Set Theory - SET

Instructor: Dr. Lajos SOUKUP

Text: The course is based on printed handouts distributed in class.

Prerequisite: Some familiarity with "higher" mathematics. No specific knowledge is expected.

Course description:
This course is designed as an introduction to Axiomatic Set Theory.

Course outline
Logic in nutshell
The first axioms. Relations and functions
Natural numbers. Integers. Rational numbers. Real numbers
Cardinalities. Equinumerosity
Well orders. Ordinals and ordinal arithmetic
Replacement Axiom. Transfinite Recursion
Axiom of Choice. Zorn Lemma. Well-ordering Theorem.
Cardinals and cardinal arithmetic. Alephs.
Learning Outcomes
After successfully completing the course, the student should be able to:
Reference book:
Herbert B. Enderton, Elements of Set Theory

Course Homepage: