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intransitivity

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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, b, and c where the transitive condition does not hold.

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Contents
  • Intransitivity
  • Antitransitivity
  • Properties
  • Cycles
  • Occurrences in preferences<!--This section is linked from [[Preference (economics)]]-->
  • Likelihood
  • References
  • Further reading

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, b, and c where the transitive condition does not hold.

Antitransitivity is a stronger property which describes a relation where, for any three values, the transitivity condition never holds.

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