Authors
Marcelo E. Coniglio
University of Campinas
Marcelo Coniglio
University of Campinas
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.
Keywords Paraconsistent logic  Deontic logic  Deontic paradoxes  Chisholm’s paradox  Moral dilemmas  Logics of formal inconsistency  Paraconsistent deontic logic
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DOI 10.5007/1808-1711.2009v13n3p299
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References found in this work BETA

Modal Logic: An Introduction.Brian F. Chellas - 1980 - Cambridge University Press.
The Right and the Good.Some Problems in Ethics.W. D. Ross & H. W. B. Joseph - 1933 - Journal of Philosophy 30 (19):517-527.
Deontic Logic.Paul McNamara - 2010 - Stanford Encyclopedia of Philosophy.

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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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