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blog.hde.design
| | rakhim.org
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| | [AI summary] A summary of Bartosz Milewski's talk exploring the equivalence between type theory, logic, category theory, and computer science through concepts like composition, Curry-Howard isomorphism, and continuations.
| | www.jeremykun.com
3.0 parsecs away

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| | Last time we worked through some basic examples of universal properties, specifically singling out quotients, products, and coproducts. There are many many more universal properties that we will mention as we encounter them, but there is one crucial topic in category theory that we have only hinted at: functoriality. As we've repeatedly stressed, the meat of category theory is in the morphisms. One natural question one might ask is, what notion of morphism is there between categories themselves?
| | bartoszmilewski.com
3.9 parsecs away

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| | This is part 15 of Categories for Programmers. Previously: Representable Functors. See the Table of Contents. Most constructions in category theory are generalizations of results from other more specific areas of mathematics. Things like products, coproducts, monoids, exponentials, etc., have been known long before category theory. They might have been known under different names in...
| | thebreakfastpost.com
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| In a bid to expand my programming brain by learning something about "dependent types", I recently bought the Idris book. (Idris is a pure functional programming language that is mostly known for supporting dependent types. Not knowing what that really meant, and seeing that this recently-published book written by the author of the language was...