(Answer only if you’ve ever derived a mathematical proof.) Have you ever “seen” a proof of a theorem in an intuitive flash of insight?
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The breakdown between "yes, after a prolonged period of work" and "yes, almost immediately I understood the problem" is interesting. The latter is usually, IME, a special case of the former, where you luckily happened to do most of the work beforehand.
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I meant “trivial” in the sense of “you may have found it quite difficult but it’s a well known fact that your colleagues/supervisors/teachers think is obvious”
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First time for me was a homework problem in a Kolmogorov complexity seminar. Spent about 10 hours on the proof not getting anywhere, then FLASH OF WHITE LIGHT. Since just a homework problem, trivial in some sense, but the experience seemed remarkable & significant at the time.
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