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List of axioms - Zermelo-Frankel axioms | | List of axioms - Zermelo-Frankel axioms: Encyclopedia II - List of axioms - Zermelo-Frankel axioms | | These are the de facto standard axioms for contemporary mathematics
Axiom of extensionality
Axiom of empty set
Axiom of pairing
Axiom of union
Axiom of infinity
Axiom schema of replacement
Axiom of power set
Axiom of regularity
Axiom of separation
Axiom schema of specification
See also Zermelo set theory.
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See also:List of axioms, List of axioms - Zermelo-Frankel axioms, List of axioms - Axiom of choice, List of axioms - Equivalents of AC, List of axioms - Weaker than AC, List of axioms - Alternates incompatible with AC, List of axioms - Other axioms of mathematical logic, List of axioms - Geometry, List of axioms - Other axioms | | | List of axioms, List of axioms - Alternates incompatible with AC, List of axioms - Axiom of choice, List of axioms - Equivalents of AC, List of axioms - Geometry, List of axioms - Other axioms, List of axioms - Other axioms of mathematical logic, List of axioms - Weaker than AC, List of axioms - Zermelo-Frankel axioms | | |
| | | List of axioms: Encyclopedia II - List of axioms - Zermelo-Frankel axioms
List of axioms - Zermelo-Frankel axioms
These are the de facto standard axioms for contemporary mathematics
- Axiom of extensionality
- Axiom of empty set
- Axiom of pairing
- Axiom of union
- Axiom of infinity
- Axiom schema of replacement
- Axiom of power set
- Axiom of regularity
- Axiom of separation
- Axiom schema of specification
See also Zermelo set theory.
Other related archivesArchimedean axiom, Axiom of choice, Axiom of constructibility, Axiom of countability, Axiom of countable choice, Axiom of dependent choice, Axiom of determinacy, Axiom of empty set, Axiom of extensionality, Axiom of infinity, Axiom of pairing, Axiom of power set, Axiom of projective determinacy, Axiom of real determinacy, Axiom of regularity, Axiom of separation, Axiom of uniformization, Axiom of union, Axiom schema of replacement, Axiom schema of specification, Birkhoff's axioms, Boolean prime ideal theorem, Continuum hypothesis, Freiling's axiom of symmetry, Fundamental axiom of analysis, Generalized continuum hypothesis, Geometry, Gluing axiom, Haag-Kastler axioms, Hausdorff maximality theorem, Hilbert's axioms, Huzita's axioms, Kripke-Platek axioms, Kuratowski closure axioms, Martin's axiom, Mathematical axioms, Mathematical lists, Parallel postulate, Peano's axioms, Probability axioms, Rank-into-rank, Separation axiom, Tarski's axioms, Von Neumann-Bernays-Gödel axioms, Well-ordering principle, Wightman axioms, Zermelo set theory, Zermelo-Frankel axioms, Zorn's lemma, axiom, axiomatic system, axioms, epistemology, field theory, geometry, mathematical logic, mathematics, natural numbers, origami, quantum field theory, real analysis, self-evidence, sheaf theory, topology
 Adapted from the Wikipedia article "Zermelo-Frankel axioms", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
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