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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Replying to @Jonathan_Blow
taking that view to the extreme, *all of math* is essentially a glorified rewriting system
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Replying to @BenHambrecht @Jonathan_Blow
That’s not the whole story. Many areas of mathematics add new words which allow your writing to be more compact or expressive. While compaction primarily allows old ideas to be rewritten more intuitively and succinctly, expression allows us to describe fundamentally new ones.
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Replying to @dbechrd @BenHambrecht
Indeed, a counter example is geometric algebra (not algebraic geometry, sigh), which I really like. It starts out by talking about stuff you already know from linear algebra etc, but has no trouble showing you how you can easily make clean constructions that would be
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confusing and burdensome in the old ways (if you even thought to do them, which you wouldn't). I have never read a GA book that dissolved into trivial details before getting to the point. CT, on the other hand, always seems to, so I feel like there is no there there.
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I mean, there probably is something useful that you get by trying to distill relationships down to their most abstract, but one is also kind of talking about nothing at that point, so ... ??? I would like one of these authors to
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stop trying to be so concerned with sounding smart, and just tell me what the point is, but nobody seems interested. Which makes me think maybe there isn't really a point.
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Jonathan Blow Retweeted Jonathan Blow
In fact, I wonder if Category Theory is what AK Austin was alluding to when he wrotehttps://mobile.twitter.com/Jonathan_Blow/status/1361137779166433281 …
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