MATH 489 - Axiomatic Set Theory

Set theory serves as a foundation for all of mathematics, in the sense that all of the objects and constructions of mathematics can be expressed in terms of sets. It was discovered over 100 years ago, however, that intuitive set theory is riddled with contradictions. This course introduces students to the axioms of Zermelo-Fraenkel set theory, which restrict the ways in which sets can be formed, in the hope of avoiding the contradictions. Topics include the Zermelo-Fraenkel axioms and some of their consequences; well-orderings and various statements equivalent to the axiom of choice; and ordinal and cardinal numbers.

Credits: 1.00
Prerequisites:

MATH 375

with a grade of B or higher
Major/Minor Restrictions: None
Class Restriction: None
Area of Inquiry: Natural Sciences & Mathematics
Liberal Arts CORE: None
Formerly: MATH 389

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