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Every child is a gifted child.
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MacPherson told me that my theorem can be viewed as blah blah blah Grothendieck blah blah blah, which makes it much more respectable.
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I think some intuition leaks out in every step of an induction proof.
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Coming up with the answers quickly and accurately is what counts the most.
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What promotes math progress even more than new ideas are new technical tools and habits of thought that encapsulate existing ideas, so that insights of one generation become the instincts of the next.
