MAT 3200 - Introduction to Set Theory

4 Credit(s) Hours: 4 hrs.

The course covers the discovery of basic properties of infinite sets and the historical development of Set Theory as the foundation of mathematics. Topics will include the foundational role of sets in mathematics, well-orderings, ordinals, cardinals, power sets and Cantor’s theorem, Continuum Hypothesis, early set theoretic paradoxes, the Zermelo-Fraenkel axioms, Axiom of Choice, Von-Neumann’s cumulative hierarchy of sets, and Gödel’s first Incompleteness Theorem.
Prerequisite(s): MAT 1400 with a grade of “C” or better
Department: Mathematics and Computer Science