The liar paradox and the inclosure schema
Australasian Journal of Philosophy 86 (4):583 – 596 (2008)
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.Author's Profile
DOI
10.1080/00048400802215430
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Citations of this work
Islamic Mystical Dialetheism: Resolving the Paradox of God’s Unknowability and Ineffability.Abbas Ahsan - 2022 - Philosophia 50 (3):925-964.
Explanation And Solution In The Inclosure Argument.Zach Weber - 2010 - Australasian Journal of Philosophy 88 (2):353-357.
Badici on Inclosures and the Liar Paradox.Graham Priest - 2010 - Australasian Journal of Philosophy 88 (2):359-366.
Metametametaphysics and Dialetheism.Suki Finn - 2017 - Australasian Journal of Logic 14 (1):128-146.
References found in this work
The semantic paradoxes: A diagnostic investigation.Charles Chihara - 1979 - Philosophical Review 88 (4):590-618.