For me, the most surprising results when I first learned them were the Dold-Kan correspondence (connective chain complexes in an Abelian category are equivalent to simplicial abelian groups there), Tannaka duality (the automorphisms of the forgetful functor from a category of modules over some algebra arrange themselves into that algebra), Pontrjagin duality (discrete abelian groups are dual to topological abelian groups), the geometric Langlands correspondence (number fields behave a lot like function fields, geometrically), arithmetic topology (links in the 3-sphere behave much like ideals in Q), and the Goodwillie calculus (pointed homotopy types behave quite similarly to formal power series).
Your prose has all the convolution of Joyce without any of the charm
Zachary Garcia
Are you trying to tell me you've never learned an interesting thing from all the literature you've read?
Luke Morgan
So you came here to humblebrag about some inane shit ? grow up son
Camden Morris
No. I came here to make a thread asking about interesting things people have learned. I assumed there would be people here that read Non-fiction books.
Jason Gray
I learned that women suck shit from Schopenhauer's 'On Women'.
Brandon Rogers
Pure mathematics is the epitome of useless autism
Christopher Allen
Most of the conveniences you enjoy were/are heavily dependent on mathematics. you wouldn't be able to expound your retarded opinion on the internet were it not for mathematics.
Julian Miller
Autistic shit Get some real education.
Nathan Hill
What is real education? Can you give an example?
Colton King
Why don't you go spout your Ted Kaczynski shit over on Veeky Forums? I'm sure you'll be more welcome there...
Gabriel Johnson
i got a laugh outta this fuck these fags good work keep your dick up and cum on my face jesus you faggot not like that kys you degenerate
Anthony Campbell
I don't think this is the right place to talk about group theory, topology or whatever.
For all my Veeky Forums friends: don't feel bad, those are just some stupid concepts and theorems/corollaries that you learn in advanced math courses. Goodwillie calculus for instance is Ayn Rand-tier.
But if any of you actually want to understand what OP is saying (although I bet he also has no clue about some of this shit), start with Artin's Algebra book, than move to some more specific group theory stuff. It is quite interesting if you are into philosophy.
Jack Robinson
>For all my Veeky Forums friends: don't feel bad
Burst into laughter.
Nathan Sanders
L this pretentious type of philosophy reminds me of dfw describing himself as a "98.6f calculating machine" and a "hardcore syntax wienie" even though he wasnt even good at maths
Caleb Martinez
I was kranfrumbulated to elicigrape the Hamfrible-Popodoukas dialaprotheorum.
Ethan King
I learned that Veeky Forums is a culture that should be burned to the ground.
But every time someone tries the ash just fertilized the soil and the cancer sprouts stronger
Evan Perez
That cooking soup is a great time to boil an egg without extra dishes.
