modus tollens

if X implies Y, and Y isn't true, then neither is X
Intangible theorem Q844118
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modus tollens

Summary

modus tollens is a theorem[1]. It ranks in the top 6% of theorem entities by monthly Wikipedia readership (476 views/month).[2]

Key Facts

  • modus tollens's instance of is recorded as theorem[3].
  • modus tollens's instance of is recorded as rule of inference[4].
  • modus tollens's Freebase ID is recorded as /m/04s2j[5].
  • modus tollens's Encyclopædia Britannica Online ID is recorded as topic/modus-tollens[6].
  • modus tollens's Encyclopædia Britannica Online ID is recorded as topic/modus-ponens[7].
  • modus tollens's defining formula is recorded as \frac{P \to Q, \neg Q}{\therefore \neg P}[8].
  • modus tollens's defining formula is recorded as P\to Q, \neg Q \vdash \neg P[9].
  • modus tollens's MathWorld ID is recorded as ModusTollens[10].
  • modus tollens's JSTOR topic ID is recorded as modus-tollens[11].
  • modus tollens's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • modus tollens's Microsoft Academic ID is recorded as 134822415[13].
  • modus tollens's Treccani's Dizionario di Filosofia ID is recorded as modus-tollens[14].
  • modus tollens's Lex ID is recorded as modus_tollens[15].
  • modus tollens's Great Russian Encyclopedia portal ID is recorded as modus-tollens-47c61a[16].

Why It Matters

modus tollens ranks in the top 6% of theorem entities by monthly Wikipedia readership (476 views/month).[2] It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[17] It is known by 13 alternative names across languages and contexts.[18]

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] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . 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). modus tollens. Retrieved May 3, 2026, from https://4ort.xyz/entity/modus-tollens
MLA “modus tollens.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/modus-tollens.
BibTeX @misc{4ortxyz_modus-tollens_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{modus tollens}}, year = {2026}, url = {https://4ort.xyz/entity/modus-tollens}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): modus tollens — https://4ort.xyz/entity/modus-tollens (retrieved 2026-05-03)

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