Against classical dialetheism

Frontiers of Philosophy in China 6 (3):492-500 (2011)

Abstract
Dialetheism is the view that there are true contradictions. Classical dialetheism holds further the view that the law of excluded middle is indeed a logical law. Most famous dialetheists, such as G. Priest and J. Beall, are classical dialetheists; they take classical dialetheism to be the only plausible solution to the semantic paradoxes. The main contention of the paper is, however, that their views should be rejected. Based on inspecting Priest’s and Beall’s dialetheist theories from a special perspective, this paper contends that classical dialetheism has no natural and plausible way to assign truth values to various truth-ineliminable sentences, i.e., sentences whose truth-conditions essentially involve the property of being true . Several examples of such truth-ineliminable sentences are given in the paper, and two classical dialetheist strategies for assigning them truth values are inspected. This paper argues that none of these strategies is successful
Keywords dialetheism  truth  truth-ineliminable sentences  semantic paradox
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DOI 10.1007/s11466-011-0152-4
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Saving Truth From Paradox.Hartry Field - 2008 - Oxford University Press.
Spandrels of Truth.Jc Beall - 2010 - Bulletin of Symbolic Logic 16 (2):284-286.
Spandrels of Truth.J. C. Beall - 2009 - Oxford University Press.
Logic, Semantics, Metamathematics.Alfred Tarski - 1956 - Oxford, Clarendon Press.

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