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axiom of power set

axiom guaranteeing the existence of power sets
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axiom of power set

Summary

axiom of power set is an axiom of set theory[1]. It draws 57 Wikipedia views per month (axiom_of_set_theory category, ranking #7 of 17).[2]

Key Facts

  • axiom of power set's instance of is recorded as axiom of set theory[3].
  • axiom of power set's part of is recorded as list of axioms[4].
  • axiom of power set's Freebase ID is recorded as /m/0dtgh[5].
  • axiom of power set's Encyclopædia Britannica Online ID is recorded as topic/axiom-of-power-set[6].
  • axiom of power set's defining formula is recorded as \forall x \, \exists P \, \forall y\, y \in P \Leftrightarrow y \subseteq x[7].
  • axiom of power set's studied by is recorded as Zermelo–Fraenkel set theory[8].
  • axiom of power set's studied by is recorded as Zermelo set theory[9].
  • axiom of power set's MathWorld ID is recorded as AxiomofthePowerSet[10].
  • axiom of power set's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • axiom of power set's Microsoft Academic ID is recorded as 2779088772[12].
  • axiom of power set's ProofWiki ID is recorded as Axiom:Axiom_of_Powers[13].
  • axiom of power set's Metamath statement ID is recorded as ax-pow[14].

Why It Matters

axiom of power set draws 57 Wikipedia views per month (axiom_of_set_theory category, ranking #7 of 17).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[15] It is known by 6 alternative names across languages and contexts.[16]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . Freebase Data Dumps. wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] ↑ . Wikidata sitelinks. wikidata.org.
  3. [16] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). axiom of power set. Retrieved May 3, 2026, from https://4ort.xyz/entity/axiom-of-power-set
MLA “axiom of power set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/axiom-of-power-set.
BibTeX @misc{4ortxyz_axiom-of-power-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{axiom of power set}}, year = {2026}, url = {https://4ort.xyz/entity/axiom-of-power-set}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): axiom of power set — https://4ort.xyz/entity/axiom-of-power-set (retrieved 2026-05-03)

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