Is there math that goes far beyond that which is taught at graduate school? If so, how much? Is it likely that a mathematician will run out of problems to solve and theorems to prove in his or her lifetime?

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- December 10th 2011, 07:40 PMRogueDemonHow much math is there to know?
Is there math that goes far beyond that which is taught at graduate school? If so, how much? Is it likely that a mathematician will run out of problems to solve and theorems to prove in his or her lifetime?

- December 11th 2011, 07:43 PMModusPonensRe: How much math is there to know?
When Stanislaw Ulam was alive, the rate of theorems that were published per year was 200 000. This, I think, was in the 70s. Today it's a larger number for sure. Now imagine the amount of mathematics there is out there. Just from 1975 to 2011 there were 7 200 000 theorems published.

- December 11th 2011, 10:49 PMDrexel28Re: How much math is there to know?