Synthese 198 (11):10923-10937 (2020)

Authors
Casper Storm Hansen
Institute of Philosophy, Chinese Academy of Sciences
Abstract
Radical glut and gap theorists deny—in opposite ways—that the liar sentence has exactly one of the two values true and not true. I describe a scenario where a signalman finds himself in a situation analogous to the liar paradox: if he lights a fire at a certain time, that is analogous to the liar being true, and if he does not, that is analogous to the liar not being true. It is obvious that he must make exactly one of those states of affairs come about. It is argued that there are no relevant differences between the liar and the signalman’s dilemma, implying that the glut and gap theorists are wrong about the former. A further point is that whether or not the liar is true/the signalman lights the fire, language/the signalman is misleading relative to the conditions under which the liar/the fire “ought” to be true/lit.
Keywords Truth   Liar paradox  Dialetheism  Gap theory  Inclosure schema
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DOI 10.1007/s11229-020-02759-0
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References found in this work BETA

Saving Truth From Paradox.Hartry H. 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.
The Law of Non-Contradiction as a Metaphysical Principle.Tuomas Tahko - 2009 - Australasian Journal of Logic 7:32-47.

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