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I am interested in AI and seeing myself doing research in that field in the future. On that road I have choosen to studying alot of mathematics (currently only algorithms, calculus, lin algebra ) but my degree has alot of math coming at me soon. I started to think about the 'nature' of mathematics, and what kind of intelligence it requires. Currently our computers are doing MASSIVE calculations, far beyond what a human ever can do. But is there any mathematics a machine cannot do? More precisely, what is the difference between the mathematics that math researchers do and the mathematics computers currently rule?

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closed as not constructive by Qiaochu Yuan Oct 13 '12 at 19:25

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