A Paraconsistentist Approach to Chisholm's Paradox

Principia: An International Journal of Epistemology 13 (3):299-326 (2009)
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Abstract

The Logics of Deontic (In)Consistency (LDI's) can be considered as the deontic counterpart of the paraconsistent logics known as Logics of Formal (In)Consistency. This paper introduces and studies new LDI's and other paraconsistent deontic logics with different properties: systems tolerant to contradictory obligations; systems in which contradictory obligations trivialize; and a bimodal paraconsistent deontic logic combining the features of previous systems. These logics are used to analyze the well-known Chisholm's paradox, taking profit of the fact that, besides contradictory obligations do not trivialize in LDI's, several logical dependencies of classical logic are blocked in the context of LDI's, allowing to dissolve the paradox.

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Author Profiles

Marcelo E. Coniglio
University of Campinas
Marcelo Coniglio
University of Campinas

Citations of this work

Completeness and incompleteness for anodic modal logics.Juliana Bueno-Soler - 2009 - Journal of Applied Non-Classical Logics 19 (3):291-310.

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