Today’s read. Thanks to @divbyzero and @MathPrinceps for the recommendationpic.twitter.com/vrUWQbSwQc
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"For me, reliable precision comes only after finding a good overall mental model." ~ William Paul Thurston
"It is a mistake to identify research in mathematics with the process of producing proofs. In fact, one could say that all the really creative aspects of mathematical research precede the proof stage." ~ Sir Michael Francis Atiyah
Start at 44:00 here for a favorite quote of mine from Rene Thom: "Anything which is rigorous is meaningless" (he says it in French first, but I can't make out the words):https://vimeo.com/127338218
Ramanujan had a lot of trouble proving his formulae!
Just as native speakers often have a lot of trouble enunciating the rules of grammar and syntax that govern their language of birth. It's also worth thinking about the difficulties of explaining exactly how to walk. We are masters of many skills whose explication is beyond us.
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