Mathematics

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The vulnerability of proofs

At 21:28 of Jacob Tsimerman's interview with Curt Jaimungal, he says "already now, alot of my theorems that I have proven, I don't understand all...

Hit my peak motivation in math at 18, but severe loneliness and wanting the past back has me feeling hopeless.

I am an 18-year-old, and since I was 15, my biggest passion and motivation in life has been to discover something genuinely new in math...

Advances in Pure Mathematics in the Twentieth Century

[Warning: non-mathematician here, apologies if I'm trespassing, but this seemed like the right place to ask the question.] I've heard it referred to many times (although...

At what threshold can a mathematician truly claim they "understand" a branch of mathematics?

Ive been thinking about the epistemological boundary of what it actually means to know or understand a specific domain of mathematics. Excluding elementary arithmetic (which...