List of set theory topics

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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

Set theorists

• Wilhelm Ackermann • James Earl Baumgartner • Eyo Malachy • 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

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