David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Analysis 72 (3):421-430 (2012)
A number of recent works consider treating validity as a primitive notion rather than one defined in some standard manner. There seem to have been three motivations. First, to understand how truth and validity interact in potentially paradoxical settings. Second, to argue that validity is in fact afflicted with paradoxes analogous to the semantic paradoxes. Third, to develop a ‘deflationary’ conception of validity or consequence. This article treats the notion of validity as a primitive notion and shows how to provide a consistent theory of classical validity (and self-applicative truth), conservative over Peano arithmetic
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References found in this work BETA
Hartry Field (2006). Truth and the Unprovability of Consistency. Mind 115 (459):567 - 605.
Volker Halbach (2006). How Not to State T-Sentences. Analysis 66 (4):276–280.
Citations of this work BETA
Julien Murzi (2012). On Heck's New Liar. Thought: A Journal of Philosophy 1 (2):258-269.
Lionel Shapiro (2013). Validity Curry Strengthened. Thought: A Journal of Philosophy 2 (1):100-107.
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