Course

MATH-318: Set theory

Summary

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.

Official source

https://edu.epfl.ch/coursebook/en/set-theory-MATH-318

Moodle Page

http://go.epfl.ch/MATH-318

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Ontological neighbourhood

Mathematics

Mathematical logic: Set theory

Logic

Classical logic: First-order logic

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