Synthese 160 (2):183 - 202 (2008)
All paradoxes of self-reference seem to share some structural features. Russell in 1908 and especially Priest nowadays have advanced structural descriptions that successfully identify necessary conditions for having a paradox of this kind. I examine in this paper Priest’s description of these paradoxes, the Inclosure Scheme (IS), and consider in what sense it may help us understand and solve the problems they pose. However, I also consider the limitations of this kind of structural descriptions and give arguments against Priest’s use of IS in favour of dialetheism. IS fails to identify sufficient conditions for having a paradox of self-reference. That means that, even if we identified a problem common to any reasoning satisfying IS, that problem would not explain why some of those reasonings are paradoxical and some others are not. Therefore IS cannot justify by itself the claim that some particular theory offers the best solution to the paradoxes of self-reference. We still need to consider aspects concerning the content and context of occurrence of every paradox.
|Keywords||Structure of the paradoxes of self-reference Inclosure Scheme Priest Russell Dialetheism|
|Categories||categorize this paper)|
References found in this work BETA
The Foundations of Mathematics and Other Logical Essays.Frank Plumpton Ramsey - 1931 - Paterson, N.J., Littlefield, Adams.
Citations of this work BETA
No citations found.
Similar books and articles
Yablo's Paradox and Referring to Infinite Objects.O. Bueno & M. Colyvan - 2003 - Australasian Journal of Philosophy 81 (3):402 – 412.
A New Solution to the Paradoxes of Rational Acceptability.Igor Douven - 2002 - British Journal for the Philosophy of Science 53 (3):391-410.
Curry's Revenge: The Costs of Non-Classical Solutions to the Paradoxes of Self-Reference.Greg Restall - 2007 - In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
Badici on Inclosures and the Liar Paradox.Graham Priest - 2010 - Australasian Journal of Philosophy 88 (2):359-366.
The Principle of Uniform Solution (of the Paradoxes of Self-Reference).Nicholas J. J. Smith - 2000 - Mind 109 (433):117-122.
Explanation And Solution In The Inclosure Argument.Zach Weber - 2010 - Australasian Journal of Philosophy 88 (2):353-357.
Discussion. Structural Similarity of Structuralism? Comments on Priest's Analysis of the Paradoxes of Self-Reference.I. Grattan-Guinness - 1998 - Mind 107 (428):823-834.
Added to index2009-01-28
Total downloads126 ( #37,980 of 2,164,598 )
Recent downloads (6 months)5 ( #62,414 of 2,164,598 )
How can I increase my downloads?