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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
v
t
e
Logic
Outline
History
Major fields
Computer science
Formal semantics (natural language)
Inference
Philosophy of logic
Proof
Semantics of logic
Syntax
Logics
Classical
Informal
Critical thinking
Reason
Mathematical
Non-classical
Philosophical
Theories
Argumentation
Metalogic
Metamathematics
Set
Foundations
Abduction
Analytic and synthetic propositions
Contradiction
Paradox
Antinomy
Deduction
Deductive closure
Definition
Description
Entailment
Linguistic
Form
Induction
Logical truth
Name
Necessity and sufficiency
Premise
Probability
Reference
Statement
Substitution
Truth
Validity
Lists
topics
Mathematical logic
Boolean algebra
Set theory
other
Logicians
Rules of inference
Paradoxes
Fallacies
Logic symbols
Philosophy portal
Category
WikiProject
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talk
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t
e
Set theory
Overview
Set (mathematics)
Axioms
Adjunction
Choice
countable
dependent
global
Constructibility (V=L)
Determinacy
Extensionality
Infinity
Limitation of size
Pairing
Power set
Regularity
Union
Martin's axiom
Axiom schema
replacement
specification
Operations
Cartesian product
Complement
(i.e. set difference)
De Morgan's laws
Disjoint union
Identities
Intersection
Power set
Symmetric difference
Union
Concepts
Methods
Almost
Cardinality
Cardinal number
(
large
)
Class
Constructible universe
Continuum hypothesis
Diagonal argument
Element
ordered pair
tuple
Family
Forcing
One-to-one correspondence
Ordinal number
Set-builder notation
Transfinite induction
Venn diagram
Set
types
Amorphous
Countable
Empty
Finite
(
hereditarily
)
Filter
base
subbase
Ultrafilter
Fuzzy
Infinite
(
Dedekind-infinite
)
Recursive
Singleton
Subset
·
Superset
Transitive
Uncountable
Universal
Theories
Alternative
Axiomatic
Naive
Cantor's theorem
Zermelo
General
Principia Mathematica
New Foundations
Zermelo–Fraenkel
von Neumann–Bernays–Gödel
Morse–Kelley
Kripke–Platek
Tarski–Grothendieck
Paradoxes
Problems
Russell's paradox
Suslin's problem
Burali-Forti paradox
Set theorists
Paul Bernays
Georg Cantor
Paul Cohen
Richard Dedekind
Abraham Fraenkel
Kurt Gödel
Thomas Jech
John von Neumann
Willard Quine
Bertrand Russell
Thoralf Skolem
Ernst Zermelo
Categories
:
Set theory
Mathematics-related lists
Hidden categories:
Articles with short description
Short description is different from Wikidata
From Wikipedia, the free encyclopedia
Philosophy portal
Mathematics portal
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
v
t
e
Logic
Outline
History
Major fields
Computer science
Formal semantics (natural language)
Inference
Philosophy of logic
Proof
Semantics of logic
Syntax
Logics
Classical
Informal
Critical thinking
Reason
Mathematical
Non-classical
Philosophical
Theories
Argumentation
Metalogic
Metamathematics
Set
Foundations
Abduction
Analytic and synthetic propositions
Contradiction
Paradox
Antinomy
Deduction
Deductive closure
Definition
Description
Entailment
Linguistic
Form
Induction
Logical truth
Name
Necessity and sufficiency
Premise
Probability
Reference
Statement
Substitution
Truth
Validity
Lists
topics
Mathematical logic
Boolean algebra
Set theory
other
Logicians
Rules of inference
Paradoxes
Fallacies
Logic symbols
Philosophy portal
Category
WikiProject
(
talk
)
changes
v
t
e
Set theory
Overview
Set (mathematics)
Axioms
Adjunction
Choice
countable
dependent
global
Constructibility (V=L)
Determinacy
Extensionality
Infinity
Limitation of size
Pairing
Power set
Regularity
Union
Martin's axiom
Axiom schema
replacement
specification
Operations
Cartesian product
Complement
(i.e. set difference)
De Morgan's laws
Disjoint union
Identities
Intersection
Power set
Symmetric difference
Union
Concepts
Methods
Almost
Cardinality
Cardinal number
(
large
)
Class
Constructible universe
Continuum hypothesis
Diagonal argument
Element
ordered pair
tuple
Family
Forcing
One-to-one correspondence
Ordinal number
Set-builder notation
Transfinite induction
Venn diagram
Set
types
Amorphous
Countable
Empty
Finite
(
hereditarily
)
Filter
base
subbase
Ultrafilter
Fuzzy
Infinite
(
Dedekind-infinite
)
Recursive
Singleton
Subset
·
Superset
Transitive
Uncountable
Universal
Theories
Alternative
Axiomatic
Naive
Cantor's theorem
Zermelo
General
Principia Mathematica
New Foundations
Zermelo–Fraenkel
von Neumann–Bernays–Gödel
Morse–Kelley
Kripke–Platek
Tarski–Grothendieck
Paradoxes
Problems
Russell's paradox
Suslin's problem
Burali-Forti paradox
Set theorists
Paul Bernays
Georg Cantor
Paul Cohen
Richard Dedekind
Abraham Fraenkel
Kurt Gödel
Thomas Jech
John von Neumann
Willard Quine
Bertrand Russell
Thoralf Skolem
Ernst Zermelo
Categories
:
Set theory
Mathematics-related lists
Hidden categories:
Articles with short description
Short description is different from Wikidata
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