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List of axioms - Axiom of choice | | List of axioms - Axiom of choice: Encyclopedia II - List of axioms - Axiom of choice | | | With the Zermelo-Frankel axioms above, this makes up the system ZFC in which most mathematics is potentially formalisable
List of axioms - Equivalents of AC.
Hausdorff maximality theorem
Well-ordering principle
Zorn's lemma
List of axioms - Weaker than AC.
Axiom of countable choice
Axiom of dependent choice
Boolean prime ideal theorem
Axiom of uniformization
List of axioms - Alternates incompatible with ACSee 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 - Axiom of choice
List of axioms - Axiom of choice
With the Zermelo-Frankel axioms above, this makes up the system ZFC in which most mathematics is potentially formalisable
List of axioms - Equivalents of AC
- Hausdorff maximality theorem
- Well-ordering principle
- Zorn's lemma
List of axioms - Weaker than AC
- Axiom of countable choice
- Axiom of dependent choice
- Boolean prime ideal theorem
- Axiom of uniformization
List of axioms - Alternates incompatible with AC
- Axiom of real determinacy
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 "Axiom of choice", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
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