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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
2
votes
Accepted
Proving things about a formal logical system
So in a usual mathematical proof you choose some system if axioms from which you prove it. For instance, there are claims about the natural numbers you can prove in ZFC but not from the axioms of Pea …
2
votes
Defining computable functions categorically
I know this is kind of a trivial answer but I think it's relevant if I understood you.
Ultimately (understanding computability as a property of sets of integers), whether or not a set of rationals is …