and then all these books are just listing out what that looks like, or is there really a separate body of ideas about something that isn't already covered everywhere else?
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I have tried to read several books about category theory, but they all appear to dissolve into lists of trivial details before they ever clearly say anything new or powerful. Is category theory really just the idea "hey we can draw equations in 2D instead of 1D",
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(Not to discount the potential strength of the idea of doing equations in 2D, it's just, everyone seems to be claiming it's more than that, but I don't see it, and I am trying).
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I'm a) an academic b) familiar with CT c) involved in high-performance compiler research d) sympathetic to your software/compiler approach. CT is extremely useful and should not be dismissed, but I'd agree that in "normal" software its usefulness is limited.
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Useful how?
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I mean without a strong mathematical background would you expect to be able to understand e.g. algebraic topology?
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I quite enjoyed Mac Lane’s « Categories for the working mathematician » and go back to it often. It’s a classic so you may have already read it
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On its own, it's effectively the formalization of the generalization of functions. The notation is useful in domains such as group theory. That's about it.
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It's just showing functional relations of functions, which requires another dimension. So your main comment is pretty much it.
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@TWakalix I gather you're adjacent to this sorcery. Any insight on this? Because this has been kind of a sticking point for me, too.Thanks. Twitter will use this to make your timeline better. UndoUndo
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I had a similar experience with an MIT course. I watched the first 12 but, in spite being very promising, they never showed something concrete before I lost interest. I'm still curious to see a powerful example. Please share!https://youtu.be/NUBEB9QlNCM
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