Axiom of choice

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In mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that a Cartesian product of a collection of non-empty sets is non-empty. Informally put, the axiom of choice says that given any collection of bins, each containing at least one object, it is possible to make a selection of exactly one object from each bin, even if the collection is infinite.


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treated in What is the Axiom of Choice?

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One of the easiest ways to start a (friendly) fight in a group of mathematicians is to bring up the a...