David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Synthese 174 (1):47 - 78 (2010)
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.
|Keywords||Higher-order vagueness Clarity Imperfect discrimination Inexact knowledge Non-transitivity Signal detection theory Centered semantics Epistemic logic Uncertainty Metacognition|
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References found in this work BETA
Denis Bonnay & Paul Égré (2009). Inexact Knowledge with Introspection. Journal of Philosophical Logic 38 (2):179 - 227.
Denis Bonnay & Paul Egré (2008). Margins for Error in Context. In G. Carpintero & M. Koelbel (eds.), Relative Truth. Oxford University Press. 103--107.
Delia Graff Fara (2002). An Anti-Epistemicist Consequence of Margin for Error Semantics for Knowledge. Philosophy and Phenomenological Research 64:127--142.
Delia Graff Fara (2001). Phenomenal Continua and the Sorites. Mind 110 (440):905-935.
Joseph Y. Halpern (2008). Intransitivity and Vagueness. Review of Symbolic Logic 1 (4):530-547.
Citations of this work BETA
Pablo Cobreros, Paul Egré, David Ripley & Robert van Rooij (2010). Tolerant, Classical, Strict. Journal of Philosophical Logic 41 (2):347-385.
David Ripley, Pablo Cobreros, Paul Egré & Robert van Rooij (2012). Tolerant, Classical, Strict. Journal of Philosophical Logic 41 (2):347-385.
David Spector (2013). Margin for Error Semantics and Signal Perception. Synthese 190 (15):3247-3263.
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