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Stuart_Armstrong comments on The Cartoon Guide to Löb's Theorem - Less Wrong
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You're confusing consistency with a proof of consistency.
Theorem 56: Consistency implies no proof of consistency.
Which is of course where you get:
Proof of consistency implies inconsistency.
Which gives you:
Proof of consistency implies anything.
I think you're right.... I was commiting the same mistake is above, using the first derivability condition and assuming that Peano arithmetic could treat it as a statement in Peano arithmetic - which it isn't.