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bartoszmilewski.com | ||
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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. | |
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www.jeremykun.com
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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? | |
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blog.hde.design
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bartoszmilewski.com
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| | | Abstract: I derive a free monoidal (applicative) functor as an initial algebra of a higher-order functor using Day convolution. I thought I was done with monoids for a while, after writing my Monoids on Steroids post, but I keep bumping into them. This time I read a paper by Capriotti and Kaposi about Free Applicative... | ||