voter\MagazineVoter"
8 
"App\Security\Voter\MessageThreadVoter"
9 
"App\Security\Voter\MessageVoter"
10 
"App\Security\Voter\NotificationVoter"
11 
"App\Security\Voter\OAuth2UserConsentVoter"
12 
"App\Security\Voter\PostCommentVoter"
13 
"App\Security\Voter\PostVoter"
14 
"App\Security\Voter\UserVoter"

Access decision log

# Result Attributes Object
1 DENIED ROLE_USER 
null
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"Symfony\Component\Security\Core\Authorization\Voter\RoleHierarchyVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
2 DENIED moderate 
App\Entity\Entry {#2412
  +user: Proxies\__CG__\App\Entity\User {#1970 …}
  +magazine: App\Entity\Magazine {#266
    +icon: Proxies\__CG__\App\Entity\Image {#247 …}
    +name: "memes@lemmy.world"
    +title: "memes"
    +description: """
      Community rules\n
      ---------------\n
      \n
      1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
      \n
      2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
      \n
      3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
      \n
      4. No botsNo bots without the express approval of the mods or the admins\n
      \n
      5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
      \n
      \n
      \n
      Sister communities\n
      ------------------\n
      \n
      - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
      - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
      - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
      - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
      """
    +rules: null
    +subscriptionsCount: 1
    +entryCount: 1112
    +entryCommentCount: 22597
    +postCount: 0
    +postCommentCount: 0
    +isAdult: false
    +customCss: null
    +lastActive: DateTime @1729581796 {#276
      date: 2024-10-22 09:23:16.0 +02:00
    }
    +markedForDeletionAt: null
    +tags: null
    +moderators: Doctrine\ORM\PersistentCollection {#238 …}
    +ownershipRequests: Doctrine\ORM\PersistentCollection {#234 …}
    +moderatorRequests: Doctrine\ORM\PersistentCollection {#223 …}
    +entries: Doctrine\ORM\PersistentCollection {#181 …}
    +posts: Doctrine\ORM\PersistentCollection {#139 …}
    +subscriptions: Doctrine\ORM\PersistentCollection {#201 …}
    +bans: Doctrine\ORM\PersistentCollection {#118 …}
    +reports: Doctrine\ORM\PersistentCollection {#104 …}
    +badges: Doctrine\ORM\PersistentCollection {#82 …}
    +logs: Doctrine\ORM\PersistentCollection {#72 …}
    +awards: Doctrine\ORM\PersistentCollection {#61 …}
    +categories: Doctrine\ORM\PersistentCollection {#1820 …}
    -id: 78
    +apId: "memes@lemmy.world"
    +apProfileId: "https://lemmy.world/c/memes"
    +apPublicUrl: "https://lemmy.world/c/memes"
    +apFollowersUrl: "https://lemmy.world/c/memes/followers"
    +apInboxUrl: "https://lemmy.world/inbox"
    +apDomain: "lemmy.world"
    +apPreferredUsername: "memes"
    +apDiscoverable: true
    +apManuallyApprovesFollowers: null
    +privateKey: null
    +publicKey: null
    +apFetchedAt: DateTime @1728743545 {#270
      date: 2024-10-12 16:32:25.0 +02:00
    }
    +apDeletedAt: null
    +apTimeoutAt: null
    +visibility: "visible             "
    +createdAt: DateTimeImmutable @1699084255 {#272
      date: 2023-11-04 08:50:55.0 +01:00
    }
  }
  +image: null
  +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
  +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
  +title: "EDIT: I THINK I STAND CORRECTED"
  +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
  +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
  +type: "link"
  +lang: "en"
  +isOc: false
  +hasEmbed: true
  +commentCount: 181
  +favouriteCount: 333
  +score: 0
  +isAdult: false
  +sticky: false
  +lastActive: DateTime @1722369297 {#2410
    date: 2024-07-30 21:54:57.0 +02:00
  }
  +ip: null
  +adaAmount: 0
  +tags: null
  +mentions: null
  +comments: Doctrine\ORM\PersistentCollection {#1884 …}
  +votes: Doctrine\ORM\PersistentCollection {#1973 …}
  +reports: Doctrine\ORM\PersistentCollection {#1959 …}
  +favourites: Doctrine\ORM\PersistentCollection {#1927 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2442 …}
  +badges: Doctrine\ORM\PersistentCollection {#2440 …}
  +children: []
  -id: 27666
  -titleTs: "'correct':6 'edit':1 'stand':5 'think':3"
  -bodyTs: "'admit':13 'consid':2 'coward':10 'delet':3 'post':5 'seem':8 'someth':19 'til':18 'wrong':16"
  +cross: false
  +upVotes: 0
  +downVotes: 0
  +ranking: 1704647251
  +visibility: "visible             "
  +apId: "https://lemmy.zip/post/7995540"
  +editedAt: DateTimeImmutable @1712617625 {#1850
    date: 2024-04-09 01:07:05.0 +02:00
  }
  +createdAt: DateTimeImmutable @1704560851 {#2420
    date: 2024-01-06 18:07:31.0 +01:00
  }
}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS DENIED 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
3 DENIED edit 
App\Entity\Entry {#2412
  +user: Proxies\__CG__\App\Entity\User {#1970 …}
  +magazine: App\Entity\Magazine {#266
    +icon: Proxies\__CG__\App\Entity\Image {#247 …}
    +name: "memes@lemmy.world"
    +title: "memes"
    +description: """
      Community rules\n
      ---------------\n
      \n
      1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
      \n
      2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
      \n
      3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
      \n
      4. No botsNo bots without the express approval of the mods or the admins\n
      \n
      5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
      \n
      \n
      \n
      Sister communities\n
      ------------------\n
      \n
      - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
      - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
      - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
      - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
      """
    +rules: null
    +subscriptionsCount: 1
    +entryCount: 1112
    +entryCommentCount: 22597
    +postCount: 0
    +postCommentCount: 0
    +isAdult: false
    +customCss: null
    +lastActive: DateTime @1729581796 {#276
      date: 2024-10-22 09:23:16.0 +02:00
    }
    +markedForDeletionAt: null
    +tags: null
    +moderators: Doctrine\ORM\PersistentCollection {#238 …}
    +ownershipRequests: Doctrine\ORM\PersistentCollection {#234 …}
    +moderatorRequests: Doctrine\ORM\PersistentCollection {#223 …}
    +entries: Doctrine\ORM\PersistentCollection {#181 …}
    +posts: Doctrine\ORM\PersistentCollection {#139 …}
    +subscriptions: Doctrine\ORM\PersistentCollection {#201 …}
    +bans: Doctrine\ORM\PersistentCollection {#118 …}
    +reports: Doctrine\ORM\PersistentCollection {#104 …}
    +badges: Doctrine\ORM\PersistentCollection {#82 …}
    +logs: Doctrine\ORM\PersistentCollection {#72 …}
    +awards: Doctrine\ORM\PersistentCollection {#61 …}
    +categories: Doctrine\ORM\PersistentCollection {#1820 …}
    -id: 78
    +apId: "memes@lemmy.world"
    +apProfileId: "https://lemmy.world/c/memes"
    +apPublicUrl: "https://lemmy.world/c/memes"
    +apFollowersUrl: "https://lemmy.world/c/memes/followers"
    +apInboxUrl: "https://lemmy.world/inbox"
    +apDomain: "lemmy.world"
    +apPreferredUsername: "memes"
    +apDiscoverable: true
    +apManuallyApprovesFollowers: null
    +privateKey: null
    +publicKey: null
    +apFetchedAt: DateTime @1728743545 {#270
      date: 2024-10-12 16:32:25.0 +02:00
    }
    +apDeletedAt: null
    +apTimeoutAt: null
    +visibility: "visible             "
    +createdAt: DateTimeImmutable @1699084255 {#272
      date: 2023-11-04 08:50:55.0 +01:00
    }
  }
  +image: null
  +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
  +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
  +title: "EDIT: I THINK I STAND CORRECTED"
  +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
  +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
  +type: "link"
  +lang: "en"
  +isOc: false
  +hasEmbed: true
  +commentCount: 181
  +favouriteCount: 333
  +score: 0
  +isAdult: false
  +sticky: false
  +lastActive: DateTime @1722369297 {#2410
    date: 2024-07-30 21:54:57.0 +02:00
  }
  +ip: null
  +adaAmount: 0
  +tags: null
  +mentions: null
  +comments: Doctrine\ORM\PersistentCollection {#1884 …}
  +votes: Doctrine\ORM\PersistentCollection {#1973 …}
  +reports: Doctrine\ORM\PersistentCollection {#1959 …}
  +favourites: Doctrine\ORM\PersistentCollection {#1927 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2442 …}
  +badges: Doctrine\ORM\PersistentCollection {#2440 …}
  +children: []
  -id: 27666
  -titleTs: "'correct':6 'edit':1 'stand':5 'think':3"
  -bodyTs: "'admit':13 'consid':2 'coward':10 'delet':3 'post':5 'seem':8 'someth':19 'til':18 'wrong':16"
  +cross: false
  +upVotes: 0
  +downVotes: 0
  +ranking: 1704647251
  +visibility: "visible             "
  +apId: "https://lemmy.zip/post/7995540"
  +editedAt: DateTimeImmutable @1712617625 {#1850
    date: 2024-04-09 01:07:05.0 +02:00
  }
  +createdAt: DateTimeImmutable @1704560851 {#2420
    date: 2024-01-06 18:07:31.0 +01:00
  }
}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS DENIED 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
4 DENIED moderate 
App\Entity\Entry {#2412
  +user: Proxies\__CG__\App\Entity\User {#1970 …}
  +magazine: App\Entity\Magazine {#266
    +icon: Proxies\__CG__\App\Entity\Image {#247 …}
    +name: "memes@lemmy.world"
    +title: "memes"
    +description: """
      Community rules\n
      ---------------\n
      \n
      1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
      \n
      2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
      \n
      3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
      \n
      4. No botsNo bots without the express approval of the mods or the admins\n
      \n
      5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
      \n
      \n
      \n
      Sister communities\n
      ------------------\n
      \n
      - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
      - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
      - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
      - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
      """
    +rules: null
    +subscriptionsCount: 1
    +entryCount: 1112
    +entryCommentCount: 22597
    +postCount: 0
    +postCommentCount: 0
    +isAdult: false
    +customCss: null
    +lastActive: DateTime @1729581796 {#276
      date: 2024-10-22 09:23:16.0 +02:00
    }
    +markedForDeletionAt: null
    +tags: null
    +moderators: Doctrine\ORM\PersistentCollection {#238 …}
    +ownershipRequests: Doctrine\ORM\PersistentCollection {#234 …}
    +moderatorRequests: Doctrine\ORM\PersistentCollection {#223 …}
    +entries: Doctrine\ORM\PersistentCollection {#181 …}
    +posts: Doctrine\ORM\PersistentCollection {#139 …}
    +subscriptions: Doctrine\ORM\PersistentCollection {#201 …}
    +bans: Doctrine\ORM\PersistentCollection {#118 …}
    +reports: Doctrine\ORM\PersistentCollection {#104 …}
    +badges: Doctrine\ORM\PersistentCollection {#82 …}
    +logs: Doctrine\ORM\PersistentCollection {#72 …}
    +awards: Doctrine\ORM\PersistentCollection {#61 …}
    +categories: Doctrine\ORM\PersistentCollection {#1820 …}
    -id: 78
    +apId: "memes@lemmy.world"
    +apProfileId: "https://lemmy.world/c/memes"
    +apPublicUrl: "https://lemmy.world/c/memes"
    +apFollowersUrl: "https://lemmy.world/c/memes/followers"
    +apInboxUrl: "https://lemmy.world/inbox"
    +apDomain: "lemmy.world"
    +apPreferredUsername: "memes"
    +apDiscoverable: true
    +apManuallyApprovesFollowers: null
    +privateKey: null
    +publicKey: null
    +apFetchedAt: DateTime @1728743545 {#270
      date: 2024-10-12 16:32:25.0 +02:00
    }
    +apDeletedAt: null
    +apTimeoutAt: null
    +visibility: "visible             "
    +createdAt: DateTimeImmutable @1699084255 {#272
      date: 2023-11-04 08:50:55.0 +01:00
    }
  }
  +image: null
  +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
  +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
  +title: "EDIT: I THINK I STAND CORRECTED"
  +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
  +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
  +type: "link"
  +lang: "en"
  +isOc: false
  +hasEmbed: true
  +commentCount: 181
  +favouriteCount: 333
  +score: 0
  +isAdult: false
  +sticky: false
  +lastActive: DateTime @1722369297 {#2410
    date: 2024-07-30 21:54:57.0 +02:00
  }
  +ip: null
  +adaAmount: 0
  +tags: null
  +mentions: null
  +comments: Doctrine\ORM\PersistentCollection {#1884 …}
  +votes: Doctrine\ORM\PersistentCollection {#1973 …}
  +reports: Doctrine\ORM\PersistentCollection {#1959 …}
  +favourites: Doctrine\ORM\PersistentCollection {#1927 …}
  +notifications: Doctrine\ORM\PersistentCollection {#2442 …}
  +badges: Doctrine\ORM\PersistentCollection {#2440 …}
  +children: []
  -id: 27666
  -titleTs: "'correct':6 'edit':1 'stand':5 'think':3"
  -bodyTs: "'admit':13 'consid':2 'coward':10 'delet':3 'post':5 'seem':8 'someth':19 'til':18 'wrong':16"
  +cross: false
  +upVotes: 0
  +downVotes: 0
  +ranking: 1704647251
  +visibility: "visible             "
  +apId: "https://lemmy.zip/post/7995540"
  +editedAt: DateTimeImmutable @1712617625 {#1850
    date: 2024-04-09 01:07:05.0 +02:00
  }
  +createdAt: DateTimeImmutable @1704560851 {#2420
    date: 2024-01-06 18:07:31.0 +01:00
  }
}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS DENIED 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
5 DENIED ROLE_USER 
null
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"Symfony\Component\Security\Core\Authorization\Voter\RoleHierarchyVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
6 DENIED moderate 
App\Entity\Entry {#3776
  +user: Proxies\__CG__\App\Entity\User {#3803 …}
  +magazine: Proxies\__CG__\App\Entity\Magazine {#3809 …}
  +image: Proxies\__CG__\App\Entity\Image {#3821 …}
  +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
  +slug: "EDIT-I-THINK-I-STAND-ERECTED-IT-LOOKS-LIKE-A"
  +title: "EDIT: I THINK I STAND ERECTED, IT LOOKS LIKE A BOOB"
  +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
  +body: """
    cross-posted from: [lemmy.zip/post/7995540](https://lemmy.zip/post/7995540)\n
    \n
    > I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!
    """
  +type: "link"
  +lang: "en"
  +isOc: false
  +hasEmbed: true
  +commentCount: 3
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  +score: 0
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    date: 2024-08-07 21:05:56.0 +02:00
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  +ip: null
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  +comments: Doctrine\ORM\PersistentCollection {#3827 …}
  +votes: Doctrine\ORM\PersistentCollection {#3839 …}
  +reports: Doctrine\ORM\PersistentCollection {#3765 …}
  +favourites: Doctrine\ORM\PersistentCollection {#3767 …}
  +notifications: Doctrine\ORM\PersistentCollection {#3770 …}
  +badges: Doctrine\ORM\PersistentCollection {#3772 …}
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  -id: 28111
  -titleTs: "'boob':11 'edit':1 'erect':6 'like':9 'look':8 'stand':5 'think':3"
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  +cross: false
  +upVotes: 0
  +downVotes: 0
  +ranking: 1704816604
  +visibility: "visible             "
  +apId: "https://lemmy.world/post/10464330"
  +editedAt: null
  +createdAt: DateTimeImmutable @1704730204 {#3761
    date: 2024-01-08 17:10:04.0 +01:00
  }
}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS DENIED 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
7 DENIED edit 
App\Entity\Entry {#3776
  +user: Proxies\__CG__\App\Entity\User {#3803 …}
  +magazine: Proxies\__CG__\App\Entity\Magazine {#3809 …}
  +image: Proxies\__CG__\App\Entity\Image {#3821 …}
  +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
  +slug: "EDIT-I-THINK-I-STAND-ERECTED-IT-LOOKS-LIKE-A"
  +title: "EDIT: I THINK I STAND ERECTED, IT LOOKS LIKE A BOOB"
  +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
  +body: """
    cross-posted from: [lemmy.zip/post/7995540](https://lemmy.zip/post/7995540)\n
    \n
    > I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!
    """
  +type: "link"
  +lang: "en"
  +isOc: false
  +hasEmbed: true
  +commentCount: 3
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  +score: 0
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    date: 2024-08-07 21:05:56.0 +02:00
  }
  +ip: null
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  +comments: Doctrine\ORM\PersistentCollection {#3827 …}
  +votes: Doctrine\ORM\PersistentCollection {#3839 …}
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  +notifications: Doctrine\ORM\PersistentCollection {#3770 …}
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  +cross: false
  +upVotes: 0
  +downVotes: 0
  +ranking: 1704816604
  +visibility: "visible             "
  +apId: "https://lemmy.world/post/10464330"
  +editedAt: null
  +createdAt: DateTimeImmutable @1704730204 {#3761
    date: 2024-01-08 17:10:04.0 +01:00
  }
}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS DENIED 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
8 DENIED moderate 
App\Entity\Entry {#3776
  +user: Proxies\__CG__\App\Entity\User {#3803 …}
  +magazine: Proxies\__CG__\App\Entity\Magazine {#3809 …}
  +image: Proxies\__CG__\App\Entity\Image {#3821 …}
  +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
  +slug: "EDIT-I-THINK-I-STAND-ERECTED-IT-LOOKS-LIKE-A"
  +title: "EDIT: I THINK I STAND ERECTED, IT LOOKS LIKE A BOOB"
  +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
  +body: """
    cross-posted from: [lemmy.zip/post/7995540](https://lemmy.zip/post/7995540)\n
    \n
    > I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!
    """
  +type: "link"
  +lang: "en"
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  +hasEmbed: true
  +commentCount: 3
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  +score: 0
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    date: 2024-08-07 21:05:56.0 +02:00
  }
  +ip: null
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  +notifications: Doctrine\ORM\PersistentCollection {#3770 …}
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  -id: 28111
  -titleTs: "'boob':11 'edit':1 'erect':6 'like':9 'look':8 'stand':5 'think':3"
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  +cross: false
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  +visibility: "visible             "
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  +editedAt: null
  +createdAt: DateTimeImmutable @1704730204 {#3761
    date: 2024-01-08 17:10:04.0 +01:00
  }
}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS DENIED 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
9 DENIED ROLE_USER 
null
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"Symfony\Component\Security\Core\Authorization\Voter\RoleHierarchyVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
10 DENIED moderate 
App\Entity\EntryComment {#4723
  +user: App\Entity\User {#4671 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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        date: 2024-10-22 09:23:16.0 +02:00
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        date: 2024-10-12 16:32:25.0 +02:00
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        date: 2023-11-04 08:50:55.0 +01:00
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    }
    +image: null
    +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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    }
    +createdAt: DateTimeImmutable @1704560851 {#2420
      date: 2024-01-06 18:07:31.0 +01:00
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  }
  +magazine: App\Entity\Magazine {#266}
  +image: null
  +parent: null
  +root: null
  +body: "Duh, of course it is because it’s friggin hard to pay everything with 1 dollar bills, it will slowly eat away at your sanity."
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    "@balderdash9@lemmy.zip"
  ]
  +children: Doctrine\ORM\PersistentCollection {#4721 …}
  +nested: Doctrine\ORM\PersistentCollection {#4719 …}
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  -id: 286892
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    date: 2024-01-06 23:44:47.0 +01:00
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
11 DENIED edit 
App\Entity\EntryComment {#4723
  +user: App\Entity\User {#4671 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
      +rules: null
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    +image: null
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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  +magazine: App\Entity\Magazine {#266}
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  +parent: null
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 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
12 DENIED moderate 
App\Entity\EntryComment {#4723
  +user: App\Entity\User {#4671 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
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      +title: "memes"
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        Community rules\n
        ---------------\n
        \n
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        \n
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        \n
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        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +image: null
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
13 DENIED ROLE_USER 
null
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"Symfony\Component\Security\Core\Authorization\Voter\RoleHierarchyVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
14 DENIED moderate 
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  +entry: App\Entity\Entry {#2412
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        ---------------\n
        \n
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        \n
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        \n
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        \n
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        \n
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        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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    Okay, I will pay you $100 for every 200 dollars you pick up out of this infinite pile and turn into $100 bills.\n
    \n
    Now it won't drive me insane at all, and you can get as rich as you want to be.
    """
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
15 DENIED edit 
App\Entity\EntryComment {#5117
  +user: Proxies\__CG__\App\Entity\User {#5118 …}
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        ---------------\n
        \n
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        \n
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        \n
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        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN
Show voter details
16 DENIED moderate 
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN
Show voter details
17 DENIED ROLE_USER 
null
 
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 ACCESS ABSTAIN 
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN
Show voter details
18 DENIED moderate 
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 ACCESS ABSTAIN 
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 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
19 DENIED edit 
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
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 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
20 DENIED moderate 
App\Entity\EntryComment {#4754
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
21 DENIED ROLE_USER 
null
 
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 ACCESS ABSTAIN 
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
22 DENIED moderate 
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 ACCESS ABSTAIN 
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN
Show voter details
23 DENIED edit 
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        ---------------\n
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        \n
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        Sister communities\n
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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 ACCESS ABSTAIN 
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
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 ACCESS ABSTAIN
Show voter details
24 DENIED moderate 
App\Entity\EntryComment {#4839
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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 ACCESS ABSTAIN 
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN
Show voter details
25 DENIED ROLE_USER 
null
 
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 ACCESS ABSTAIN 
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
26 DENIED moderate 
App\Entity\EntryComment {#4913
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        ---------------\n
        \n
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        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        \n
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        Sister communities\n
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
27 DENIED edit 
App\Entity\EntryComment {#4913
  +user: App\Entity\User {#4926 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
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      +title: "memes"
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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    +image: null
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
28 DENIED moderate 
App\Entity\EntryComment {#4913
  +user: App\Entity\User {#4926 …}
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    +user: Proxies\__CG__\App\Entity\User {#1970 …}
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        Community rules\n
        ---------------\n
        \n
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        \n
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        \n
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        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
29 DENIED ROLE_USER 
null
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"Symfony\Component\Security\Core\Authorization\Voter\RoleHierarchyVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
30 DENIED moderate 
App\Entity\EntryComment {#5086
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  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
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        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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  }
  +root: App\Entity\EntryComment {#4913}
  +body: "Theoretically, yes. Functionally, no. When you go to pay for something with your infinite bills, would you rather pay with N number of 100 dollar bills or get your wheelbarrow to pay with 100N one dollar bills? The pile may be infinite, but your ability to access it is finite. Ergo, the “denser” pile is worth more."
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 ACCESS ABSTAIN 
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 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
31 DENIED edit 
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        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
32 DENIED moderate 
App\Entity\EntryComment {#5086
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        \n
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        \n
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        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
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 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
33 DENIED ROLE_USER 
null
 
