Definability and the Structure of Logical Paradoxes

Australasian Journal of Philosophy 90 (4):779 - 788 (2012)
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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

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Haixia Zhong
McMaster University

Citations of this work

Definition Inclosed: A Reply to Zhong.Graham Priest - 2012 - Australasian Journal of Philosophy 90 (4):789 - 795.

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References found in this work

The semantic conception of truth and the foundations of semantics.Alfred Tarski - 1943 - Philosophy and Phenomenological Research 4 (3):341-376.
Beyond the Limits of Thought.Graham Priest - 1995 - Cambridge, England: Cambridge University Press.
Computability and Logic.George Boolos, John Burgess, Richard P. & C. Jeffrey - 1980 - New York: Cambridge University Press. Edited by John P. Burgess & Richard C. Jeffrey.
The Semantic Conception of Truth.Alfred Tarski - 2005 - In José Medina & David Wood (eds.), Truth. Malden, MA: Blackwell.

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