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Intransitivity: Occurrences in preferences, Antitransitivity & Cycles

In mathematics, intransitivity (sometimes called nontransitivity) is a property of binary relations that are not transitive relations. That is, we can find three values a {\displaystyle a} , b {\displaystyle b} , and c {\displaystyle c} where the transitive condition does not hold.

Language: English [EN]
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Intransitivity topic overview

The analysis highlights Occurrences in preferences, Antitransitivity and Cycles as prominent areas in the source structure around Intransitivity.

Related topics
35
Source areas
6
Connected nodes
41
Extracted relationships
37
Concept neighborhoods
17
Bridge connections
41

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Occurrences in preferences · 12 topics
Antitransitivity · 6 topics
Cycles · 6 topics
Likelihood · 5 topics
Overview · 4 topics
Intransitivity · 2 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Intransitivity

Antitransitivity

Cycles

Occurrences in preferences

Likelihood

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Intransitivity connects Entity context

The extracted context around Intransitivity shows recurring relationship patterns in the source. For example, Intransitivity → Alexander, Anand, Bar-Hillel, Bibcode, Complexity, Decision, Entropy, Foundations, How, Journal, Klimenko, Margalit, Oxford, Oxford University Press, PDF, Rational Choice Under Risk, Real World, S2CID, Systems Engineering, Systems Science Another extracted example is Intransitivity → Analogously, Anand, Condorcet, Economists, In, Intransitive, This. Use these groups to spot repeated connection types before inspecting the individual relationships.

Intransitivity

Top relations

related to Further reading · 21
Intransitivity → Alexander, Anand, Bar-Hillel, Bibcode, Complexity, Decision, Entropy, Foundations, How, Journal, Klimenko, Margalit, Oxford, Oxford University Press, PDF, Rational Choice Under Risk, Real World, S2CID, Systems Engineering, Systems Science
related to Occurrences in preferences · 7
Intransitivity → Analogously, Anand, Condorcet, Economists, In, Intransitive, This
related to Likelihood · 4
Intransitivity → Condorcet, For, In, It
related to Cycles · 3
Intransitivity → BB, CC, The

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

relation example transitive intransitive antitransitive displaystyle antitransitivity condition also true loop preferred values preferences cycle rock paper scissors hold transitivity

Intransitivity relationships Subject–Predicate–Object triples

TTTA extracted 37 structured relationships around Intransitivity. Examples in this analysis include by order of social consciousness or by order of most fiscally conservative.In such cases intransitivity reduces to a broader equation of numbers of people → instance of → voters may prefer candidates on several different units of measure and Intransitivity → related to Cycles → The. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
by order of social consciousness or by order of most fiscally conservative.In such cases intransitivity reduces to a broader equation of numbers of peopleinstance ofvoters may prefer candidates on several different units of measure0.80text
the weights of their units of measure in assessing candidates.Such asinstance ofvoters may prefer candidates on several different units of measure0.80text
Intransitivityrelated to CyclesThe0.60section
Intransitivityrelated to CyclesBB0.60section
Intransitivityrelated to CyclesCC0.60section
Intransitivityrelated to Further readingAnand0.60section
Intransitivityrelated to Further readingFoundations0.60section
Intransitivityrelated to Further readingRational Choice Under Risk0.60section
Intransitivityrelated to Further readingOxford0.60section
Intransitivityrelated to Further readingOxford University Press0.60section
Intransitivityrelated to Further readingBar-Hillel0.60section
Intransitivityrelated to Further readingMargalit0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Intransitivity bring nearby vocabulary together. In this analysis, examples include Preferences, Preference and Loop. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • intransitive dice
    • Relation
    • Transitive
    • Example
    • Arb
    • Arc
    • Brc
    • Forall
    • Implies
    • Land
    • Lnot
    • Notice
    • Since
  • equivalence relation
    • Antitransitive
    • Transitive
    • Example
    • Intransitive
    • Arb
    • Arc
    • Brc
    • Forall
    • Implies
    • Irreflexive
    • Land
    • Lnot
  • antitransitivity
    • Three
    • Values
    • Condition
    • Property
    • Arb
    • Arc
    • Brc
    • Forall
    • Holds
    • Implies
    • Irreflexive
    • Land
  • Intransitivity
    • Preferences
    • Preference
    • Loop
    • Game
    • Transitive
    • Property
    • Binary
    • Relation
    • Cycle
    • Cycles
    • Values
    • Antitransitivity
  • intransitivity
    • Preferences
    • Preference
    • Loop
    • Game
    • Transitive
    • Property
    • Binary
    • Relation
    • Cycle
    • Cycles
    • Values
    • Antitransitivity
  • transitive relations
    • Relation
    • Cycles
    • Values
    • Antitransitivity
    • Also
    • Intransitive
    • Example
    • Irreflexive
    • Notice
    • Cycle
    • Preference
    • Preferences
  • system of values
    • Three
    • Condition
    • Hold
    • Antitransitivity
    • Property
    • Holds
    • Never
    • Preferences
    • Transitive
    • Transitivity
    • Displaystyle
    • Intransitivity
  • preferences
    • Game
    • Preference
    • Values
    • Paper
    • Rock
    • Scissors
    • Loop
    • Preferred
    • Intransitive
    • Transitive
    • Relation

Connections between topic areas Semantic bridges

For Intransitivity, one of the stronger structural bridges in this analysis connects Intransitivity with Occurrences in preferences. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Intransitivity — Occurrences in preferences · splits 29 ⟂ 13
Intransitivity — Antitransitivity · splits 35 ⟂ 7
Intransitivity — Cycles · splits 35 ⟂ 7
Intransitivity — Likelihood · splits 36 ⟂ 6
Intransitivity — Overview · splits 37 ⟂ 5
Intransitivity — Intransitivity · splits 39 ⟂ 3

Map overview Semantic statistics

Intransitivity

Nodes42
Edges41
Triples37
Avg. degree1.95
Density0.047619
Components1

Source & methodology

TTTA analyzes the structure around Intransitivity to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Occurrences in preferences, Antitransitivity & Cycles, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Intransitivity · EN edition · Analysis: TopicsToTalkAbout

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