axiom of determinacy

set-theoretic statement, consistent with ZF but contradicting choice, that any game corresponding to a subset of Baire space is determined
Thing axiom_of_set_theory Q4830558
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axiom of determinacy

Summary

axiom of determinacy is an axiom of set theory[1]. It draws 105 Wikipedia views per month (axiom_of_set_theory category, ranking #4 of 17).[2]

Key Facts

  • axiom of determinacy is credited with the discovery of Jan Mycielski[3].
  • axiom of determinacy is credited with the discovery of Hugo Steinhaus[4].
  • axiom of determinacy's instance of is recorded as axiom of set theory[5].
  • axiom of determinacy's part of is recorded as list of axioms[6].
  • axiom of determinacy's time of discovery or invention is recorded as +1962-00-00T00:00:00Z[7].
  • axiom of determinacy's Freebase ID is recorded as /m/03y8rm[8].
  • axiom of determinacy's Encyclopædia Britannica Online ID is recorded as topic/axiom-of-determinateness[9].
  • axiom of determinacy's Stack Exchange tag is recorded as https://mathoverflow.net/tags/determinacy[10].
  • axiom of determinacy's short name is recorded as {'lang': 'en', 'text': 'AD'}[11].
  • axiom of determinacy's Stanford Encyclopedia of Philosophy ID is recorded as large-cardinals-determinacy[12].
  • axiom of determinacy's PhilPapers topic is recorded as the-axiom-of-determinacy[13].
  • axiom of determinacy's nLab ID is recorded as axiom of determinacy[14].
  • axiom of determinacy's maintained by WikiProject is recorded as WikiProject Mathematics[15].
  • axiom of determinacy's Microsoft Academic ID is recorded as 2778637764[16].

Body

Works and Contributions

Credited discoveries include Jan Mycielski[3], a mathematician[17], 1932–2025[18], of Poland[19], awarded the Stefan Banach Prize[20], specialised in mathematics[21] and Hugo Steinhaus[4], a mathematician[22], 1887–1972[23], of Cisleithania[24], awarded the Commander with Star of the Order of Polonia Restituta[25], specialised in probability theory[26].

Why It Matters

axiom of determinacy draws 105 Wikipedia views per month (axiom_of_set_theory category, ranking #4 of 17).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[27] It is known by 12 alternative names across languages and contexts.[28]

References

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

Direct Wikidata claims

  1. [5] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . Freebase Data Dumps. 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.

Inline context (facts about related entities)

  1. [17] . Wikidata. wikidata.org. → on this site
  2. [18] . Wikidata. wikidata.org. → on this site
  3. [19] . Wikidata. wikidata.org. → on this site
  4. [20] . Wikidata. wikidata.org. → on this site
  5. [21] . Wikidata. wikidata.org. → on this site
  6. [22] . Wikidata. wikidata.org. → on this site
  7. [23] . Wikidata. wikidata.org. → on this site
  8. [24] . Wikidata. wikidata.org. → on this site
  9. [25] . Wikidata. wikidata.org. → on this site
  10. [26] . Wikidata. wikidata.org. → on this site

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. wikidata.org.
  3. [28] . Wikidata aliases. wikidata.org.

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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 determinacy. Retrieved May 3, 2026, from https://4ort.xyz/entity/axiom-of-determinacy
MLA “axiom of determinacy.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/axiom-of-determinacy.
BibTeX @misc{4ortxyz_axiom-of-determinacy_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{axiom of determinacy}}, year = {2026}, url = {https://4ort.xyz/entity/axiom-of-determinacy}, note = {Accessed: 2026-05-03}}
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