Most scientific & mathematical disciplines I know of have results that educated outsiders can appreciate and go "wow" after a brief acquaintance, even without understanding the details. Does anyone know of such a result for category theory?
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Note the word "brief" here. This request is easily fulfilled for fields ranging from linguistics to algebraic geometry to general relativity to molecular biology. Curious if there is such a result for category theory.
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Eg general relativity: gravitational lensing, the existence of black holes, the fact the planets are really going in "straight lines" (geodesics) around the sun, in the right geometry... each has a great 2-minute explanation. (And dozens of other phenomena, too.)
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Replying to @michael_nielsen
Relevant Chomsky quote: https://www.stephenhicks.org/2013/11/27/chomsky-on-postmodernism/ …
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Yes, I think often of the start of that Chomsky note (it's attributed, AFAIK) when someone waxes poetic about category theory. But see my more positive remarks elsewhere in this thread.
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