Functor Fact
@FunctorFact
Functional programming and category theory tweets from @JohnDCook
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Saunders Mac Lane said that he invented category theory to make precise what it means for a construction to be 'natural.'
You can think of Hom(X, A) as 'A as viewed from X.' By the Yoneda lemma, two objects are the same if they look the same from all viewpoints.
Categorification of Fourier Theory youtu.be/w3f8KEcv4RE
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Categorification of Fourier Theory
Physics, Topology, Logic and Computation: A Rosetta Stone arxiv.org/abs/0903.0340
“The notion of stacks came up in the sixties. But to swallow schemes was already enough for one generation of mathematicians.” — Gerd Faltings
Roughly speaking, 'natural' means 'defined without arbitrary choices.' Making this rigorous was the early motivation for category theory.
You don't have to use a functional programming language to practice functional programming, though it helps.
Stephen Diehl (@smdiehl) 'What I wish I'd known when learning Haskell' dev.stephendiehl.com/hask/
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