Intransitivity and vagueness

Review of Symbolic Logic 1 (4):530-547 (2008)
Abstract
There are many examples in the literature that suggest that indistinguishability is intransitive, despite the fact that the indistinguishability relation is typically taken to be an equivalence relation (and thus transitive). It is shown that if the uncertainty perception and the question of when an agent reports that two things are indistinguishable are both carefully modeled, the problems disappear, and indistinguishability can indeed be taken to be an equivalence relation. Moreover, this model also suggests a logic of vagueness that seems to solve many of the problems related to vagueness discussed in the philosophical literature. In particular, it is shown here how the logic can handle the sorites paradox
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DOI 10.1017/S1755020308090084
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References found in this work BETA
Vagueness.Timothy Williamson - 1994 - Routledge.
Reasoning About Knowledge.Ronald Fagin (ed.) - 2003 - MIT Press.
Vagueness, Truth and Logic.Kit Fine - 1975 - Synthese 30 (3-4):265-300.
Vagueness and Contradiction.Roy A. Sorensen - 2001 - Oxford University Press.
Vagueness Without Paradox.Diana Raffman - 1994 - Philosophical Review 103 (1):41-74.

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Citations of this work BETA
Inexact Knowledge with Introspection.Denis Bonnay & Paul Égré - 2008 - Journal of Philosophical Logic 38 (2):179-227.
On Definability in Multimodal Logic.Joseph Y. Halpern, Dov Samet & Ella Segev - 2009 - Review of Symbolic Logic 2 (3):451-468.

View all 9 citations / Add more citations

Similar books and articles
Varieties of Vagueness.Trenton Merricks - 2001 - Philosophy and Phenomenological Research 62 (1):145-157.
Vagueness.Achille C. Varzi - 2003 - In Lynn Nadel (ed.), Encyclopedia of Cognitive Science, Vol. 4. Nature Publishing Group. pp. 459–464.
Intransitivity and Vagueness - Corrigendum.Joseph Y. Halpern - 2009 - Review of Symbolic Logic 2 (3):591-591.

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