A new formulation of discussive logic

Studia Logica 38 (4):429 - 445 (1979)
S. Jakowski introduced the discussive prepositional calculus D 2as a basis for a logic which could be used as underlying logic of inconsistent but nontrivial theories (see, for example, N. C. A. da Costa and L. Dubikajtis, On Jakowski's discussive logic, in Non-Classical Logic, Model Theory and Computability, A. I. Arruda, N. C. A da Costa and R. Chuaqui edts., North-Holland, Amsterdam, 1977, 37–56). D 2has afterwards been extended to a first-order predicate calculus and to a higher-order logic (cf. the quoted paper). In this paper we present a natural version of D 2, in the sense of Jakowski and Gentzen; as a consequence, we suggest a new formulation of the discussive predicate calculus (with equality). A semantics for the new calculus is also presented.
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DOI 10.1007/BF00370480
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References found in this work BETA
On the Theory of Inconsistent Formal Systems.Newton C. A. Da Costa - 1974 - Notre Dame Journal of Formal Logic 15 (4):497-510.
Logic for Mathematicians.J. Barkley Rosser - 1953 - Dover Publications.
Alpha-Models and Systems T and T.Newton C. A. da Costa - 1974 - Notre Dame Journal of Formal Logic 15:443.
Discussive Sentential Calculus of Jaśkowski.Jerzy Kotas - 1975 - Studia Logica 34 (2):149-168.

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An Adaptive Logic Based on Jaśkowskiˈs Approach to Paraconsistency.Joke Meheus* - 2006 - Journal of Philosophical Logic 35 (6):539-567.

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