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Index/Topics/Zermelo–Fraenkel Axioms

Zermelo–Fraenkel Axioms

A set of axioms for set theory, including the axiom of choice.

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1 result
Feb 2, 2026

has the choice axiom in the zfc been decided

The axiom of choice () is independent of the other Zermelo–Fraenkel axioms (): Gödel and Cohen proved that, assuming ZF is consistent, both ZF+AC and ZF+¬AC are consistent, so AC cannot be proved or r...

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