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Truth and ParadoxSolving the Riddles$
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Tim Maudlin

Print publication date: 2004

Print ISBN-13: 9780199247295

Published to Oxford Scholarship Online: January 2005

DOI: 10.1093/0199247293.001.0001

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On the Origin of Truth Values

On the Origin of Truth Values

(p.26) 2 On the Origin of Truth Values
Truth and Paradox

Tim Maudlin (Contributor Webpage)

Oxford University Press

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

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