What is a truth-value gap?

Linguistics and Philosophy 37 (6):503-534 (2014)
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Abstract

Truth-value gaps have received little attention from a foundational perspective, a fact which has rightfully opened up gap theories to charges of vacuousness. This paper develops an account of the foundations of gap-like behavior which has some hope of avoiding such charges. I begin by reviewing and sharpening a powerful argument of Dummett’s to constrain the options that gap theorists have to make sense of their views. I then show that within these strictures, we can give an account of gaps by drawing on elements of a broadly Stalnakerian framework for assertion and using gaps to track an amalgamation of assertoric effects. The discussion reveals that we may need special resources in our theories of assertion to posit gaps, that gaps may be unusable in characterizing the structure of mental states, and that gaps may have heterogeneous linguistic sources that result in equally heterogeneous projective and inferential behavior

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James R. Shaw
University of Pittsburgh

Citations of this work

A Bridge From Semantic Value to Content.Brian Rabern - 2017 - Philosophical Topics 45 (2):181-207.
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The Paradox of Classical Reasoning.Arkady Bolotin - 2022 - Foundations of Physics 52 (4):1-21.
Indeterminacy and Normativity.Giulia Pravato - 2022 - Erkenntnis 87 (5):2119-2141.
Logical Form and the Limits of Thought.Manish Oza - 2020 - Dissertation, University of Toronto

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References found in this work

Meaning.Herbert Paul Grice - 1957 - Philosophical Review 66 (3):377-388.
In Contradiction: A Study of the Transconsistent.Graham Priest - 1987 - Dordrecht, Netherland: Oxford University Press.
Scorekeeping in a Language Game.David Lewis - 1979 - Journal of Philosophical Logic 8 (1):339--359.
Outline of a Theory of Truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.

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