2009-10 University Catalog

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MATH 5000 (3). Foundations of Mathematics.
Focuses on foundations used in other graduate courses and for specialization in foundations. Includes equivalence relations, orderings, ordinal and cardinal numbers and arithmetic, axiom of choice; first-order logic, models, truth, compactness and completeness theorems, nonstandard analysis, and infinitesimals; and formulation of Goedel's incompleteness theorem. Prereqs., MATH 3130, 3140, and 4310. Undergraduates must have approval of the instructor. Available: Fall 2009