The axiom of choice states that an infinite set, such as the set of all even integers, can be created from other infinite sets, such as the set of all integers^{[1]}^{[2]}. This axiom enables mathematical proofs that require selecting a set from a larger set or collection of sets.
This axiom is sometimes called Zermelo's axiom of choice as it was formulated by Ernst Zermelo [German, 1871-1956] in 1904.
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