Absolute Contradiction, Dialetheism, and Revenge

Review of Symbolic Logic 7 (2):193-207 (2014)
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Abstract

Is there a notion of contradiction—let us call it, for dramatic effect, “absolute”—making all contradictions, so understood, unacceptable also for dialetheists? It is argued in this paper that there is, and that spelling it out brings some theoretical benefits. First it gives us a foothold on undisputed ground in the methodologically difficult debate on dialetheism. Second, we can use it to express, without begging questions, the disagreement between dialetheists and their rivals on the nature of truth. Third, dialetheism has an operator allowing it, against the opinion of many critics, to rule things out and manifest disagreement: for unlike other proposed exclusion-expressing-devices (for instance, the entailment of triviality), the operator used to formulate the notion of absolute contradiction appears to be immune both from crippling expressive limitations and from revenge paradoxes—pending a rigorous nontriviality proof for a formal dialetheic theory including it.

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Franz Berto
University of St. Andrews

Citations of this work

Negation on the Australian Plan.Francesco Berto & Greg Restall - 2019 - Journal of Philosophical Logic 48 (6):1119-1144.
Dialetheism.Francesco Berto, Graham Priest & Zach Weber - 2008 - Stanford Encyclopedia of Philosophy 2018 (2018).
A Modality Called ‘Negation’.Francesco Berto - 2015 - Mind 124 (495):761-793.
There is no Logical Negation: True, False, Both, and Neither.Jc Beall - 2017 - Australasian Journal of Logic 14 (1):Article no. 1.
Dialetheism.Graham Priest - 2008 - Stanford Encyclopedia of Philosophy.

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In contradiction: a study of the transconsistent.Graham Priest - 2006 - New York: Oxford University Press.
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Saving truth from paradox.Hartry Field - 2008 - New York: Oxford University Press.

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