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Cuts and CloudsVagueness, its Nature, & its Logic$
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Richard Dietz and Sebastiano Moruzzi

Print publication date: 2010

Print ISBN-13: 9780199570386

Published to Oxford Scholarship Online: May 2010

DOI: 10.1093/acprof:oso/9780199570386.001.0001

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The Prospects of a Paraconsistent Response to Vagueness

The Prospects of a Paraconsistent Response to Vagueness

(p.385) 22 The Prospects of a Paraconsistent Response to Vagueness
Cuts and Clouds

Dominic Hyde

Oxford University Press

Paraconsistent responses to vagueness are often thought to represent a revision of logical theory that is too radical to be defensible. The paracomplete logic of supervaluationism, SpV, is not only taken to be more conservative but is also commonly said to ‘preserve classical logic’. This chapter argues that this is wrong on both counts. The paraconsistent logic SbV, or subvaluationism, is no less conservative than SpV nor more so. In the end both logics offer equally compelling theoretical approaches to vagueness. Each approach is also equally objectionable, with neither providing an adequate account of vagueness, but this criticism arises from a feature shared by each approach that is independent of their paracompleteness or paraconsistency per se. For all that has been said, a paraconsistent approach, and the associated recourse to truth-value gluts, remains a contender in accounting for vagueness.

Keywords:   vagueness, paracompleteness, paraconsistency, supervaluationism, subvaluationism

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