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 ACCESS ABSTAIN 
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
34 DENIED moderate 
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        ---------------\n
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
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        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
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"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
37 DENIED ROLE_USER 
null
 
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"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
38 DENIED moderate 
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        ---------------\n
        \n
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        \n
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        \n
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        \n
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        \n
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        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +root: App\Entity\EntryComment {#4913}
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  +root: App\Entity\EntryComment {#4913}
  +body: "You’re thinking of a different calculus problem in this case we are comparing the growth rate of `100*infty vs infty`. In calculus, you cannot accelerate the growth of \infty. If you put `infty / infty` your answer will be `undefined` (you can double check with Wolfram), similarly, if you put `100*infty / infty`, you will also get `undefined`"
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
39 DENIED edit 
App\Entity\EntryComment {#5323
  +user: Proxies\__CG__\App\Entity\User {#5322 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
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      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
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        \n
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        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
40 DENIED moderate 
App\Entity\EntryComment {#5323
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        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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    +root: App\Entity\EntryComment {#4913}
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  +root: App\Entity\EntryComment {#4913}
  +body: "You’re thinking of a different calculus problem in this case we are comparing the growth rate of `100*infty vs infty`. In calculus, you cannot accelerate the growth of \infty. If you put `infty / infty` your answer will be `undefined` (you can double check with Wolfram), similarly, if you put `100*infty / infty`, you will also get `undefined`"
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
41 DENIED ROLE_USER 
null
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
42 DENIED moderate 
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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    +root: App\Entity\EntryComment {#4913}
    +body: "Theoretically, yes. Functionally, no. When you go to pay for something with your infinite bills, would you rather pay with N number of 100 dollar bills or get your wheelbarrow to pay with 100N one dollar bills? The pile may be infinite, but your ability to access it is finite. Ergo, the “denser” pile is worth more."
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  +root: App\Entity\EntryComment {#4913}
  +body: "If we’re adding real world hypotheticals you would be paying for your shit on card anyway. You just go to the bank with how ever many truck loads of $100 bills when ever you needed a top up. Secondly you wouldn’t be doing it yourself, you pay someone else to do it. Thirdly as soon as the government found out you effectively had a money printer they would put you in prison or disappear you to prevent you from collapsing their money system, not to mention the serial numbers on the notes would have to be fraudulent because they wouldn’t match up with mints. And finally any physical object with an infinite quantity would be the size of the universe, likely causing either black hole or destroying the universe and us along with it. So in closing what sounds like a great situation is probably worth any potential risk"
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 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
43 DENIED edit 
App\Entity\EntryComment {#5157
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        ---------------\n
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        \n
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        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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        date: 2024-01-06 18:59:10.0 +01:00
      }
    }
    +root: App\Entity\EntryComment {#4913}
    +body: "Theoretically, yes. Functionally, no. When you go to pay for something with your infinite bills, would you rather pay with N number of 100 dollar bills or get your wheelbarrow to pay with 100N one dollar bills? The pile may be infinite, but your ability to access it is finite. Ergo, the “denser” pile is worth more."
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      "@tdawg@lemmy.world"
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    +children: Doctrine\ORM\PersistentCollection {#5088 …}
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    +notifications: Doctrine\ORM\PersistentCollection {#5098 …}
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      date: 2024-01-06 19:12:22.0 +01:00
    }
  }
  +root: App\Entity\EntryComment {#4913}
  +body: "If we’re adding real world hypotheticals you would be paying for your shit on card anyway. You just go to the bank with how ever many truck loads of $100 bills when ever you needed a top up. Secondly you wouldn’t be doing it yourself, you pay someone else to do it. Thirdly as soon as the government found out you effectively had a money printer they would put you in prison or disappear you to prevent you from collapsing their money system, not to mention the serial numbers on the notes would have to be fraudulent because they wouldn’t match up with mints. And finally any physical object with an infinite quantity would be the size of the universe, likely causing either black hole or destroying the universe and us along with it. So in closing what sounds like a great situation is probably worth any potential risk"
  +lang: "en"
  +isAdult: false
  +favouriteCount: 18
  +score: 0
  +lastActive: DateTime @1704565635 {#5154
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    "@balderdash9@lemmy.zip"
    "@tdawg@lemmy.world"
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    "@tdawg@lemmy.world"
    "@smuuthbrane@sh.itjust.works"
    "@balderdash9@lemmy.zip"
    "@tdawg@lemmy.world"
    "@smuuthbrane@sh.itjust.works"
    "@balderdash9@lemmy.zip"
    "@tdawg@lemmy.world"
    "@smuuthbrane@sh.itjust.works"
    "@balderdash9@lemmy.zip"
    "@tdawg@lemmy.world"
    "@smuuthbrane@sh.itjust.works"
    "@balderdash9@lemmy.zip"
    "@tdawg@lemmy.world"
    "@smuuthbrane@sh.itjust.works"
    "@balderdash9@lemmy.zip"
    "@tdawg@lemmy.world"
    "@smuuthbrane@sh.itjust.works"
  ]
  +children: Doctrine\ORM\PersistentCollection {#5159 …}
  +nested: Doctrine\ORM\PersistentCollection {#5161 …}
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  +reports: Doctrine\ORM\PersistentCollection {#5165 …}
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    date: 2024-04-07 03:55:45.0 +02:00
  }
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    date: 2024-01-06 19:27:15.0 +01:00
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
44 DENIED moderate 
App\Entity\EntryComment {#5157
  +user: Proxies\__CG__\App\Entity\User {#5158 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
      +rules: null
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      +apInboxUrl: "https://lemmy.world/inbox"
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        date: 2023-11-04 08:50:55.0 +01:00
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    }
    +image: null
    +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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      +body: "They’re both countibly infinite thus the same, no?"
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    }
    +root: App\Entity\EntryComment {#4913}
    +body: "Theoretically, yes. Functionally, no. When you go to pay for something with your infinite bills, would you rather pay with N number of 100 dollar bills or get your wheelbarrow to pay with 100N one dollar bills? The pile may be infinite, but your ability to access it is finite. Ergo, the “denser” pile is worth more."
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  }
  +root: App\Entity\EntryComment {#4913}
  +body: "If we’re adding real world hypotheticals you would be paying for your shit on card anyway. You just go to the bank with how ever many truck loads of $100 bills when ever you needed a top up. Secondly you wouldn’t be doing it yourself, you pay someone else to do it. Thirdly as soon as the government found out you effectively had a money printer they would put you in prison or disappear you to prevent you from collapsing their money system, not to mention the serial numbers on the notes would have to be fraudulent because they wouldn’t match up with mints. And finally any physical object with an infinite quantity would be the size of the universe, likely causing either black hole or destroying the universe and us along with it. So in closing what sounds like a great situation is probably worth any potential risk"
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  +children: Doctrine\ORM\PersistentCollection {#5159 …}
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
45 DENIED ROLE_USER 
null
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"Symfony\Component\Security\Core\Authorization\Voter\RoleHierarchyVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
46 DENIED moderate 
App\Entity\EntryComment {#5102
  +user: Proxies\__CG__\App\Entity\User {#1970 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
      +rules: null
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    To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
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    \n
    You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
    """
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
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 ACCESS ABSTAIN
Show voter details
47 DENIED edit 
App\Entity\EntryComment {#5102
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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    To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
    \n
    For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
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    \n
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 ACCESS ABSTAIN 
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN
Show voter details
48 DENIED moderate 
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  +parent: App\Entity\EntryComment {#4913
    +user: App\Entity\User {#4926 …}
    +entry: App\Entity\Entry {#2412}
    +magazine: App\Entity\Magazine {#266}
    +image: null
    +parent: null
    +root: null
    +body: "They’re both countibly infinite thus the same, no?"
    +lang: "en"
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    +favouriteCount: 53
    +score: 0
    +lastActive: DateTime @1719206697 {#4908
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    }
    +ip: null
    +tags: null
    +mentions: [
      "@balderdash9@lemmy.zip"
    ]
    +children: Doctrine\ORM\PersistentCollection {#4914 …}
    +nested: Doctrine\ORM\PersistentCollection {#4916 …}
    +votes: Doctrine\ORM\PersistentCollection {#4918 …}
    +reports: Doctrine\ORM\PersistentCollection {#4920 …}
    +favourites: Doctrine\ORM\PersistentCollection {#4922 …}
    +notifications: Doctrine\ORM\PersistentCollection {#4924 …}
    -id: 286150
    -bodyTs: "'countibl':4 'infinit':5 're':2 'thus':6"
    +ranking: 0
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    +downVotes: 0
    +visibility: "visible             "
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    +editedAt: null
    +createdAt: DateTimeImmutable @1704563950 {#4909
      date: 2024-01-06 18:59:10.0 +01:00
    }
  }
  +root: App\Entity\EntryComment {#4913}
  +body: """
    To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
    \n
    For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
    \n
    So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
    \n
    You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
    """
  +lang: "en"
  +isAdult: false
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    date: 2024-01-06 20:42:18.0 +01:00
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  +mentions: [
    "@balderdash9@lemmy.zip"
    "@tdawg@lemmy.world"
  ]
  +children: Doctrine\ORM\PersistentCollection {#5103 …}
  +nested: Doctrine\ORM\PersistentCollection {#5105 …}
  +votes: Doctrine\ORM\PersistentCollection {#5107 …}
  +reports: Doctrine\ORM\PersistentCollection {#5109 …}
  +favourites: Doctrine\ORM\PersistentCollection {#5111 …}
  +notifications: Doctrine\ORM\PersistentCollection {#5113 …}
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  -bodyTs: "'1':95,110,123,162 '100':103,117,129,167,171 'ad':119 'add':107 'also':69 'anoth':116 'bill':96,104,111,118,124,130,138,163,168,172 'cardin':10,146 'correspond':20,128 'count':42,59 'dinner':34 'equal':83 'establish':2,14 'everytim':60 'exampl':28 'fork':46,64 'guest':55 'infinit':141 'infinitum':120 'instead':57 'larg':33 'larger':9 'let':90,105 'like':148 'll':51,98 'm':154 'make':155 'mani':161 'match':76,99,113 'member':23 'must':80 'need':52 'number':84,87,136 'one':4,17,19,94,102 'one-to-on':16 'parti':35 'place':62,70 'point':152 'second':109 'see':150 'set':5,26,142 'spoon':48,72 'start':92 'tabl':67 'tri':12 'two':78,140 'want':40 'whatev':85 'whether':3 'worth':174"
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    date: 2024-01-06 20:42:18.0 +01:00
  }
}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
49 DENIED ROLE_USER 
null
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"Symfony\Component\Security\Core\Authorization\Voter\RoleHierarchyVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
50 DENIED moderate 
App\Entity\EntryComment {#5204
  +user: Proxies\__CG__\App\Entity\User {#5205 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +image: null
    +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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  +magazine: App\Entity\Magazine {#266}
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        date: 2024-01-06 18:59:10.0 +01:00
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    }
    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
    +lang: "en"
    +isAdult: false
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      "@balderdash9@lemmy.zip"
      "@tdawg@lemmy.world"
    ]
    +children: Doctrine\ORM\PersistentCollection {#5103 …}
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    +votes: Doctrine\ORM\PersistentCollection {#5107 …}
    +reports: Doctrine\ORM\PersistentCollection {#5109 …}
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      date: 2024-01-06 20:42:18.0 +01:00
    }
  }
  +root: App\Entity\EntryComment {#4913}
  +body: "I don’t see what you are trying to say. You can also match 200 $1 bills with each $100 bill. The correspondence does not need to be one-to-one."
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    date: 2024-01-06 20:55:30.0 +01:00
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
51 DENIED edit 
App\Entity\EntryComment {#5204
  +user: Proxies\__CG__\App\Entity\User {#5205 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +image: null
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
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      +entry: App\Entity\Entry {#2412}
      +magazine: App\Entity\Magazine {#266}
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        "@balderdash9@lemmy.zip"
      ]
      +children: Doctrine\ORM\PersistentCollection {#4914 …}
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        date: 2024-01-06 18:59:10.0 +01:00
      }
    }
    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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    +mentions: [
      "@balderdash9@lemmy.zip"
      "@tdawg@lemmy.world"
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    +children: Doctrine\ORM\PersistentCollection {#5103 …}
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    +votes: Doctrine\ORM\PersistentCollection {#5107 …}
    +reports: Doctrine\ORM\PersistentCollection {#5109 …}
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      date: 2024-01-06 20:42:18.0 +01:00
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  }
  +root: App\Entity\EntryComment {#4913}
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    "@tdawg@lemmy.world"
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    date: 2024-01-06 20:55:30.0 +01:00
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
52 DENIED moderate 
App\Entity\EntryComment {#5204
  +user: Proxies\__CG__\App\Entity\User {#5205 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +image: null
    +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
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    +title: "EDIT: I THINK I STAND CORRECTED"
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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        "@balderdash9@lemmy.zip"
      ]
      +children: Doctrine\ORM\PersistentCollection {#4914 …}
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        date: 2024-01-06 18:59:10.0 +01:00
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    }
    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
    +lang: "en"
    +isAdult: false
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    +children: Doctrine\ORM\PersistentCollection {#5103 …}
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  }
  +root: App\Entity\EntryComment {#4913}
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
53 DENIED ROLE_USER 
null
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"Symfony\Component\Security\Core\Authorization\Voter\RoleHierarchyVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
54 DENIED moderate 
App\Entity\EntryComment {#5343
  +user: Proxies\__CG__\App\Entity\User {#1970 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
        \n
        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
        \n
        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
        \n
        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
        """
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    +body: "I don’t see what you are trying to say. You can also match 200 $1 bills with each $100 bill. The correspondence does not need to be one-to-one."
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    You’re right that we don’t need to, but mathematicians can use this method to prove that two infinite sets are the same size. This is how we know that the infinite set of whole numbers is the same size as the infinite set of integers. We can also prove that the set of real numbers is larger than the set of whole numbers.\n
    \n
    ![](https://lemmy.zip/pictrs/image/d69ea099-c7d8-4ef8-b20f-ab73e5b7c5ab.webp)\n
    \n
    I’m not quite sure how else to explain it, so I’ll link a Numberphile video where they do the demonstration on paper: [www.youtube.com/watch?v=elvOZm0d4H0&t=19s](https://www.youtube.com/watch?v=elvOZm0d4H0&t=19s) . Here you can see why it’s useful to try to establish this 1-1 correspondence. If you can’t do so, then the size of the two infinite sets are not equal.
    """
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55 DENIED edit 
App\Entity\EntryComment {#5343
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        Community rules\n
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        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
        \n
        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
        \n
        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
        \n
        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
        """
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    You’re right that we don’t need to, but mathematicians can use this method to prove that two infinite sets are the same size. This is how we know that the infinite set of whole numbers is the same size as the infinite set of integers. We can also prove that the set of real numbers is larger than the set of whole numbers.\n
    \n
    ![](https://lemmy.zip/pictrs/image/d69ea099-c7d8-4ef8-b20f-ab73e5b7c5ab.webp)\n
    \n
    I’m not quite sure how else to explain it, so I’ll link a Numberphile video where they do the demonstration on paper: [www.youtube.com/watch?v=elvOZm0d4H0&t=19s](https://www.youtube.com/watch?v=elvOZm0d4H0&t=19s) . Here you can see why it’s useful to try to establish this 1-1 correspondence. If you can’t do so, then the size of the two infinite sets are not equal.
    """
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
56 DENIED moderate 
App\Entity\EntryComment {#5343
  +user: Proxies\__CG__\App\Entity\User {#1970 …}
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    +user: Proxies\__CG__\App\Entity\User {#1970 …}
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        Community rules\n
        ---------------\n
        \n
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        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        \n
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        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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      date: 2024-01-06 18:07:31.0 +01:00
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  +parent: App\Entity\EntryComment {#5204
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        +magazine: App\Entity\Magazine {#266}
        +image: null
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        +root: null
        +body: "They’re both countibly infinite thus the same, no?"
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
        \n
        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
        \n
        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
        \n
        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: "I don’t see what you are trying to say. You can also match 200 $1 bills with each $100 bill. The correspondence does not need to be one-to-one."
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      date: 2024-01-06 20:55:30.0 +01:00
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    You’re right that we don’t need to, but mathematicians can use this method to prove that two infinite sets are the same size. This is how we know that the infinite set of whole numbers is the same size as the infinite set of integers. We can also prove that the set of real numbers is larger than the set of whole numbers.\n
    \n
    ![](https://lemmy.zip/pictrs/image/d69ea099-c7d8-4ef8-b20f-ab73e5b7c5ab.webp)\n
    \n
    I’m not quite sure how else to explain it, so I’ll link a Numberphile video where they do the demonstration on paper: [www.youtube.com/watch?v=elvOZm0d4H0&t=19s](https://www.youtube.com/watch?v=elvOZm0d4H0&t=19s) . Here you can see why it’s useful to try to establish this 1-1 correspondence. If you can’t do so, then the size of the two infinite sets are not equal.
    """
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 ACCESS ABSTAIN 
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
57 DENIED ROLE_USER 
null
 
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 ACCESS ABSTAIN 
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
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 ACCESS ABSTAIN
Show voter details
58 DENIED moderate 
App\Entity\EntryComment {#5414
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        Community rules\n
        ---------------\n
        \n
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        \n
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        \n
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        \n
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        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
          \n
          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
          \n
          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
          \n
          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
          """
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      +body: "I don’t see what you are trying to say. You can also match 200 $1 bills with each $100 bill. The correspondence does not need to be one-to-one."
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    +body: """
      You’re right that we don’t need to, but mathematicians can use this method to prove that two infinite sets are the same size. This is how we know that the infinite set of whole numbers is the same size as the infinite set of integers. We can also prove that the set of real numbers is larger than the set of whole numbers.\n
      \n
      ![](https://lemmy.zip/pictrs/image/d69ea099-c7d8-4ef8-b20f-ab73e5b7c5ab.webp)\n
      \n
      I’m not quite sure how else to explain it, so I’ll link a Numberphile video where they do the demonstration on paper: [www.youtube.com/watch?v=elvOZm0d4H0&t=19s](https://www.youtube.com/watch?v=elvOZm0d4H0&t=19s) . Here you can see why it’s useful to try to establish this 1-1 correspondence. If you can’t do so, then the size of the two infinite sets are not equal.
      """
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    > We can also prove that the set of rational numbers is larger than the set of whole numbers.\n
    \n
    The video shows that rational numbers (aka fractions) are countable (or listable). Did you mean real numbers?
    """
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59 DENIED edit 
App\Entity\EntryComment {#5414
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
          \n
          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
          \n
          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
          \n
          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
          """
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      +body: "I don’t see what you are trying to say. You can also match 200 $1 bills with each $100 bill. The correspondence does not need to be one-to-one."
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    +body: """
      You’re right that we don’t need to, but mathematicians can use this method to prove that two infinite sets are the same size. This is how we know that the infinite set of whole numbers is the same size as the infinite set of integers. We can also prove that the set of real numbers is larger than the set of whole numbers.\n
      \n
      ![](https://lemmy.zip/pictrs/image/d69ea099-c7d8-4ef8-b20f-ab73e5b7c5ab.webp)\n
      \n
      I’m not quite sure how else to explain it, so I’ll link a Numberphile video where they do the demonstration on paper: [www.youtube.com/watch?v=elvOZm0d4H0&t=19s](https://www.youtube.com/watch?v=elvOZm0d4H0&t=19s) . Here you can see why it’s useful to try to establish this 1-1 correspondence. If you can’t do so, then the size of the two infinite sets are not equal.
      """
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  +body: """
    > We can also prove that the set of rational numbers is larger than the set of whole numbers.\n
    \n
    The video shows that rational numbers (aka fractions) are countable (or listable). Did you mean real numbers?
    """
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60 DENIED moderate 
App\Entity\EntryComment {#5414
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
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        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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          +body: "They’re both countibly infinite thus the same, no?"
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        +body: """
          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
          \n
          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
          \n
          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
          \n
          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
          """
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      +body: "I don’t see what you are trying to say. You can also match 200 $1 bills with each $100 bill. The correspondence does not need to be one-to-one."
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    +body: """
      You’re right that we don’t need to, but mathematicians can use this method to prove that two infinite sets are the same size. This is how we know that the infinite set of whole numbers is the same size as the infinite set of integers. We can also prove that the set of real numbers is larger than the set of whole numbers.\n
      \n
      ![](https://lemmy.zip/pictrs/image/d69ea099-c7d8-4ef8-b20f-ab73e5b7c5ab.webp)\n
      \n
      I’m not quite sure how else to explain it, so I’ll link a Numberphile video where they do the demonstration on paper: [www.youtube.com/watch?v=elvOZm0d4H0&t=19s](https://www.youtube.com/watch?v=elvOZm0d4H0&t=19s) . Here you can see why it’s useful to try to establish this 1-1 correspondence. If you can’t do so, then the size of the two infinite sets are not equal.
      """
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  +root: App\Entity\EntryComment {#4913}
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    > We can also prove that the set of rational numbers is larger than the set of whole numbers.\n
    \n
    The video shows that rational numbers (aka fractions) are countable (or listable). Did you mean real numbers?
    """
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
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        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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            +body: "They’re both countibly infinite thus the same, no?"
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              date: 2024-01-06 18:59:10.0 +01:00
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
            \n
            For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
            \n
            So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
            \n
            You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
            """
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        +root: App\Entity\EntryComment {#4913}
        +body: "I don’t see what you are trying to say. You can also match 200 $1 bills with each $100 bill. The correspondence does not need to be one-to-one."
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        You’re right that we don’t need to, but mathematicians can use this method to prove that two infinite sets are the same size. This is how we know that the infinite set of whole numbers is the same size as the infinite set of integers. We can also prove that the set of real numbers is larger than the set of whole numbers.\n
        \n
        ![](https://lemmy.zip/pictrs/image/d69ea099-c7d8-4ef8-b20f-ab73e5b7c5ab.webp)\n
        \n
        I’m not quite sure how else to explain it, so I’ll link a Numberphile video where they do the demonstration on paper: [www.youtube.com/watch?v=elvOZm0d4H0&t=19s](https://www.youtube.com/watch?v=elvOZm0d4H0&t=19s) . Here you can see why it’s useful to try to establish this 1-1 correspondence. If you can’t do so, then the size of the two infinite sets are not equal.
        """
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        "@tdawg@lemmy.world"
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        "@balderdash9@lemmy.zip"
        "@tdawg@lemmy.world"
        "@Sibbo@sopuli.xyz"
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      > We can also prove that the set of rational numbers is larger than the set of whole numbers.\n
      \n
      The video shows that rational numbers (aka fractions) are countable (or listable). Did you mean real numbers?
      """
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      "@tdawg@lemmy.world"
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  }
  +root: App\Entity\EntryComment {#4913}
  +body: "Good catch, I’ll edit that sentence"
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    date: 2024-01-06 22:20:34.0 +01:00
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}
 
