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I think this goes triple for mathematics. When people say that I'm good at math, I sometimes tell them, "Well, you know, I've been studying math and little else

I think this goes triple for mathematics. When people say that I'm good at math, I sometimes tell them, "Well, you know, I've been studying math and little else for the majority of the past ten years. Almost anyone who works at something that long eventually gets the hang of it."

_delirium 16y ago
Hmm, of the mathematics grad students I've met, I don't actually notice a huge correlation between diligent, hardworking students and the most successful students. Some of the most diligent are just... not great at coming up with independent, novel mathematics, though they can do okay on exams. And there are some vaguely slackerly types who do great, novel work. Of course, some effort is a prerequisite, so the most slackerly just fail out of grad school entirely. But past some threshhold sufficient to be able to do the work at all, it sure looks like some sort of natural talent, or aptitude acquired at a previous stage of life, is what differentiates the mediocre from the great grad students. I can't say for certain, but unless I know totally unrepresentative people, it doesn't seem to be a matter of who puts in 80 hrs/wk versus 40 (or even 30); some of those on the low end of hours spent are very good and produce impactful theses, while some who work all the time are just not great at it.