Synonymy in sentential languages: a pragmatic view
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In this note two notions of meaning are considered and accordingly two versions of synonymy are defined, weaker and stronger ones. A new semantic device is introduced: a matrix is said to be pragmatic iff its algebra is in fact an algebra of meanings in the stronger sense. The new semantics is proved to be “universal enough” (Theorem 1), and it turns out to be in some sense a generalization of Wójcicki's referential semantics (Theorem 3).
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[2] Ryszard Wójcicki. Referential Matrix Semantics for Propositional Calculi , 1982 .
[3] R. Wójcicki,et al. Some remarks on the consequence operation in sentential logics , 1970 .