material implication

logical connective between two assertions, frequently symbolized by a (most often double) arrow to the right
Thing logical_operator Q7881229
material implication
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material implication

Summary

material implication is a logical operator[1]. It draws 372 Wikipedia views per month (logical_operator category, ranking #2 of 7).[2]

Key Facts

  • material implication's image is recorded as Venn1011.svg[3].
  • material implication's instance of is recorded as logical operator[4].
  • material implication's instance of is recorded as Boolean function[5].
  • material implication's subclass of is recorded as proposition[6].
  • material implication's Commons category is recorded as Material conditional[7].
  • material implication's Unicode character is recorded as ⟹[8].
  • material implication's Unicode character is recorded as →[9].
  • material implication's Unicode character is recorded as ⇒[10].
  • material implication's Unicode character is recorded as ⟶[11].
  • material implication's Freebase ID is recorded as /m/030fgd[12].
  • material implication's OmegaWiki Defined Meaning is recorded as 415251[13].
  • material implication's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[14].
  • material implication's Encyclopædia Britannica Online ID is recorded as topic/material-implication[15].
  • material implication's Encyclopædia Britannica Online ID is recorded as topic/implication[16].
  • material implication's main Wikidata property is recorded as P7719[17].
  • material implication's different from is recorded as logical consequence[18].
  • material implication's different from is recorded as material implication[19].
  • material implication's TeX string is recorded as \rightarrow[20].
  • material implication's TeX string is recorded as \DoubleRightArrow[21].
  • material implication's TeX string is recorded as \DoubleLongRightArrow[22].
  • material implication's TeX string is recorded as \longrightarrow[23].
  • material implication's defining formula is recorded as P \rightarrow Q[24].
  • material implication's studied by is recorded as Boolean algebra[25].
  • material implication's MathWorld ID is recorded as Implies[26].
  • material implication's Great Russian Encyclopedia Online ID is recorded as 2181609[27].

Why It Matters

material implication draws 372 Wikipedia views per month (logical_operator category, ranking #2 of 7).[2] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[28] It is known by 42 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] . 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] . Freebase Data Dumps. wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . sublimina.it. sublimina.it. Provenance: 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] . 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). material implication. Retrieved May 3, 2026, from https://4ort.xyz/entity/material-implication
MLA “material implication.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/material-implication.
BibTeX @misc{4ortxyz_material-implication_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{material implication}}, year = {2026}, url = {https://4ort.xyz/entity/material-implication}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): material implication — https://4ort.xyz/entity/material-implication (retrieved 2026-05-03)

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