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principle of excluded middle

logical principle stating that for every proposition, either it or its negation is true
Thing axiom Q468422
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principle of excluded middle

Summary

principle of excluded middle is an axiom[1]. It ranks in the top 5% of axiom entities by monthly Wikipedia readership (613 views/month).[2]

Key Facts

  • principle of excluded middle's instance of is recorded as axiom[3].
  • principle of excluded middle's instance of is recorded as principle[4].
  • principle of excluded middle's GND ID is recorded as 4179179-4[5].
  • principle of excluded middle's Bibliothèque nationale de France ID is recorded as 120453787[6].
  • principle of excluded middle's IdRef ID is recorded as 028665120[7].
  • principle of excluded middle's Freebase ID is recorded as /m/04gs1[8].
  • principle of excluded middle's spoken text audio is recorded as Nl-Wet van de uitgesloten derde-article.ogg[9].
  • principle of excluded middle's described by source is recorded as Meyers Konversations-Lexikon, 4th edition (1885–1890)[10].
  • principle of excluded middle's Encyclopædia Britannica Online ID is recorded as topic/law-of-excluded-middle[11].
  • principle of excluded middle's different from is recorded as principle of bivalence[12].
  • principle of excluded middle's different from is recorded as law of noncontradiction[13].
  • principle of excluded middle's admissible rule in is recorded as classical logic[14].
  • principle of excluded middle's studied by is recorded as classical logic[15].
  • principle of excluded middle's studied by is recorded as epistemology[16].
  • principle of excluded middle's Great Russian Encyclopedia Online ID is recorded as 2022161[17].
  • principle of excluded middle's Quora topic ID is recorded as Law-of-Excluded-Middle[18].
  • principle of excluded middle's Elhuyar ZTH ID is recorded as 139728[19].
  • principle of excluded middle's maintained by WikiProject is recorded as WikiProject Mathematics[20].
  • principle of excluded middle's Microsoft Academic ID is recorded as 137155000[21].
  • principle of excluded middle's ProofWiki ID is recorded as Law_of_Excluded_Middle[22].
  • principle of excluded middle's generalization of is recorded as limited principle of omniscience[23].
  • principle of excluded middle's generalization of is recorded as double negative elimination[24].
  • principle of excluded middle's Treccani's Dizionario di Filosofia ID is recorded as terzo-escluso-principio-del[25].
  • principle of excluded middle's Lex ID is recorded as udelukkelsesprincippet_-_logisk_begreb[26].
  • principle of excluded middle's OpenAlex ID is recorded as C137155000[27].

Why It Matters

principle of excluded middle ranks in the top 5% of axiom entities by monthly Wikipedia readership (613 views/month).[2] It has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[28] It is known by 51 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] ↑ . Integrated Authority File. Retrieved . d-nb.info. Provenance: wikidata.org.
  4. [6] ↑ . Integrated Authority File. Retrieved . wikidata.org.
  5. [7] ↑ . IdRef. Retrieved . 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.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . Quora. wikidata.org.
  17. [19] ↑ . wikidata.org.
  18. [20] ↑ . 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] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: 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). principle of excluded middle. Retrieved May 3, 2026, from https://4ort.xyz/entity/principle-of-excluded-middle
MLA “principle of excluded middle.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/principle-of-excluded-middle.
BibTeX @misc{4ortxyz_principle-of-excluded-middle_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{principle of excluded middle}}, year = {2026}, url = {https://4ort.xyz/entity/principle-of-excluded-middle}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): principle of excluded middle — https://4ort.xyz/entity/principle-of-excluded-middle (retrieved 2026-05-03)

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