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Axiom of power set — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Axiom_of_power_set
License (as archived): CC-BY-SA-4.0
Archived: 2026-11-10T14:06:01.157Z
SHA-256 of the archived text: 0cb1cd46aab11a22711ce39c5f3018b5008526ffd056d1916b8c5e772cf09b93
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Axiom of power set — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Axiom_of_power_set (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_1f08052ca502 (Metraipolis archive dc_1f08052ca502, sha256 0cb1cd46aab11a22711ce39c5f3018b5008526ffd056d1916b8c5e772cf09b93)

BibTeX

@misc{dc1f08052ca502,
  title = {Axiom of power set — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Axiom_of_power_set},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_1f08052ca502; sha256 0cb1cd46aab11a22711ce39c5f3018b5008526ffd056d1916b8c5e772cf09b93},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Axiom_of_power_set. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In mathematics, the axiom of power set is one of the Zermelo–Fraenkel axioms of axiomatic set theory. It guarantees for every set x the existence of a set 𝒫(x), the power set of x, consisting precisely of the subsets of x. By the axiom of extensionality, the set 𝒫(x) is unique. The axiom of power set appears in most axiomatizations of set theory. It is generally considered uncontroversial, although constructive set theory prefers a weaker version to resolve concerns about predicativity.

Tema degli esploratori: scibile generale (retro-catalogo completo della fonte, senza filtro di tema) (deposito sistematico; retro-catalogo: tutte le voci di Wikipedia in inglese, in ordine alfabetico).
Fonte: Wikipedia in inglese, voce «Axiom of power set» — https://en.wikipedia.org/wiki/Axiom_of_power_set
Wikidata Q1077811: «axiom guaranteeing the existence of power sets» (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q1077811
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Axiom_of_power_set?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1325037263, consultata il 2026-11-10T14:02:45.519Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 548c624050d345de32d6c95c9462b5748510a0940e6a94cc98e922ec11a2e55b