title: List of set theory topics
text: # 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
  * 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
  * 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
  
  * Association for Symbolic Logic
  * The Cabal
  