trichotomy law

law (every real number is either positive, negative, or zero)
Thing mathematical_property Q2713184
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trichotomy law

Summary

trichotomy law is a mathematical property[1]. It draws 49 Wikipedia views per month (mathematical_property category, ranking #11 of 26).[2]

Key Facts

  • trichotomy law's instance of is recorded as mathematical property[3].
  • trichotomy law's Freebase ID is recorded as /m/020szl[4].
  • trichotomy law's described by source is recorded as Dictionary.com[5].
  • trichotomy law's Encyclopædia Britannica Online ID is recorded as topic/trichotomy-law[6].
  • trichotomy law's different from is recorded as trichotomy[7].
  • trichotomy law's defining formula is recorded as \forall x \in \mathbb{R} \, \forall y \in \mathbb{R} \, ( ( x < y \, \land \, \lnot (y < x) \, \land \, \lnot( x = y )\, ) \lor \, ( \lnot(x < y) \, \land \, y < x \, \land \, \lnot( x = y) \, ) \lor \, ( \lnot(x < y) \, \land \, \lnot( y < x) \, \land \, x = y \, \, ) )<sup id="cite-C6" class="cite-ref" title="trichotomy law — defining formula (P2534): \forall x \in \mathbb{R} \, \forall y \in \mathbb{R} \, ( ( x < y \, \land \, \lnot (y < x) \, \land \, \lnot( x = y )\, ) \lor \, ( \lnot(x < y) \, \land \,">[8].
  • trichotomy law's MathWorld ID is recorded as TrichotomyLaw[9].
  • trichotomy law's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • trichotomy law's Microsoft Academic ID is recorded as 108963864[11].
  • trichotomy law's PlanetMath ID is recorded as LawOfTrichotomy[12].
  • trichotomy law's characteristic of is recorded as set of real numbers[13].

Why It Matters

trichotomy law draws 49 Wikipedia views per month (mathematical_property category, ranking #11 of 26).[2] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[14] It is known by 11 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] . Freebase Data Dumps. 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). trichotomy law. Retrieved May 3, 2026, from https://4ort.xyz/entity/trichotomy-law
MLA “trichotomy law.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/trichotomy-law.
BibTeX @misc{4ortxyz_trichotomy-law_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{trichotomy law}}, year = {2026}, url = {https://4ort.xyz/entity/trichotomy-law}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): trichotomy law — https://4ort.xyz/entity/trichotomy-law (retrieved 2026-05-03)

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