Validity, paradox, and the ideal of deductive logic

In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press (2007)
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Abstract

I express my dissatisfaction with the common ways to treat the semantic paradoxes. Not only do they give rise to revenge paradoxes, they ignore the wisdom contained in the ordinary reaction to paradoxes. I instead propose an account that vindicates the ordinary reaction to paradox by putting the blame on us philosophers. It is the wrong conception of what a valid inference is, one that is central to “the ideal of deductive logic” that gives rise to the problem. The solution outlined gives us a new way to accept defeat in light of the paradoxes: the arguments that lead to them are based on valid forms of reasoning, but their conclusions are nonetheless rationally rejected.

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Thomas Hofweber
University of North Carolina, Chapel Hill

Citations of this work

Hierarchical Propositions.Bruno Whittle - 2017 - Journal of Philosophical Logic 46 (2):215-231.
Validity as Truth-Conduciveness.Arvid Båve - forthcoming - In Adam Podlaskowski & Drew Johnson (eds.), Truth 20/20. Synthese Library.
Trivial Languages.Arvid Båve - 2018 - Acta Analytica 33 (1):1-17.
On Using Inconsistent Expressions.Arvid Båve - 2012 - Erkenntnis 77 (1):133-148.
Truth, Hierarchy and Incoherence.Bruno Whittle - forthcoming - In Bradley Armour-Garb (ed.), Reflections on the Liar. Oxford University Press.

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