Supervaluationism and logical consequence: A third way

Studia Logica 90 (3):291 - 312 (2008)
It is often assumed that the supervaluationist theory of vagueness is committed to a global notion of logical consequence, in contrast with the local notion characteristic of modal logics. There are, at least, two problems related to the global notion of consequence. First, it brings some counterexamples to classically valid patterns of inference. Second, it is subject to an objection related to higher-order vagueness . This paper explores a third notion of logical consequence, and discusses its adequacy for the supervaluationist theory. The paper proceeds in two steps. In the first step, the paper provides a deductive notion of consequence for global validity using the tableaux method. In the second step, the paper provides a notion of logical consequence which is an alternative to global validity, and discusses i) whether it is acceptable to the supervaluationist and ii) whether it plays a better role in a theory of vagueness in the face of the problems related to the global notion.
Keywords Philosophy   Computational Linguistics   Mathematical Logic and Foundations   Logic
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References found in this work BETA
Timothy Williamson (2004). Reply to McGee and McLaughlin. Linguistics and Philosophy 27 (1):113-122.

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Pablo Cobreros (2013). Vagueness: Subvaluationism. Philosophy Compass 8 (5):472-485.
Elia Zardini (2013). Higher-Order Sorites Paradox. Journal of Philosophical Logic 42 (1):25-48.
Dennis Earl (2010). Vague Analysis. Metaphysica 11 (2):223-233.

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