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arxiv: math/9601203 · v1 · submitted 1996-01-16 · 🧮 math.LO

Introduction to mathematical logic - A problem solving course

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keywords logictheoremcoursefirstincompletenessmathematicalarithmeticaxioms
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This is a set of 288 questions written for a Moore-style course in Mathematical Logic. I have used these (or some variation) four times in a beginning graduate course. Topics covered are: propositional logic axioms of ZFC wellorderings and equivalents of AC ordinal and cardinal arithmetic first order logic, and the compactness theorem Lowenheim-Skolem theorems Turing machines, Church's Thesis completeness theorem and first incompleteness theorem undecidable theories second incompleteness theorem

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