Chapter

A Language That Can Express Its Own Truth Theory

Tim Maudlin

in Truth and Paradox

Published in print May 2004 | ISBN: 9780199247295
Published online January 2005 | e-ISBN: 9780191601781 | DOI: http://dx.doi.org/10.1093/0199247293.003.0004
 A Language That Can Express Its Own Truth Theory

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The semantic theory developed for a formal language in the previous chapters is now formulated in the language itself. Applying the semantic theory to this formulation, one finds that the theory of truth itself turns out to be neither true nor false. An analogy to the theory of continued fractions is proposed.

Keywords: boundary sentence; continued fraction; metalanguage; theory of truth; truthteller

Chapter.  8128 words. 

Subjects: Philosophy of Language

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