Vagueness: Subvaluationism

Philosophy Compass 8 (5):472-485 (2013)

Pablo Cobreros
Universidad de Navarra
Supervaluationism is a well known theory of vagueness. Subvaluationism is a less well known theory of vagueness. But these theories cannot be taken apart, for they are in a relation of duality that can be made precise. This paper provides an introduction to the subvaluationist theory of vagueness in connection to its dual, supervaluationism. A survey on the supervaluationist theory can be found in the Compass paper of Keefe (2008); our presentation of the theory in this paper will be short to get rapidly into the logical issues. This paper is relatively self-contained. A modest background on propositional modal logic is, though not strictly necessary, advisable. The reader might find useful the Compass papers Kracht (2011) and Negri (2011) (though these papers cover issues of more complexity than what is demanded to follow this paper)
Keywords Vagueness  survey paper  s'valuationism  modal semantics  dual logics
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DOI 10.1111/phc3.12030
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References found in this work BETA

Modal Logic.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2002 - Cambridge University Press.
Vagueness.Timothy Williamson - 1994 - Routledge.
Theories of Vagueness.Rosanna Keefe - 2007 - Cambridge University Press.
Vagueness, Truth and Logic.Kit Fine - 1975 - Synthese 30 (3-4):265-300.

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Citations of this work BETA

Fine’s McTaggart: Reloaded.Roberto Loss - 2017 - Manuscrito: Revista Internacional de Filosofía 40 (1):209-239.
Paraconsistent Logic.David Ripley - 2015 - Journal of Philosophical Logic 44 (6):771-780.
Valuations: Bi, Tri, and Tetra.Rohan French & David Ripley - forthcoming - Studia Logica:1-34.
Supervaluationism: Truth, Value and Degree Functionality.Pablo Cobreros & Luca Tranchini - 2014 - Thought: A Journal of Philosophy 3 (2):136-144.
Foreword: Three-Valued Logics and Their Applications.Pablo Cobreros, Paul Égré, David Ripley & Robert van Rooij - 2014 - Journal of Applied Non-Classical Logics 24 (1-2):1-11.

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