As far as I can tell, the whole job of mathematics professors is to obfuscate the fact that this is a thing.
@DRMacIver is a computer scientist and hasn’t been forced to take the sacred vows of silence. Yet. They won’t let him go much furtherhttps://twitter.com/DRMacIver/status/1189827287748927488 …
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Honestly, what impresses me most is how profoundly the attitudes of great masters vary from art to art. Itzhak Perlman, Emanuel Ax, Midori -- all have put a great deal of effort into transmitting their tacit knowledge. The number of great mathematicians who do likewise?
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Zero, I think. Rota and Thurston are partial exceptions. Any others?
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I agree with what
@DRMacIver is saying here. Decompiling internal representations is a different (and arguably more difficult!) skill from developing and using them, a given skilled mathematician is not necessarily that good at it, and may believe it to be pointless. -
Yes, although, why are mathematicians so much less willing to do this than masters in other fields with tacit knowledge?https://twitter.com/MathPrinceps/status/1189946692889534464 …
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I think the best strategy would be to put them in a room with a few kids of my acquaintance, and then just listen in. The kids I know have an almost magical effect on these people. And because you can't speak to kids in technical mumbo-jumbo, you have to reveal yourself.
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