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Axiom of power set
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== Limitations == The power set axiom does not specify what subsets of a set exist, only that there is a set containing all those that do.<ref>{{cite book |last1=Devlin |first1=Keith |title=Constructibility |date=1984 |publisher=Springer-Verlag |location=Berlin |isbn=3-540-13258-9 |pages=56β57 |url=https://projecteuclid.org/eBooks/perspectives-in-logic/constructibility/toc/pl/1235419477 |access-date=8 January 2023}}</ref> Not all conceivable subsets are guaranteed to exist. In particular, the power set of an infinite set would contain only "constructible sets" if the universe is the [[constructible universe]] but in other models of ZF set theory could contain sets that are not constructible.
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