In defense of true higher-order vagueness

Synthese 180 (3):317-335 (2011)
Abstract
ABSTRACT: Stewart Shapiro recently argued that there is no higher-order vagueness. More specifically, his thesis is: (ST) ‘So-called second-order vagueness in ‘F’ is nothing but first-order vagueness in the phrase ‘competent speaker of English’ or ‘competent user of “F”’. Shapiro bases (ST) on a description of the phenomenon of higher-order vagueness and two accounts of ‘borderline case’ and provides several arguments in its support. We present the phenomenon (as Shapiro describes it) and the accounts; then discuss Shapiro’s arguments, arguing that none is compelling. Lastly, we introduce the account of vagueness Shapiro would have obtained had he retained compositionality and show that it entails true higher-order vagueness.
Keywords vagueness  higher-order vagueness  contextualism  borderlineness  epistemology  competent speakers  Stewart Shapiro
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References found in this work BETA
Michael Glanzberg (2003). Against Truth-Value Gaps. In J. C. Beall (ed.), Liars and Heaps. Oxford University Press. 151--94.
Patrick Greenough (2005). Contextualism About Vagueness and Higher-Order Vagueness. Aristotelian Society Supplementary Volume 79 (1):167–190.

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