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In mathematics, the axiom of power set is one of the Zermelo–Fraenkel axioms of axiomatic set theory.

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To me, this is a large powerset axiom

Science (1 matching dictionary). powerset axiom: PlanetMath Encyclopedia. Words similar to powerset axiom. Words that often appear near powerset axiom. Rhymes of powerset axiom. Invented words related to powerset axiom.

Let us extend set theory by 3 new symbols (powerset, exponentiation, product) with axioms, that will declare given classes C to be sets K. These extensions are similar to those provided by the set generation principle (. 1), but no more satisfy its requirement. In the traditional ZF formalization of set theory only accepting ∈ as primitive stucture, such a declaration is done purely by the axiom (or theorem) (∀ parameters), ∃K, ∀x, x ∈ K ⇔ C(x)