MATH-UA 232 Set Theory

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4 credits. Offered at the discretion of the Department of Philosophy.

Course Description

Among the topics to be covered are: the axioms of set theory; Boolean operations on sets; set-theoretic representation of relations, functions and orderings; the natural numbers; theory of transfinite cardinal and ordinal numbers; the axiom of choice and its equivalents; and the foundations of analysis. If time permits we may also consider some more advanced topics, such as large cardinals or the independence results.

Prerequisites

Students must have a declared major at the Math Department to be able to register for MATH-UA 232.

Non-math majors will not be able to register for MATH-UA 232 and should register for PHIL-UA 73 instead.