Journal of Philosophical Logic 44 (5):551-571 (2015)

Authors
Eduardo Alejandro Barrio
Universidad de Buenos Aires (UBA)
Lucas Rosenblatt
University of Buenos Aires
Abstract
Adding a transparent truth predicate to a language completely governed by classical logic is not possible. The trouble, as is well-known, comes from paradoxes such as the Liar and Curry. Recently, Cobreros, Egré, Ripley and van Rooij have put forward an approach based on a non-transitive notion of consequence which is suitable to deal with semantic paradoxes while having a transparent truth predicate together with classical logic. Nevertheless, there are some interesting issues concerning the set of metainferences validated by this logic. In this paper, we show that this logic, once it is adequately understood, is weaker than classical logic. Moreover, the logic is in a way similar to the paraconsistent logic LP
Keywords Transparent truth  Strict-tolerant logic  Semantic paradoxes  Transitivity  Substructural logic
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DOI 10.1007/s10992-014-9342-6
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References found in this work BETA

Saving Truth From Paradox.Hartry H. Field - 2008 - Oxford, England: Oxford University Press.
In Contradiction: A Study of the Transconsistent.Graham Priest - 1987 - Dordrecht, Netherland: Oxford University Press.
Outline of a Theory of Truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Spandrels of Truth.J. C. Beall - 2009 - Oxford, England: Oxford University Press.

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