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MATH 770

FOUNDATIONS OF MATHEMATICS

3 credits.

First-order logic syntax and semantics, Completeness and Compactness Theorems, Lowenheim-Skolem Theorem, computable and computably enumerable sets, Incompleteness Theorem, axioms of Zermelo-Fraenkel set theory with choice, ordinal and cardinal arithmetic.

Prerequisites & course information

Requisites: Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program Course Designation: Grad 50% - Counts toward 50% graduate coursework requirement Repeatable for Credit: No Last Taught: Fall 2026

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