The liar paradox and the inclosure schema

Australasian Journal of Philosophy 86 (4):583 – 596 (2008)
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Abstract

In Beyond the Limits of Thought [2002], Graham Priest argues that logical and semantic paradoxes have the same underlying structure (which he calls the Inclosure Schema ). He also argues that, in conjunction with the Principle of Uniform Solution (same kind of paradox, same kind of solution), this is sufficient to 'sink virtually all orthodox solutions to the paradoxes', because the orthodox solutions to the paradoxes are not uniform. I argue that Priest fails to provide a non-question-begging method to 'sink virtually all orthodox solutions', and that the Inclosure Schema cannot be the structure that underlies the Liar paradox. Moreover, Ramsey was right in thinking that logical and semantic paradoxes are paradoxes of different kinds.

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Emil Badici
Texas A&M University - Kingsville

References found in this work

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.
The Semantic Paradoxes: A Diagnostic Investigation.Charles Chihara - 1979 - Philosophical Review 88 (4):590-618.
Beyond the Limits of Thought.Graham Priest - 1999 - Philosophical Quarterly 49 (194):121-125.

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