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"There was a footpath leading across fields to New Southgate, and I used to go there alone to watch the sunset and contemplate suicide. I did not, however, commit suicide, because I wished to know more of mathematics." —Bertrand Russell

I struggle to articulate why, but I just enjoy mathematical thinking and doing math. The rest of the world along with its many stressors and uncertainties simply melts away the moment my mind latches itself onto the next problem. It's therapeutic in a way, like a weighted blanket for the mind. I feel like math is something everyone should do and enjoy because it's inherent to human existence, like art.

When I say I like math, I'm mostly referring to the overarching topics of the math classes I've most enjoyed, like calculus, discrete math, and proofwriting, for example. To me these topics have an allure that is not quite present in more rudimentary disciplines like arithmetic or algebra.

Here is a list, in no particular order, of cool math stuff I think more people should know about.

Buffon's needle problem

Contraposition

Fundamental theorem of calculus

Euler's identity

Miller-Rabin primality test

Pigeonhole principle

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