Page "Axiom of choice" Paragraph 107
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There are models of Zermelo-Fraenkel set theory in which the axiom of choice is false.
We will abbreviate " Zermelo-Fraenkel set theory plus the negation of the axiom of choice " by ZF ¬ C.
For certain models of ZF ¬ C, it is possible to prove the negation of some standard facts.
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