Philosophical Perspectives 30 (1):229-269 (2016)

Authors
Juhani Yli-Vakkuri
Australian Catholic University
Jon Litland
University of Texas at Austin
Abstract
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. 
Keywords Vagueness  Modality  Epistemicism  Supervaluationism  Ontic vagueness  Metaphysical possibility  Indeterminacy  Modal logic  Quantified modal logic  Free logic
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Reprint years 2017
DOI 10.1111/phpe.12088
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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.
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Citations of this work BETA

Epistemicism and Modality.Juhani Yli-Vakkuri - 2016 - Canadian Journal of Philosophy 46 (4-5):803-835.
Reply to Yli-Vakkuri.Timothy Williamson - 2016 - Canadian Journal of Philosophy 46 (4-5):839-851.

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