Meanings
- 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 142Synonyms: 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.
Origin
Cite this entry
nontransitivity. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/nontransitivity
“nontransitivity.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/nontransitivity. Accessed November 3, 2026.
WatkinsX Dictionary, s.v. “nontransitivity,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/nontransitivity.
Source: nontransitivity on Wiktionary, CC BY-SA 4.0.