Chapter

On the Origin of Truth Values

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/10.1093/0199247293.003.0002
 On the Origin of Truth Values

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The formal language developed in ch. 1 is modelled as a directed graph with a boundary, and the problem of assigning truth values to sentences assimilated to a boundary‐value problem. A trivalent semantics, with true, false, and ungrounded sentences results. The nature of the third truth‐value imposes constraints on the possible truth‐functional connectives in the language.

Keywords: boundary‐value problem; directed graph; metalanguage; S. Kleene; S. Kripke; A. Tarski; time travel; truth theory; truth‐functional connective; ungrounded

Chapter.  21140 words.  Illustrated.

Subjects: Philosophy of Language

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