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63 DENIED edit 
App\Entity\EntryComment {#5481
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      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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            +body: "They’re both countibly infinite thus the same, no?"
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              date: 2024-01-06 18:59:10.0 +01:00
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
            \n
            For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
            \n
            So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
            \n
            You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
            """
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        +body: "I don’t see what you are trying to say. You can also match 200 $1 bills with each $100 bill. The correspondence does not need to be one-to-one."
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      +body: """
        You’re right that we don’t need to, but mathematicians can use this method to prove that two infinite sets are the same size. This is how we know that the infinite set of whole numbers is the same size as the infinite set of integers. We can also prove that the set of real numbers is larger than the set of whole numbers.\n
        \n
        ![](https://lemmy.zip/pictrs/image/d69ea099-c7d8-4ef8-b20f-ab73e5b7c5ab.webp)\n
        \n
        I’m not quite sure how else to explain it, so I’ll link a Numberphile video where they do the demonstration on paper: [www.youtube.com/watch?v=elvOZm0d4H0&t=19s](https://www.youtube.com/watch?v=elvOZm0d4H0&t=19s) . Here you can see why it’s useful to try to establish this 1-1 correspondence. If you can’t do so, then the size of the two infinite sets are not equal.
        """
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    +body: """
      > We can also prove that the set of rational numbers is larger than the set of whole numbers.\n
      \n
      The video shows that rational numbers (aka fractions) are countable (or listable). Did you mean real numbers?
      """
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  +body: "Good catch, I’ll edit that sentence"
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64 DENIED moderate 
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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      date: 2024-01-06 18:07:31.0 +01:00
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  +magazine: App\Entity\Magazine {#266}
  +image: null
  +parent: App\Entity\EntryComment {#5414
    +user: Proxies\__CG__\App\Entity\User {#5410 …}
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    +parent: App\Entity\EntryComment {#5343
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      +parent: App\Entity\EntryComment {#5204
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        +magazine: App\Entity\Magazine {#266}
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            +magazine: App\Entity\Magazine {#266}
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            +root: null
            +body: "They’re both countibly infinite thus the same, no?"
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              date: 2024-01-06 18:59:10.0 +01:00
            }
          }
          +root: App\Entity\EntryComment {#4913}
          +body: """
            To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
            \n
            For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
            \n
            So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
            \n
            You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
            """
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            date: 2024-01-06 20:42:18.0 +01:00
          }
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        +root: App\Entity\EntryComment {#4913}
        +body: "I don’t see what you are trying to say. You can also match 200 $1 bills with each $100 bill. The correspondence does not need to be one-to-one."
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          date: 2024-01-06 20:55:30.0 +01:00
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        You’re right that we don’t need to, but mathematicians can use this method to prove that two infinite sets are the same size. This is how we know that the infinite set of whole numbers is the same size as the infinite set of integers. We can also prove that the set of real numbers is larger than the set of whole numbers.\n
        \n
        ![](https://lemmy.zip/pictrs/image/d69ea099-c7d8-4ef8-b20f-ab73e5b7c5ab.webp)\n
        \n
        I’m not quite sure how else to explain it, so I’ll link a Numberphile video where they do the demonstration on paper: [www.youtube.com/watch?v=elvOZm0d4H0&t=19s](https://www.youtube.com/watch?v=elvOZm0d4H0&t=19s) . Here you can see why it’s useful to try to establish this 1-1 correspondence. If you can’t do so, then the size of the two infinite sets are not equal.
        """
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        "@tdawg@lemmy.world"
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        "@balderdash9@lemmy.zip"
        "@tdawg@lemmy.world"
        "@Sibbo@sopuli.xyz"
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      > We can also prove that the set of rational numbers is larger than the set of whole numbers.\n
      \n
      The video shows that rational numbers (aka fractions) are countable (or listable). Did you mean real numbers?
      """
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      date: 2024-01-06 22:04:03.0 +01:00
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  +body: "Good catch, I’ll edit that sentence"
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
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66 DENIED moderate 
App\Entity\EntryComment {#5220
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      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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    +createdAt: DateTimeImmutable @1704570138 {#5101
      date: 2024-01-06 20:42:18.0 +01:00
    }
  }
  +root: App\Entity\EntryComment {#4913}
  +body: """
    > each $100 bill is worth more.\n
    \n
    But the creation of each additional bill devalues the currency. At some point the value of all this paper money is negative because it’s not worth keeping and storing. The point at which they cross from positive to negative value would give them zero value, and they’d be equal.
    """
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
67 DENIED edit 
App\Entity\EntryComment {#5220
  +user: Proxies\__CG__\App\Entity\User {#5221 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
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        \n
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        \n
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        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +title: "EDIT: I THINK I STAND CORRECTED"
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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      date: 2024-01-06 18:07:31.0 +01:00
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        date: 2024-01-06 18:59:10.0 +01:00
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    }
    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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    +children: Doctrine\ORM\PersistentCollection {#5103 …}
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    +votes: Doctrine\ORM\PersistentCollection {#5107 …}
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    > each $100 bill is worth more.\n
    \n
    But the creation of each additional bill devalues the currency. At some point the value of all this paper money is negative because it’s not worth keeping and storing. The point at which they cross from positive to negative value would give them zero value, and they’d be equal.
    """
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
68 DENIED moderate 
App\Entity\EntryComment {#5220
  +user: Proxies\__CG__\App\Entity\User {#5221 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
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        \n
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        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +image: null
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
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    }
    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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    +isAdult: false
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      date: 2024-01-06 20:42:18.0 +01:00
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    +tags: null
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      "@balderdash9@lemmy.zip"
      "@tdawg@lemmy.world"
    ]
    +children: Doctrine\ORM\PersistentCollection {#5103 …}
    +nested: Doctrine\ORM\PersistentCollection {#5105 …}
    +votes: Doctrine\ORM\PersistentCollection {#5107 …}
    +reports: Doctrine\ORM\PersistentCollection {#5109 …}
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    -bodyTs: "'1':95,110,123,162 '100':103,117,129,167,171 'ad':119 'add':107 'also':69 'anoth':116 'bill':96,104,111,118,124,130,138,163,168,172 'cardin':10,146 'correspond':20,128 'count':42,59 'dinner':34 'equal':83 'establish':2,14 'everytim':60 'exampl':28 'fork':46,64 'guest':55 'infinit':141 'infinitum':120 'instead':57 'larg':33 'larger':9 'let':90,105 'like':148 'll':51,98 'm':154 'make':155 'mani':161 'match':76,99,113 'member':23 'must':80 'need':52 'number':84,87,136 'one':4,17,19,94,102 'one-to-on':16 'parti':35 'place':62,70 'point':152 'second':109 'see':150 'set':5,26,142 'spoon':48,72 'start':92 'tabl':67 'tri':12 'two':78,140 'want':40 'whatev':85 'whether':3 'worth':174"
    +ranking: 0
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    +visibility: "visible             "
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    +createdAt: DateTimeImmutable @1704570138 {#5101
      date: 2024-01-06 20:42:18.0 +01:00
    }
  }
  +root: App\Entity\EntryComment {#4913}
  +body: """
    > each $100 bill is worth more.\n
    \n
    But the creation of each additional bill devalues the currency. At some point the value of all this paper money is negative because it’s not worth keeping and storing. The point at which they cross from positive to negative value would give them zero value, and they’d be equal.
    """
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  +isAdult: false
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    "@balderdash9@lemmy.zip"
    "@tdawg@lemmy.world"
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  +children: Doctrine\ORM\PersistentCollection {#5222 …}
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    date: 2024-01-06 22:00:14.0 +01:00
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
69 DENIED ROLE_USER 
null
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"Symfony\Component\Security\Core\Authorization\Voter\RoleHierarchyVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
70 DENIED moderate 
App\Entity\EntryComment {#5237
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  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
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      +title: "memes"
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        Community rules\n
        ---------------\n
        \n
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        \n
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        \n
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        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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      date: 2024-04-09 01:07:05.0 +02:00
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      date: 2024-01-06 18:07:31.0 +01:00
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  +magazine: App\Entity\Magazine {#266}
  +image: null
  +parent: App\Entity\EntryComment {#5102
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +entry: App\Entity\Entry {#2412}
    +magazine: App\Entity\Magazine {#266}
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    +parent: App\Entity\EntryComment {#4913
      +user: App\Entity\User {#4926 …}
      +entry: App\Entity\Entry {#2412}
      +magazine: App\Entity\Magazine {#266}
      +image: null
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      +body: "They’re both countibly infinite thus the same, no?"
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        "@balderdash9@lemmy.zip"
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        date: 2024-01-06 18:59:10.0 +01:00
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    }
    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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      date: 2024-01-06 20:42:18.0 +01:00
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  }
  +root: App\Entity\EntryComment {#4913}
  +body: """
    > You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.\n
    \n
    But the monetary value of the bills in each stack still adds up to infinity for both. It’s like having an uncapped Internet connection at 56 KBit/s versus 100 MBit/s: You can download all the things with both, but that alone doesn’t make them equal.
    """
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    "@tdawg@lemmy.world"
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
71 DENIED edit 
App\Entity\EntryComment {#5237
  +user: Proxies\__CG__\App\Entity\User {#5238 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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      date: 2024-04-09 01:07:05.0 +02:00
    }
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      date: 2024-01-06 18:07:31.0 +01:00
    }
  }
  +magazine: App\Entity\Magazine {#266}
  +image: null
  +parent: App\Entity\EntryComment {#5102
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +entry: App\Entity\Entry {#2412}
    +magazine: App\Entity\Magazine {#266}
    +image: null
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      +user: App\Entity\User {#4926 …}
      +entry: App\Entity\Entry {#2412}
      +magazine: App\Entity\Magazine {#266}
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        "@balderdash9@lemmy.zip"
      ]
      +children: Doctrine\ORM\PersistentCollection {#4914 …}
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      +reports: Doctrine\ORM\PersistentCollection {#4920 …}
      +favourites: Doctrine\ORM\PersistentCollection {#4922 …}
      +notifications: Doctrine\ORM\PersistentCollection {#4924 …}
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        date: 2024-01-06 18:59:10.0 +01:00
      }
    }
    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
    +lang: "en"
    +isAdult: false
    +favouriteCount: 24
    +score: 0
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      date: 2024-01-06 20:42:18.0 +01:00
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    +ip: null
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    +mentions: [
      "@balderdash9@lemmy.zip"
      "@tdawg@lemmy.world"
    ]
    +children: Doctrine\ORM\PersistentCollection {#5103 …}
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    +votes: Doctrine\ORM\PersistentCollection {#5107 …}
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    +downVotes: 0
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    +editedAt: null
    +createdAt: DateTimeImmutable @1704570138 {#5101
      date: 2024-01-06 20:42:18.0 +01:00
    }
  }
  +root: App\Entity\EntryComment {#4913}
  +body: """
    > You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.\n
    \n
    But the monetary value of the bills in each stack still adds up to infinity for both. It’s like having an uncapped Internet connection at 56 KBit/s versus 100 MBit/s: You can download all the things with both, but that alone doesn’t make them equal.
    """
  +lang: "en"
  +isAdult: false
  +favouriteCount: 1
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    date: 2024-01-07 01:58:44.0 +01:00
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    "@balderdash9@lemmy.zip"
    "@tdawg@lemmy.world"
    "@balderdash9@lemmy.zip"
    "@tdawg@lemmy.world"
  ]
  +children: Doctrine\ORM\PersistentCollection {#5239 …}
  +nested: Doctrine\ORM\PersistentCollection {#5241 …}
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    date: 2024-04-08 17:00:35.0 +02:00
  }
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    date: 2024-01-07 01:58:44.0 +01:00
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
72 DENIED moderate 
App\Entity\EntryComment {#5237
  +user: Proxies\__CG__\App\Entity\User {#5238 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
      +rules: null
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      +markedForDeletionAt: null
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      +moderatorRequests: Doctrine\ORM\PersistentCollection {#223 …}
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      +apInboxUrl: "https://lemmy.world/inbox"
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      }
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        date: 2023-11-04 08:50:55.0 +01:00
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    }
    +image: null
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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      ]
      +children: Doctrine\ORM\PersistentCollection {#4914 …}
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      +reports: Doctrine\ORM\PersistentCollection {#4920 …}
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      -id: 286150
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        date: 2024-01-06 18:59:10.0 +01:00
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    }
    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
    +lang: "en"
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      "@balderdash9@lemmy.zip"
      "@tdawg@lemmy.world"
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    +editedAt: null
    +createdAt: DateTimeImmutable @1704570138 {#5101
      date: 2024-01-06 20:42:18.0 +01:00
    }
  }
  +root: App\Entity\EntryComment {#4913}
  +body: """
    > You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.\n
    \n
    But the monetary value of the bills in each stack still adds up to infinity for both. It’s like having an uncapped Internet connection at 56 KBit/s versus 100 MBit/s: You can download all the things with both, but that alone doesn’t make them equal.
    """
  +lang: "en"
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    date: 2024-01-07 01:58:44.0 +01:00
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    "@balderdash9@lemmy.zip"
    "@tdawg@lemmy.world"
    "@balderdash9@lemmy.zip"
    "@tdawg@lemmy.world"
  ]
  +children: Doctrine\ORM\PersistentCollection {#5239 …}
  +nested: Doctrine\ORM\PersistentCollection {#5241 …}
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  +reports: Doctrine\ORM\PersistentCollection {#5245 …}
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    date: 2024-01-07 01:58:44.0 +01:00
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
73 DENIED ROLE_USER 
null
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"Symfony\Component\Security\Core\Authorization\Voter\RoleHierarchyVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
74 DENIED moderate 
App\Entity\EntryComment {#5253
  +user: Proxies\__CG__\App\Entity\User {#5254 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
      +rules: null
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        date: 2024-01-06 18:59:10.0 +01:00
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    > but each $100 bill is worth more.\n
    \n
    But the meme doesn’t talk about the value of each $100 bill; it talks about the value of the bills collectively.
    """
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}
 
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 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
75 DENIED edit 
App\Entity\EntryComment {#5253
  +user: Proxies\__CG__\App\Entity\User {#5254 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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    +root: App\Entity\EntryComment {#4913}
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      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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  +root: App\Entity\EntryComment {#4913}
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    > but each $100 bill is worth more.\n
    \n
    But the meme doesn’t talk about the value of each $100 bill; it talks about the value of the bills collectively.
    """
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
76 DENIED moderate 
App\Entity\EntryComment {#5253
  +user: Proxies\__CG__\App\Entity\User {#5254 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    > but each $100 bill is worth more.\n
    \n
    But the meme doesn’t talk about the value of each $100 bill; it talks about the value of the bills collectively.
    """
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}
 
