Article

Journal of Philosophical Logic

, Volume 41, Issue 2, pp 317-345

First online:

Assertoric Semantics and the Computational Power of Self-Referential Truth

  • Stefan WinteinAffiliated withDepartment of Philosophy and TilPS (Tilburg Institute for Logic and Philosophy of Science), Tilburg University Email author 

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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

Self-referential truth Liar paradox Inferential semantics Information retrieval