A New Conditional for Naive Truth Theory

Notre Dame Journal of Formal Logic 54 (1):87-104 (2013)
In this paper a logic for reasoning disquotationally about truth is presented and shown to have a standard model. This work improves on Hartry Field's recent results establishing consistency and omega-consistency of truth-theories with strong conditional logics. A novel method utilising the Banach fixed point theorem for contracting functions on complete metric spaces is invoked, and the resulting logic is shown to validate a number of principles which existing revision theoretic methods have heretofore failed to provide.
Keywords liar paradox  non-classical logic  contractionless logic  Curry's paradox
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DOI 10.1215/00294527-1731407
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Hartry Field (2005). Variations on a Theme by Yablo. In J. C. Beall & Bradley Armour-Garb (eds.), Deflationism and Paradox. Clarendon Press
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