Lucas Rosenblatt
University of Buenos Aires
It is part of the current wisdom that the Liar and similar semantic paradoxes can be taken care of by the use of certain non-classical multivalued logics. In this paper I want to suggest that bivalent logic can do just as well. This is accomplished by using a non-deterministic matrix to define the negation connective. I show that the systems obtained in this way support a transparent truth predicate. The paper also contains some remarks on the conceptual interest of such systems.
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DOI 10.26686/ajl.v12i1.2082
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References found in this work BETA

Saving Truth From Paradox.Hartry Field - 2008 - Oxford, England: 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.
An Introduction to Non-Classical Logic: From If to Is.Graham Priest - 2008 - Bulletin of Symbolic Logic 14 (4):544-545.

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Citations of this work BETA

Model-Theoretic Semantics and Revenge Paradoxes.Lorenzo Rossi - 2019 - Philosophical Studies 176 (4):1035-1054.
Two-Valued Weak Kleene Logics.Bruno da Ré & Damian Szmuc - 2019 - Manuscrito 42 (1):1-43.
Vague connectives.Paula Teijeiro - forthcoming - Philosophical Studies:1-20.
Subvaluationism and Classical Recapture.Paula Teijeiro - 2020 - Logic Journal of the IGPL 28 (5):832-844.

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