Also Grothendieck Was Cool And All But I Feel Like His Work Wouldve Been A Lot More Respectable If He

also grothendieck was cool and all but i feel like his work wouldve been a lot more respectable if he didn't insist on writing it in his stupid made up fantasy language. like "catégories abéliennes", "les foncteurs dérivés", "un espace topologique muni d'un faisceau O d'anneaux avec unité", none of these are real fucking words what the fuck are you talking about

I feel like communism would work if it was just autistic people

Bitches love me for my proofs of formal equivalence between two seemingly unrelated things

I love 6 and 7

6 because seximal obv

and also because when I was in the army and had to find something to occupy myself that wasn't the "how to commit genocide™" lessons, I did long calculations on the collatz conjecture in seximal

this helped me find some very simple patterns in the collatz conjecture, because it deals with multiplication and division using 2 and 3

7, just because it's such a weird number. it's the smallest number in base ten that doesn't have an "easy" divisibility test (a number n is divisible by seven when (n//10)-2(n%10) is). the next number with a hard divisibility test is 13, which is almost two times as large (13 divides n if it divides (n//10)+4(n%10)). after 13, the next number that's hard to check divisibility for is 14; I think that emphasises how out of place this property is relative to how small 7 is.

(relatedly, the decimal expansion of 1/7 is .142857(and repeating), which uses every digit at most once per repeat, and misses only the multiples of 3 - 0,3,6,9; idk why that happens but it's cool)

I just love how six is, in a sense, the most highly divisible number relative to its size, and is followed by the first number that's highly nondivisible

I don't have anyone specific to @ but everyone is welcome to share theirs too :)

(edit: honorable mentions to 12 and 89 which were already taken but I wanted to add that 12²=144 is the only square fibonacci number [0 and 1 are trivial]; and also 89 is a fibonacci number and 1/89 = 0.011235... is the fibonacci sequence as a decimal number! it kinda breaks down when you get to double digits but still!!)

(edit 2: I had a whole two paragraphs about base 7 expansions of fractions but then I realised my main point is wrong and deleted it lol)

Hey, these tag games seem fun. I want to make one too. Let's see, reblog with tagging some of your mutuals and uuuh... your favorite number (yea that will be fun)

Mines 12, such beauty, almost the ideal for sharing in small groups. Divisible by 2, 3, 4, 6 and 12. 12²=144 another banger. I could go on.

Tagging @treepyro @ostrigjpg @ahamkaracature

The pigeonhole principle: If you have n pigeons and n+1 holes, then there must be some pigeon with at least two holes in it. That poor pigeon. Don't ask me why they made this principle so gruesome.

It's hypothetically possible that I may have mixed up the order, but ehhhh, whatever.