Definition Inclosed: A Reply to Zhong |
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Authors: | Graham Priest |
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Institution: | Universities of Melbourne and St Andrews, and the Graduate Center City University of New York |
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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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Keywords: | Inclosure Schema definability Berry's Paradox Graham Priest |
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