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Axiom of choice

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description: With the Zermelo–Fraenkel axioms above, this makes up the system ZFC in which most mathematics is potentially formalisable.Equivalents of ACHausdorff maximality theoremWell-ordering principleZorn's l ...

With the Zermelo–Fraenkel axioms above, this makes up the system ZFC in which most mathematics is potentially formalisable.

Equivalents of AC
Hausdorff maximality theorem
Well-ordering principle
Zorn's lemma
Stronger than AC
Axiom of global choice
Weaker than AC
Axiom of countable choice
Axiom of dependent choice
Boolean prime ideal theorem
Axiom of uniformization
Alternates incompatible with AC
Axiom of real determinacy
See also Zermelo set theory.

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Axiom of choice

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