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  • I just can't make heads nor tails out of what category theory even is!
    • I think I just about understand what it is by now, but not well enough to be able to explain it snappily.

      It's a little like abstract algebra, except more abstract and less algebraic. It's a formalism used for making precise analogies between superficially unrelated mathematical theories.

      Joseph Goguen has a nice paper A Categorical Manifesto [], which explains clearly and convincingly why category theory is useful in computer science.

      John Baez says (in this [] web page):

      "If we try to generalize the heck out of