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78 DENIED moderate 
App\Entity\EntryComment {#5269
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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  }
  +root: App\Entity\EntryComment {#4913}
  +body: """
    I think you’re misunderstanding the math a bit here. Let me give an example.\n
    \n
    If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
    Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
    But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
    \n
    The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
    \n
    Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
    \n
    The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
    """
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    "@tdawg@lemmy.world"
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
79 DENIED edit 
App\Entity\EntryComment {#5269
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    +user: Proxies\__CG__\App\Entity\User {#1970 …}
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      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +image: null
    +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
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    +title: "EDIT: I THINK I STAND CORRECTED"
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      date: 2024-01-06 18:07:31.0 +01:00
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      +entry: App\Entity\Entry {#2412}
      +magazine: App\Entity\Magazine {#266}
      +image: null
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      +body: "They’re both countibly infinite thus the same, no?"
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      ]
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        date: 2024-01-06 18:59:10.0 +01:00
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    }
    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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      "@balderdash9@lemmy.zip"
      "@tdawg@lemmy.world"
    ]
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      date: 2024-01-06 20:42:18.0 +01:00
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  }
  +root: App\Entity\EntryComment {#4913}
  +body: """
    I think you’re misunderstanding the math a bit here. Let me give an example.\n
    \n
    If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
    Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
    But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
    \n
    The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
    \n
    Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
    \n
    The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
    """
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    "@tdawg@lemmy.world"
  ]
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    date: 2024-01-07 03:12:04.0 +01:00
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
80 DENIED moderate 
App\Entity\EntryComment {#5269
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    +user: Proxies\__CG__\App\Entity\User {#1970 …}
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      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
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        \n
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        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +image: null
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    I think you’re misunderstanding the math a bit here. Let me give an example.\n
    \n
    If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
    Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
    But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
    \n
    The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
    \n
    Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
    \n
    The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
    """
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
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        4. No botsNo bots without the express approval of the mods or the admins\n
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        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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        +body: "They’re both countibly infinite thus the same, no?"
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
        \n
        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
        \n
        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
        \n
        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      I think you’re misunderstanding the math a bit here. Let me give an example.\n
      \n
      If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
      Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
      But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
      \n
      The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
      \n
      Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
      \n
      The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
      """
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    ~~I was thinking that, bill for bill, the $100 bill will always be greater value. But I can see the plausibility in your argument that, when we’re counting both the value of the members of each set, the value of the $100 bill pile can always be found somewhere in the series of $1 bills. The latter will always “catch up” so to speak. But, if this line of reasoning is true, it should apply to other countably infinite sets as well. Consider the following two examples.\n
    \n
    First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
    \n
    Second, there are equally many positive integers as there are negative integers. There is a 1-1 correspondence such that the number of numbers is the same. However, if we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is quantitatively greater than the negative.\n
    \n
    In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.~~\n
    \n
    EDIT: I see now that I was mistaken.
    """
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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83 DENIED edit 
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        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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  +magazine: App\Entity\Magazine {#266}
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  +parent: App\Entity\EntryComment {#5269
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    +parent: App\Entity\EntryComment {#5102
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      +parent: App\Entity\EntryComment {#4913
        +user: App\Entity\User {#4926 …}
        +entry: App\Entity\Entry {#2412}
        +magazine: App\Entity\Magazine {#266}
        +image: null
        +parent: null
        +root: null
        +body: "They’re both countibly infinite thus the same, no?"
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
        \n
        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
        \n
        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
        \n
        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      I think you’re misunderstanding the math a bit here. Let me give an example.\n
      \n
      If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
      Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
      But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
      \n
      The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
      \n
      Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
      \n
      The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
      """
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      date: 2024-01-07 03:12:04.0 +01:00
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    ~~I was thinking that, bill for bill, the $100 bill will always be greater value. But I can see the plausibility in your argument that, when we’re counting both the value of the members of each set, the value of the $100 bill pile can always be found somewhere in the series of $1 bills. The latter will always “catch up” so to speak. But, if this line of reasoning is true, it should apply to other countably infinite sets as well. Consider the following two examples.\n
    \n
    First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
    \n
    Second, there are equally many positive integers as there are negative integers. There is a 1-1 correspondence such that the number of numbers is the same. However, if we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is quantitatively greater than the negative.\n
    \n
    In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.~~\n
    \n
    EDIT: I see now that I was mistaken.
    """
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN
Show voter details
84 DENIED moderate 
App\Entity\EntryComment {#5374
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        ---------------\n
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        \n
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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        +body: "They’re both countibly infinite thus the same, no?"
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
        \n
        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
        \n
        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
        \n
        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
        """
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    +body: """
      I think you’re misunderstanding the math a bit here. Let me give an example.\n
      \n
      If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
      Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
      But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
      \n
      The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
      \n
      Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
      \n
      The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
      """
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  +body: """
    ~~I was thinking that, bill for bill, the $100 bill will always be greater value. But I can see the plausibility in your argument that, when we’re counting both the value of the members of each set, the value of the $100 bill pile can always be found somewhere in the series of $1 bills. The latter will always “catch up” so to speak. But, if this line of reasoning is true, it should apply to other countably infinite sets as well. Consider the following two examples.\n
    \n
    First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
    \n
    Second, there are equally many positive integers as there are negative integers. There is a 1-1 correspondence such that the number of numbers is the same. However, if we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is quantitatively greater than the negative.\n
    \n
    In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.~~\n
    \n
    EDIT: I see now that I was mistaken.
    """
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        Sister communities\n
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
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          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
          \n
          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
          \n
          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
          \n
          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
          """
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          date: 2024-01-06 20:42:18.0 +01:00
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        I think you’re misunderstanding the math a bit here. Let me give an example.\n
        \n
        If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
        Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
        But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
        \n
        The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
        \n
        Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
        \n
        The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
        """
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        date: 2024-01-07 03:12:04.0 +01:00
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      ~~I was thinking that, bill for bill, the $100 bill will always be greater value. But I can see the plausibility in your argument that, when we’re counting both the value of the members of each set, the value of the $100 bill pile can always be found somewhere in the series of $1 bills. The latter will always “catch up” so to speak. But, if this line of reasoning is true, it should apply to other countably infinite sets as well. Consider the following two examples.\n
      \n
      First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
      \n
      Second, there are equally many positive integers as there are negative integers. There is a 1-1 correspondence such that the number of numbers is the same. However, if we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is quantitatively greater than the negative.\n
      \n
      In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.~~\n
      \n
      EDIT: I see now that I was mistaken.
      """
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  +body: """
    Ah but you see if you take into consideration it’s talking about bills and not money in an account you have to take into consideration the material reality. A person who receives more 100s would have an easier time depositing and spending the money therefore they have higher utility, therefore they are worth more than the 1s.\n
    \n
    Sure they may have the same amount of numbers (and 1, 2,3… May even be larger because you’ll eventually repeat in the 1:1 examile) but in reality the one with the 100s will have an easier time using their objects (100 dollar bills) than the ones who pick the 1 dollar bills
    """
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87 DENIED edit 
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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          +body: "They’re both countibly infinite thus the same, no?"
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
          \n
          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
          \n
          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
          \n
          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
          """
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        I think you’re misunderstanding the math a bit here. Let me give an example.\n
        \n
        If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
        Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
        But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
        \n
        The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
        \n
        Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
        \n
        The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
        """
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    +body: """
      ~~I was thinking that, bill for bill, the $100 bill will always be greater value. But I can see the plausibility in your argument that, when we’re counting both the value of the members of each set, the value of the $100 bill pile can always be found somewhere in the series of $1 bills. The latter will always “catch up” so to speak. But, if this line of reasoning is true, it should apply to other countably infinite sets as well. Consider the following two examples.\n
      \n
      First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
      \n
      Second, there are equally many positive integers as there are negative integers. There is a 1-1 correspondence such that the number of numbers is the same. However, if we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is quantitatively greater than the negative.\n
      \n
      In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.~~\n
      \n
      EDIT: I see now that I was mistaken.
      """
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  +body: """
    Ah but you see if you take into consideration it’s talking about bills and not money in an account you have to take into consideration the material reality. A person who receives more 100s would have an easier time depositing and spending the money therefore they have higher utility, therefore they are worth more than the 1s.\n
    \n
    Sure they may have the same amount of numbers (and 1, 2,3… May even be larger because you’ll eventually repeat in the 1:1 examile) but in reality the one with the 100s will have an easier time using their objects (100 dollar bills) than the ones who pick the 1 dollar bills
    """
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88 DENIED moderate 
App\Entity\EntryComment {#5446
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
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        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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          +body: "They’re both countibly infinite thus the same, no?"
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        +body: """
          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
          \n
          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
          \n
          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
          \n
          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
          """
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      +body: """
        I think you’re misunderstanding the math a bit here. Let me give an example.\n
        \n
        If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
        Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
        But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
        \n
        The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
        \n
        Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
        \n
        The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
        """
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        date: 2024-01-07 03:12:04.0 +01:00
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      ~~I was thinking that, bill for bill, the $100 bill will always be greater value. But I can see the plausibility in your argument that, when we’re counting both the value of the members of each set, the value of the $100 bill pile can always be found somewhere in the series of $1 bills. The latter will always “catch up” so to speak. But, if this line of reasoning is true, it should apply to other countably infinite sets as well. Consider the following two examples.\n
      \n
      First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
      \n
      Second, there are equally many positive integers as there are negative integers. There is a 1-1 correspondence such that the number of numbers is the same. However, if we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is quantitatively greater than the negative.\n
      \n
      In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.~~\n
      \n
      EDIT: I see now that I was mistaken.
      """
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    Ah but you see if you take into consideration it’s talking about bills and not money in an account you have to take into consideration the material reality. A person who receives more 100s would have an easier time depositing and spending the money therefore they have higher utility, therefore they are worth more than the 1s.\n
    \n
    Sure they may have the same amount of numbers (and 1, 2,3… May even be larger because you’ll eventually repeat in the 1:1 examile) but in reality the one with the 100s will have an easier time using their objects (100 dollar bills) than the ones who pick the 1 dollar bills
    """
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App\Entity\EntryComment {#5389
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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        +root: null
        +body: "They’re both countibly infinite thus the same, no?"
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
        \n
        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
        \n
        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
        \n
        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      I think you’re misunderstanding the math a bit here. Let me give an example.\n
      \n
      If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
      Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
      But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
      \n
      The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
      \n
      Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
      \n
      The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
      """
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      "@tdawg@lemmy.world"
    ]
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      date: 2024-01-07 03:12:04.0 +01:00
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  }
  +root: App\Entity\EntryComment {#4913}
  +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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    "@tdawg@lemmy.world"
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
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"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
91 DENIED edit 
App\Entity\EntryComment {#5389
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    +user: Proxies\__CG__\App\Entity\User {#1970 …}
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      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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        date: 2023-11-04 08:50:55.0 +01:00
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    +image: null
    +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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      date: 2024-01-06 18:07:31.0 +01:00
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  +magazine: App\Entity\Magazine {#266}
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  +parent: App\Entity\EntryComment {#5269
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    +parent: App\Entity\EntryComment {#5102
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        +entry: App\Entity\Entry {#2412}
        +magazine: App\Entity\Magazine {#266}
        +image: null
        +parent: null
        +root: null
        +body: "They’re both countibly infinite thus the same, no?"
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          date: 2024-01-06 18:59:10.0 +01:00
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      }
      +root: App\Entity\EntryComment {#4913}
      +body: """
        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
        \n
        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
        \n
        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
        \n
        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
        """
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        "@balderdash9@lemmy.zip"
        "@tdawg@lemmy.world"
      ]
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        date: 2024-01-06 20:42:18.0 +01:00
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      I think you’re misunderstanding the math a bit here. Let me give an example.\n
      \n
      If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
      Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
      But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
      \n
      The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
      \n
      Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
      \n
      The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
      """
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      date: 2024-01-07 03:12:04.0 +01:00
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  }
  +root: App\Entity\EntryComment {#4913}
  +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
92 DENIED moderate 
App\Entity\EntryComment {#5389
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      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
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        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
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        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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        +root: null
        +body: "They’re both countibly infinite thus the same, no?"
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          date: 2024-01-06 18:59:10.0 +01:00
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
        \n
        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
        \n
        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
        \n
        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
        """
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        date: 2024-01-06 20:42:18.0 +01:00
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      I think you’re misunderstanding the math a bit here. Let me give an example.\n
      \n
      If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
      Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
      But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
      \n
      The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
      \n
      Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
      \n
      The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
      """
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      date: 2024-01-07 03:12:04.0 +01:00
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  +root: App\Entity\EntryComment {#4913}
  +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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94 DENIED moderate 
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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          +body: "They’re both countibly infinite thus the same, no?"
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
          \n
          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
          \n
          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
          \n
          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
          """
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        I think you’re misunderstanding the math a bit here. Let me give an example.\n
        \n
        If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
        Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
        But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
        \n
        The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
        \n
        Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
        \n
        The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
        """
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        "@tdawg@lemmy.world"
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        date: 2024-01-07 03:12:04.0 +01:00
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    +root: App\Entity\EntryComment {#4913}
    +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
    \n
    Countably infinite is when you can pick any number in the set and know what comes next.\n
    \n
    Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
    \n
    The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
    \n
    It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
    It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
    \n
    Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
    """
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Show voter details
95 DENIED edit 
App\Entity\EntryComment {#5462
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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          +body: "They’re both countibly infinite thus the same, no?"
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            date: 2024-01-06 18:59:10.0 +01:00
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
          \n
          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
          \n
          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
          \n
          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
          """
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        I think you’re misunderstanding the math a bit here. Let me give an example.\n
        \n
        If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
        Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
        But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
        \n
        The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
        \n
        Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
        \n
        The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
    \n
    Countably infinite is when you can pick any number in the set and know what comes next.\n
    \n
    Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
    \n
    The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
    \n
    It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
    It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
    \n
    Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
    """
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96 DENIED moderate 
App\Entity\EntryComment {#5462
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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          +body: "They’re both countibly infinite thus the same, no?"
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
          \n
          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
          \n
          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
          \n
          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
          """
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        I think you’re misunderstanding the math a bit here. Let me give an example.\n
        \n
        If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
        Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
        But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
        \n
        The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
        \n
        Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
        \n
        The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
        """
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    +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
    \n
    Countably infinite is when you can pick any number in the set and know what comes next.\n
    \n
    Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
    \n
    The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
    \n
    It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
    It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
    \n
    Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
    """
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App\Entity\EntryComment {#5515
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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            +root: null
            +body: "They’re both countibly infinite thus the same, no?"
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              date: 2024-01-06 18:59:10.0 +01:00
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
            \n
            For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
            \n
            So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
            \n
            You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
            """
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            "@tdawg@lemmy.world"
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          I think you’re misunderstanding the math a bit here. Let me give an example.\n
          \n
          If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
          Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
          But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
          \n
          The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
          \n
          Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
          \n
          The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
          """
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          date: 2024-01-07 03:12:04.0 +01:00
        }
      }
      +root: App\Entity\EntryComment {#4913}
      +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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        "@tdawg@lemmy.world"
        "@Sombyr@lemmy.zip"
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        date: 2024-01-07 08:00:18.0 +01:00
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
      \n
      Countably infinite is when you can pick any number in the set and know what comes next.\n
      \n
      Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
      \n
      The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
      \n
      It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
      It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
      \n
      Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
      """
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      "@Sombyr@lemmy.zip"
      "@PotatoKat@lemmy.world"
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  +root: App\Entity\EntryComment {#4913}
  +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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99 DENIED edit 
App\Entity\EntryComment {#5515
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +image: null
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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            +body: "They’re both countibly infinite thus the same, no?"
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              date: 2024-01-06 18:59:10.0 +01:00
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
            \n
            For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
            \n
            So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
            \n
            You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
            """
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          I think you’re misunderstanding the math a bit here. Let me give an example.\n
          \n
          If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
          Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
          But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
          \n
          The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
          \n
          Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
          \n
          The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
          """
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          date: 2024-01-07 03:12:04.0 +01:00
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      +root: App\Entity\EntryComment {#4913}
      +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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        date: 2024-01-07 08:00:18.0 +01:00
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
      \n
      Countably infinite is when you can pick any number in the set and know what comes next.\n
      \n
      Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
      \n
      The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
      \n
      It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
      It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
      \n
      Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
      """
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  +root: App\Entity\EntryComment {#4913}
  +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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            +body: "They’re both countibly infinite thus the same, no?"
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              date: 2024-01-06 18:59:10.0 +01:00
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
            \n
            For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
            \n
            So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
            \n
            You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
            """
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          I think you’re misunderstanding the math a bit here. Let me give an example.\n
          \n
          If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
          Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
          But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
          \n
          The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
          \n
          Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
          \n
          The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
          """
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          date: 2024-01-07 03:12:04.0 +01:00
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      +root: App\Entity\EntryComment {#4913}
      +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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        date: 2024-01-07 08:00:18.0 +01:00
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
      \n
      Countably infinite is when you can pick any number in the set and know what comes next.\n
      \n
      Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
      \n
      The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
      \n
      It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
      It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
      \n
      Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
      """
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  +root: App\Entity\EntryComment {#4913}
  +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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"App\Security\Voter\MagazineVoter"
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"App\Security\Voter\MessageThreadVoter"
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"App\Security\Voter\MessageVoter"
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"App\Security\Voter\NotificationVoter"
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"App\Security\Voter\OAuth2UserConsentVoter"
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"App\Security\Voter\PostCommentVoter"
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Show voter details
102 DENIED moderate 
App\Entity\EntryComment {#5568
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      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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              +image: null
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              +root: null
              +body: "They’re both countibly infinite thus the same, no?"
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                date: 2024-01-06 18:59:10.0 +01:00
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
              \n
              For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
              \n
              So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
              \n
              You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
              """
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              "@tdawg@lemmy.world"
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              date: 2024-01-06 20:42:18.0 +01:00
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            I think you’re misunderstanding the math a bit here. Let me give an example.\n
            \n
            If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
            Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
            But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
            \n
            The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
            \n
            Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
            \n
            The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
            """
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            date: 2024-01-07 03:12:04.0 +01:00
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        }
        +root: App\Entity\EntryComment {#4913}
        +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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          date: 2024-01-07 08:00:18.0 +01:00
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
        \n
        Countably infinite is when you can pick any number in the set and know what comes next.\n
        \n
        Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
        \n
        The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
        \n
        It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
        It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
        \n
        Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
        """
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        "@Sombyr@lemmy.zip"
        "@PotatoKat@lemmy.world"
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    +root: App\Entity\EntryComment {#4913}
    +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    > if you’re talking about physical objects you have to consider material reality\n
    \n
    If you’re considering material reality then you can’t have an infinite amount of it.
    """
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103 DENIED edit 
App\Entity\EntryComment {#5568
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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              +image: null
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              +root: null
              +body: "They’re both countibly infinite thus the same, no?"
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                date: 2024-01-06 18:59:10.0 +01:00
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
              \n
              For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
              \n
              So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
              \n
              You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
              """
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              "@tdawg@lemmy.world"
            ]
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              date: 2024-01-06 20:42:18.0 +01:00
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            I think you’re misunderstanding the math a bit here. Let me give an example.\n
            \n
            If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
            Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
            But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
            \n
            The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
            \n
            Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
            \n
            The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
            """
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            "@tdawg@lemmy.world"
          ]
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            date: 2024-01-07 03:12:04.0 +01:00
          }
        }
        +root: App\Entity\EntryComment {#4913}
        +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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          "@tdawg@lemmy.world"
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          date: 2024-01-07 08:00:18.0 +01:00
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
        \n
        Countably infinite is when you can pick any number in the set and know what comes next.\n
        \n
        Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
        \n
        The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
        \n
        It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
        It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
        \n
        Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
        """
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        "@tdawg@lemmy.world"
        "@Sombyr@lemmy.zip"
        "@PotatoKat@lemmy.world"
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        date: 2024-06-22 15:09:48.0 +02:00
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        date: 2024-01-07 08:21:09.0 +01:00
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    +root: App\Entity\EntryComment {#4913}
    +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    > if you’re talking about physical objects you have to consider material reality\n
    \n
    If you’re considering material reality then you can’t have an infinite amount of it.
    """
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
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"App\Security\Voter\MessageThreadVoter"
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"App\Security\Voter\MessageVoter"
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Show voter details
104 DENIED moderate 
App\Entity\EntryComment {#5568
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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              +image: null
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              +root: null
              +body: "They’re both countibly infinite thus the same, no?"
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                date: 2024-01-06 18:59:10.0 +01:00
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
              \n
              For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
              \n
              So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
              \n
              You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
              """
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              "@tdawg@lemmy.world"
            ]
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            -id: 286459
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              date: 2024-01-06 20:42:18.0 +01:00
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            I think you’re misunderstanding the math a bit here. Let me give an example.\n
            \n
            If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
            Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
            But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
            \n
            The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
            \n
            Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
            \n
            The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
            """
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            "@tdawg@lemmy.world"
          ]
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            date: 2024-01-07 03:12:04.0 +01:00
          }
        }
        +root: App\Entity\EntryComment {#4913}
        +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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          "@tdawg@lemmy.world"
          "@Sombyr@lemmy.zip"
        ]
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          date: 2024-01-07 08:00:18.0 +01:00
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
        \n
        Countably infinite is when you can pick any number in the set and know what comes next.\n
        \n
        Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
        \n
        The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
        \n
        It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
        It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
        \n
        Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
        """
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        "@tdawg@lemmy.world"
        "@Sombyr@lemmy.zip"
        "@PotatoKat@lemmy.world"
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        date: 2024-06-22 15:09:48.0 +02:00
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        date: 2024-01-07 08:21:09.0 +01:00
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    }
    +root: App\Entity\EntryComment {#4913}
    +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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      "@tdawg@lemmy.world"
      "@Sombyr@lemmy.zip"
      "@PotatoKat@lemmy.world"
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    > if you’re talking about physical objects you have to consider material reality\n
    \n
    If you’re considering material reality then you can’t have an infinite amount of it.
    """
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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                +image: null
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                +root: null
                +body: "They’re both countibly infinite thus the same, no?"
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              +root: App\Entity\EntryComment {#4913}
              +body: """
                To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                \n
                For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                \n
                So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                \n
                You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                """
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                "@tdawg@lemmy.world"
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              I think you’re misunderstanding the math a bit here. Let me give an example.\n
              \n
              If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
              Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
              But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
              \n
              The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
              \n
              Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
              \n
              The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
              """
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          +root: App\Entity\EntryComment {#4913}
          +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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            date: 2024-01-07 08:00:18.0 +01:00
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
          \n
          Countably infinite is when you can pick any number in the set and know what comes next.\n
          \n
          Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
          \n
          The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
          \n
          It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
          It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
          \n
          Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
          """
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          "@tdawg@lemmy.world"
          "@Sombyr@lemmy.zip"
          "@PotatoKat@lemmy.world"
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      +root: App\Entity\EntryComment {#4913}
      +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      > if you’re talking about physical objects you have to consider material reality\n
      \n
      If you’re considering material reality then you can’t have an infinite amount of it.
      """
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  +root: App\Entity\EntryComment {#4913}
  +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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107 DENIED edit 
App\Entity\EntryComment {#5654
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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                +body: "They’re both countibly infinite thus the same, no?"
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              +root: App\Entity\EntryComment {#4913}
              +body: """
                To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                \n
                For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                \n
                So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                \n
                You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                """
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              I think you’re misunderstanding the math a bit here. Let me give an example.\n
              \n
              If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
              Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
              But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
              \n
              The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
              \n
              Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
              \n
              The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
              """
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          +root: App\Entity\EntryComment {#4913}
          +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
          \n
          Countably infinite is when you can pick any number in the set and know what comes next.\n
          \n
          Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
          \n
          The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
          \n
          It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
          It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
          \n
          Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
          """
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      +root: App\Entity\EntryComment {#4913}
      +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      > if you’re talking about physical objects you have to consider material reality\n
      \n
      If you’re considering material reality then you can’t have an infinite amount of it.
      """
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  +root: App\Entity\EntryComment {#4913}
  +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
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"App\Security\Voter\EntryCommentVoter"
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"App\Security\Voter\MessageThreadVoter"
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"App\Security\Voter\MessageVoter"
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"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
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Show voter details
108 DENIED moderate 
App\Entity\EntryComment {#5654
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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                +body: "They’re both countibly infinite thus the same, no?"
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              +root: App\Entity\EntryComment {#4913}
              +body: """
                To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                \n
                For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                \n
                So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                \n
                You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                """
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              I think you’re misunderstanding the math a bit here. Let me give an example.\n
              \n
              If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
              Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
              But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
              \n
              The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
              \n
              Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
              \n
              The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
              """
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              "@tdawg@lemmy.world"
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          }
          +root: App\Entity\EntryComment {#4913}
          +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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            date: 2024-01-07 08:00:18.0 +01:00
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
          \n
          Countably infinite is when you can pick any number in the set and know what comes next.\n
          \n
          Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
          \n
          The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
          \n
          It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
          It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
          \n
          Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
          """
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      +root: App\Entity\EntryComment {#4913}
      +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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    +body: """
      > if you’re talking about physical objects you have to consider material reality\n
      \n
      If you’re considering material reality then you can’t have an infinite amount of it.
      """
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  +root: App\Entity\EntryComment {#4913}
  +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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        Community rules\n
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        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
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        4. No botsNo bots without the express approval of the mods or the admins\n
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        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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                  +body: "They’re both countibly infinite thus the same, no?"
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                +root: App\Entity\EntryComment {#4913}
                +body: """
                  To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                  \n
                  For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                  \n
                  So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                  \n
                  You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                  """
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              +root: App\Entity\EntryComment {#4913}
              +body: """
                I think you’re misunderstanding the math a bit here. Let me give an example.\n
                \n
                If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                \n
                The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                \n
                Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                \n
                The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                """
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                date: 2024-01-07 03:12:04.0 +01:00
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            +root: App\Entity\EntryComment {#4913}
            +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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              date: 2024-01-07 08:00:18.0 +01:00
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
            \n
            Countably infinite is when you can pick any number in the set and know what comes next.\n
            \n
            Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
            \n
            The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
            \n
            It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
            It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
            \n
            Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
            """
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        +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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        > if you’re talking about physical objects you have to consider material reality\n
        \n
        If you’re considering material reality then you can’t have an infinite amount of it.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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    But the utility is not the issue in the premise.\n
    \n
    “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
    """
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111 DENIED edit 
App\Entity\EntryComment {#5688
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        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        4. No botsNo bots without the express approval of the mods or the admins\n
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        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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                +root: App\Entity\EntryComment {#4913}
                +body: """
                  To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                  \n
                  For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                  \n
                  So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                  \n
                  You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                  """
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                  date: 2024-01-06 20:42:18.0 +01:00
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              +root: App\Entity\EntryComment {#4913}
              +body: """
                I think you’re misunderstanding the math a bit here. Let me give an example.\n
                \n
                If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                \n
                The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                \n
                Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                \n
                The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                """
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                date: 2024-01-07 03:12:04.0 +01:00
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            }
            +root: App\Entity\EntryComment {#4913}
            +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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              date: 2024-01-07 08:00:18.0 +01:00
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
            \n
            Countably infinite is when you can pick any number in the set and know what comes next.\n
            \n
            Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
            \n
            The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
            \n
            It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
            It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
            \n
            Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
            """
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        +root: App\Entity\EntryComment {#4913}
        +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        > if you’re talking about physical objects you have to consider material reality\n
        \n
        If you’re considering material reality then you can’t have an infinite amount of it.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    But the utility is not the issue in the premise.\n
    \n
    “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
    """
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        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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                  +body: "They’re both countibly infinite thus the same, no?"
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                    date: 2024-01-06 18:59:10.0 +01:00
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                +root: App\Entity\EntryComment {#4913}
                +body: """
                  To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                  \n
                  For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                  \n
                  So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                  \n
                  You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                  """
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              +root: App\Entity\EntryComment {#4913}
              +body: """
                I think you’re misunderstanding the math a bit here. Let me give an example.\n
                \n
                If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                \n
                The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                \n
                Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                \n
                The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                """
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                date: 2024-01-07 03:12:04.0 +01:00
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            }
            +root: App\Entity\EntryComment {#4913}
            +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
            \n
            Countably infinite is when you can pick any number in the set and know what comes next.\n
            \n
            Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
            \n
            The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
            \n
            It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
            It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
            \n
            Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
            """
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        +root: App\Entity\EntryComment {#4913}
        +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        > if you’re talking about physical objects you have to consider material reality\n
        \n
        If you’re considering material reality then you can’t have an infinite amount of it.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    But the utility is not the issue in the premise.\n
    \n
    “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
    """
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114 DENIED moderate 
App\Entity\EntryComment {#5719
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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                    +image: null
                    +parent: null
                    +root: null
                    +body: "They’re both countibly infinite thus the same, no?"
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                    -id: 286150
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                      date: 2024-01-06 18:59:10.0 +01:00
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                  +root: App\Entity\EntryComment {#4913}
                  +body: """
                    To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                    \n
                    For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                    \n
                    So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                    \n
                    You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                    """
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                    "@tdawg@lemmy.world"
                  ]
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                    date: 2024-01-06 20:42:18.0 +01:00
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                +root: App\Entity\EntryComment {#4913}
                +body: """
                  I think you’re misunderstanding the math a bit here. Let me give an example.\n
                  \n
                  If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                  Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                  But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                  \n
                  The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                  \n
                  Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                  \n
                  The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                  """
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                  "@tdawg@lemmy.world"
                ]
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                  date: 2024-01-07 03:12:04.0 +01:00
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              }
              +root: App\Entity\EntryComment {#4913}
              +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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                "@tdawg@lemmy.world"
                "@Sombyr@lemmy.zip"
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                date: 2024-01-07 08:00:18.0 +01:00
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            }
            +root: App\Entity\EntryComment {#4913}
            +body: """
              If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
              \n
              Countably infinite is when you can pick any number in the set and know what comes next.\n
              \n
              Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
              \n
              The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
              \n
              It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
              It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
              \n
              Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
              """
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              "@Sombyr@lemmy.zip"
              "@PotatoKat@lemmy.world"
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              date: 2024-06-22 15:09:48.0 +02:00
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              date: 2024-01-07 08:21:09.0 +01:00
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          +root: App\Entity\EntryComment {#4913}
          +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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            "@tdawg@lemmy.world"
            "@Sombyr@lemmy.zip"
            "@PotatoKat@lemmy.world"
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          > if you’re talking about physical objects you have to consider material reality\n
          \n
          If you’re considering material reality then you can’t have an infinite amount of it.
          """
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    +body: """
      But the utility is not the issue in the premise.\n
      \n
      “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
      """
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  +root: App\Entity\EntryComment {#4913}
  +body: "If utility isn’t the reason why you’re picking 100s then why would you if they’re the same amount?"
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115 DENIED edit 
App\Entity\EntryComment {#5719
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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                    +body: "They’re both countibly infinite thus the same, no?"
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                  +root: App\Entity\EntryComment {#4913}
                  +body: """
                    To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                    \n
                    For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                    \n
                    So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                    \n
                    You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                    """
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                +root: App\Entity\EntryComment {#4913}
                +body: """
                  I think you’re misunderstanding the math a bit here. Let me give an example.\n
                  \n
                  If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                  Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                  But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                  \n
                  The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                  \n
                  Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                  \n
                  The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                  """
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              +root: App\Entity\EntryComment {#4913}
              +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
              \n
              Countably infinite is when you can pick any number in the set and know what comes next.\n
              \n
              Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
              \n
              The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
              \n
              It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
              It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
              \n
              Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
              """
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          +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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          > if you’re talking about physical objects you have to consider material reality\n
          \n
          If you’re considering material reality then you can’t have an infinite amount of it.
          """
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      But the utility is not the issue in the premise.\n
      \n
      “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
      """
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116 DENIED moderate 
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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                  +body: """
                    To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                    \n
                    For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                    \n
                    So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                    \n
                    You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                    """
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                    date: 2024-01-06 20:42:18.0 +01:00
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                }
                +root: App\Entity\EntryComment {#4913}
                +body: """
                  I think you’re misunderstanding the math a bit here. Let me give an example.\n
                  \n
                  If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                  Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                  But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                  \n
                  The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                  \n
                  Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                  \n
                  The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                  """
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                  "@tdawg@lemmy.world"
                ]
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                  date: 2024-01-07 03:12:04.0 +01:00
                }
              }
              +root: App\Entity\EntryComment {#4913}
              +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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                "@tdawg@lemmy.world"
                "@Sombyr@lemmy.zip"
              ]
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                date: 2024-01-07 08:00:18.0 +01:00
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            }
            +root: App\Entity\EntryComment {#4913}
            +body: """
              If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
              \n
              Countably infinite is when you can pick any number in the set and know what comes next.\n
              \n
              Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
              \n
              The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
              \n
              It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
              It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
              \n
              Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
              """
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              "@tdawg@lemmy.world"
              "@Sombyr@lemmy.zip"
              "@PotatoKat@lemmy.world"
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              date: 2024-06-22 15:09:48.0 +02:00
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              date: 2024-01-07 08:21:09.0 +01:00
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          +root: App\Entity\EntryComment {#4913}
          +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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            date: 2024-01-07 08:55:03.0 +01:00
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        }
        +root: App\Entity\EntryComment {#4913}
        +body: """
          > if you’re talking about physical objects you have to consider material reality\n
          \n
          If you’re considering material reality then you can’t have an infinite amount of it.
          """
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          "@tdawg@lemmy.world"
          "@Sombyr@lemmy.zip"
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        ]
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          date: 2024-01-07 10:41:55.0 +01:00
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      }
      +root: App\Entity\EntryComment {#4913}
      +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      But the utility is not the issue in the premise.\n
      \n
      “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
      """
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  }
  +root: App\Entity\EntryComment {#4913}
  +body: "If utility isn’t the reason why you’re picking 100s then why would you if they’re the same amount?"
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}
 
