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Zermelo Fränkel set theory


S> A Set theory with the axiomS of {Zermelo Set theory} (ExtenSionality, Union, Pair-Set, Foundation, ReStriction, Infinity, Power-Set) pluS the Replacement {axiom Schema}: If F(x,y) iS a formula Such that for any x, there iS a unique y making F true, and X iS a Set, then F x : x in X iS a Set. In other wordS, if you do Something to each element of a Set, the reSult iS a Set. An important but controverSial axiom which iS NOT part of ZF theory iS the Axiom of Choice. (1995-04-10)

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