Validity in Simple Partial Logic

Annals of the Japan Association for Philosophy of Science 10 (4):139-153 (2002)
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Abstract

Firstly I characterize Simple Partial Logic (SPL) as the generalization and extension of a certain two-valued logic. Based on the characterization I present two definitions of validity in SPL. Finally I show that given my characterization these two definitions are more appropriate than other definitions that have been prevalent, since both have some desirable semantic properties that the others lack.

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Daisuke Kachi
Saitama University

Citations of this work

An expansion of first-order Belnap-Dunn logic.K. Sano & H. Omori - 2014 - Logic Journal of the IGPL 22 (3):458-481.
Bourne on future contingents and three-valued logic.Daisuke Kachi - 2009 - Logic and Logical Philosophy 18 (1):33-43.
Tensed Ontology Based on Simple Partial Logic.Daisuke Kachi - 2002 - Proceedings of Ninth International Symposium on Temporal Representation and Reasoning: TIME-02:141-145.

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References found in this work

Philosophical problems in Logic.Karel Lambert (ed.) - 1970 - Dordrecht,: Reidel.
Logic and truth value gaps.Peter W. Woodruff - 1970 - In Karel Lambert, Philosophical problems in Logic. Dordrecht,: Reidel. pp. 121--142.
On supervaluations in free logic.Peter W. Woodruff - 1984 - Journal of Symbolic Logic 49 (3):943-950.

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