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| Keywords: Axiom of countable choice.svg en Demonstration of axiom of choice Each set in the family of sets <math> S_i S_1 S_2 S_3 </math> indexed over the natural numbers N is nonempty and contain a potentially infinite number of elements The axiom of choice allows us to arbitrarily select a single element from each one forming a corresponding family of elements <math> x_i x_1 x_2 x_3 </math> In general both collections may be indexed over any set not just N 2013-08-30 22 05 06 own Dcoetzee cc-zero Uploaded with UploadWizard Axiom of choice | ||||
