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18897 | Predicate logic has to spell out that its identity relation '=' is an equivalent relation [Sommers] |
Full Idea: Because predicate logic contrues identities dyadically, its account of inferences involving identity propositions needs laws or axioms of identity, explicitly asserting that the dyadic realtion in 'x=y' possesses symmetry, reflexivity and transitivity. | |
From: Fred Sommers (Intellectual Autobiography [2005], 'Syllogistic') |