One Heresy and One Orthodoxy: On Dialetheism, Dimathematism, and the Non-normativity of Logic

Erkenntnis 89 (1):181-205 (2024)
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Abstract

In this paper, Graham Priest’s understanding of dialetheism, the view that there exist true contradictions, is discussed, and various kinds of metaphysical dialetheism are distinguished between. An alternative to dialetheism is presented, namely a thesis called ‘dimathematism’. It is pointed out that dimathematism enables one to escape a slippery slope argument for dialetheism that has been put forward by Priest. Moreover, dimathematism is presented as a thesis that is helpful in rejecting the claim that logic is a normative discipline.

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Author's Profile

Heinrich Wansing
Ruhr-Universität Bochum

Citations of this work

Dialetheism.Francesco Berto, Graham Priest & Zach Weber - 2008 - Stanford Encyclopedia of Philosophy 2018 (2018).
Dialetheism.Graham Priest - 2008 - Stanford Encyclopedia of Philosophy.
No cause for collapse.Dustin Gooßens & Andrew Tedder - 2023 - Asian Journal of Philosophy 2 (2):1-19.
Double Negation as Minimal Negation.Satoru Niki - 2023 - Journal of Logic, Language and Information 32 (5):861-886.

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References found in this work

Impossible Worlds.Francesco Berto & Mark Jago - 2019 - Oxford: Oxford University Press. Edited by Mark Jago.
Logical Pluralism.Jc Beall & Greg Restall - 2005 - Oxford, England: Oxford University Press. Edited by Greg Restall.
The question of realism.Kit Fine - 2001 - Philosophers' Imprint 1:1-30.
Doubt truth to be a liar.Graham Priest - 2006 - New York: Oxford University Press.
Impossible Worlds.Francesco Berto - 2013 - Stanford Encyclopedia of Philosophy (2013):en ligne.

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