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LECTURE NOTES IN LOGIC - UCLA Mathematics

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and to prove G˜odel’s Completeness Theorem 1I.1, which is the flrst, fun-damental result of the subject. Along the way to motivating, formulating precisely and proving this theorem, we will also establish some of the basic facts of Model Theory, Proof Theory and Recursion Theory, three of the main parts of logic. (The fourth is Set Theory.) 1A.

  Theorem

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