principle of explosion

theorem which states that any statement can be proven from a contradiction
Intangible theorem Q60190
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principle of explosion

Summary

principle of explosion is a theorem[1]. It ranks in the top 7% of theorem entities by monthly Wikipedia readership (229 views/month).[2]

Key Facts

  • principle of explosion's instance of is recorded as theorem[3].
  • principle of explosion's subclass of is recorded as axiom[4].
  • principle of explosion's Freebase ID is recorded as /m/02t54v[5].
  • principle of explosion's facet of is recorded as proof by contradiction[6].
  • principle of explosion's short name is recorded as {'lang': 'la', 'text': 'EFQ'}[7].
  • principle of explosion's different from is recorded as division by zero[8].
  • principle of explosion's defining formula is recorded as \forall P \forall Q: (P \and \lnot P) \vdash Q[9].
  • principle of explosion's studied by is recorded as propositional calculus[10].
  • principle of explosion's BabelNet ID is recorded as 03415019n[11].
  • principle of explosion's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • principle of explosion's Microsoft Academic ID is recorded as 118406814[13].
  • principle of explosion's in defining formula is recorded as P[14].
  • principle of explosion's in defining formula is recorded as Q[15].
  • principle of explosion's in defining formula is recorded as \land[16].
  • principle of explosion's in defining formula is recorded as \lnot[17].
  • principle of explosion's in defining formula is recorded as \forall[18].
  • principle of explosion's in defining formula is recorded as \vdash[19].

Why It Matters

principle of explosion ranks in the top 7% of theorem entities by monthly Wikipedia readership (229 views/month).[2] It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[20] It is known by 26 alternative names across languages and contexts.[21]

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] . Freebase Data Dumps. wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . BabelNet. 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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . 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 explosion. Retrieved May 3, 2026, from https://4ort.xyz/entity/principle-of-explosion
MLA “principle of explosion.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/principle-of-explosion.
BibTeX @misc{4ortxyz_principle-of-explosion_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{principle of explosion}}, year = {2026}, url = {https://4ort.xyz/entity/principle-of-explosion}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): principle of explosion — https://4ort.xyz/entity/principle-of-explosion (retrieved 2026-05-03)

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