A new & peculiar essay, on a (very!) unusual approach I've been using to deepen my understanding of mathematics: http://cognitivemedium.com/srs-mathematics
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I was reminded of "When is one thing equal to some other thing?" But this is by Barry Mazur rather than Kolmogorov and is from 2007.. http://www.math.harvard.edu/~mazur/preprints/when_is_one.pdf …
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A quick glance suggests that's a really good essay, thanks!
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It has many nuggets. Kolmogorov didn't like the competitive aspects of olympiad contests because so many important mathematical results require "deep contemplation".
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