Definition of irreflexive in English:
irreflexive
adjectiveɪrɪˈflɛksɪvˌirəˈfleksiv
Logic Denoting a relation which never holds between a term and itself.
Example sentencesExamples
- A strict order is one that is irreflexive and transitive; such an order is also trivially antisymmetric.
- Since this cannot be true, the statement x not-R x must be true; therefore R is irreflexive.
- G is an irreflexive, asymmetric and transitive relation.
- But it is not irreflexive either, since 1 is related to itself.
- A relation on a set is irreflexive provided that no element is related to itself.