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antitransitivity

noun

The property of a binary relation that holds that if Rxy and Ryz, then not Rxz.

Opposite

Scrabble 22

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Meanings

nounantitransitivity (uncountable)

uncountablehuman sciencesThe property of a binary relation that holds that if Rxy and Ryz, then not Rxz.
The relation is antitransitive if whenever xRy and yRz hold, xRz does not hold.
1994, Herbert B. Enderton, A Mathematical Introduction to Logic, Academic Press, page 106

Synonyms & antonyms

Opposite

Origin

From anti- + transitivity.

Full word history & related roots →

Cite this entry

APA

antitransitivity. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/antitransitivity

MLA

“antitransitivity.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/antitransitivity. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “antitransitivity,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/antitransitivity.

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