nontransitivity

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noun

The property of a binary relation that is not transitive; that is, there exist x, y, and z such that Rxy and Ryz hold but Rxz does not hold.

Opposite
Scrabble 21

Meanings

nounnontransitivity (uncountable)
  1. uncountablehuman sciencesThe property of a binary relation that is not transitive; that is, there exist x, y, and z such that Rxy and Ryz hold but Rxz does not hold.

    The relation is called nontransitive if it is not transitive, i.e., if there exist x, y, z with xRy, yRz, and not xRz.

    1998, Hans Hermes, Introduction to Mathematical Logic, Springer, page 142

    Synonyms: intransitivity

Synonyms & antonyms

nounThe property of a binary relation that is not transitive; that is, there exist x, y, and z such that Rxy and Ryz hold but Rxz does not hold.

Opposite

Origin

Cite this entry
APA

nontransitivity. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/nontransitivity

MLA

“nontransitivity.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/nontransitivity. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “nontransitivity,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/nontransitivity.

Source: nontransitivity on Wiktionary, CC BY-SA 4.0.