Definability and the Structure of Logical Paradoxes

Author: Zhong Haixia  

Publisher: Routledge Ltd

ISSN: 0004-8402

Source: Australasian Journal of Philosophy, Vol.90, Iss.4, 2012-12, pp. : 779-788

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Abstract

Graham Priest 2002 argues that all logical paradoxes that include set-theoretic paradoxes and semantic paradoxes share a common structure, the Inclosure Schema, so they should be treated as one family. Through a discussion of Berry's Paradox and the semantic notion `definable', I argue that (i) the Inclosure Schema is not fine-grained enough to capture the essential features of semantic paradoxes, and (ii) the traditional separation of the two groups of logical paradoxes should be retained.