Synthese 195 (10):4441-4476 (2018)

Disagreeing with most authors on vagueness, the author proposes a solution that he calls ‘three-valued semantic pluralism’ to the age-old sorites paradox. In essence, it is a three-valued semantics for a first-order vague language with identity with the additional suggestion that a vague language has more than one correct interpretation. Unlike the traditional three-valued approach to a vague language, three-valued semantic pluralism can accommodate the phenomenon of higher-order vagueness and the phenomenon of penumbral connection when equipped with ‘suitable conditionals’. The author also shows that three-valued semantic pluralism is a natural consequence of a restricted form of the Tolerance principle ) and a few related ideas, and argues that ) is well-motivated by considerations about how we learn, teach, and use vague predicates.
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DOI 10.1007/s11229-017-1517-6
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Counterfactuals.David Kellogg Lewis - 1973 - Cambridge, MA, USA: Blackwell.
Saving Truth From Paradox.Hartry Field - 2008 - Oxford, England: Oxford University Press.

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