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Kutta comments on An Introduction to Löb's Theorem in MIRI Research - Less Wrong
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Wasn't Löb's theorem ∀ A (Provable(Provable(A) → A) → Provable(A))? So you get Provable(⊥) directly, rather than passing through ⊥ first. This is good, as, of course, ⊥ is always false, even if it is provable.
You're right, I mixed it up. Edited the comment.