Definition Inclosed: A Reply to Zhong

Australasian Journal of Philosophy 90 (4):789 - 795 (2012)
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Abstract

In ?Definability and the Structure of Logical Paradoxes? (Australasian Journal of Philosophy, this issue) Haixia Zhong takes issue with an account of the paradoxes of self-reference to be found in Beyond the Limits of Thought [Priest 1995. The point of this note is to explain why the critique does not succeed. The criterion for distinguishing between the set-theoretic and the semantic paradoxes offered does not get the division right; the semantic paradoxes are not given a uniform solution; no reason is provided as to why the naïve denotation relation is ?indefinite? (other than that its definiteness leads to contradiction); and the account of the denotation relation given clearly misses the mark, even by consistent standards

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Graham Priest
CUNY Graduate Center

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References found in this work

In contradiction: a study of the transconsistent.Graham Priest - 2006 - New York: Oxford University Press.
Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Beyond the Limits of Thought.Graham Priest - 1995 - Cambridge, England: Cambridge University Press.
Mathematical Logic as Based on the Theory of Types.Bertrand Russell - 1908 - American Journal of Mathematics 30 (3):222-262.

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