Assertoric Semantics and the Computational Power of Self-Referential Truth

Journal of Philosophical Logic 41 (2):317-345 (2012)
Abstract
There is no consensus as to whether a Liar sentence is meaningful or not. Still, a widespread conviction with respect to Liar sentences (and other ungrounded sentences) is that, whether or not they are meaningful, they are useless . The philosophical contribution of this paper is to put this conviction into question. Using the framework of assertoric semantics , which is a semantic valuation method for languages of self-referential truth that has been developed by the author, we show that certain computational problems, called query structures , can be solved more efficiently by an agent who has self-referential resources (amongst which are Liar sentences) than by an agent who has only classical resources; we establish the computational power of self-referential truth . The paper concludes with some thoughts on the implications of the established result for deflationary accounts of truth
Keywords Liar paradox  self reference  assertoric semantics  self-referential truth  query structures  computational power  computation  inferential semantics  information retrieval
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References found in this work BETA
Leon Horsten (2009). Levity. Mind 118 (471):555-581.
Saul A. Kripke (1975). Outline of a Theory of Truth. Journal of Philosophy 72 (19):690-716.
Raymond M. Smullyan (1968). First-Order Logic. New York [Etc.]Springer-Verlag.
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Timothy Williamson (2009). Reference, Inference, and the Semantics of Pejoratives. In Joseph Almog & Paolo Leonardi (eds.), The Philosophy of David Kaplan. Oxford University Press. 137--159.
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