Introduction
The Monist 88 (1):3-10 (2005)
| Abstract | This paper builds on work done by Graham Priest (1994, 1995, 1998b, 2000) but does not presuppose knowledge of that work. Priest established that many paradoxes, which had been traditionally divided into different families, have a structure in common – which he calls the Inclosure Schema – and, correlatively, that these paradoxes demand a uniform solution. The uniform solution favoured by Priest is a Dialetheist one. I show that, with minor modification, the Inclosure Schema becomes sufficiently embracing to exhibit the underlying structure not just of the logico-semantical paradoxes discussed by Priest, but of some metaphysical paradoxes too. The uniform solution advocated here is a non-Dialetheist one. Although this is not the concern of the present paper, I am persuaded by some recent work (Bromand 2002; Simmons 1993, pp.80-2) that Dialetheism, whatever its other virtues, does not deliver a solution to the semantical paradoxes. | |||||||||
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Igor Douven (2002). A New Solution to the Paradoxes of Rational Acceptability. British Journal for the Philosophy of Science 53 (3):391-410.
Wenfang Wang (2011). Against Classical Dialetheism. Frontiers of Philosophy in China 6 (3):492-500.
Zach Weber (2010). Explanation And Solution In The Inclosure Argument. Australasian Journal of Philosophy 88 (2):353-357.
Joachim Bromand (2002). Why Paraconsistent Logic Can Only Tell Half the Truth. Mind 111 (444):741-749.
Graham Priest (2010). Badici on Inclosures and the Liar Paradox. Australasian Journal of Philosophy 88 (2):359-366.
Jürgen Dümont & Frank Mau (1998). Are There True Contradictions? A Critical Discussion of Graham Priest's, Beyond the Limits of Thought. Journal for General Philosophy of Science 29 (2):289-299.
I. Grattan-Guinness (1998). Discussion. Structural Similarity of Structuralism? Comments on Priest's Analysis of the Paradoxes of Self-Reference. Mind 107 (428):823-834.
Jordi Valor Abad (2008). The Inclosure Scheme and the Solution to the Paradoxes of Self-Reference. Synthese 160 (2):183 - 202.
Nicholas J. J. Smith (2000). The Principle of Uniform Solution (of the Paradoxes of Self-Reference). Mind 109 (433):117-122.
Emil Badici (2008). The Liar Paradox and the Inclosure Schema. Australasian Journal of Philosophy 86 (4):583 – 596.
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