You probably missed the part where the article talks about university level math, and that strong juxtaposition is common there.
I also think that many conventions are bad, but once they exist, their badness doesn’t make them stop being used and relied on by a lot of people.
I don’t have any skin in the game as I never ran into ambiguity. My university professors simply always used fractions, therefore completely getting rid of any possible ambiguity.
I would also add that you shouldn’t be using a basic calculator to solve multi part problems. Second, I haven’t seen a division sign used in a formal math class since elementary and possibly junior high. These things are almost always written as fractions which makes the logic easier to follow. The entire point of working in convention is so that results are reproducible. The real problem though is that these are not written to educate anyone. They are deliberately written to confuse so that some social media personality can make money from clicks. If someone really wants to practice math skip the click and head over to the Kahn Academy or something similar.
unregulated anarcho-free market capitalism. THAT’S the problem.
In a real free market, the banks that committed so much fraud in 2008 that they crashed the economy wouldn’t have gotten bailouts.
GM and ford both went bankrupt multiple times from their own greed and stupidity. In a real free market, they wouldn’t have gotten bailouts. Or the airline companies, no bailouts for them in a free market either.
that wouldn’t be a free market. The idea of a free market means that working hard makes you go farther. But our economy punishes hard work and rewards constant failure.
I understand what you’re saying, but what a free market is supposed to be on paper isn’t what we have. What we have is an oligarchy dicatorship.
No, in a real free market the banks would lobby to be bailed out. Removing even more regulation from it would result in more lobbying. Even with anti-corruption measures, without worker ownership or massive Unionization, eventually these protections will slide back once someone more opportunistic takes office.
Worker Ownerhship and decentralization are the correct path, rather than antidemocratic Capitalist production.
Also PIMDAS (we had this conversation in my class this semester as we had a very wide range of ages and regions present in the class) (I is for indices) (I don’t remember what the Colombian students said, for some reason we had a group of 3 Colombians in our class of 12 nowhere near Colombia)
That said, the question is ambiguously written. Maybe the popularity of this will result in calculators being more consistent with how they interpret implicit multiplication signs.
(my preference is to show two lines, one with the numerator and one with the divisor)
Having read your article, I contend it should be:
P(arentheses)
E(xponents)
M(ultiplication)D(ivision)
A(ddition)S(ubtraction)
and strong juxtaposition should be thrown out the window.
Why? Well, to be clear, I would prefer one of them die so we can get past this argument that pops up every few years so weak or strong doesn’t matter much to me, and I think weak juxtaposition is more easily taught and more easily supported by PEMDAS. I’m not saying it receives direct support, but rather the lack of instruction has us fall back on what we know as an overarching rule (multiplication and division are equal). Strong juxtaposition has an additional ruling to PEMDAS that specifies this specific case, whereas weak juxtaposition doesn’t need an additional ruling (and I would argue anyone who says otherwise isn’t logically extrapolating from the PEMDAS ruleset). I don’t think the sides are as equal as people pose.
To note, yes, PEMDAS is a teaching tool and yes there are obviously other ways of thinking of math. But do those matter? The mathematical system we currently use will work for any usecase it does currently regardless of the juxtaposition we pick, brackets/parentheses (as well as better ordering of operations when writing them down) can pick up any slack. Weak juxtaposition provides better benefits because it has less rules (and is thusly simpler).
But again, I really don’t care. Just let one die. Kill it, if you have to.
It’s like using literally to add emphasis to something that you are saying figuratively. It’s not objectively “wrong” to do it, but the practice is adding uncertainty where there didn’t need to be any, and thus slightly diminishes our ability to communicate clearly.
I think anything after (whichever grade your country introduces fractions in) should exclusively use fractions or multiplication with fractions to express division in order to disambiguate. A division symbol should never be used after fractions are introduced.
This way, it doesn’t really matter which juxtaposition you prefer, because it will never be ambiguous.
Anything before (whichever grade introduces fractions) should simply overuse brackets.
This comment was written in a couple of seconds, so if I missed something obvious, feel free to obliterate me.
It’s also clearly not a bug as some people suggest. Bugs are – by definition – unintended behavior.
There are plenty of bugs that are well documented. I can’t tell you the number of times that I’ve seen someone do something wrong, that they think is 100% right, and “carefully” document it. Then someone finds an edge case and points out the defined behavior has a bug, because the human forgot to account for something.
The other thing I’d point out that I didn’t see in your blog is that I’ve seen many many people say they need to evaluate the 2(3) portion first because “parenthesis”. No matter how many times I explain that this is a notation for multiplication, they try to claim it doesn’t matter because parenthesis. screams into the void
The fact of the matter is that any competent person that has to write out one of these equations will do so in a way that leaves no ambiguity. These viral math posts are just designed to insert ambiguity where it shouldn’t be, and prey on people who can’t remember middle school math.
Regarding your first part in general true, but in this case the sheer amount of calculators for both conventions show that this is indeed intended behavior.
Regarding your second point I tried to address that in the “distributive property” section, maybe I need to rewrite it a bit to be more clear.
If only. Democrats are historically milquetoast in response to Republicans.
This charade has been going on for 40-some years or more. At least since the likes of Reagan and Gingrich.
The court could go out of their way to rule on the case and make sure it only applied to Trump and only in this instance.
Just because the Democrats are suddenly given power doesn’t mean they will use it to stop fascism. Sadly, too many in the Democratic party are invested in the US Empire to just let go of how things currently work. Their long inability to act is literally why we are at the precipice of fascism fully taking over. The Democrats fell in line with Bush’s illegal war in Iraq, and they declined to do anything about the fact that Bush, Cheney, Rumsfeld & Co. signed off on torture. We’re about to have Trump as a Dictator because we refused to do anything about leaders who were and are war criminals. People expecting Biden to do something, even if it is ruled in his favor, are waiting in false hope, imho.
EDIT: To be clear, I’d be ecstatic to be proven wrong, honestly. It would be nice to see Democrats really stand on the right side of history, not just partially or out of convenience.
This meme is explicitly about the President committing crimes and getting away with it. I don’t think this is something you want, whether the President’s a Democrat or a Republican.
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