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Gödel Without Tears, slowly, 13

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We get today to Chapter 13, called ‘The Diagonalization Lemma, and Rosser’s Theorem’. Not that we actually prove Rosser’s theorem in detail, as this is fiddly. But I do establish the Lemma, show how it can be used to derive the syntactic version of the first theorem again, and I indicate the key construction for getting to Rosser’s theorem. (Looking back at Chapter 12, though, I see that the section which actually proves the first theorem there had become rather oddly arranged: I’ve rearranged a bit, separating out the theorem from a couple of corollaries worth remarking. So I’ve included a revised Chapter 12 too.) The post Gödel Without Tears, slowly, 13 appeared first on Logic Matters.

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