Definition of "irreflexive" [irreflexive]

• Of a binary relation R on X: such that no element of X is R-related to itself. (adjective)

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• "Given that "exemplifies" picks out a two-term irreflexive and asymmetrical relation, God cannot be identical with existence."
• "Due to the domain and the range of G being disjunctive sets, the relation G has the following formal features: it is irreflexive, asymmetric, and transitive; moreover, G is many-one, but not one-many."
• "The relation of having opposite spin that is had by electrons in the singlet state is clearly such an irreflexive relation and Saunders argues that, since by Leibniz's law, the holding of an irreflexive relation aRb entails the existence of distinct relata a and"