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Zermelo Fränkel set theory

 
 
Zermelo Fränkel set theory A with the s of (Extensionality, Union, Pair-set, Foundation, Restriction, Infinity, Power-set) plus the Replacement : If F(x,y) is a such that for any x, there is a unique y making F true, and X is a set, then 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 which is NOT part of ZF theory is the . (1995-04-10)
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