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.) - 1995 - MIT Press.
Theories of Vagueness.Rosanna Keefe - 2000 - Cambridge University Press.
Vagueness and Contradiction.Roy Sorensen - 2001 - Oxford University Press.
Vagueness, Truth and Logic.Kit Fine - 1975 - Synthese 30 (3-4):265-300.

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Citations of this work BETA
Inexact Knowledge with Introspection.Denis Bonnay & Paul Égré - 2009 - Journal of Philosophical Logic 38 (2):179-227.
First-Order Classical Modal Logic.Horacio Arló-Costa & Eric Pacuit - 2006 - Studia Logica 84 (2):171 - 210.

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Varieties of Vagueness.Trenton Merricks - 2001 - Philosophy and Phenomenological Research 62 (1):145-157.
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Intransitivity and Vagueness - Corrigendum.Joseph Y. Halpern - 2009 - Review of Symbolic Logic 2 (3):591-591.
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