MATH 561

Introduction to Mathematical Logic

University of South Carolina-Columbia · UGRD · Fall 2026

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Syntax and semantics of formal languages; sentential logic, proofs in first order logic; Godel’s completeness theorem; compactness theorem and applications; cardinals and ordinals; the Lowenheim-Skolem-Tarski theorem; Beth’s definability theorem; effectively computable functions; Godel’s incompleteness theorem; undecidable theories.

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Class #south_carolina_columbia-MATH561Fall 2026UGRD3 credits
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