What is true is that few mathematics professors are willing to confess publicly their private heuristics and intuitions; as Grothendieck once famously lamented, a perverse taboo among them seems to seal their lips on these matters, which, as Leibniz correctly argued, matter most.
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Polya, surely?
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Hugely overrated imo but ymmv
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The thing is, they become more common, the further back in time you go. This is what worries me most: the practice of apprenticeship itself seems to be decaying. Once there were giants: Lefschetz, Zariski, Chern, Bott. Fewer and fewer great mentors now.
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yes, this is my sense too! something very strange seems to have happened to mathematics sometime in the last ~50 years and i wish i knew what
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