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LogicDenoting a relation which never holds between a term and itself.

*‘G is an irreflexive, asymmetric and transitive relation.’**‘A relation on a set is irreflexive provided that no element is related to itself.’**‘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.’**‘But it is not irreflexive either, since 1 is related to itself.’*

**Pronunciation**

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