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Apr 20, 2024
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MATH 6750 - Set Theory
Introduction to axiomatic set theory; ordinals and cardinals; equivalents of axiom of choice. Introduction to combinatorial set theory.
Requisites:
Credit Hours: 4
Repeat/Retake Information: May not be retaken.
Lecture/Lab Hours: 3.0 lecture
Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
Learning Outcomes:
- Students will be able to carry out computations using the arithmetic of infinite cardinals and ordinals.
- Students will be able to formulate inductive arguments using transfinite ordinals.
- Students will be able to prove the equivalence of several forms of the Axiom of Choice.
- Students will be able to prove theorems using the axioms of ZFC and its extensions.
- Students will be able to use set-theoretic language to codify mathematical objects.
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