Chapter

Solving the Inferential Liar Antinomy

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/10.1093/0199247293.003.0006
 Solving the Inferential Liar Antinomy

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A standard natural deduction system is modified so as to allow for inferences concerning truth without falling into inconsistency. The modified system has no theorems unless an assumption is made about boundary sentences having a classical truth value. A collection of related paradoxes is examined.

Keywords: a prioriknowledge; antinomy; bivalence; index set; logic; natural deduction; paradox; theorem; T‐Inferences

Chapter.  17639 words. 

Subjects: Philosophy of Language

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