Open Access
2010 Inclosures, Vagueness, and Self-Reference
Graham Priest
Notre Dame J. Formal Logic 51(1): 69-84 (2010). DOI: 10.1215/00294527-2010-005


In this paper, I start by showing that sorites paradoxes are inclosure paradoxes. That is, they fit the Inclosure Scheme which characterizes the paradoxes of self-reference. Given that sorites and self-referential paradoxes are of the same kind, they should have the same kind of solution. The rest of the paper investigates what a dialetheic solution to sorites paradoxes is like, connections with a dialetheic solution to the self-referential paradoxes, and related issues—especially so called "higher order" vagueness.


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Graham Priest. "Inclosures, Vagueness, and Self-Reference." Notre Dame J. Formal Logic 51 (1) 69 - 84, 2010.


Published: 2010
First available in Project Euclid: 4 May 2010

zbMATH: 1198.03034
MathSciNet: MR2666570
Digital Object Identifier: 10.1215/00294527-2010-005

Primary: 03B52 , 03B53
Secondary: 03A05

Keywords: extended paradoxes , higher order vagueness , inclosure schema , paraconsistency , paradoxes of self-reference , sorites paradoxes , vagueness

Rights: Copyright © 2010 University of Notre Dame

Vol.51 • No. 1 • 2010
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