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        \n
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        \n
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        \n
        \n
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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                      +body: "They’re both countibly infinite thus the same, no?"
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                    +root: App\Entity\EntryComment {#4913}
                    +body: """
                      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                      \n
                      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                      \n
                      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                      \n
                      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                      """
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                  +body: """
                    I think you’re misunderstanding the math a bit here. Let me give an example.\n
                    \n
                    If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                    Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                    But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                    \n
                    The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                    \n
                    Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                    \n
                    The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                    """
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                +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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              +root: App\Entity\EntryComment {#4913}
              +body: """
                If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
                \n
                Countably infinite is when you can pick any number in the set and know what comes next.\n
                \n
                Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
                \n
                The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
                \n
                It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
                It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
                \n
                Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
                """
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            +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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          +body: """
            > if you’re talking about physical objects you have to consider material reality\n
            \n
            If you’re considering material reality then you can’t have an infinite amount of it.
            """
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        +root: App\Entity\EntryComment {#4913}
        +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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      +body: """
        But the utility is not the issue in the premise.\n
        \n
        “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
        """
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    +body: "If utility isn’t the reason why you’re picking 100s then why would you if they’re the same amount?"
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  +root: App\Entity\EntryComment {#4913}
  +body: "Utility is irrelevant to the statement “an infinite number of $1 bills is **worth the same amount** as an infinite number of $100 bills.”"
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119 DENIED edit 
App\Entity\EntryComment {#5741
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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                      +image: null
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                      +root: null
                      +body: "They’re both countibly infinite thus the same, no?"
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                    +root: App\Entity\EntryComment {#4913}
                    +body: """
                      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                      \n
                      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                      \n
                      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                      \n
                      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                      """
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                  +root: App\Entity\EntryComment {#4913}
                  +body: """
                    I think you’re misunderstanding the math a bit here. Let me give an example.\n
                    \n
                    If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                    Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                    But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                    \n
                    The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                    \n
                    Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                    \n
                    The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                    """
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                +root: App\Entity\EntryComment {#4913}
                +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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              +root: App\Entity\EntryComment {#4913}
              +body: """
                If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
                \n
                Countably infinite is when you can pick any number in the set and know what comes next.\n
                \n
                Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
                \n
                The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
                \n
                It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
                It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
                \n
                Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
                """
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                date: 2024-06-22 15:09:48.0 +02:00
              }
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                date: 2024-01-07 08:21:09.0 +01:00
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            }
            +root: App\Entity\EntryComment {#4913}
            +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            > if you’re talking about physical objects you have to consider material reality\n
            \n
            If you’re considering material reality then you can’t have an infinite amount of it.
            """
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        +root: App\Entity\EntryComment {#4913}
        +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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        But the utility is not the issue in the premise.\n
        \n
        “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: "If utility isn’t the reason why you’re picking 100s then why would you if they’re the same amount?"
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
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"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
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"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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Show voter details
120 DENIED moderate 
App\Entity\EntryComment {#5741
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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                    +root: App\Entity\EntryComment {#4913}
                    +body: """
                      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                      \n
                      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                      \n
                      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                      \n
                      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                      """
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                      date: 2024-01-06 20:42:18.0 +01:00
                    }
                  }
                  +root: App\Entity\EntryComment {#4913}
                  +body: """
                    I think you’re misunderstanding the math a bit here. Let me give an example.\n
                    \n
                    If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                    Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                    But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                    \n
                    The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                    \n
                    Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                    \n
                    The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                    """
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                    "@tdawg@lemmy.world"
                  ]
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                    date: 2024-01-07 03:12:04.0 +01:00
                  }
                }
                +root: App\Entity\EntryComment {#4913}
                +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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                  "@tdawg@lemmy.world"
                  "@Sombyr@lemmy.zip"
                ]
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                  date: 2024-01-07 08:00:18.0 +01:00
                }
              }
              +root: App\Entity\EntryComment {#4913}
              +body: """
                If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
                \n
                Countably infinite is when you can pick any number in the set and know what comes next.\n
                \n
                Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
                \n
                The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
                \n
                It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
                It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
                \n
                Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
                """
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                "@tdawg@lemmy.world"
                "@Sombyr@lemmy.zip"
                "@PotatoKat@lemmy.world"
              ]
              +children: Doctrine\ORM\PersistentCollection {#5463 …}
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              +ranking: 0
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                date: 2024-06-22 15:09:48.0 +02:00
              }
              +createdAt: DateTimeImmutable @1704612069 {#5461
                date: 2024-01-07 08:21:09.0 +01:00
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            }
            +root: App\Entity\EntryComment {#4913}
            +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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              "@tdawg@lemmy.world"
              "@Sombyr@lemmy.zip"
              "@PotatoKat@lemmy.world"
            ]
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              date: 2024-01-07 08:55:03.0 +01:00
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          }
          +root: App\Entity\EntryComment {#4913}
          +body: """
            > if you’re talking about physical objects you have to consider material reality\n
            \n
            If you’re considering material reality then you can’t have an infinite amount of it.
            """
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            "@tdawg@lemmy.world"
            "@Sombyr@lemmy.zip"
            "@PotatoKat@lemmy.world"
          ]
          +children: Doctrine\ORM\PersistentCollection {#5570 …}
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          -id: 288262
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            date: 2024-01-07 10:41:55.0 +01:00
          }
        }
        +root: App\Entity\EntryComment {#4913}
        +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
        +lang: "en"
        +isAdult: false
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          date: 2024-01-08 00:35:20.0 +01:00
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          "@tdawg@lemmy.world"
          "@Sombyr@lemmy.zip"
          "@PotatoKat@lemmy.world"
          "@CileTheSane@lemmy.ca"
        ]
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        -id: 289892
        -bodyTs: "'100s':21 'anyth':14 'bring':23 'concess':4 'could':18 'infinit':13 'obvious':9 'premis':7 'util':25 'would':22"
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          date: 2024-01-08 00:35:20.0 +01:00
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      }
      +root: App\Entity\EntryComment {#4913}
      +body: """
        But the utility is not the issue in the premise.\n
        \n
        “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
        """
      +lang: "en"
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        "@CileTheSane@lemmy.ca"
      ]
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        date: 2024-01-08 01:50:26.0 +01:00
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    }
    +root: App\Entity\EntryComment {#4913}
    +body: "If utility isn’t the reason why you’re picking 100s then why would you if they’re the same amount?"
    +lang: "en"
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      date: 2024-01-08 04:24:41.0 +01:00
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  }
  +root: App\Entity\EntryComment {#4913}
  +body: "Utility is irrelevant to the statement “an infinite number of $1 bills is **worth the same amount** as an infinite number of $100 bills.”"
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
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"App\Security\Voter\EntryCommentVoter"
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"App\Security\Voter\EntryVoter"
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121 DENIED ROLE_USER 
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122 DENIED moderate 
App\Entity\EntryComment {#5763
  +user: Proxies\__CG__\App\Entity\User {#5390 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
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      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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                        +body: "They’re both countibly infinite thus the same, no?"
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                      +body: """
                        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                        \n
                        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                        \n
                        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                        \n
                        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                        """
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                    +body: """
                      I think you’re misunderstanding the math a bit here. Let me give an example.\n
                      \n
                      If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                      Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                      But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                      \n
                      The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                      \n
                      Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                      \n
                      The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                      """
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                  +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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                +body: """
                  If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
                  \n
                  Countably infinite is when you can pick any number in the set and know what comes next.\n
                  \n
                  Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
                  \n
                  The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
                  \n
                  It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
                  It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
                  \n
                  Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
                  """
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              +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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              > if you’re talking about physical objects you have to consider material reality\n
              \n
              If you’re considering material reality then you can’t have an infinite amount of it.
              """
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          +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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            date: 2024-01-08 00:35:20.0 +01:00
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          But the utility is not the issue in the premise.\n
          \n
          “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
          """
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          date: 2024-01-08 01:50:26.0 +01:00
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      +root: App\Entity\EntryComment {#4913}
      +body: "If utility isn’t the reason why you’re picking 100s then why would you if they’re the same amount?"
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    +root: App\Entity\EntryComment {#4913}
    +body: "Utility is irrelevant to the statement “an infinite number of $1 bills is **worth the same amount** as an infinite number of $100 bills.”"
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    What is worth? Would you rather have 500 1s or 5 100s? You already said you’d take the 100s, why? I would take the 100s because I personally value the convenience of 100s more than the 1s, so to me, a single 100 is worth more than 100 1s. Worth doesn’t need to imply the monetary value of the money.\n
    \n
    The convenience/utility makes the 100s worth more even if they’re both valued the same
    """
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123 DENIED edit 
App\Entity\EntryComment {#5763
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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                        +image: null
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                        +root: null
                        +body: "They’re both countibly infinite thus the same, no?"
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                          date: 2024-01-06 18:59:10.0 +01:00
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                      +root: App\Entity\EntryComment {#4913}
                      +body: """
                        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                        \n
                        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                        \n
                        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                        \n
                        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                        """
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                        "@tdawg@lemmy.world"
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                      +ranking: 0
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                        date: 2024-01-06 20:42:18.0 +01:00
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                    }
                    +root: App\Entity\EntryComment {#4913}
                    +body: """
                      I think you’re misunderstanding the math a bit here. Let me give an example.\n
                      \n
                      If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                      Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                      But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                      \n
                      The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                      \n
                      Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                      \n
                      The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                      """
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                      date: 2024-01-07 03:12:04.0 +01:00
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                  }
                  +root: App\Entity\EntryComment {#4913}
                  +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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                    date: 2024-01-07 08:00:18.0 +01:00
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                +root: App\Entity\EntryComment {#4913}
                +body: """
                  If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
                  \n
                  Countably infinite is when you can pick any number in the set and know what comes next.\n
                  \n
                  Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
                  \n
                  The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
                  \n
                  It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
                  It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
                  \n
                  Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
                  """
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              +root: App\Entity\EntryComment {#4913}
              +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              > if you’re talking about physical objects you have to consider material reality\n
              \n
              If you’re considering material reality then you can’t have an infinite amount of it.
              """
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          +root: App\Entity\EntryComment {#4913}
          +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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        +body: """
          But the utility is not the issue in the premise.\n
          \n
          “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
          """
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      +root: App\Entity\EntryComment {#4913}
      +body: "If utility isn’t the reason why you’re picking 100s then why would you if they’re the same amount?"
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  +body: """
    What is worth? Would you rather have 500 1s or 5 100s? You already said you’d take the 100s, why? I would take the 100s because I personally value the convenience of 100s more than the 1s, so to me, a single 100 is worth more than 100 1s. Worth doesn’t need to imply the monetary value of the money.\n
    \n
    The convenience/utility makes the 100s worth more even if they’re both valued the same
    """
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124 DENIED moderate 
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        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        4. No botsNo bots without the express approval of the mods or the admins\n
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        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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                        +root: null
                        +body: "They’re both countibly infinite thus the same, no?"
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                          date: 2024-01-06 18:59:10.0 +01:00
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                      +root: App\Entity\EntryComment {#4913}
                      +body: """
                        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                        \n
                        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                        \n
                        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                        \n
                        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                        """
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                    +root: App\Entity\EntryComment {#4913}
                    +body: """
                      I think you’re misunderstanding the math a bit here. Let me give an example.\n
                      \n
                      If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                      Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                      But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                      \n
                      The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                      \n
                      Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                      \n
                      The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                      """
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                  +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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                +root: App\Entity\EntryComment {#4913}
                +body: """
                  If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
                  \n
                  Countably infinite is when you can pick any number in the set and know what comes next.\n
                  \n
                  Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
                  \n
                  The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
                  \n
                  It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
                  It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
                  \n
                  Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
                  """
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              +root: App\Entity\EntryComment {#4913}
              +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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            +body: """
              > if you’re talking about physical objects you have to consider material reality\n
              \n
              If you’re considering material reality then you can’t have an infinite amount of it.
              """
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          +root: App\Entity\EntryComment {#4913}
          +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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        +body: """
          But the utility is not the issue in the premise.\n
          \n
          “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
          """
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      +root: App\Entity\EntryComment {#4913}
      +body: "If utility isn’t the reason why you’re picking 100s then why would you if they’re the same amount?"
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        date: 2024-01-08 04:24:41.0 +01:00
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    +root: App\Entity\EntryComment {#4913}
    +body: "Utility is irrelevant to the statement “an infinite number of $1 bills is **worth the same amount** as an infinite number of $100 bills.”"
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    What is worth? Would you rather have 500 1s or 5 100s? You already said you’d take the 100s, why? I would take the 100s because I personally value the convenience of 100s more than the 1s, so to me, a single 100 is worth more than 100 1s. Worth doesn’t need to imply the monetary value of the money.\n
    \n
    The convenience/utility makes the 100s worth more even if they’re both valued the same
    """
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}
 
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App\Entity\EntryComment {#5786
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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                          +entry: App\Entity\Entry {#2412}
                          +magazine: App\Entity\Magazine {#266}
                          +image: null
                          +parent: null
                          +root: null
                          +body: "They’re both countibly infinite thus the same, no?"
                          +lang: "en"
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                            "@balderdash9@lemmy.zip"
                          ]
                          +children: Doctrine\ORM\PersistentCollection {#4914 …}
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                          -id: 286150
                          -bodyTs: "'countibl':4 'infinit':5 're':2 'thus':6"
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                          +apId: "https://lemmy.world/comment/6458462"
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                            date: 2024-01-06 18:59:10.0 +01:00
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                        }
                        +root: App\Entity\EntryComment {#4913}
                        +body: """
                          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                          \n
                          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                          \n
                          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                          \n
                          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                          """
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                          "@tdawg@lemmy.world"
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                        +ranking: 0
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                          date: 2024-01-06 20:42:18.0 +01:00
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                      }
                      +root: App\Entity\EntryComment {#4913}
                      +body: """
                        I think you’re misunderstanding the math a bit here. Let me give an example.\n
                        \n
                        If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                        Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                        But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                        \n
                        The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                        \n
                        Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                        \n
                        The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                        """
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                        "@tdawg@lemmy.world"
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                        date: 2024-01-07 03:12:04.0 +01:00
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                    +root: App\Entity\EntryComment {#4913}
                    +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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                      "@tdawg@lemmy.world"
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                  +root: App\Entity\EntryComment {#4913}
                  +body: """
                    If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
                    \n
                    Countably infinite is when you can pick any number in the set and know what comes next.\n
                    \n
                    Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
                    \n
                    The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
                    \n
                    It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
                    It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
                    \n
                    Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
                    """
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                +root: App\Entity\EntryComment {#4913}
                +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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              +body: """
                > if you’re talking about physical objects you have to consider material reality\n
                \n
                If you’re considering material reality then you can’t have an infinite amount of it.
                """
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            +root: App\Entity\EntryComment {#4913}
            +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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            But the utility is not the issue in the premise.\n
            \n
            “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
            """
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      +root: App\Entity\EntryComment {#4913}
      +body: "Utility is irrelevant to the statement “an infinite number of $1 bills is **worth the same amount** as an infinite number of $100 bills.”"
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    +body: """
      What is worth? Would you rather have 500 1s or 5 100s? You already said you’d take the 100s, why? I would take the 100s because I personally value the convenience of 100s more than the 1s, so to me, a single 100 is worth more than 100 1s. Worth doesn’t need to imply the monetary value of the money.\n
      \n
      The convenience/utility makes the 100s worth more even if they’re both valued the same
      """
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  +body: """
    > What is worth?\n
    \n
    Dollar value.\n
    \n
    > Would you rather have 500 1s or 5 100s?\n
    \n
    Don’t care. They both get deposited at my bank the same.\n
    \n
    > You already said you’d take the 100s, why?\n
    \n
    An acknowledgement to the point you were making that was a digression from the discussion at hand. My mistake apparently.\n
    \n
    > I would take the 100s because I personally value the convenience of 100s more than the 1s, so to me, a single 100 is worth more than 100 1s.\n
    \n
    I personally would not accept a Genie wish for either as the mass would create a black hole that would destroy the universe. There is no “practical consideration” when dealing with infinities. Knowing how to work with infinities is useful for complex mathematics, but there is no real world application until you simplify away the infinities.\n
    \n
    > Worth doesn’t need to imply the monetary value of the money.\n
    \n
    It very much does imply the monetary value of the money. It *can* mean other things if you want to define it as such, but you need to before hand in such a case. It was not defined differently by OP.
    """
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"App\Security\Voter\MessageVoter"
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
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 ACCESS ABSTAIN
Show voter details
127 DENIED edit 
App\Entity\EntryComment {#5786
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +image: null
    +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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                          +body: "They’re both countibly infinite thus the same, no?"
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                        +root: App\Entity\EntryComment {#4913}
                        +body: """
                          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                          \n
                          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                          \n
                          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                          \n
                          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                          """
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                      +root: App\Entity\EntryComment {#4913}
                      +body: """
                        I think you’re misunderstanding the math a bit here. Let me give an example.\n
                        \n
                        If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                        Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                        But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                        \n
                        The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                        \n
                        Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                        \n
                        The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                        """
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                    +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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                  +body: """
                    If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
                    \n
                    Countably infinite is when you can pick any number in the set and know what comes next.\n
                    \n
                    Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
                    \n
                    The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
                    \n
                    It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
                    It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
                    \n
                    Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
                    """
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                +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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              +body: """
                > if you’re talking about physical objects you have to consider material reality\n
                \n
                If you’re considering material reality then you can’t have an infinite amount of it.
                """
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            +root: App\Entity\EntryComment {#4913}
            +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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          +body: """
            But the utility is not the issue in the premise.\n
            \n
            “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
            """
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            date: 2024-01-08 01:50:26.0 +01:00
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    +body: """
      What is worth? Would you rather have 500 1s or 5 100s? You already said you’d take the 100s, why? I would take the 100s because I personally value the convenience of 100s more than the 1s, so to me, a single 100 is worth more than 100 1s. Worth doesn’t need to imply the monetary value of the money.\n
      \n
      The convenience/utility makes the 100s worth more even if they’re both valued the same
      """
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  +body: """
    > What is worth?\n
    \n
    Dollar value.\n
    \n
    > Would you rather have 500 1s or 5 100s?\n
    \n
    Don’t care. They both get deposited at my bank the same.\n
    \n
    > You already said you’d take the 100s, why?\n
    \n
    An acknowledgement to the point you were making that was a digression from the discussion at hand. My mistake apparently.\n
    \n
    > I would take the 100s because I personally value the convenience of 100s more than the 1s, so to me, a single 100 is worth more than 100 1s.\n
    \n
    I personally would not accept a Genie wish for either as the mass would create a black hole that would destroy the universe. There is no “practical consideration” when dealing with infinities. Knowing how to work with infinities is useful for complex mathematics, but there is no real world application until you simplify away the infinities.\n
    \n
    > Worth doesn’t need to imply the monetary value of the money.\n
    \n
    It very much does imply the monetary value of the money. It *can* mean other things if you want to define it as such, but you need to before hand in such a case. It was not defined differently by OP.
    """
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128 DENIED moderate 
App\Entity\EntryComment {#5786
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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                          +image: null
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                          +root: null
                          +body: "They’re both countibly infinite thus the same, no?"
                          +lang: "en"
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                          -id: 286150
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                        +root: App\Entity\EntryComment {#4913}
                        +body: """
                          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                          \n
                          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                          \n
                          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                          \n
                          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                          """
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                      +root: App\Entity\EntryComment {#4913}
                      +body: """
                        I think you’re misunderstanding the math a bit here. Let me give an example.\n
                        \n
                        If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                        Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                        But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                        \n
                        The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                        \n
                        Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                        \n
                        The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                        """
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                        date: 2024-01-07 03:12:04.0 +01:00
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                    +root: App\Entity\EntryComment {#4913}
                    +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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                  +root: App\Entity\EntryComment {#4913}
                  +body: """
                    If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
                    \n
                    Countably infinite is when you can pick any number in the set and know what comes next.\n
                    \n
                    Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
                    \n
                    The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
                    \n
                    It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
                    It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
                    \n
                    Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
                    """
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                +root: App\Entity\EntryComment {#4913}
                +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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              +root: App\Entity\EntryComment {#4913}
              +body: """
                > if you’re talking about physical objects you have to consider material reality\n
                \n
                If you’re considering material reality then you can’t have an infinite amount of it.
                """
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            +root: App\Entity\EntryComment {#4913}
            +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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              date: 2024-01-08 00:35:20.0 +01:00
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          +body: """
            But the utility is not the issue in the premise.\n
            \n
            “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
            """
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        +body: "If utility isn’t the reason why you’re picking 100s then why would you if they’re the same amount?"
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      +root: App\Entity\EntryComment {#4913}
      +body: "Utility is irrelevant to the statement “an infinite number of $1 bills is **worth the same amount** as an infinite number of $100 bills.”"
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      What is worth? Would you rather have 500 1s or 5 100s? You already said you’d take the 100s, why? I would take the 100s because I personally value the convenience of 100s more than the 1s, so to me, a single 100 is worth more than 100 1s. Worth doesn’t need to imply the monetary value of the money.\n
      \n
      The convenience/utility makes the 100s worth more even if they’re both valued the same
      """
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    > What is worth?\n
    \n
    Dollar value.\n
    \n
    > Would you rather have 500 1s or 5 100s?\n
    \n
    Don’t care. They both get deposited at my bank the same.\n
    \n
    > You already said you’d take the 100s, why?\n
    \n
    An acknowledgement to the point you were making that was a digression from the discussion at hand. My mistake apparently.\n
    \n
    > I would take the 100s because I personally value the convenience of 100s more than the 1s, so to me, a single 100 is worth more than 100 1s.\n
    \n
    I personally would not accept a Genie wish for either as the mass would create a black hole that would destroy the universe. There is no “practical consideration” when dealing with infinities. Knowing how to work with infinities is useful for complex mathematics, but there is no real world application until you simplify away the infinities.\n
    \n
    > Worth doesn’t need to imply the monetary value of the money.\n
    \n
    It very much does imply the monetary value of the money. It *can* mean other things if you want to define it as such, but you need to before hand in such a case. It was not defined differently by OP.
    """
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}
 
