nontransitivity
nounEtymology From non- + transitivity.
1
Human sciences, Logic, Mathematics, Philosophy, Sciences 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
- Antonyms
- transitivity
- Coordinate terms
- antitransitivity