Vagueness & Modality—An Ecumenical Approach

Philosophical Perspectives 30 (1):229-269 (2016)
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How does vagueness interact with metaphysical modality and with restrictions of it, such as nomological modality? In particular, how do definiteness, necessity (understood as restricted in some way or not), and actuality interact? This paper proposes a model-theoretic framework for investigating the logic and semantics of that interaction. The framework is put forward in an ecumenical spirit: it is intended to be applicable to all theories of vagueness that express vagueness using a definiteness (or: determinacy) operator. We will show how epistemicists, supervaluationists, and theorists of metaphysical vagueness like Barnes and Williams (2010) can interpret the framework.  We will also present a complete axiomatization of the logic we recommend to both epistemicists and local supervaluationists. 
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First archival date: 2016-10-19
Latest version: 4 (2017-04-16)
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References found in this work BETA
Demonstratives: An Essay on the Semantics, Logic, Metaphysics and Epistemology of Demonstratives and Other Indexicals.David Kaplan - 1989 - In Joseph Almog, John Perry & Howard Wettstein (eds.), Themes From Kaplan. Oxford University Press. pp. 481-563.
A Theory of Metaphysical Indeterminacy.Barnes, Elizabeth & Williams, J. Robert G.

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Epistemicism and Modality.Yli-Vakkuri, Juhani
Reply to Yli-Vakkuri.Williamson, Timothy

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