A Paraconsistentist Approach to Chisholm's Paradox

Principia 13 (3):299-326 (2009)
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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Greg Restall (2002). Paraconsistency Everywhere. Notre Dame Journal of Formal Logic 43 (3):147-156.
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