Multi-Valued Semantics: Why and How

Studia Logica 92 (2):163 - 182 (2009)
According to Suszko's Thesis,any multi-valued semantics for a logical system can be replaced by an equivalent bivalent one. Moreover: bivalent semantics for families of logics can frequently be developed in a modular way. On the other hand bivalent semantics usually lacks the crucial property of analycity, a property which is guaranteed for the semantics of multi-valued matrices. We show that one can get both modularity and analycity by using the semantic framework of multi-valued non-deterministic matrices. We further show that for using this framework in a constructive way it is best to view "truth-values" as information carriers, or "information-values"
Keywords Philosophy   Computational Linguistics   Mathematical Logic and Foundations   Logic
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DOI 10.2307/40269060
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Newton C. A. Da Costa (1974). On the Theory of Inconsistent Formal Systems. Notre Dame Journal of Formal Logic 15 (4):497-510.

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