The Logics of Strict-Tolerant Logic

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

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Author Profiles

Eduardo Alejandro Barrio
Universidad de Buenos Aires (UBA)
Lucas Rosenblatt
Universidad de Buenos Aires (UBA)

References found in this work

In contradiction: a study of the transconsistent.Graham Priest - 1987 - New York: Oxford University Press.
Saving truth from paradox.Hartry H. Field - 2008 - New York: 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 - New York: Oxford University Press.

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