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Kindly comments on How to cheat Löb's Theorem: my second try - Less Wrong
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Oh, I see. So we can conclude, when we replace K by 15, that "If 1=0 is provable in PPT.2, then 1=0." However, since we're not actually working in PPT.2 anymore -- we've replaced K by 15, which gave us a different proof system -- then we don't get an inconsistency.
Exactly!