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

• 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