Sentences, strings, and truth

Abstract

The liar paradox can be shown semantically defective if we distinguish the /sentence/ ''snow is white' is true' from the /string/ that constitutes it. This paper develops the String-to-Sentence Theory of Truth---for short, String Theory---according to which, while the /string/ contains the string 'true', the /sentence/ is merely 'snow is white', which contains no such occurrence: more generally, a string like 'S is true' constitutes, relative to an assessor, the sentence which, to the assessor, means the same as S. So suppose we attempt to define a singular term 'L' referring to the sentence 'not: L is true'. Relative to an assessor, 'L' refers to the sentence negating the assessor's sentence meaning the same as the referent of 'L'. So the referent of 'L' means the same as its negation. But no sentence means the same as its negation, so 'L' does not refer. The act of naming with which the liar paradox commences is semantically defective; so there can be no liar paradox.

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Benj Hellie
University of Toronto at Scarborough

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References found in this work

The content and epistemology of phenomenal belief.David Chalmers - 2002 - In Aleksandar Jokic & Quentin Smith (eds.), Consciousness: New Philosophical Perspectives. New York: Oxford University Press. pp. 220--72.
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Scorekeeping in a language game.David Lewis - 1979 - Journal of Philosophical Logic 8 (1):339--359.
Scorekeeping in a Language Game.David Lewis - 1979 - Journal of Philosophical Logic 8 (3):339.
Future contingents and relative truth.John MacFarlane - 2003 - Philosophical Quarterly 53 (212):321–336.

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