Alethic undecidability doesn’t solve the Liar

Analysis 76 (3):278-283 (2016)
Authors
Mark Jago
Nottingham University
Abstract
Stephen Barker presents a novel approach to solving semantic paradoxes, including the Liar and its variants and Curry’s paradox. His approach is based around the concept of alethic undecidability. His approach, if successful, renders futile all attempts to assign semantic properties to the paradoxical sentences, whilst leaving classical logic fully intact. And, according to Barker, even the T-scheme remains valid, for validity is not undermined by undecidable instances. Barker’s approach is innovative and worthy of further consideration, particularly by those of us who aim to find a solution without logical revisionism. As it stands, however, the approach is unsuccessful, as I shall demonstrate below.
Keywords Truth  The Liar Paradox  Stephen Barker  Semantic Paradoxes  Undecidability
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DOI 10.1093/analys/anw033
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