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The axiom of choice was formulated by Zermelo in 1904 in order to prove his well-ordering theorem. The axioms axiom of choice was strongly criticized by many famous mathematicians, including Baire, Borel, and Lebesgue. Nowadays, of course, although a minority of mathematicians still reject it, the axiom of choice is accepted as part of mainstream mathematics.

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The axiom of choice was formulated by Zermelo in 1904 in order to prove his well-ordering theorem. The axioms of choice was strongly criticized by many famous mathematicians, including Baire, Borel, and Lebesgue. Nowadays, of course, although a minority of mathematicians still reject it, the axiom of choice is accepted as part of mainstream mathematics.