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"App\Security\Voter\MessageThreadVoter"
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"App\Security\Voter\MessageVoter"
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"App\Security\Voter\NotificationVoter"
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"App\Security\Voter\UserVoter"
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Show voter details
129 DENIED ROLE_USER 
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130 DENIED moderate 
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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                        +body: "They’re both countibly infinite thus the same, no?"
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                      +body: """
                        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                        \n
                        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                        \n
                        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                        \n
                        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                        """
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                    +body: """
                      I think you’re misunderstanding the math a bit here. Let me give an example.\n
                      \n
                      If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                      Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                      But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                      \n
                      The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                      \n
                      Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                      \n
                      The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                      """
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                  +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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                +root: App\Entity\EntryComment {#4913}
                +body: """
                  If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
                  \n
                  Countably infinite is when you can pick any number in the set and know what comes next.\n
                  \n
                  Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
                  \n
                  The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
                  \n
                  It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
                  It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
                  \n
                  Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
                  """
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              +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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                date: 2024-01-07 08:55:03.0 +01:00
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              > if you’re talking about physical objects you have to consider material reality\n
              \n
              If you’re considering material reality then you can’t have an infinite amount of it.
              """
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          +root: App\Entity\EntryComment {#4913}
          +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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        +body: """
          But the utility is not the issue in the premise.\n
          \n
          “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
          """
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      +body: "If utility isn’t the reason why you’re picking 100s then why would you if they’re the same amount?"
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    +body: "Utility is irrelevant to the statement “an infinite number of $1 bills is **worth the same amount** as an infinite number of $100 bills.”"
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  +body: "Also you never said why you’d pick the 100s."
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131 DENIED edit 
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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                        +body: "They’re both countibly infinite thus the same, no?"
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                      +root: App\Entity\EntryComment {#4913}
                      +body: """
                        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                        \n
                        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                        \n
                        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                        \n
                        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                        """
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                    +root: App\Entity\EntryComment {#4913}
                    +body: """
                      I think you’re misunderstanding the math a bit here. Let me give an example.\n
                      \n
                      If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                      Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                      But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                      \n
                      The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                      \n
                      Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                      \n
                      The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                      """
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                      date: 2024-01-07 03:12:04.0 +01:00
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                  +root: App\Entity\EntryComment {#4913}
                  +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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                    date: 2024-01-07 08:00:18.0 +01:00
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                +root: App\Entity\EntryComment {#4913}
                +body: """
                  If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
                  \n
                  Countably infinite is when you can pick any number in the set and know what comes next.\n
                  \n
                  Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
                  \n
                  The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
                  \n
                  It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
                  It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
                  \n
                  Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
                  """
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              +root: App\Entity\EntryComment {#4913}
              +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              > if you’re talking about physical objects you have to consider material reality\n
              \n
              If you’re considering material reality then you can’t have an infinite amount of it.
              """
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          +root: App\Entity\EntryComment {#4913}
          +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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        +body: """
          But the utility is not the issue in the premise.\n
          \n
          “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
          """
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  +body: "Also you never said why you’d pick the 100s."
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132 DENIED moderate 
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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                        +body: "They’re both countibly infinite thus the same, no?"
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                      +body: """
                        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                        \n
                        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                        \n
                        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                        \n
                        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                        """
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                    +body: """
                      I think you’re misunderstanding the math a bit here. Let me give an example.\n
                      \n
                      If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                      Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                      But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                      \n
                      The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                      \n
                      Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                      \n
                      The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                      """
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                  +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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                +body: """
                  If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
                  \n
                  Countably infinite is when you can pick any number in the set and know what comes next.\n
                  \n
                  Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
                  \n
                  The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
                  \n
                  It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
                  It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
                  \n
                  Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
                  """
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              +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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              > if you’re talking about physical objects you have to consider material reality\n
              \n
              If you’re considering material reality then you can’t have an infinite amount of it.
              """
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          +root: App\Entity\EntryComment {#4913}
          +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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        +body: """
          But the utility is not the issue in the premise.\n
          \n
          “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
          """
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      +root: App\Entity\EntryComment {#4913}
      +body: "If utility isn’t the reason why you’re picking 100s then why would you if they’re the same amount?"
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    +root: App\Entity\EntryComment {#4913}
    +body: "Utility is irrelevant to the statement “an infinite number of $1 bills is **worth the same amount** as an infinite number of $100 bills.”"
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  +body: "Also you never said why you’d pick the 100s."
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134 DENIED moderate 
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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                          +magazine: App\Entity\Magazine {#266}
                          +image: null
                          +parent: null
                          +root: null
                          +body: "They’re both countibly infinite thus the same, no?"
                          +lang: "en"
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                          -id: 286150
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                            date: 2024-01-06 18:59:10.0 +01:00
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                        +root: App\Entity\EntryComment {#4913}
                        +body: """
                          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                          \n
                          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                          \n
                          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                          \n
                          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                          """
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                      +root: App\Entity\EntryComment {#4913}
                      +body: """
                        I think you’re misunderstanding the math a bit here. Let me give an example.\n
                        \n
                        If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                        Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                        But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                        \n
                        The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                        \n
                        Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                        \n
                        The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                        """
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                    +root: App\Entity\EntryComment {#4913}
                    +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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                      date: 2024-01-07 08:00:18.0 +01:00
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                  }
                  +root: App\Entity\EntryComment {#4913}
                  +body: """
                    If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
                    \n
                    Countably infinite is when you can pick any number in the set and know what comes next.\n
                    \n
                    Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
                    \n
                    The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
                    \n
                    It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
                    It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
                    \n
                    Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
                    """
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                +root: App\Entity\EntryComment {#4913}
                +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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              +root: App\Entity\EntryComment {#4913}
              +body: """
                > if you’re talking about physical objects you have to consider material reality\n
                \n
                If you’re considering material reality then you can’t have an infinite amount of it.
                """
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            +root: App\Entity\EntryComment {#4913}
            +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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          +body: """
            But the utility is not the issue in the premise.\n
            \n
            “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
            """
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        +body: "If utility isn’t the reason why you’re picking 100s then why would you if they’re the same amount?"
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      +body: "Utility is irrelevant to the statement “an infinite number of $1 bills is **worth the same amount** as an infinite number of $100 bills.”"
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    +body: "Also you never said why you’d pick the 100s."
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    I see I made a mistake by acknowledging your argument, and trying to indicate my understanding there of, before trying to get back to the point at hand that an infinite number of $1 bills is **worth the same amount** as an infinite number of $100 bills.\n
    \n
    I won’t make the same mistake again.
    """
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Show voter details
135 DENIED edit 
App\Entity\EntryComment {#5809
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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                          +root: null
                          +body: "They’re both countibly infinite thus the same, no?"
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                            date: 2024-01-06 18:59:10.0 +01:00
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                        +root: App\Entity\EntryComment {#4913}
                        +body: """
                          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                          \n
                          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                          \n
                          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                          \n
                          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                          """
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                      +root: App\Entity\EntryComment {#4913}
                      +body: """
                        I think you’re misunderstanding the math a bit here. Let me give an example.\n
                        \n
                        If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                        Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                        But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                        \n
                        The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                        \n
                        Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                        \n
                        The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                        """
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                    +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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                  +root: App\Entity\EntryComment {#4913}
                  +body: """
                    If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
                    \n
                    Countably infinite is when you can pick any number in the set and know what comes next.\n
                    \n
                    Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
                    \n
                    The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
                    \n
                    It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
                    It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
                    \n
                    Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
                    """
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                +root: App\Entity\EntryComment {#4913}
                +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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              +body: """
                > if you’re talking about physical objects you have to consider material reality\n
                \n
                If you’re considering material reality then you can’t have an infinite amount of it.
                """
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            +root: App\Entity\EntryComment {#4913}
            +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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          +body: """
            But the utility is not the issue in the premise.\n
            \n
            “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
            """
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        +body: "If utility isn’t the reason why you’re picking 100s then why would you if they’re the same amount?"
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      +body: "Utility is irrelevant to the statement “an infinite number of $1 bills is **worth the same amount** as an infinite number of $100 bills.”"
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    +body: "Also you never said why you’d pick the 100s."
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    I see I made a mistake by acknowledging your argument, and trying to indicate my understanding there of, before trying to get back to the point at hand that an infinite number of $1 bills is **worth the same amount** as an infinite number of $100 bills.\n
    \n
    I won’t make the same mistake again.
    """
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136 DENIED moderate 
App\Entity\EntryComment {#5809
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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                          +magazine: App\Entity\Magazine {#266}
                          +image: null
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                          +root: null
                          +body: "They’re both countibly infinite thus the same, no?"
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                          -id: 286150
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                        +root: App\Entity\EntryComment {#4913}
                        +body: """
                          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                          \n
                          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                          \n
                          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                          \n
                          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                          """
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                      +root: App\Entity\EntryComment {#4913}
                      +body: """
                        I think you’re misunderstanding the math a bit here. Let me give an example.\n
                        \n
                        If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
                        Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
                        But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
                        \n
                        The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
                        \n
                        Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
                        \n
                        The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
                        """
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                    +root: App\Entity\EntryComment {#4913}
                    +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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                  +root: App\Entity\EntryComment {#4913}
                  +body: """
                    If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
                    \n
                    Countably infinite is when you can pick any number in the set and know what comes next.\n
                    \n
                    Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
                    \n
                    The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
                    \n
                    It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
                    It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
                    \n
                    Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
                    """
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                +root: App\Entity\EntryComment {#4913}
                +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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              +root: App\Entity\EntryComment {#4913}
              +body: """
                > if you’re talking about physical objects you have to consider material reality\n
                \n
                If you’re considering material reality then you can’t have an infinite amount of it.
                """
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            +root: App\Entity\EntryComment {#4913}
            +body: "That’s a concession of the premise, you obviously can’t have infinite anything, but if you *could* then the 100s would bring more utility"
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          +body: """
            But the utility is not the issue in the premise.\n
            \n
            “Would you rather have an infinite number of $1 or $100 bills?” Obviously $100 bills, but they are worth the same amount.
            """
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        +body: "If utility isn’t the reason why you’re picking 100s then why would you if they’re the same amount?"
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    +body: "Also you never said why you’d pick the 100s."
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    I see I made a mistake by acknowledging your argument, and trying to indicate my understanding there of, before trying to get back to the point at hand that an infinite number of $1 bills is **worth the same amount** as an infinite number of $100 bills.\n
    \n
    I won’t make the same mistake again.
    """
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        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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              +body: "They’re both countibly infinite thus the same, no?"
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                date: 2024-01-06 18:59:10.0 +01:00
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
              \n
              For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
              \n
              So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
              \n
              You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
              """
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            I think you’re misunderstanding the math a bit here. Let me give an example.\n
            \n
            If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
            Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
            But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
            \n
            The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
            \n
            Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
            \n
            The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
            """
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        +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
        \n
        Countably infinite is when you can pick any number in the set and know what comes next.\n
        \n
        Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
        \n
        The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
        \n
        It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
        It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
        \n
        Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
        """
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    +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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  +body: "Nah. We’re taking the singles and hitting up the strip club boiii."
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139 DENIED edit 
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        Sister communities\n
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        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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              +body: "They’re both countibly infinite thus the same, no?"
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                date: 2024-01-06 18:59:10.0 +01:00
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
              \n
              For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
              \n
              So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
              \n
              You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
              """
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            I think you’re misunderstanding the math a bit here. Let me give an example.\n
            \n
            If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
            Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
            But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
            \n
            The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
            \n
            Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
            \n
            The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
            """
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        +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
        \n
        Countably infinite is when you can pick any number in the set and know what comes next.\n
        \n
        Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
        \n
        The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
        \n
        It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
        It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
        \n
        Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
        """
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    +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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  +body: "Nah. We’re taking the singles and hitting up the strip club boiii."
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140 DENIED moderate 
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        Community rules\n
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        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
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        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        4. No botsNo bots without the express approval of the mods or the admins\n
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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              +body: "They’re both countibly infinite thus the same, no?"
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                date: 2024-01-06 18:59:10.0 +01:00
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
              \n
              For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
              \n
              So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
              \n
              You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
              """
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            I think you’re misunderstanding the math a bit here. Let me give an example.\n
            \n
            If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
            Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
            But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
            \n
            The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
            \n
            Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
            \n
            The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
            """
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            date: 2024-01-07 03:12:04.0 +01:00
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        +root: App\Entity\EntryComment {#4913}
        +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
        \n
        Countably infinite is when you can pick any number in the set and know what comes next.\n
        \n
        Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
        \n
        The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
        \n
        It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
        It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
        \n
        Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
        """
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    +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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  +body: "Nah. We’re taking the singles and hitting up the strip club boiii."
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142 DENIED moderate 
App\Entity\EntryComment {#5669
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        4. No botsNo bots without the express approval of the mods or the admins\n
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        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
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                +body: "They’re both countibly infinite thus the same, no?"
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                  date: 2024-01-06 18:59:10.0 +01:00
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              +root: App\Entity\EntryComment {#4913}
              +body: """
                To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                \n
                For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                \n
                So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                \n
                You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                """
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              I think you’re misunderstanding the math a bit here. Let me give an example.\n
              \n
              If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
              Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
              But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
              \n
              The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
              \n
              Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
              \n
              The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
              """
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              date: 2024-01-07 03:12:04.0 +01:00
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          +root: App\Entity\EntryComment {#4913}
          +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
          \n
          Countably infinite is when you can pick any number in the set and know what comes next.\n
          \n
          Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
          \n
          The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
          \n
          It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
          It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
          \n
          Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
          """
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      +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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    +body: "Nah. We’re taking the singles and hitting up the strip club boiii."
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  +body: "Only valid retort"
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143 DENIED edit 
App\Entity\EntryComment {#5669
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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                +body: "They’re both countibly infinite thus the same, no?"
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              +body: """
                To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                \n
                For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                \n
                So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                \n
                You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                """
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            +body: """
              I think you’re misunderstanding the math a bit here. Let me give an example.\n
              \n
              If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
              Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
              But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
              \n
              The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
              \n
              Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
              \n
              The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
              """
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          +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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        +body: """
          If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
          \n
          Countably infinite is when you can pick any number in the set and know what comes next.\n
          \n
          Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
          \n
          The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
          \n
          It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
          It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
          \n
          Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
          """
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      +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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    +body: "Nah. We’re taking the singles and hitting up the strip club boiii."
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  +body: "Only valid retort"
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Show voter details
144 DENIED moderate 
App\Entity\EntryComment {#5669
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      +title: "memes"
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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                +root: null
                +body: "They’re both countibly infinite thus the same, no?"
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                  date: 2024-01-06 18:59:10.0 +01:00
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              +root: App\Entity\EntryComment {#4913}
              +body: """
                To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                \n
                For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                \n
                So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                \n
                You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                """
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                date: 2024-01-06 20:42:18.0 +01:00
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              I think you’re misunderstanding the math a bit here. Let me give an example.\n
              \n
              If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
              Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
              But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
              \n
              The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
              \n
              Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
              \n
              The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
              """
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              "@tdawg@lemmy.world"
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              date: 2024-01-07 03:12:04.0 +01:00
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          }
          +root: App\Entity\EntryComment {#4913}
          +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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            date: 2024-01-07 08:00:18.0 +01:00
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
          \n
          Countably infinite is when you can pick any number in the set and know what comes next.\n
          \n
          Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
          \n
          The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
          \n
          It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
          It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
          \n
          Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
          """
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          "@Sombyr@lemmy.zip"
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      +root: App\Entity\EntryComment {#4913}
      +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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    +root: App\Entity\EntryComment {#4913}
    +body: "Nah. We’re taking the singles and hitting up the strip club boiii."
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  +body: "Only valid retort"
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
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145 DENIED ROLE_USER 
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146 DENIED moderate 
App\Entity\EntryComment {#5600
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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              +image: null
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              +root: null
              +body: "They’re both countibly infinite thus the same, no?"
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                date: 2024-01-06 18:59:10.0 +01:00
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            }
            +root: App\Entity\EntryComment {#4913}
            +body: """
              To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
              \n
              For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
              \n
              So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
              \n
              You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
              """
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              "@balderdash9@lemmy.zip"
              "@tdawg@lemmy.world"
            ]
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            -id: 286459
            -bodyTs: "'1':95,110,123,162 '100':103,117,129,167,171 'ad':119 'add':107 'also':69 'anoth':116 'bill':96,104,111,118,124,130,138,163,168,172 'cardin':10,146 'correspond':20,128 'count':42,59 'dinner':34 'equal':83 'establish':2,14 'everytim':60 'exampl':28 'fork':46,64 'guest':55 'infinit':141 'infinitum':120 'instead':57 'larg':33 'larger':9 'let':90,105 'like':148 'll':51,98 'm':154 'make':155 'mani':161 'match':76,99,113 'member':23 'must':80 'need':52 'number':84,87,136 'one':4,17,19,94,102 'one-to-on':16 'parti':35 'place':62,70 'point':152 'second':109 'see':150 'set':5,26,142 'spoon':48,72 'start':92 'tabl':67 'tri':12 'two':78,140 'want':40 'whatev':85 'whether':3 'worth':174"
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            I think you’re misunderstanding the math a bit here. Let me give an example.\n
            \n
            If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
            Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
            But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
            \n
            The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
            \n
            Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
            \n
            The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
            """
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            "@tdawg@lemmy.world"
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        }
        +root: App\Entity\EntryComment {#4913}
        +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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          "@tdawg@lemmy.world"
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
        \n
        Countably infinite is when you can pick any number in the set and know what comes next.\n
        \n
        Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
        \n
        The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
        \n
        It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
        It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
        \n
        Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
        """
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        "@balderdash9@lemmy.zip"
        "@tdawg@lemmy.world"
        "@Sombyr@lemmy.zip"
        "@PotatoKat@lemmy.world"
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    +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    I agree. I’m just being a math nerd.\n
    \n
    I was actually discussing this with my wife earlier and her position is that the 1 dollar bills are better because it’s tough to find somebody who’ll split a 100, and 100s don’t work in vending machines.\n
    \n
    I thought the hundreds would be better because you could just deposit them in the bank and use your card, and banks often have limits on how many individual bills you can deposit at once, so hundreds are way better for that.
    """
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147 DENIED edit 
App\Entity\EntryComment {#5600
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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              +body: "They’re both countibly infinite thus the same, no?"
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
              \n
              For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
              \n
              So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
              \n
              You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
              """
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            I think you’re misunderstanding the math a bit here. Let me give an example.\n
            \n
            If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
            Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
            But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
            \n
            The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
            \n
            Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
            \n
            The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
            """
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        }
        +root: App\Entity\EntryComment {#4913}
        +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
        \n
        Countably infinite is when you can pick any number in the set and know what comes next.\n
        \n
        Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
        \n
        The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
        \n
        It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
        It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
        \n
        Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    I agree. I’m just being a math nerd.\n
    \n
    I was actually discussing this with my wife earlier and her position is that the 1 dollar bills are better because it’s tough to find somebody who’ll split a 100, and 100s don’t work in vending machines.\n
    \n
    I thought the hundreds would be better because you could just deposit them in the bank and use your card, and banks often have limits on how many individual bills you can deposit at once, so hundreds are way better for that.
    """
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
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Show voter details
148 DENIED moderate 
App\Entity\EntryComment {#5600
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      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +title: "EDIT: I THINK I STAND CORRECTED"
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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              +body: "They’re both countibly infinite thus the same, no?"
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            +root: App\Entity\EntryComment {#4913}
            +body: """
              To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
              \n
              For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
              \n
              So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
              \n
              You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
              """
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            I think you’re misunderstanding the math a bit here. Let me give an example.\n
            \n
            If you took a list of all the natural numbers, and a list off all multiples of 100, then you’ll find they have a 1 to 1 correspondence.  \n
            Now you might think “Ok, that means if we add up all the multiples of 100, we’ll have a bigger infinity than if we add up all the natural numbers. See, because when we add 1 for natural numbers, we add 100 in the list of multiples of 100. The same goes for 2 and 200, 3 and 300, and so on.”  \n
            But then you’ll notice a problem. The list of natural numbers already contains every multiple of 100 within it. Therefore, the list of natural numbers should be bigger because you’re adding more numbers. So now paradoxically, both sets seem like they should be bigger than the other.\n
            \n
            The only resolution to this paradox is that both sets are exactly equal. I’m not smart enough to give a full mathematical proof of that, but hopefully that at least clears it up a bit.\n
            \n
            Adding up 100 dollar bills infinitely and adding up 1 dollar bills infinitely is functionally exactly the same as adding up the natural numbers and all the multiples of 100.\n
            \n
            The only way to have a larger infinity that I know of us to be uncountably infinite, because it is impossible to have a 1 to 1 correspondence of a countably infinite set, and an uncountably infinite set.
            """
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            "@tdawg@lemmy.world"
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        }
        +root: App\Entity\EntryComment {#4913}
        +body: "Infinity is a concept that can’t be reached so it can’t be counted up fully. Its not a hard number so you can’t get a full value from it since there is **always** another number to reach. Therefore you only peak at ∞ in any individual moment. You can never actually count it."
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          date: 2024-01-07 08:00:18.0 +01:00
        }
      }
      +root: App\Entity\EntryComment {#4913}
      +body: """
        If you’re responding to the part about countable infinity and uncountable infinity, it’s a bit of a misnomer, but it is the proper term.\n
        \n
        Countably infinite is when you can pick any number in the set and know what comes next.\n
        \n
        Uncountably infinite is when it’s physically impossible to do that, such as with a set of all irrational numbers. You can pick any number you want, but it’s impossible to count what came before or after it because you could just make the decimal even more precise, infinitely.\n
        \n
        The bizarre thing about this property is that even if you paired every number in a uncountably infinite set (such as a set of all irrational numbers) with a countably infinite set (such as a set of all natural numbers) then no matter how you paired them, you would always find a number from the uncountably infinite set you forgot. Infinitely many in fact.\n
        \n
        It’s often demonstrated by drawing up a chart of all rational numbers, and pairing each with an irrational number. Even if you did it perfectly, you could change the first digit of the irrational number paired with one, change the second digit of the irrational number paired with two, and so on. Once you were done, you’d put all the new digits together in order, and now you have a new number that appears nowhere on your infinite list.  \n
        It’ll be at least one digit off from every single number you have, because you just went through and changed those digits.\n
        \n
        Because of that property, uncountably infinite sets are often said to be larger than countably infinite sets. I suppose depending on your definition that’s true, but I think of it as just a different type of infinity.
        """
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        date: 2024-01-07 08:21:09.0 +01:00
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    +root: App\Entity\EntryComment {#4913}
    +body: "Sure if you’re talking about a concept like money, but we’re talking about dollar bills and 100 dollar bills, physical objects. And if you’re talking about physical objects you have to consider material reality, if you’re choosing one or the other the 100 dollar bills are more convinient. Therefore they have more utility, which makes them have a higher value."
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      date: 2024-01-07 08:55:03.0 +01:00
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    I agree. I’m just being a math nerd.\n
    \n
    I was actually discussing this with my wife earlier and her position is that the 1 dollar bills are better because it’s tough to find somebody who’ll split a 100, and 100s don’t work in vending machines.\n
    \n
    I thought the hundreds would be better because you could just deposit them in the bank and use your card, and banks often have limits on how many individual bills you can deposit at once, so hundreds are way better for that.
    """
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
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"App\Security\Voter\PostVoter"
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149 DENIED ROLE_USER 
null
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
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"App\Security\Voter\MessageVoter"
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"App\Security\Voter\NotificationVoter"
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"App\Security\Voter\OAuth2UserConsentVoter"
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150 DENIED moderate 
App\Entity\EntryComment {#5285
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      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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      +body: "They’re both countibly infinite thus the same, no?"
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    You’re right that they’re the same size but you’re mistaken when you try to assign a total value to the stack. Consider breaking each $100 bill into 100 $1 bills. The value is the same, clearly. So for each pair, you have a $1 bill and a small stack of 100 $1 bills. Now combine all singles back together in an infinite stack. Then combine all stacks of 100 into an infinite stack.\n
    \n
    And you know what? Both infinite stacks are identical. They have the same value.
    """
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    date: 2024-01-07 03:36:23.0 +01:00
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}
 
