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Somewhat related... Braess's Paradox. Take the toy example illustrating that paradox ( https://en.wikipedia.org/wiki/Braess%27s_paradox#Mathematica... ) and an enlightened Google m…

The thing that puts Tao in that upper echelon of mathematicians is his ability to solve unsolved problems and create new mathematics. Those aren't really the skills being tested on…

You can flip this argument around for the person buying the house, though, so it doesn't really work. What if the house didn't sell for $1m less? Then those new buyers just lost an…

Coxeter groups are fun. I took it as a graduate course, but honestly you can get pretty far (and we did) just using elementary proof techniques that a 1st or 2nd year undergrad cou…