Alethic undecidability and alethic indeterminacy

Synthese 199 (1-2):2563-2574 (2020)
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Abstract

The recent, short debate over the alethic undecidability of a Liar Sentence between Stephen Barker and Mark Jago is revisited. It is argued that Jago’s objections succeed in refuting Barker’s alethic undecidability solution to the Liar Paradox, but that, nevertheless, this approach may be revived as the alethic indeterminacy solution to the Liar Paradox. According to the alethic indeterminacy solution, there is genuine metaphysical indeterminacy as to whether a Liar Sentence bears an alethic property, whether truth or falsity. While the alethic indeterminacy solution is presented here, and some revenge cases are considered and addressed, the primary aim of this paper is to revive and defend this underexplored and auspicious approach to solving the Liar Paradox.

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Jay Newhard
East Carolina University

References found in this work

Theory of knowledge.Roderick M. Chisholm - 1966 - Englewood Cliffs, N.J.,: Prentice-Hall.
Understanding Truth.Scott Soames - 1998 - Oxford and New York: Oxford University Press USA.
Replacing Truth.Kevin Scharp - 2013 - Oxford, England: Oxford University Press UK.
Spandrels of truth.J. C. Beall - 2009 - New York: Oxford University Press.
A Theory of Metaphysical Indeterminacy.Elizabeth Barnes & J. Robert G. Williams - 2011 - In Karen Bennett & Dean W. Zimmerman, Oxford Studies in Metaphysics Volume 6. Oxford, GB: Oxford University Press. pp. 103-148.

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