principle of excluded middle

logical principle stating that for every proposition, either it or its negation is true
Thing axiom Q468422
Press Enter · cited answer in seconds

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 (2,178 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 described by source is recorded as Meyers Konversations-Lexikon, 4th edition (1885–1890)[5].
  • principle of excluded middle's different from is recorded as principle of bivalence[6].
  • principle of excluded middle's different from is recorded as law of noncontradiction[7].
  • principle of excluded middle's admissible rule in is recorded as classical logic[8].
  • principle of excluded middle's studied by is recorded as classical logic[9].
  • principle of excluded middle's studied by is recorded as epistemology[10].
  • principle of excluded middle's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • principle of excluded middle's generalization of is recorded as limited principle of omniscience[12].
  • principle of excluded middle's generalization of is recorded as double negative elimination[13].

Body

Definition and Type

Recorded instance of include axiom[3] and principle[4].

Why It Matters

principle of excluded middle ranks in the top 5% of axiom entities by monthly Wikipedia readership (2,178 views/month).[2] It has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[14] It is known by 51 alternative names across languages and contexts.[15]

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] . 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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . Wikidata sitelinks. wikidata.org.
  3. [15] . 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)

Canonical URL: https://4ort.xyz/entity/principle-of-excluded-middle · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 6w ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    Maintained by wikiproject WikiProject Mathematics
    Generalization of limited principle of omniscience, double negative elimination
    Different from principle of bivalence, law of noncontradiction
    Studied by classical logic, epistemology
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/40849|batch #40849]]: ZGBK ID"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.