Editing Intransitivity (section)

{{About|intransitivity in mathematics||Intransitive (disambiguation)}}
{{Short description|Property of mathematical relations}}
In [[mathematics]], '''intransitivity''' (sometimes called '''nontransitivity''') is a property of [[binary relation]]s that are not [[transitive relation]]s.  That is, we can find three values <math>a</math>, <math>b</math>, and <math>c</math> where the transitive condition does not hold.  

'''Antitransitivity''' is a [[Mathematical jargon#stronger|stronger property]] which describes a relation where, for any three values, the transitivity condition never holds.

Some authors use the term {{em|intransitive}} to refer to  antitransitivity.<ref>{{Cite web |url=http://www.jgsee.kmutt.ac.th/exell/Logic/Logic42.htm#33 |title=Guide to Logic, Relations II<!-- Bot generated title --> |access-date=2006-07-13 |archive-url=https://web.archive.org/web/20080916115323/http://www.jgsee.kmutt.ac.th/exell/Logic/Logic42.htm#33 |archive-date=2008-09-16 |url-status=dead }}</ref><ref>{{Cite web |url=http://www.virtual.cvut.cz/kifb/en/concepts/_intransitive_relation.html |title=IntransitiveRelation<!-- Bot generated title --> |access-date=2006-07-13 |archive-url=https://web.archive.org/web/20160303172324/http://www.virtual.cvut.cz/kifb/en/concepts/_intransitive_relation.html |archive-date=2016-03-03 |url-status=dead }}</ref>