Intransitivity and Vagueness

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Intransitivity and Vagueness
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.
Joseph Y. Halpern
Added 02 Jul 2010
Updated 02 Jul 2010
Type Conference
Year 2004
Where KR
Authors Joseph Y. Halpern
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