Word.ws English Dictionary

nontransitivity

nontransitivity 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.

Noun

nontransitivity (uncountable)

  1. 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.
    • 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 of nontransitivity

Antonyms

Origin of nontransitivity

From non- + transitivity.

Questions about nontransitivity

What does nontransitivity mean?
Nontransitivity means 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.
What part of speech is nontransitivity?
Nontransitivity is a noun.

Words near nontransitivity in the dictionary

  1. nontransition
  2. nontransitional
  3. nontransitioning
  4. nontransitive
  5. nontransitively
  6. nontransitivity
  7. nontransitory
  8. nontranslatable
  9. nontranslated
  10. nontranslational
  11. nontranslocated

Source and license

Adapted from Wiktionary: nontransitivity (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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