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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You know a mathematical object by the company it keeps. The yoneda lemma essentially means an object is what it does: See here for better explanation:https://www.math3ma.com/blog/the-yoneda-perspective …
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That and the followup post (with more details) look very interesting!
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