David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophical Studies 126 (1):1 - 27 (2005)
Grelling’s Paradox is the paradox which results from considering whether heterologicality, the word-property which a designator has when and only when the designator does not bear the word-property it designates, is had by ‘ ȁ8heterologicality’. Although there has been some philosophical debate over its solution, Grelling’s Paradox is nearly uniformly treated as a variant of either the Liar Paradox or Russell’s Paradox, a paradox which does not present any philosophical challenges not already presented by the two better known paradoxes. The aims of this paper are, first, to offer a precise formulation of Grelling’s Paradox which is clearly distinguished from both the Liar Paradox and Russell’s Paradox; second, to offer a solution to Grelling’s Paradox which both resolves the paradoxical reasoning and accounts for unproblematic predications of heterologicality; and, third, to argue that there are two lessons to be drawn from Grelling’s Paradox which have not yet been drawn from the Liar or Russell’s Paradox. The first lesson is that it is possible for the semantic content of a predicate to be sensitive to the semantic context; i.e., it is possible for a predicate to be an indexical expression. The second lesson is that the semantic content of an indexical predicate, though unproblematic for many cases, can nevertheless be problematic in some cases.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Joseph Almog, John Perry, Howard K. Wettstein & David Kaplan (eds.) (1989). Themes From Kaplan. Oxford University Press, USA.
P. T. Geach (1961). Ryle on Namely-Riders. Analysis 21 (3):64 - 67.
Kurt Gödel (1944). The Philosophy of Bertrand Russell. Northwestern University Press.
Laurence Goldstein (2003). Farewell to Grelling. Analysis 63 (1):31–32.
Kurt Grelling (1936). The Logical Paradoxes. Mind 45 (180):481-486.
Citations of this work BETA
Benjamin Schnieder (2010). Inexpressible Properties and Grelling's Antinomy. Philosophical Studies 148 (3):369 - 385.
Similar books and articles
Paolo Crivelli (2004). Aristotle on the Liar. Topoi 23 (1):61-70.
Hartley Slater (2005). Choice and Logic. Journal of Philosophical Logic 34 (2):207 - 216.
Peter Eldridge-Smith & Veronique Eldridge-Smith (2010). The Pinocchio Paradox. Analysis 70 (2):212-215.
Jeffrey Ketland (2005). Jacquette on Grelling's Paradox. Analysis 65 (287):258–260.
Keith Simmons (1987). On a Medieval Solution to the Liar Paradox. History and Philosophy of Logic 8 (2):121-140.
Roy T. Cook (2011). The No-No Paradox Is a Paradox. Australasian Journal of Philosophy 89 (3):467-482.
Matt Leonard (2012). Burge's Contextual Theory of Truth and the Super-Liar Paradox. In Michal Pelis Vit Puncochar (ed.), The Logica Yearbook 2011. College Publications.
Nicholas J. J. Smith (2000). The Principle of Uniform Solution (of the Paradoxes of Self-Reference). Mind 109 (433):117-122.
Added to index2009-01-28
Total downloads22 ( #83,019 of 1,101,875 )
Recent downloads (6 months)3 ( #128,836 of 1,101,875 )
How can I increase my downloads?