Answer by Lee Mosher for How are (small) categories defined using set theory?
Your speculations about how one can formalize the axioms of a category are kind of interesting, although they differ somewhat from the details of how that formalization is actually carried out.Let me...
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A category consists of a collection of objects and a collection of morphisms such that any morphism has a specified domain and codomain, there is the identity morphism for every object and such that...
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