Surprised and grateful that so many of you have shared your experience of mathematical imagery! Fascinating both the differences and the commonalities.
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Maybe personal accounts of mathematical experience can lift the cloud of collective ignorance and empower us all! (Like when decent sex manuals first became available in the 1970s? Revolution in enjoyment for millions, apparently)https://twitter.com/MathPrinceps/status/1189938823397965824 …
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for me a big part of the appeal of talking about math on the internet was that i could fully justify everything i said (with proof), and talking about intuitions and/or the phenomenology of math is much less justifiable in this sense, v. different kind of conversation
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Yet more embarrassing: how some structures and operations are more beautiful and pleasurable to imagine. I like partial orders, lattices, categories—structured webs of strands with easy movement, like circulatory systems.
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