Set Theory as a foundational system for mathematics. ZF, ZFC and ZF with atoms. Relative consistency of the Axiom of Choice, the Continuum Hypothesis, the reals as a countable union of countable sets, the existence of a countable family of pairs without any choice function.
Field of mathematics with close connections to the foundation of mathematics and theoretical computer science. The course is centered on 1st order logic and the intricate relations between syntax and semantics.