List of set theory topics
# 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
