this post was submitted on 21 Aug 2025
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i think that if more people were exposed to advanced math there would be a reactionary trend of people going around and asking mathematicians “what is a number?”
I believe that's what happens anytime they say that we probably shouldn't focus on memorizing a multiplication table, or try to teach anything in a way that puts more focus on understanding how numbers work than on symbolic memorization.
And that's like... Elementary school.
I was going to make a comment about surreal numbers not being numbers. But I did a bit of fact checking and it looks like all of the values I was objecting to are not considered surreal numbers, but rather pseudo numbers.
I find this outrageous. Why can't ↑ be a number? What even is a number that would exclude it and leave in all of your so-called numbers?
Axioms. https://en.m.wikipedia.org/wiki/List_of_axioms
Where in those axioms does it say that ↑ = {0|∗} = {0 | {0|0} } is not a number? No where, that's where!
The actual reason that ↑ is simply that it is too ill behaved. The stuff I thought were the "numbers" of combinatorical game are actually just called Conway games. Conway numbers are defined very almost identically to Conway games, but with an added constraint that makes them a much better behaved subset of Conway games.
I suppose you could call this an axiom of combinatorical game theory; but at that point you are essentially just calling every definition an axiom.
sort of like the reactionary trend of pulling your kids out of school because Common Core has changed how math is taught so critical thinking and conceptual understanding is incorporated, rather than teaching math by rote memorization?
I'm shocked that the US only adopted this in 2009. I'm pretty sure my mum, who went to primary school in the 70s, recognized number lines when I was taught to use them on 2005ish. I'm having a hard time imagining how else you'd explain it.
First you make them memorize single digit subtraction X - Y where X >= Y. Then you extend that to small double digit numbers.
Then you teach "borrowing". 351-213. Subtract the 1s column. Can't take 3 from 1, so borrow 10 from the 5 in the 10s column, making 11 in the 1s column and 4 in the 10s.
Definitely more clear, right?
look, we work very hard on being reactionary here in the U.S., we're a world leader in reactionary politics, and not teaching math well is crucial to keeping a vibrant ~~slave~~ worker population, otherwise they might start, you know, thinking for themselves
There is a slight difference though in that complex numbers are a part of math but gender isn't really a part of biology.
Also the mathematicians wouldn't decline to give an answer.
Are you sure? I only minored in math, but even I would struggle to provide an answer to this. It would have to be something incredibly vague, like "a number is a mathematical object that has certain consistent properties relevant to the field of study." Because otherwise you get situations like "is infinity a number?" and you can't answer categorically, because usually it's not, but then you look at the transfinite numbers where you can indeed have omega-plus-one as a number. And someone asks if you can have an infinite number of digits to the left of the decimal place, and you say "well, not in the reals, but there are the P-adic numbers..." and folks ask if you can have an infinitely small number and you say "well, in the reals you can only have an arbitrarily small number, but in game theory there are the surreal numbers, where..."
So yeah, I'm not sure "what is a number" is even a math question. It's more a philosophy question, or sometimes a cognitive science question (like Lakoff and Nuñez's "Where Mathematics Comes From").
Gender isn’t part of biology (as a social construct) but the complexity of sex absolutely is.
Can confirm. I was already struggling. But I just straight up refused to math with i
have you taught?
anytime you give people a new metaphorical hammer, they want to go around banging everything they can with it. then they get bored and forget about it.
pop psych is a great example. people love to go around diagnosing everyone with whatever new schema of diagnosis is popular and trendy. trans is very trendy right now and it's become on point for kids to identify as trans or some other non binary sexual identity. whether or not it sticks in the future, not sure. there is a counter-movement as well towards reinforce trad gender binaries in the dating sphere for sure. i've noticed as i age that a lot more people start caring a lot more about trad gender role stuff than they did in my 20s.
Ehh not really its just to old if a concept for us to be appaled by that. Its not 15 century for imaginary numbers to cause riots.