Vagueness as closeness

Australasian Journal of Philosophy 83 (2):157 – 183 (2005)
Abstract
This paper presents and defends a definition of vagueness, compares it favourably with alternative definitions, and draws out some consequences of accepting this definition for the project of offering a substantive theory of vagueness. The definition is roughly this: a predicate 'F' is vague just in case for any objects a and b, if a and b are very close in respects relevant to the possession of F, then 'Fa' and 'Fb' are very close in respect of truth. The definition is extended to cover vagueness of many-place predicates, of properties and relations, and of objects. Some of the most important advantages of the definition are that it captures the intuitions which motivate the thought that vague predicates are tolerant, without leading to contradiction, and that it yields a clear understanding of the relationships between higher-order vagueness, sorites susceptibility, blurred boundaries, and borderline cases. The most notable consequence of the definition is that the correct theory of vagueness must countenance degrees of truth.
Keywords vagueness  definitions of vagueness  sorites  blurred boundaries  degrees of truth
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DOI 10.1080/00048400500110826
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References found in this work BETA
Vagueness: A Minimal Theory.Patrick Greenough - 2003 - Mind 112 (446):235-281.
There Are No Ordinary Things.Peter Unger - 1979 - Synthese 41 (2):117 - 154.
Worldly Indeterminacy: A Rough Guide.Nicholas J. J. Smith & Gideon Rosen - 2004 - Australasian Journal of Philosophy 82 (1):185 – 198.
On the Coherence of Vague Predicates.Crispin Wright - 1975 - Synthese 30 (3-4):325--65.
Vagueness Without Ignorance.Cian Dorr - 2003 - Philosophical Perspectives 17 (1):83–113.

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Citations of this work BETA
Just What is Vagueness?Otávio Bueno & Mark Colyvan - 2012 - Ratio 25 (1):19-33.
Does Vagueness Exclude Knowledge?D. Barnett - 2011 - Philosophy and Phenomenological Research 82 (1):22 - 45.
Quantum Mechanics and Metaphysical Indeterminacy.George Darby - 2010 - Australasian Journal of Philosophy 88 (2):227-245.
Verities, the Sorites, and Theseus’ Ship.Igor Douven - 2017 - Synthese 194 (10):3867-3878.

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