Zermelo–Fraenkel set theory

variant of ZFC, the standard axiomatic set theory
Thing set_theory Q191849
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Zermelo–Fraenkel set theory

Summary

Zermelo–Fraenkel set theory is a set theory[1]. It draws 1,383 Wikipedia views per month (set_theory category, ranking #1 of 5).[2]

Key Facts

  • Zermelo–Fraenkel set theory's instance of is recorded as set theory[3].
  • Abraham Fraenkel is named after Zermelo–Fraenkel set theory[4].
  • Ernst Zermelo is named after Zermelo–Fraenkel set theory[5].
  • Zermelo–Fraenkel set theory's has part is recorded as Zermelo set theory[6].
  • Zermelo–Fraenkel set theory's Freebase ID is recorded as /m/013tp0[7].
  • Zermelo–Fraenkel set theory's topic's main category is recorded as Category:Zermelo–Fraenkel set theory[8].
  • Zermelo–Fraenkel set theory's Gran Enciclopèdia Catalana ID is recorded as 0073263[9].
  • Zermelo–Fraenkel set theory's Encyclopædia Britannica Online ID is recorded as topic/Zermelo-Fraenkel-set-theory[10].
  • Zermelo–Fraenkel set theory's different from is recorded as Zermelo–Fraenkel set theory with choice[11].
  • Zermelo–Fraenkel set theory's is the study of is recorded as axiom of extensionality[12].
  • Zermelo–Fraenkel set theory's is the study of is recorded as axiom of regularity[13].
  • Zermelo–Fraenkel set theory's is the study of is recorded as axiom schema of specification[14].
  • Zermelo–Fraenkel set theory's is the study of is recorded as axiom of pairing[15].
  • Zermelo–Fraenkel set theory's is the study of is recorded as axiom of union[16].
  • Zermelo–Fraenkel set theory's is the study of is recorded as axiom schema of replacement[17].
  • Zermelo–Fraenkel set theory's is the study of is recorded as axiom of infinity[18].
  • Zermelo–Fraenkel set theory's is the study of is recorded as axiom of power set[19].
  • Zermelo–Fraenkel set theory's BabelNet ID is recorded as 00739998n[20].
  • Zermelo–Fraenkel set theory's MathWorld ID is recorded as Zermelo-FraenkelSetTheory[21].
  • Zermelo–Fraenkel set theory's JSTOR topic ID is recorded as zermelo-frankel-set-theory[22].
  • Zermelo–Fraenkel set theory's maintained by WikiProject is recorded as WikiProject Mathematics[23].
  • Zermelo–Fraenkel set theory's Microsoft Academic ID is recorded as 51460[24].
  • Zermelo–Fraenkel set theory's ProofWiki ID is recorded as Definition:Zermelo-Fraenkel_Set_Theory[25].
  • Zermelo–Fraenkel set theory's Lex ID is recorded as Zermelo-Fraenkels_aksiomer[26].
  • Zermelo–Fraenkel set theory's Treccani's Enciclopedia della Matematica ID is recorded as teoria-di-zermelo-fraenkel[27].

Why It Matters

Zermelo–Fraenkel set theory draws 1,383 Wikipedia views per month (set_theory category, ranking #1 of 5).[2] It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[28] It is known by 22 alternative names across languages and contexts.[29]

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] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . Freebase Data Dumps. 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.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . BabelNet. wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] . Wikidata sitelinks. wikidata.org.
  3. [29] . 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). Zermelo–Fraenkel set theory. Retrieved May 3, 2026, from https://4ort.xyz/entity/zermelo-fraenkel-set-theory
MLA “Zermelo–Fraenkel set theory.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/zermelo-fraenkel-set-theory.
BibTeX @misc{4ortxyz_zermelo-fraenkel-set-theory_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Zermelo–Fraenkel set theory}}, year = {2026}, url = {https://4ort.xyz/entity/zermelo-fraenkel-set-theory}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Zermelo–Fraenkel set theory — https://4ort.xyz/entity/zermelo-fraenkel-set-theory (retrieved 2026-05-03)

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