Where does “nontransitivity” come from?

nontransitivity (English) comes from English transitivity, from French transitivité, from French transitif, from Dutch transitief, from Latin trānsitīvus, from Latin trānsitus, from Latin trānseō, from Latin trāns — smoke; mist, haze.

nontransitivity (English): 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

Definitions

  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

Ancestry of “nontransitivity”, step by step

nontransitivity traces back through two separate lines of ancestry.

via English transitivity

StepLanguageWordMeaning
1EnglishtransitivityThe degree in which any one verb can take/govern...
2Frenchtransitivitétransitivity
3Frenchtransitiftransitive
4Dutchtransitieftransitive
5Latintrānsitīvustransiting passing over
6Latintrānsitustraversed, passed through
7Latintrānseōto traverse; cross, cross over; go across or over; pass, pass through, over or by
8Latintrānsacross, beyond
9LatinPadusthe River Po
10LeponticBodincus
11Proto-Indo-Europeanbʰudʰmḗnbottom
12Proto-Indo-Europeandʰewbʰ-deep
13Proto-Indo-Europeandʰewh₂-smoke; mist, haze

via English non

StepLanguageWordMeaning
1EnglishnonObsolete form of none
2Frenchnonno; not; a no, a negative response
3Old Frenchnonno; not; Alternative form of nom
4Latinnōnnot
5Old Latinnoenum
6Proto-Indo-Europeanóynosone; single
Every word from Proto-Indo-European dʰewh₂-Every word from Proto-Indo-European dʰewbʰ-Every word from Proto-Indo-European bʰudʰmḗn