Logica Universalis 11 (4):465-487 (2017)

Authors
Ederson Melo
Universidade Federal de Santa Maria
Jonas R. B. Arenhart
Universidade Federal de Santa Catarina
Abstract
Dialetheism is the view that some true sentences have a true negation as well. Defending dialetheism, Graham Priest argues that the correct account of negation should allow for true contradictions and \) without entailing triviality. A negation doing precisely that is said to have ‘surplus content’. Now, to defend that the correct account of negation does have surplus content, Priest advances arguments to hold that classical Boolean negation does not even make sense without begging the question against the dialetheist. We shall argue that Priest’s arguments may be turned upon themselves, and that he may also be accused of begging the question against the classical logician. We then advance an argument to the effect that Priest’s account of negation falls short of satisfying his own desiderata on a correct account of a negation: a theory of negation that attempts to represent contradictions cannot coherently allow surplus content, and vice-versa, a negation allowing for surplus content bans contradiction.
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DOI 10.1007/s11787-017-0178-z
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References found in this work BETA

Doubt Truth to Be a Liar.Graham Priest - 2007 - Studia Logica 87 (1):129-134.
A Modality Called ‘Negation’.Francesco Berto - 2015 - Mind 124 (495):761-793.
Absolute Contradiction, Dialetheism, and Revenge.Francesco Berto - 2014 - Review of Symbolic Logic 7 (2):193-207.
The Traditional Square of Opposition.Terence Parsons - 2008 - Stanford Encyclopedia of Philosophy.

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