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2025-06-26 18:55:12 UTC

julesh on Nostr: As far as I can tell, HoTT is about making types into (∞,0)-categories (aka ...

As far as I can tell, HoTT is about making types into (∞,0)-categories (aka ∞-groupoids), and the directed HoTT folks want to make types into (∞,∞)-categories (aka ∞-categories), but I reckon you could already get a lot of mileage if you could make types into (∞,1)-categories (aka categories, up to the amount of weakness I expect to be necessary in type theory). And that sounds probably a bit easier.