Why paraconsistent logic can only tell half the truth
Mind 111 (444):741-749 (2002)
| Abstract | The aim of this paper is to show that Graham Priest's dialetheic account of semantic paradoxes and the paraconsistent logics employed cannot achieve semantic universality. Dialetheism therefore fails as a solution to semantic paradoxes for the same reason that consistent approaches did. It will be demonstrated that if dialetheism can express its own semantic principles, a strengthened liar paradox will result, which renders dialetheism trivial. In particular, the argument is not invalidated by relational valuations, which were brought into paraconsistent logic in order to avoid strengthened liar paradoxes. | |||||||||
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Graham Priest (2006). Doubt Truth to Be a Liar. Oxford University Press.
Hartry Field (2007). Solving the Paradoxes, Escaping Revenge. In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
Marcelo E. Coniglio & Newton M. Peron (2009). A Paraconsistentist Approach to Chisholm's Paradox. Principia 13 (3):299-326.
Graham Priest (1991). Minimally Inconsistent LP. Studia Logica 50 (2):321 - 331.
Greg Restall (2002). Paraconsistency Everywhere. Notre Dame Journal of Formal Logic 43 (3):147-156.
Jason Zarri (2010). A Dilemma for Dialetheism. The Dualist 15 (Spring):21-31.
Bryson Brown (1999). Yes, Virginia, There Really Are Paraconsistent Logics. Journal of Philosophical Logic 28 (5):489-500.
Kevin Scharp (forthcoming). Truth, the Liar, and Relativism. Philosophical Review.
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