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2026-02-09 16:55:28 UTC
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Jon Sterling on Nostr: nprofile1q…g47dl there is an impredicative encoding. So predicativists do need to ...

there is an impredicative encoding. So predicativists do need to assert them as a basic axiom; predicativists tend to make up for lacking a subobject classifier by taking many very powerful forms of induction as a primitive.

In any case, all these kinds of induction preserve the computational character of the system, which is one dimension of constructivity. The other dimension of constructivity is having sheaf models, which is also trivial.