Vagueness & Modality—An Ecumenical Approach

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

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Author Profiles

Jon Litland
University of Texas at Austin
Juhani Yli-Vakkuri
Australian Catholic University

Citations of this work

Propositions and compositionality.Juhani Yli-Vakkuri - 2013 - Philosophical Perspectives 27 (1):526-563.
Derivative Indeterminacy.Kevin Richardson - forthcoming - Erkenntnis:1-17.
Epistemicism and modality.Juhani Yli-Vakkuri - 2016 - Canadian Journal of Philosophy 46 (4-5):803-835.
Defining Definiteness.Aleksander Domoslawski - 2023 - Ergo: An Open Access Journal of Philosophy 10.

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References found in this work

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Naming and Necessity.Saul Kripke - 1980 - Critica 17 (49):69-71.
Vagueness, truth and logic.Kit Fine - 1975 - Synthese 30 (3-4):265-300.
Vagueness.Timothy Williamson - 1995 - British Journal for the Philosophy of Science 46 (4):589-601.

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