A Paraconsistentist Approach to Chisholm's Paradox
Principia: An International Journal of Epistemology 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.Author Profiles
DOI
10.5007/1808-1711.2009v13n3p299
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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.
Multimodal Incompleteness Under Weak Negations.Juliana Bueno-Soler - 2013 - Logica Universalis 7 (1):21-31.
References found in this work
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 - 2006 - In Dov Gabbay & John Woods (eds.), The Handbook of the History of Logic, vol. 7: Logic and the Modalities in the Twentieth Century. Elsevier Press. pp. 197-288.
