Set Theory

5 credits

Course, Bachelor's level, 1MA031

Spring 2024 Spring 2024, Uppsala, 33%, On-campus, The course will be taught in English, if needed Only available as part of a programme

Spring 2024 Spring 2024, Uppsala, 33%, On-campus, The course will be taught in English, if needed For exchange students

About the course

Set theory is a part of mathematical logic. The course covers: Paradoxes. The cumulative hierarchy. The axioms for Zermelo-Fraenkel's set theory. Classes. Ordered sets: partial and linear orderings, well-founded relations, well-orderings. The axiom of choice and equivalent variants. Zorn's lemma and the well-ordering principle. Transfinite induction and recursion. Ordinals and cardinals. The continuum hypothesis. Briefly about independence results and models of set theories. Briefly about category theory.

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