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151 DENIED edit 
App\Entity\EntryComment {#5285
  +user: Proxies\__CG__\App\Entity\User {#5286 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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        date: 2024-01-06 18:59:10.0 +01:00
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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      date: 2024-01-06 20:42:18.0 +01:00
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  }
  +root: App\Entity\EntryComment {#4913}
  +body: """
    You’re right that they’re the same size but you’re mistaken when you try to assign a total value to the stack. Consider breaking each $100 bill into 100 $1 bills. The value is the same, clearly. So for each pair, you have a $1 bill and a small stack of 100 $1 bills. Now combine all singles back together in an infinite stack. Then combine all stacks of 100 into an infinite stack.\n
    \n
    And you know what? Both infinite stacks are identical. They have the same value.
    """
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    date: 2024-01-07 03:36:23.0 +01:00
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
152 DENIED moderate 
App\Entity\EntryComment {#5285
  +user: Proxies\__CG__\App\Entity\User {#5286 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +image: null
    +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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  }
  +root: App\Entity\EntryComment {#4913}
  +body: """
    You’re right that they’re the same size but you’re mistaken when you try to assign a total value to the stack. Consider breaking each $100 bill into 100 $1 bills. The value is the same, clearly. So for each pair, you have a $1 bill and a small stack of 100 $1 bills. Now combine all singles back together in an infinite stack. Then combine all stacks of 100 into an infinite stack.\n
    \n
    And you know what? Both infinite stacks are identical. They have the same value.
    """
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  +createdAt: DateTimeImmutable @1704594983 {#5284
    date: 2024-01-07 03:36:23.0 +01:00
  }
}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
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"App\Security\Voter\NotificationVoter"
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"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
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Show voter details
153 DENIED ROLE_USER 
null
 
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 ACCESS ABSTAIN 
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
154 DENIED moderate 
App\Entity\EntryComment {#5302
  +user: Proxies\__CG__\App\Entity\User {#5303 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
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      +title: "memes"
      +description: """
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        ---------------\n
        \n
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        \n
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        \n
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        \n
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        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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  +root: App\Entity\EntryComment {#4913}
  +body: """
    You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
    \n
    Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
    \n
    100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
    """
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
155 DENIED edit 
App\Entity\EntryComment {#5302
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  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
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        \n
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        \n
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        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
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      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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      "@tdawg@lemmy.world"
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      date: 2024-01-06 20:42:18.0 +01:00
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  }
  +root: App\Entity\EntryComment {#4913}
  +body: """
    You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
    \n
    Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
    \n
    100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
    """
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    "@tdawg@lemmy.world"
    "@balderdash9@lemmy.zip"
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  +children: Doctrine\ORM\PersistentCollection {#5304 …}
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
156 DENIED moderate 
App\Entity\EntryComment {#5302
  +user: Proxies\__CG__\App\Entity\User {#5303 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
      +rules: null
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        date: 2024-10-12 16:32:25.0 +02:00
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        date: 2023-11-04 08:50:55.0 +01:00
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    }
    +image: null
    +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
    +url: "https://lemmy.zip/pictrs/image/4431b08d-fec5-4ddd-9a7c-88dadc5c4247.webp"
    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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      date: 2024-04-09 01:07:05.0 +02:00
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      date: 2024-01-06 18:07:31.0 +01:00
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  +magazine: App\Entity\Magazine {#266}
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  +parent: App\Entity\EntryComment {#5102
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
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    +parent: App\Entity\EntryComment {#4913
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      +magazine: App\Entity\Magazine {#266}
      +image: null
      +parent: null
      +root: null
      +body: "They’re both countibly infinite thus the same, no?"
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        date: 2024-01-06 18:59:10.0 +01:00
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    }
    +root: App\Entity\EntryComment {#4913}
    +body: """
      To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
      \n
      For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
      \n
      So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
      \n
      You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
      """
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      date: 2024-01-06 20:42:18.0 +01:00
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  }
  +root: App\Entity\EntryComment {#4913}
  +body: """
    You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
    \n
    Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
    \n
    100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
    """
  +lang: "en"
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    "@tdawg@lemmy.world"
    "@balderdash9@lemmy.zip"
    "@tdawg@lemmy.world"
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  +children: Doctrine\ORM\PersistentCollection {#5304 …}
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    date: 2024-01-06 21:27:10.0 +01:00
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
157 DENIED ROLE_USER 
null
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"Symfony\Component\Security\Core\Authorization\Voter\RoleHierarchyVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
158 DENIED moderate 
App\Entity\EntryComment {#5358
  +user: Proxies\__CG__\App\Entity\User {#1970 …}
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    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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        +body: "They’re both countibly infinite thus the same, no?"
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        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
        \n
        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
        \n
        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
        \n
        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
        """
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      You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
      \n
      Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
      \n
      100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
      """
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  +body: """
    > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
    \n
    Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
    \n
    > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
    \n
    I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
    \n
    I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
    """
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        Community rules\n
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        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        4. No botsNo bots without the express approval of the mods or the admins\n
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        \n
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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      +body: """
        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
        \n
        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
        \n
        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
        \n
        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
        """
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    +body: """
      You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
      \n
      Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
      \n
      100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
      """
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  +body: """
    > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
    \n
    Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
    \n
    > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
    \n
    I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
    \n
    I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
    """
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160 DENIED moderate 
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
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        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
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        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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        +body: "They’re both countibly infinite thus the same, no?"
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      +body: """
        To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
        \n
        For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
        \n
        So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
        \n
        You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
        """
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    +body: """
      You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
      \n
      Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
      \n
      100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
      """
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    > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
    \n
    Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
    \n
    > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
    \n
    I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
    \n
    I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
    """
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        Community rules\n
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        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        Sister communities\n
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        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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          +body: "They’re both countibly infinite thus the same, no?"
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        +body: """
          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
          \n
          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
          \n
          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
          \n
          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
          """
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      +body: """
        You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
        \n
        Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
        \n
        100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
        """
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      > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
      \n
      Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
      \n
      > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
      \n
      I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
      \n
      I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
      """
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    Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
    \n
    Set 1 | Set 2\n
    \n
    1|2\n
    \n
    2|4\n
    \n
    3|6\n
    \n
    4|8\n
    \n
    5|10\n
    \n
    6|12\n
    \n
    If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
    \n
    $1|$100\n
    \n
    $2|$200\n
    \n
    $3|$300\n
    \n
    In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
    """
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163 DENIED edit 
App\Entity\EntryComment {#5429
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      +title: "memes"
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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          +body: "They’re both countibly infinite thus the same, no?"
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        +body: """
          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
          \n
          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
          \n
          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
          \n
          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
          """
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      +body: """
        You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
        \n
        Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
        \n
        100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
        """
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    +body: """
      > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
      \n
      Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
      \n
      > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
      \n
      I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
      \n
      I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
      """
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    Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
    \n
    Set 1 | Set 2\n
    \n
    1|2\n
    \n
    2|4\n
    \n
    3|6\n
    \n
    4|8\n
    \n
    5|10\n
    \n
    6|12\n
    \n
    If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
    \n
    $1|$100\n
    \n
    $2|$200\n
    \n
    $3|$300\n
    \n
    In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
    """
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164 DENIED moderate 
App\Entity\EntryComment {#5429
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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          +body: "They’re both countibly infinite thus the same, no?"
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        +body: """
          To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
          \n
          For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
          \n
          So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
          \n
          You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
          """
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      +body: """
        You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
        \n
        Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
        \n
        100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
        """
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    +body: """
      > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
      \n
      Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
      \n
      > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
      \n
      I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
      \n
      I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
      """
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    Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
    \n
    Set 1 | Set 2\n
    \n
    1|2\n
    \n
    2|4\n
    \n
    3|6\n
    \n
    4|8\n
    \n
    5|10\n
    \n
    6|12\n
    \n
    If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
    \n
    $1|$100\n
    \n
    $2|$200\n
    \n
    $3|$300\n
    \n
    In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
    """
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App\Entity\EntryComment {#5500
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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            +body: "They’re both countibly infinite thus the same, no?"
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          +root: App\Entity\EntryComment {#4913}
          +body: """
            To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
            \n
            For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
            \n
            So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
            \n
            You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
            """
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        +body: """
          You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
          \n
          Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
          \n
          100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
          """
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      +body: """
        > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
        \n
        Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
        \n
        > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
        \n
        I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
        \n
        I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
      \n
      Set 1 | Set 2\n
      \n
      1|2\n
      \n
      2|4\n
      \n
      3|6\n
      \n
      4|8\n
      \n
      5|10\n
      \n
      6|12\n
      \n
      If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
      \n
      $1|$100\n
      \n
      $2|$200\n
      \n
      $3|$300\n
      \n
      In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
      """
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  +body: """
    I understand that both sets are equally infinite (same cardinality). And I do see the plausibility in your argument that, in each case, since there’s an infinite number of bills their value should be equally infinite. If your argument is correct, then I should revise my understanding of infinity. So maybe you can help me make sense of the following two examples.\n
    \n
    First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
    \n
    Second, there are equally many positive integers as there are negative integers. If we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is greater than the negative.\n
    \n
    In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.\n
    \n
    EDIT: I see now that I was mistaken.
    """
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167 DENIED edit 
App\Entity\EntryComment {#5500
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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            +body: "They’re both countibly infinite thus the same, no?"
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          +body: """
            To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
            \n
            For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
            \n
            So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
            \n
            You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
            """
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        +body: """
          You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
          \n
          Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
          \n
          100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
          """
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      +body: """
        > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
        \n
        Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
        \n
        > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
        \n
        I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
        \n
        I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
      \n
      Set 1 | Set 2\n
      \n
      1|2\n
      \n
      2|4\n
      \n
      3|6\n
      \n
      4|8\n
      \n
      5|10\n
      \n
      6|12\n
      \n
      If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
      \n
      $1|$100\n
      \n
      $2|$200\n
      \n
      $3|$300\n
      \n
      In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
      """
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  +body: """
    I understand that both sets are equally infinite (same cardinality). And I do see the plausibility in your argument that, in each case, since there’s an infinite number of bills their value should be equally infinite. If your argument is correct, then I should revise my understanding of infinity. So maybe you can help me make sense of the following two examples.\n
    \n
    First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
    \n
    Second, there are equally many positive integers as there are negative integers. If we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is greater than the negative.\n
    \n
    In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.\n
    \n
    EDIT: I see now that I was mistaken.
    """
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        Community rules\n
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        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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          +body: """
            To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
            \n
            For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
            \n
            So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
            \n
            You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
            """
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        +body: """
          You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
          \n
          Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
          \n
          100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
          """
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      +body: """
        > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
        \n
        Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
        \n
        > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
        \n
        I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
        \n
        I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
      \n
      Set 1 | Set 2\n
      \n
      1|2\n
      \n
      2|4\n
      \n
      3|6\n
      \n
      4|8\n
      \n
      5|10\n
      \n
      6|12\n
      \n
      If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
      \n
      $1|$100\n
      \n
      $2|$200\n
      \n
      $3|$300\n
      \n
      In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
      """
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  +body: """
    I understand that both sets are equally infinite (same cardinality). And I do see the plausibility in your argument that, in each case, since there’s an infinite number of bills their value should be equally infinite. If your argument is correct, then I should revise my understanding of infinity. So maybe you can help me make sense of the following two examples.\n
    \n
    First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
    \n
    Second, there are equally many positive integers as there are negative integers. If we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is greater than the negative.\n
    \n
    In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.\n
    \n
    EDIT: I see now that I was mistaken.
    """
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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              +body: "They’re both countibly infinite thus the same, no?"
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            +body: """
              To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
              \n
              For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
              \n
              So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
              \n
              You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
              """
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          +body: """
            You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
            \n
            Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
            \n
            100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
            """
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        +body: """
          > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
          \n
          Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
          \n
          > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
          \n
          I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
          \n
          I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
          """
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      +body: """
        Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
        \n
        Set 1 | Set 2\n
        \n
        1|2\n
        \n
        2|4\n
        \n
        3|6\n
        \n
        4|8\n
        \n
        5|10\n
        \n
        6|12\n
        \n
        If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
        \n
        $1|$100\n
        \n
        $2|$200\n
        \n
        $3|$300\n
        \n
        In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
        """
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    +body: """
      I understand that both sets are equally infinite (same cardinality). And I do see the plausibility in your argument that, in each case, since there’s an infinite number of bills their value should be equally infinite. If your argument is correct, then I should revise my understanding of infinity. So maybe you can help me make sense of the following two examples.\n
      \n
      First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
      \n
      Second, there are equally many positive integers as there are negative integers. If we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is greater than the negative.\n
      \n
      In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.\n
      \n
      EDIT: I see now that I was mistaken.
      """
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  +body: """
    > But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1.\n
    \n
    0.9 and 0.8 are in that set, so they would add up to at least 1.7. In fact if you give me any positive number I can give you a (finite!) set of (distinct) fractions less than 1 which sum to more than that number. In other words, the sum is infinite.
    """
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171 DENIED edit 
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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              +body: "They’re both countibly infinite thus the same, no?"
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            +body: """
              To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
              \n
              For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
              \n
              So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
              \n
              You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
              """
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          +body: """
            You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
            \n
            Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
            \n
            100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
            """
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        +body: """
          > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
          \n
          Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
          \n
          > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
          \n
          I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
          \n
          I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
          """
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      +body: """
        Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
        \n
        Set 1 | Set 2\n
        \n
        1|2\n
        \n
        2|4\n
        \n
        3|6\n
        \n
        4|8\n
        \n
        5|10\n
        \n
        6|12\n
        \n
        If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
        \n
        $1|$100\n
        \n
        $2|$200\n
        \n
        $3|$300\n
        \n
        In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
        """
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      I understand that both sets are equally infinite (same cardinality). And I do see the plausibility in your argument that, in each case, since there’s an infinite number of bills their value should be equally infinite. If your argument is correct, then I should revise my understanding of infinity. So maybe you can help me make sense of the following two examples.\n
      \n
      First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
      \n
      Second, there are equally many positive integers as there are negative integers. If we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is greater than the negative.\n
      \n
      In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.\n
      \n
      EDIT: I see now that I was mistaken.
      """
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    > But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1.\n
    \n
    0.9 and 0.8 are in that set, so they would add up to at least 1.7. In fact if you give me any positive number I can give you a (finite!) set of (distinct) fractions less than 1 which sum to more than that number. In other words, the sum is infinite.
    """
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172 DENIED moderate 
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        Community rules\n
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        Sister communities\n
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        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
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              +body: "They’re both countibly infinite thus the same, no?"
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              To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
              \n
              For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
              \n
              So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
              \n
              You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
              """
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          +body: """
            You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
            \n
            Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
            \n
            100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
            """
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          > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
          \n
          Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
          \n
          > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
          \n
          I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
          \n
          I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
          """
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
        \n
        Set 1 | Set 2\n
        \n
        1|2\n
        \n
        2|4\n
        \n
        3|6\n
        \n
        4|8\n
        \n
        5|10\n
        \n
        6|12\n
        \n
        If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
        \n
        $1|$100\n
        \n
        $2|$200\n
        \n
        $3|$300\n
        \n
        In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
        """
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    +body: """
      I understand that both sets are equally infinite (same cardinality). And I do see the plausibility in your argument that, in each case, since there’s an infinite number of bills their value should be equally infinite. If your argument is correct, then I should revise my understanding of infinity. So maybe you can help me make sense of the following two examples.\n
      \n
      First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
      \n
      Second, there are equally many positive integers as there are negative integers. If we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is greater than the negative.\n
      \n
      In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.\n
      \n
      EDIT: I see now that I was mistaken.
      """
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  +body: """
    > But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1.\n
    \n
    0.9 and 0.8 are in that set, so they would add up to at least 1.7. In fact if you give me any positive number I can give you a (finite!) set of (distinct) fractions less than 1 which sum to more than that number. In other words, the sum is infinite.
    """
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        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        Sister communities\n
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
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                To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                \n
                For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                \n
                So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                \n
                You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                """
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            +body: """
              You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
              \n
              Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
              \n
              100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
              """
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          +body: """
            > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
            \n
            Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
            \n
            > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
            \n
            I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
            \n
            I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
            """
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        +body: """
          Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
          \n
          Set 1 | Set 2\n
          \n
          1|2\n
          \n
          2|4\n
          \n
          3|6\n
          \n
          4|8\n
          \n
          5|10\n
          \n
          6|12\n
          \n
          If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
          \n
          $1|$100\n
          \n
          $2|$200\n
          \n
          $3|$300\n
          \n
          In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
          """
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      +body: """
        I understand that both sets are equally infinite (same cardinality). And I do see the plausibility in your argument that, in each case, since there’s an infinite number of bills their value should be equally infinite. If your argument is correct, then I should revise my understanding of infinity. So maybe you can help me make sense of the following two examples.\n
        \n
        First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
        \n
        Second, there are equally many positive integers as there are negative integers. If we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is greater than the negative.\n
        \n
        In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.\n
        \n
        EDIT: I see now that I was mistaken.
        """
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    +body: """
      > But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1.\n
      \n
      0.9 and 0.8 are in that set, so they would add up to at least 1.7. In fact if you give me any positive number I can give you a (finite!) set of (distinct) fractions less than 1 which sum to more than that number. In other words, the sum is infinite.
      """
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  +body: """
    I meant to say that we can infinitely divide the numbers between 0 and 1 and then match each with an integer. But I realized that the former wouldn’t be rational numbers, they would be real numbers.\n
    \n
    That aside, I see now that the original idea behind the meme was mistaken.
    """
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
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175 DENIED edit 
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +title: "EDIT: I THINK I STAND CORRECTED"
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    +body: "I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!"
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                +body: "They’re both countibly infinite thus the same, no?"
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              +body: """
                To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                \n
                For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                \n
                So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                \n
                You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                """
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            +body: """
              You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
              \n
              Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
              \n
              100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
              """
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          +body: """
            > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
            \n
            Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
            \n
            > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
            \n
            I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
            \n
            I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
            """
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        +body: """
          Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
          \n
          Set 1 | Set 2\n
          \n
          1|2\n
          \n
          2|4\n
          \n
          3|6\n
          \n
          4|8\n
          \n
          5|10\n
          \n
          6|12\n
          \n
          If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
          \n
          $1|$100\n
          \n
          $2|$200\n
          \n
          $3|$300\n
          \n
          In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
          """
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      +body: """
        I understand that both sets are equally infinite (same cardinality). And I do see the plausibility in your argument that, in each case, since there’s an infinite number of bills their value should be equally infinite. If your argument is correct, then I should revise my understanding of infinity. So maybe you can help me make sense of the following two examples.\n
        \n
        First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
        \n
        Second, there are equally many positive integers as there are negative integers. If we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is greater than the negative.\n
        \n
        In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.\n
        \n
        EDIT: I see now that I was mistaken.
        """
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    +body: """
      > But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1.\n
      \n
      0.9 and 0.8 are in that set, so they would add up to at least 1.7. In fact if you give me any positive number I can give you a (finite!) set of (distinct) fractions less than 1 which sum to more than that number. In other words, the sum is infinite.
      """
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    I meant to say that we can infinitely divide the numbers between 0 and 1 and then match each with an integer. But I realized that the former wouldn’t be rational numbers, they would be real numbers.\n
    \n
    That aside, I see now that the original idea behind the meme was mistaken.
    """
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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              +body: """
                To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                \n
                For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                \n
                So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                \n
                You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                """
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              You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
              \n
              Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
              \n
              100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
              """
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          +body: """
            > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
            \n
            Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
            \n
            > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
            \n
            I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
            \n
            I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
            """
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
          \n
          Set 1 | Set 2\n
          \n
          1|2\n
          \n
          2|4\n
          \n
          3|6\n
          \n
          4|8\n
          \n
          5|10\n
          \n
          6|12\n
          \n
          If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
          \n
          $1|$100\n
          \n
          $2|$200\n
          \n
          $3|$300\n
          \n
          In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
          """
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      +body: """
        I understand that both sets are equally infinite (same cardinality). And I do see the plausibility in your argument that, in each case, since there’s an infinite number of bills their value should be equally infinite. If your argument is correct, then I should revise my understanding of infinity. So maybe you can help me make sense of the following two examples.\n
        \n
        First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
        \n
        Second, there are equally many positive integers as there are negative integers. If we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is greater than the negative.\n
        \n
        In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.\n
        \n
        EDIT: I see now that I was mistaken.
        """
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    +root: App\Entity\EntryComment {#4913}
    +body: """
      > But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1.\n
      \n
      0.9 and 0.8 are in that set, so they would add up to at least 1.7. In fact if you give me any positive number I can give you a (finite!) set of (distinct) fractions less than 1 which sum to more than that number. In other words, the sum is infinite.
      """
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  +body: """
    I meant to say that we can infinitely divide the numbers between 0 and 1 and then match each with an integer. But I realized that the former wouldn’t be rational numbers, they would be real numbers.\n
    \n
    That aside, I see now that the original idea behind the meme was mistaken.
    """
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App\Entity\EntryComment {#5552
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        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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              +body: "They’re both countibly infinite thus the same, no?"
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            +body: """
              To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
              \n
              For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
              \n
              So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
              \n
              You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
              """
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          +body: """
            You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
            \n
            Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
            \n
            100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
            """
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        +body: """
          > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
          \n
          Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
          \n
          > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
          \n
          I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
          \n
          I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
          """
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      +body: """
        Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
        \n
        Set 1 | Set 2\n
        \n
        1|2\n
        \n
        2|4\n
        \n
        3|6\n
        \n
        4|8\n
        \n
        5|10\n
        \n
        6|12\n
        \n
        If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
        \n
        $1|$100\n
        \n
        $2|$200\n
        \n
        $3|$300\n
        \n
        In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
        """
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    +body: """
      I understand that both sets are equally infinite (same cardinality). And I do see the plausibility in your argument that, in each case, since there’s an infinite number of bills their value should be equally infinite. If your argument is correct, then I should revise my understanding of infinity. So maybe you can help me make sense of the following two examples.\n
      \n
      First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
      \n
      Second, there are equally many positive integers as there are negative integers. If we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is greater than the negative.\n
      \n
      In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.\n
      \n
      EDIT: I see now that I was mistaken.
      """
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    > But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1.\n
    \n
    Um no? 3/4 + 5/6 > 1\n
    \n
    If you mean the series 1/2 + 1/3 + 1/4 + … that also tends to infinity
    """
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179 DENIED edit 
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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              +body: "They’re both countibly infinite thus the same, no?"
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            +body: """
              To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
              \n
              For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
              \n
              So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
              \n
              You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
              """
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          +body: """
            You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
            \n
            Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
            \n
            100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
            """
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        +body: """
          > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
          \n
          Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
          \n
          > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
          \n
          I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
          \n
          I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
          """
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      +body: """
        Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
        \n
        Set 1 | Set 2\n
        \n
        1|2\n
        \n
        2|4\n
        \n
        3|6\n
        \n
        4|8\n
        \n
        5|10\n
        \n
        6|12\n
        \n
        If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
        \n
        $1|$100\n
        \n
        $2|$200\n
        \n
        $3|$300\n
        \n
        In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
        """
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      I understand that both sets are equally infinite (same cardinality). And I do see the plausibility in your argument that, in each case, since there’s an infinite number of bills their value should be equally infinite. If your argument is correct, then I should revise my understanding of infinity. So maybe you can help me make sense of the following two examples.\n
      \n
      First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
      \n
      Second, there are equally many positive integers as there are negative integers. If we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is greater than the negative.\n
      \n
      In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.\n
      \n
      EDIT: I see now that I was mistaken.
      """
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    > But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1.\n
    \n
    Um no? 3/4 + 5/6 > 1\n
    \n
    If you mean the series 1/2 + 1/3 + 1/4 + … that also tends to infinity
    """
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180 DENIED moderate 
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        Community rules\n
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        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
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        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        Sister communities\n
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        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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              +body: "They’re both countibly infinite thus the same, no?"
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            +body: """
              To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
              \n
              For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
              \n
              So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
              \n
              You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
              """
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          +body: """
            You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
            \n
            Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
            \n
            100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
            """
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        +body: """
          > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
          \n
          Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
          \n
          > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
          \n
          I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
          \n
          I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
          """
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      +root: App\Entity\EntryComment {#4913}
      +body: """
        Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
        \n
        Set 1 | Set 2\n
        \n
        1|2\n
        \n
        2|4\n
        \n
        3|6\n
        \n
        4|8\n
        \n
        5|10\n
        \n
        6|12\n
        \n
        If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
        \n
        $1|$100\n
        \n
        $2|$200\n
        \n
        $3|$300\n
        \n
        In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
        """
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    +body: """
      I understand that both sets are equally infinite (same cardinality). And I do see the plausibility in your argument that, in each case, since there’s an infinite number of bills their value should be equally infinite. If your argument is correct, then I should revise my understanding of infinity. So maybe you can help me make sense of the following two examples.\n
      \n
      First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
      \n
      Second, there are equally many positive integers as there are negative integers. If we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is greater than the negative.\n
      \n
      In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.\n
      \n
      EDIT: I see now that I was mistaken.
      """
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    > But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1.\n
    \n
    Um no? 3/4 + 5/6 > 1\n
    \n
    If you mean the series 1/2 + 1/3 + 1/4 + … that also tends to infinity
    """
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        Sister communities\n
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
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              +body: """
                To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                \n
                For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                \n
                So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                \n
                You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                """
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            +body: """
              You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
              \n
              Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
              \n
              100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
              """
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          +body: """
            > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
            \n
            Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
            \n
            > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
            \n
            I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
            \n
            I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
            """
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        +body: """
          Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
          \n
          Set 1 | Set 2\n
          \n
          1|2\n
          \n
          2|4\n
          \n
          3|6\n
          \n
          4|8\n
          \n
          5|10\n
          \n
          6|12\n
          \n
          If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
          \n
          $1|$100\n
          \n
          $2|$200\n
          \n
          $3|$300\n
          \n
          In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
          """
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      +body: """
        I understand that both sets are equally infinite (same cardinality). And I do see the plausibility in your argument that, in each case, since there’s an infinite number of bills their value should be equally infinite. If your argument is correct, then I should revise my understanding of infinity. So maybe you can help me make sense of the following two examples.\n
        \n
        First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
        \n
        Second, there are equally many positive integers as there are negative integers. If we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is greater than the negative.\n
        \n
        In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.\n
        \n
        EDIT: I see now that I was mistaken.
        """
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    +body: """
      > But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1.\n
      \n
      Um no? 3/4 + 5/6 > 1\n
      \n
      If you mean the series 1/2 + 1/3 + 1/4 + … that also tends to infinity
      """
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  +body: """
    I meant to say that we can infinitely divide the numbers between 0 and 1 and then match each with an integer. But I realized that the former wouldn’t be rational numbers, they would be real numbers.\n
    \n
    That aside, I see now that the original idea behind the meme was mistaken.
    """
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183 DENIED edit 
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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                +body: "They’re both countibly infinite thus the same, no?"
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              +body: """
                To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                \n
                For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                \n
                So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                \n
                You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                """
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            +body: """
              You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
              \n
              Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
              \n
              100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
              """
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          +body: """
            > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
            \n
            Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
            \n
            > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
            \n
            I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
            \n
            I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
            """
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        +body: """
          Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
          \n
          Set 1 | Set 2\n
          \n
          1|2\n
          \n
          2|4\n
          \n
          3|6\n
          \n
          4|8\n
          \n
          5|10\n
          \n
          6|12\n
          \n
          If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
          \n
          $1|$100\n
          \n
          $2|$200\n
          \n
          $3|$300\n
          \n
          In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
          """
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      +body: """
        I understand that both sets are equally infinite (same cardinality). And I do see the plausibility in your argument that, in each case, since there’s an infinite number of bills their value should be equally infinite. If your argument is correct, then I should revise my understanding of infinity. So maybe you can help me make sense of the following two examples.\n
        \n
        First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
        \n
        Second, there are equally many positive integers as there are negative integers. If we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is greater than the negative.\n
        \n
        In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.\n
        \n
        EDIT: I see now that I was mistaken.
        """
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      > But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1.\n
      \n
      Um no? 3/4 + 5/6 > 1\n
      \n
      If you mean the series 1/2 + 1/3 + 1/4 + … that also tends to infinity
      """
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    I meant to say that we can infinitely divide the numbers between 0 and 1 and then match each with an integer. But I realized that the former wouldn’t be rational numbers, they would be real numbers.\n
    \n
    That aside, I see now that the original idea behind the meme was mistaken.
    """
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184 DENIED moderate 
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        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
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        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
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        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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                +body: "They’re both countibly infinite thus the same, no?"
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              +body: """
                To establish whether one set is of a larger cardinality, we try to establish a one-to-one correspondence between the members of the set.\n
                \n
                For example, I have a **very large** dinner party and I don’t want to count up all the forks and spoons that I’ll need for the guests. So, instead of counting, everytime I place a fork on the table I also place a spoon. If I can match the two, they must be an equal number (whatever that number is).\n
                \n
                So let’s start with one $1 bill. We’ll match it with one $100 bill. Let’s add a second $1 bill and match it with another $100 bill. Ad infinitum. For each $1 bill there is a corresponding $100 bill. So there is the same number of bills (the two infinite sets have the same cardinality).\n
                \n
                You likely can see the point I’m making now; there are just as many $1 bills as there are $100 bills, but each $100 bill is worth more.
                """
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            +body: """
              You could make an argument that infinite $100 bills are more valuable for their ease of use or convenience, but infinite $100 bills and infinite $1 bills are equivalent amounts of money. Don’t think of infinity as a number, it isn’t one, it’s infinity. You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number. Uncountable infinities are bigger than countable ones, but every countable infinity is the same.\n
              \n
              Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity. Infinity + infinity =/= 2(infinity). It’s just infinity. 10 stacks of infinite bills are equivalent to one stack of infinite bills. You could add them all together; you don’t have any more than the original stack. You could divide each stack by any number, and you still have infinity in each divided stack. Infinity is not a number, you cannot do arithmetic on it.\n
              \n
              100 stacks of infinite $1 bills are not more than one stack of infinite $1 bills, so neither is infinite $100 bills.
              """
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          +body: """
            > You can map 1000 one dollar bills to every single 100 dollar bill and never run out, even in the limit, and therefore conclude (equally incorrectly) that the infinite $1 bills are worth more, because infinity isn’t a number.\n
            \n
            Yes, the mapping that you’re describing isn’t useful; but that doesn’t invalidate the simple test that we can do to prove that two infinite sets are the same. And the test is pretty intuitive in some cases. If for every fork there is a spoon, then they must be an equal number. And if for every positive whole number (e.g “2”) there is a negative whole number (e.g. “-2”), then the set of positive whole numbers and the set of negative whole numbers **must** be the same.\n
            \n
            > Another thing that seems unintuitive but might make the concept in general make more sense is that you cannot add or do any other arithmetic on infinity.\n
            \n
            I agree with you that adding infinity to itself just gets you the same number. But now we’re starting to ask: just what is infinity? We could think of infinity as a collection of things or we could think of infinity like we do numbers (yes, I know infinity is not technically among the real numbers). In the latter sense we could have a negative infinity {-1…-2…-3…etc.} that is quantitatively “worth less” than a countable positive infinity. On the other hand, if we think of infinity as a collection of stuff, then you couldn’t have a negative infinity because you can’t have less than zero members in the set.\n
            \n
            I’ll admit that I’m getting out of my depth here since I know this stuff from philosophical study rather than maths proper. As with anything, I’m happy to be proven wrong, but I’m quite sure about the 1-1 correspondence bit.
            """
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        +root: App\Entity\EntryComment {#4913}
        +body: """
          Your 1-1 relationship makes sense intuitively with a finite set but it breaks down with the mathematical concept of infinity. [Here’s a good article](https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/) explaining it, but DreamButt’s point of every set of countable infinite sets are equal holds true because you can map them. Take a set of all positive integers and a set of all positive, even integers. At first glance it seems like the second set is half as big right? But you can map them like this:\n
          \n
          Set 1 | Set 2\n
          \n
          1|2\n
          \n
          2|4\n
          \n
          3|6\n
          \n
          4|8\n
          \n
          5|10\n
          \n
          6|12\n
          \n
          If you added the numbers up on the two sets you would get 21 and 42 respectively. Set 2 isn’t bigger, the numbers just increased twice as fast because we had half as many to count. When you continue the series infinitely they’re the same size. The same applies for $1 vs $100 bills.\n
          \n
          $1|$100\n
          \n
          $2|$200\n
          \n
          $3|$300\n
          \n
          In this case the $1 bills are every integer while the $100 bills is the set of all 100’s instead of all even integers, but the same rule applies. Set two is increasing 100x faster but that’s because they’re skipping all the numbers in between.
          """
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      +body: """
        I understand that both sets are equally infinite (same cardinality). And I do see the plausibility in your argument that, in each case, since there’s an infinite number of bills their value should be equally infinite. If your argument is correct, then I should revise my understanding of infinity. So maybe you can help me make sense of the following two examples.\n
        \n
        First, the number of rational numbers between 0 and 1 is countably infinite. That is, we can establish a 1-1 correspondence between the infinite set of fractions between 0-1 and the infinite set of positive integers. So the number of numbers is the same. But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1. Whereas, adding up the set of positive integers will get us infinity.\n
        \n
        Second, there are equally many positive integers as there are negative integers. If we add up the positive integers we get positive infinity and if we add up all the negative integers we get negative infinity. Clearly, the positive is greater than the negative.\n
        \n
        In these two cases, we see that a distinction needs to be made between the infinite number of members in the set and the value of each member. The same arguably applies in the case of the dollar bills.\n
        \n
        EDIT: I see now that I was mistaken.
        """
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    +body: """
      > But clearly, if we add up all the infinite fractions between 0 and 1, they would add up to 1.\n
      \n
      Um no? 3/4 + 5/6 > 1\n
      \n
      If you mean the series 1/2 + 1/3 + 1/4 + … that also tends to infinity
      """
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  +body: """
    I meant to say that we can infinitely divide the numbers between 0 and 1 and then match each with an integer. But I realized that the former wouldn’t be rational numbers, they would be real numbers.\n
    \n
    That aside, I see now that the original idea behind the meme was mistaken.
    """
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        \n
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        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
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        \n
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        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
187 DENIED edit 
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
188 DENIED moderate 
App\Entity\EntryComment {#4986
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        ---------------\n
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
189 DENIED ROLE_USER 
null
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
190 DENIED moderate 
App\Entity\EntryComment {#5072
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        \n
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
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Show voter details
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN
Show voter details
194 DENIED moderate 
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        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
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 ACCESS ABSTAIN 
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
195 DENIED edit 
App\Entity\EntryComment {#5173
  +user: App\Entity\User {#4999 …}
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      +name: "memes@lemmy.world"
      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
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        \n
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        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
196 DENIED moderate 
App\Entity\EntryComment {#5173
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        Sister communities\n
        ------------------\n
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        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
        """
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    +body: "Infinity plus infinity … *Na na NA NA na!!! I win! Na na NA NA na!!!*"
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  +body: "nonono, Infinity times infinity plus one, I win! *tehee nanana Na na na! *"
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
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 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
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"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
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Show voter details
197 DENIED ROLE_USER 
null
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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Show voter details
198 DENIED moderate 
App\Entity\EntryComment {#5188
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        \n
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        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
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    Infinity plus infinity, plus +1 to whatever anyone else says, recurring. No returns!!\n
    \n
    I think you’ll find that’s sealed tight now and that I win. Na NAAAA!\n
    \n
    /runs off maniacally
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
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 ACCESS DENIED 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
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 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
199 DENIED edit 
App\Entity\EntryComment {#5188
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        ---------------\n
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        ------------------\n
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        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
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        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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    +image: null
    +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
    +title: "EDIT: I THINK I STAND CORRECTED"
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    +root: App\Entity\EntryComment {#4986}
    +body: "Infinity plus infinity … *Na na NA NA na!!! I win! Na na NA NA na!!!*"
    +lang: "en"
    +isAdult: false
    +favouriteCount: 3
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      "@orangatang@lemmy.world"
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    +children: Doctrine\ORM\PersistentCollection {#5064 …}
    +nested: Doctrine\ORM\PersistentCollection {#5062 …}
    +votes: Doctrine\ORM\PersistentCollection {#5066 …}
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    -id: 286293
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    +ranking: 0
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    +editedAt: null
    +createdAt: DateTimeImmutable @1704566732 {#5076
      date: 2024-01-06 19:45:32.0 +01:00
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  }
  +root: App\Entity\EntryComment {#4986}
  +body: """
    Infinity plus infinity, plus +1 to whatever anyone else says, recurring. No returns!!\n
    \n
    I think you’ll find that’s sealed tight now and that I win. Na NAAAA!\n
    \n
    /runs off maniacally
    """
  +lang: "en"
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    "@orangatang@lemmy.world"
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
200 DENIED moderate 
App\Entity\EntryComment {#5188
  +user: Proxies\__CG__\App\Entity\User {#5189 …}
  +entry: App\Entity\Entry {#2412
    +user: Proxies\__CG__\App\Entity\User {#1970 …}
    +magazine: App\Entity\Magazine {#266
      +icon: Proxies\__CG__\App\Entity\Image {#247 …}
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      +title: "memes"
      +description: """
        Community rules\n
        ---------------\n
        \n
        1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
        \n
        2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
        \n
        3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
        \n
        4. No botsNo bots without the express approval of the mods or the admins\n
        \n
        5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
        \n
        \n
        \n
        Sister communities\n
        ------------------\n
        \n
        - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
        - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
        - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
        - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
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    +image: null
    +domain: Proxies\__CG__\App\Entity\Domain {#1915 …}
    +slug: "EDIT-I-THINK-I-STAND-CORRECTED"
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    +root: App\Entity\EntryComment {#4986}
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  }
  +root: App\Entity\EntryComment {#4986}
  +body: """
    Infinity plus infinity, plus +1 to whatever anyone else says, recurring. No returns!!\n
    \n
    I think you’ll find that’s sealed tight now and that I win. Na NAAAA!\n
    \n
    /runs off maniacally
    """
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"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS DENIED 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details
201 DENIED edit 
App\Entity\Magazine {#266
  +icon: Proxies\__CG__\App\Entity\Image {#247 …}
  +name: "memes@lemmy.world"
  +title: "memes"
  +description: """
    Community rules\n
    ---------------\n
    \n
    1. Be civilNo trolling, bigotry or other insulting / annoying behaviour\n
    \n
    2. No politicsThis is non-politics community. For political memes please go to [!politicalmemes@lemmy.world](https://lemmy.world/c/politicalmemes)\n
    \n
    3. No recent repostsCheck for reposts when posting a meme, you can only repost after 1 month\n
    \n
    4. No botsNo bots without the express approval of the mods or the admins\n
    \n
    5. No Spam/AdsNo advertisements or spam. This is an instance rule and the only way to live.\n
    \n
    \n
    \n
    Sister communities\n
    ------------------\n
    \n
    - [!tenforward@lemmy.world](https://lemmy.world/c/tenforward) : Star Trek memes, chat and shitposts\n
    - [!lemmyshitpost@lemmy.world](https://lemmy.world/c/lemmyshitpost) : Lemmy Shitposts, anything and everything goes.\n
    - [!linuxmemes@lemmy.world](https://lemmy.world/c/linuxmemes) : Linux themed memes\n
    - [!comicstrips@lemmy.world](https://lemmy.world/c/comicstrips) : for those who love comic stories.
    """
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}
 
"Scheb\TwoFactorBundle\Security\Authorization\Voter\TwoFactorInProgressVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\EntryVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MagazineVoter"
 ACCESS DENIED 
"App\Security\Voter\MessageThreadVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\MessageVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\NotificationVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\OAuth2UserConsentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostCommentVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\PostVoter"
 ACCESS ABSTAIN 
"App\Security\Voter\UserVoter"
 ACCESS ABSTAIN
Show voter details