I keep trying to get the gist of type theory and it's like eating unflavored jello.
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It seems like a ridiculous amount of machinery for that purpose, though. Particularly as a main motivation for type theory and category theory was to deal with things that are too big to be sets, whereas everything in computation is at most countably infinite.
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I haven't bothered to work through the details, but my working assumption assume if you assume countability it collapses into mathematically trivial (which is why there are no results). It's just notation.
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From contexdt, I think
@st_rev is talking specifically about homotopy type theory. I also don't know if there's a there there, but it's shiny. I seem to remember it at least motivated a new proof of a classic result, but I can't find it... -
Yeah I dunno, there’s so much excitement about it that once every few months I feel like I ought to figure out what it’s about, but every time I spend half an hour looking at it, it seems highly unpromising and I set it aside again.
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