Don’t worry about the sun expanding to swallow earth! It will gradually get hotter as the core uses fuel and contracts, rendering earth uninhabitable within just 1b years (if we don’t beat it to the punch)
I used to care for a tree frog with a croak I could mimic. Anytime I was nearby I’d do it and set them off in response. My understanding (which is limited and like 12 years ago) was that I had a male frog who was trying to one up me in response so he would get all the mates
Fun fact: he wanted to study mice breeding but the church said no because it was lewd. If he had he probably wouldn’t have figured things out since mice genetics aren’t as simple as peas.
He also kept bees in the monastery garden and tried to do experiments on them but it wasn’t known back then that bees mate high in the air, so his attempts to breed them were futile. Other monks were often stung or annoyed by the nasty bees so he quit beekeeping.
Source: Mathematics of Life by Ian Stewart. I also visited his museum on Mendel Square, Brno.
Once Upon a Time… The Discoverers ep. 16 also mentioned that the monks were annoyed at eating peas too often but I forgot to ask at the museum if that’s true.
Imagine being the person in charge. You all are bound to celibacy, so you’ve seen and heard hushed tales of all kinds of …interesting side effects from living in that state for years.
This guy walks in and makes his sales pitch. He wants to keep mice in the monestary. And have them get it on. Mostly under his personal observation. For science. Totally not some odd perversion, promise.
I’m wondering, how come studying mice breeding was considered lewd when humans had already been breeding a variety of livestock (and selecting traits at this) for thousands of years?
I think it was just the idea of this friar watching mice fuck seemed pornographic in a way. I don’t think maintaining mice colony was the issue, it was the sex.
That’s if you add two of the same odd number. The more general proof is basically the same though: let n and m be integers, then 2n+1 and 2m+1 are odd. (2n+1) + (2m+1) = 2n + 2m + 2 = 2(n+m+1) which will be even.
Or you can just like, understand that an odd number is one more than an even number so if you add them together it’s two more than an even number, hence even.
Which is the layman’s terms of the proof… I don’t get what your goal is.
Is it a building block for learning to read mathematical works? Yes, of course it is. Is this a ridiculous formalized statement? Yes, of course it is. But that’s the point. We need to practice the trivial to build the scaffolding to tackle the exceptional.
I am not wont to draw conclusions with minimal evidence, but your post seems like you are a malicious reductionist that may be suffering from Dunning Kruger syndrome. I apologize in advance if I have miscategorized you based on this limited sample.
To confirm, you are asserting that the foundation for your answer (mathematical reasoning) does not require any mathematics to understand why it is true.
It’s very dangerous to take a reductionist approach and not be aware of the baked in assumptions you are using. For example, the terms even and odd (for this problem) are well defined as concepts for integers. Which means that your hand-wave statement is true as a result of definitions that were likely created to ensure this property held true.
The notion that “I don’t need math to understand why this is true” is like saying “I made an observation on a phenomenon and I don’t need science to know it’s true.” Which, as you are hopefully aware, is again reductionist and leads to a huge distrust of science from the science illiterate.
I don’t understand what you are trying to say. I just wanted to provide an easier way to reason why it is true, so that people who don’t do math as much as you do could also see the logic behind it. I don’t see how an easy to understand reasoning can be a bad thing?
I mean it’s pretty well explained in the movie that there is actually an entire ecosystem of giant life forms living in the center of the planet, and that they sometimes accidentally find tunnels out into our world, duh! -pushes up glasses on face-
I can’t fucking believe they leaned into that… Like out of nowhere considering Kong island. And still haven’t brought it back up to do anything with it instead of immediately doing a journey to the center of the earth’s sun monster mash.
He also discarded a lot of data that didn’t meet his proposed patterns.
How do we know? Well, wouldn’t it be a nice coincidence if this motherfucker just casually randomly selected 13 different traits that follow simple dominance patterns - but none of the other dozens of traits that do not?
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