List of set theory topics This page is a list of articles related to set theory. Articles on individual set theory topics Algebra of sets Axiom of choice Axiom of countable choice Axiom of dependent choice Zorn's lemma Axiom of power set Boolean-valued model Burali-Forti paradox Cantor's back-and-forth method Cantor's diagonal argument Cantor's first uncountability proof Cantor's paradox Cantor's theorem Cantor–Bernstein–Schroeder theorem Cardinal number Aleph number Beth number Hartogs number Cardinality Cartesian product Class (set theory) Complement (set theory) Complete Boolean algebra Continuum (set theory) Suslin's problem Continuum hypothesis Countable set Descriptive set theory Analytic set Analytical hierarchy Borel equivalence relation Infinity-Borel set Lightface analytic game Perfect set property Polish space Prewellordering Projective set Property of Baire Uniformization (set theory) Universally measurable set Determinacy AD+ Axiom of determinacy Axiom of projective determinacy Axiom of real determinacy Empty set Forcing (mathematics) Fuzzy set Hereditary set Internal set theory Intersection (set theory) Inner model theory Core model Covering lemma Inner model Mouse (set theory) L L(R) Large cardinal property Inaccessible cardinal Mahlo cardinal Measurable cardinal Supercompact cardinal Weakly compact cardinal Linear partial information Multiset Musical set theory Ordinal number Infinite descending chain Limit ordinal Successor ordinal Transfinite induction ∈-induction Well-founded set Well-order PCF theory Power set Projection Quasi-set theory Relation Rough set Russell's paradox Semiset Set theory Alternative set theory Axiomatic set theory General set theory Kripke–Platek set theory with urelements Morse–Kelley set theory Naive set theory New Foundations Pocket set theory Positive set theory S (Boolos 1989) Scott–Potter set theory Tarski–Grothendieck set theory Von Neumann–Bernays–Gödel set theory Zermelo–Fraenkel set theory Zermelo set theory Set (mathematics) Set-builder notation Set-theoretic topology Simple theorems in the algebra of sets Subset Θ (set theory) Tree (descriptive set theory) Tree (set theory) Union (set theory) Von Neumann universe Zero sharp Lists related to set theory Glossary of set theory List of large cardinal properties List of properties of sets of reals List of set identities and relations Set theorists Wilhelm Ackermann James Earl Baumgartner Paul Bernays Andreas Blass George Boolos Bourbaki Georg Cantor Paul Cohen Richard Dedekind Paul Finsler Matthew Foreman Abraham Fraenkel Gottlob Frege Moti Gitik Kurt Gödel András Hajnal Felix Hausdorff Steve Jackson Thomas Jech Ronald Jensen Akihiro Kanamori Alexander S. Kechris Lyudmila Keldysh Kenneth Kunen Casimir Kuratowski Jean A. Larson Richard Laver Azriel Lévy Benedikt Löwe Nikolai Luzin Menachem Magidor Donald A. Martin Adrian Mathias Anthony Morse Yiannis N. Moschovakis Andrzej Mostowski John von Neumann Giuseppe Peano Willard Quine Bertrand Russell Dana Scott Saharon Shelah Wacław Sierpiński Jack Silver Thoralf Skolem Robert M. Solovay Mikhail Yakovlevich Suslin John R. Steel Gaisi Takeuti Alfred Tarski W. Hugh Woodin Ernst Zermelo Societies and organizations Association for Symbolic Logic The Cabal

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