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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.

11 votes

Programming Languages Based on Category Theory

All of the answers so far are based on Cartesian closed categories. There are a few languages based on Cartesian categories, which reject use of higher-order functions in the base language: The key …
7 votes
Accepted

Is there a relationship between model theory and category theory?

Between model theory and category theory broadly conceived: not anything really compelling, because a category, on its own, does not stand as an interpretation for anything. Between model theory and …
Charles Stewart's user avatar
3 votes
Accepted

Can infinite first-order categories be specified other than as categories of models?

Sure, by direct construction. Rings, preorders, the category of paths of a given graph, etc. But that's not what you wanted to know, is it?
Charles Stewart's user avatar