Vagueness,uncertainty and degrees of clarity |
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Authors: | Paul Égré Denis Bonnay |
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Institution: | 1.Institut Jean-Nicod (EHESS/ENS/CNRS)/Département d’Etudes Cognitives de 1’ENS,Paris,France;2.IREPH,Université Paris Ouest-Nanterre-La Défense,Paris,France;3.IHPST/Département d’Etudes Cognitives de 1’ENS,Paris,France |
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Abstract: | In this paper we compare different models of vagueness viewed as a specific form of subjective uncertainty in situations of
imperfect discrimination. Our focus is on the logic of the operator “clearly” and on the problem of higher-order vagueness.
We first examine the consequences of the notion of intransitivity of indiscriminability for higher-order vagueness, and compare
several accounts of vagueness as inexact or imprecise knowledge, namely Williamson’s margin for error semantics, Halpern’s
two-dimensional semantics, and the system we call Centered semantics. We then propose a semantics of degrees of clarity, inspired
from the signal detection theory model, and outline a view of higher-order vagueness in which the notions of subjective clarity
and unclarity are handled asymmetrically at higher orders, namely such that the clarity of clarity is compatible with the
unclarity of unclarity. |
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Keywords: | |
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