It's so funny to me that people think of Math/Mathematicians as being hyper-logical and rational. Like, have you seen some of the wild things hiding in the Math?
Did you know there are non-computable numbers?? (https://en.wikipedia.org/wiki/Chaitin%27s_constant)
Did you know that there are things that are true, but we can't prove them??? (https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems)
Did you know that we can prove that something exists, and yet never actually figure out what that thing is?? (https://mathworld.wolfram.com/NonconstructiveProof.html)
Math is crazy. Math is wild. Math hardly makes sense, and when you think you understand the weirdest parts of it, everyone who hears you explain it to thinks you're a gibbering lunatic.
"In mathematics you don’t understand things. You just get used to them." - von Neumann
(please share more unhinged math with me, i want to see more scary math)
this equation is NOT cute. numbers actually hate being under a square root symbol and it distresses them
Things my extremely Italian physics professor has said:
“If you are walking in the woods nearby Chernobyl, you will probably be fine. But if you pick something up off the ground and eat it, you will die of radiation poisoning. Of course you may die if you eat things from the ground in other places, also, but likely not of radiation.”
“Unfortunately there is nothing I can teach you that will prevent you dying if there is on your house a hydrogen bomb. That is a politician problem. If any of you are president later, please do not hydrogen bomb my house.”
“Radioactivity could perhaps be used by terrorists, but it has not yet. Likely this is because terrorists do not study much physics.”
“Why is it that physics graduate students cannot make a nuclear bomb? It is not that they do not want to. They simply have not the money to buy the materials. Or anything else.”
“Suppose, god forbid, that you find yourself as a physicist…”
I love my pure lecturers
one of the biggest things I can advocate for (in academia, but also just in life) is to build credibility with yourself. It’s easy to fall into the habit of thinking of yourself as someone who does things last minute or who struggles to start tasks. people will tell you that you just need to build different habits, but I know for me at least the idea of ‘habit’ is sort of abstract and dehumanizing. Credibility is more like ‘I’ve done this before, so I know I can do it, and more importantly I trust myself to do it’. you set an assignment goal for the day and you meet it, and then you feel stronger setting one the next day. You establish a relationship with yourself that’s built on confidence and trust. That in turn starts to erode the barrier of insecurity and perfectionism and makes it easier to start and finish tasks. reframing the narrative as a process of building credibility makes it easier to celebrate each step and recognize how strong your relationship with yourself can become
The thing about the philosophy of mathematics is that there's no articulable position so absurd that some influential mathematician hasn't genuinely held to it. You 100% cannot troll these people; you could walk up to a mathematician and say "I'm a radical finitist, I reject the existence of all numbers larger than 1", and not only would that turn out to be a real thing, some maniac has worked out how to construct set theory under its constraints.
My favorite example of girl math is when David Hilbert and Albert Einstein couldn't solve how energy conservation worked in general relativity, so Hilbert asked Emmy Noether about it and she solved it for them.
My latest cartoon for New Scientist
Here's the link to the video
👏 SAY 👏 IT 👏 LOUDER 👏