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Summary Of: Zermelo-Frankel axioms
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axiomatic set theory
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foundation of mathematics
|
ontological
|
set
|
individuals
|
universe of discourse
|
binary relation
|
first-order theory
|
first-order logic
|
Ernst Zermelo
|
axiomatic set theory
|
Zermelo set theory
|
ordinal numbers
|
Abraham Fraenkel
|
Thoralf Skolem
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first order theory
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atomic formulas
|
axiom schema of specification
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axiom schema of replacement
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axiom of regularity
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axiom of choice
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first order logic
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domain of discourse
|
Axiom of extensionality
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equality
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Axiom of regularity
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disjoint sets
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Axiom schema of specification
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property
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Russell's paradox
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axiom schema of replacement
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axiom of the empty set
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empty set
|
axiom of the empty set
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definitional extension
|
Axiom of pairing
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axiom schema of replacement
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axiom of infinity
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axiom of the power set
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Axiom of union
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Axiom schema of collection
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free variables
|
quantifier
|
binding
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domain
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range
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Axiom of infinity
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von Neumann ordinal
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Axiom of power set
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superset
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power set
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empty set exists
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Well-ordering theorem
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binary relation
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well-orders
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linear order
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subset
|
axiom of choice
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domain
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range
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finite set
|
infinite sets
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nonconstructive
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Montague
|
Von Neumann–Bernays–Gödel set theory
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proper classes
|
theorem
|
Gödel's second incompleteness theorem
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Robinson arithmetic
|
general set theory
|
consistency
|
inaccessible cardinal
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naive set theory
|
Russell's paradox
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Burali-Forti paradox
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Cantor's paradox
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non-well-founded set theory
|
model
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Metamath
|
first order logic
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Bertrand Russell
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Principia Mathematica
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inaccessible cardinals
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category theory
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Tarski's axiom
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infinity
|
choice
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existential quantifiers
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atomic formulas
|
independent
|
list of statements undecidable in ZFC
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forcing
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model
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large cardinal axioms
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inner models
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constructible universe
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ZFC
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Continuum hypothesis
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Diamond principle
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Suslin hypothesis
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Kurepa hypothesis
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Martin's axiom
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Axiom of Constructibility (V=L)
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inner models
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constructible universe
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forcing
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axiom of choice
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Gödel's second incompleteness theorem
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large cardinals
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Objections to set theory
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Peano arithmetic
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second order arithmetic
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reverse mathematics
|
Saunders Mac Lane
|
Solomon Feferman
|
Zermelo set theory
|
axiomatic set theories
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New Foundations
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universal set
|
universe
|
algebra of sets
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von Neumann–Bernays–Gödel set theory
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Morse–Kelley set theory
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proper classes
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ontological
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Russell's paradox
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axiom of choice
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axiom of global choice
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mathematical statements undecidable in ZFC
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continuum hypothesis
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Whitehead problem
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Normal Moore space conjecture
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Martin's axiom
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large cardinal axioms
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axiom of determinacy
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large cardinal axioms
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projective determinacy
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Mizar system
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Tarski-Grothendieck set theory
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Grothendieck universes
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Axiomatic set theory
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List of statements undecidable in ZFC
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Metamath
|
Non-well-founded set theory
|
Principia Mathematica
|
Set theory
|
Von Neumann–Bernays–Gödel set theory
|
Z notation
|
Zermelo set theory
|
Alexander Abian
|
Keith Devlin
|
Abraham Fraenkel
|
Yehoshua Bar-Hillel
|
Azriel Levy
|
Thomas Jech
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ISBN 3-540-44085-2
|
Kenneth Kunen
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ISBN 0-444-86839-9
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Richard Montague
|
Patrick Suppes
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Gaisi Takeuti
|
Alfred Tarski
|
Jean van Heijenoort
|
Zermelo
|
Fraenkel
|
Skolem
|
Stanford Encyclopedia of Philosophy
|
Thomas Jech
|
first order logic
|
PlanetMath
|
Categories
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Systems of set theory
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Z notation
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This article is licensed under the
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. It uses material from the
Wikipedia article "Zermelo-Frankel axioms"
.
