Set Theory by Anush Tserunyan. This note is an introduction to the Zermelo-Fraenkel set theory with Choice (ZFC). Topics covered includes: The axioms of set theory , Ordinal and cardinal arithmetic, The axiom of foundation, Relativisation, absoluteness, and reflection, Ordinal definable sets and inner models of set theory, The constructible universe L Cohen's method of forcing, Independence In set theory, Zermelo-Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox. Today, Zermelo-Fraenkel set theory, with the historically controversial axiom of choice (AC) included, is the standard form of filexlib.

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