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Saving Truth From Paradox$
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Hartry Field

Print publication date: 2008

Print ISBN-13: 9780199230747

Published to Oxford Scholarship Online: May 2008

DOI: 10.1093/acprof:oso/9780199230747.001.0001

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Truth‐Value Gluts in Classical Theories

Truth‐Value Gluts in Classical Theories

(p.142) 8 Truth‐Value Gluts in Classical Theories
Saving Truth From Paradox

Hartry Field (Contributor Webpage)

Oxford University Press

This chapter deals with classical theories that postulate truth value gluts, especially theories that accept the right-to-left half of the Tarski biconditionals. The duality with gap theories is explored, and with it the question of whether the theories are notational variants. It is shown that these theories take modus ponens not to be truth-preserving. Reasons are given why this is not as debilitating as declaring one's axioms untrue. Still, glut theories like gap theories preclude truth from having its usual role in expressing agreement and disagreement.

Keywords:   dialetheism, modus ponens, truth-preservation, duality, agreement, disagreement

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