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Wikipedia definition
1. Axiom of choiceIn mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that "the product of a collection of non-empty sets is non-empty". More explicitly, it is stating that for every indexed family of nonempty sets there exists an indexed family of elements such that for every . The axiom of choice was formulated in 1904 by Ernst Zermelo.
Read “Axiom of choice” on English Wikipedia
Read “選択公理” on Japanese Wikipedia
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