What is the theory ZFC without power set?

We show that the theory ZFC, consisting of the usual axioms of ZFC but with the power set axiom removed—specifically axiomatized by extensionality, foundation, pairing, union, infinity, separation, replacement and the assertion that every set can be well-ordered—is weaker than commonly supposed and...

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Bibliografiske detaljer
Main Authors: Gitman, V, Hamkins, J, Johnstone, T
Format: Journal article
Sprog:English
Udgivet: Wiley 2016