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 (3,454 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 described by source is recorded as Q140169500[5].
  • modus tollens's maintained by WikiProject is recorded as WikiProject Mathematics[6].

Body

Definition and Type

Recorded instance of include theorem[3] and rule of inference[4].

Why It Matters

modus tollens ranks in the top 6% of theorem entities by monthly Wikipedia readership (3,454 views/month).[2] It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[7] It is known by 21 alternative names across languages and contexts.[8]

📑 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)

Canonical URL: https://4ort.xyz/entity/modus-tollens · 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. 20h ago · AddyLockPool · 2026-09-17 view diff on Wikidata ↗
    Instance of theorem, rule of inference
    Instance of
    Maintained by wikiproject WikiProject Mathematics
    Described by source Q140169500
    + 1 other property edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P1343]]: [[Q140169500]]"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.