axiom of empty set

statement in set theory that asserts that the empty set exists
Thing axiom Q2045366
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axiom of empty set

Summary

axiom of empty set is an axiom[1]. It draws 51 Wikipedia views per month (axiom category, ranking #9 of 21).[2]

Key Facts

  • axiom of empty set's instance of is recorded as axiom[3].
  • axiom of empty set's instance of is recorded as axiom of set theory[4].
  • axiom of empty set's subclass of is recorded as axiom[5].
  • axiom of empty set's part of is recorded as list of axioms[6].
  • axiom of empty set's part of is recorded as Kripke–Platek set theory[7].
  • axiom of empty set's Freebase ID is recorded as /m/0dt9l[8].
  • axiom of empty set's defining formula is recorded as \exists x\forall y\colon y\not\in x[9].
  • axiom of empty set's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • axiom of empty set's ProofWiki ID is recorded as Axiom:Axiom_of_the_Empty_Set[11].
  • axiom of empty set's in defining formula is recorded as x[12].

Why It Matters

axiom of empty set draws 51 Wikipedia views per month (axiom category, ranking #9 of 21).[2] It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[13]

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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 empty set. Retrieved May 3, 2026, from https://4ort.xyz/entity/axiom-of-empty-set
MLA “axiom of empty set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/axiom-of-empty-set.
BibTeX @misc{4ortxyz_axiom-of-empty-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{axiom of empty set}}, year = {2026}, url = {https://4ort.xyz/entity/axiom-of-empty-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 empty set — https://4ort.xyz/entity/axiom-of-empty-set (retrieved 2026-05-03)

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