Paraconsistency and analyticity

Carlos A. Oller

DOI: http://dx.doi.org/10.12775/LLP.1999.008

Abstract


William Parry conceived in the early thirties a theory of entailment, the theory of analytic implication, intended to give a formal expression to the idea that the content of the conclusion of a valid argument must be included in the content of its premises. This paper introduces a system of analytic, paraconsistent and quasi-classical propositional logic that does not validate the paradoxes of Parry’s analytic implication. The interpretation of the expressions of this logic will be given in terms of a four-valued semantics, and its proof theory will be provided by a system of signed semantic tableaux that incorporates the techniques developed to improve the efficiency of the tableaux method for many-valued logics.

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References


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