Why Category Theory is Uniquely Meta-Reflective

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Category theory allows you to walk up and down abstraction levels using the same constructions.

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It’s self-similar:

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Categories have morphisms

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Categories themselves are objects in Cat

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Functors are morphisms in Cat

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Natural transformations are morphisms between functors

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This continues into 2-Cat, n-Cat, ∞-categories

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You can model structure about structure without leaving the language of categories.

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