Negation, denial and falsity: Logic's negative trio

Abstract

Negation, denial and falsity lie at the heart of debates about logic. We set out the classical account of the relationship between negation and denial, owing to Frege and Geach. We then challenge this on the basis that it does not permit an adequate account of falsity. A dialetheic alternative is minuted and criticised before a novel rejectivist account is proposed according to which falsity is the aim of the speech‐act of denial, whilst negation embeds deniability into assertoric contexts.

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Item Type:	Article
Authors/Creators:	Hewitt, S https://orcid.org/0000-0003-2720-4428
Copyright, Publisher and Additional Information:	© 2020 John Wiley & Sons Ltd. This is the peer reviewed version of the following article: Hewitt, S (2021) Negation, denial and falsity: Logic's negative trio. Ratio: an international journal of analytic philosophy, 34 (2). pp. 109-117. ISSN 0034-0006, which has been published in final form at https://doi.org/10.1111/rati.12295. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.
Keywords:	denial; falsity; logic; negation; paraconsistency
Dates:	Published: June 2021 Published (online): 28 October 2020 Accepted: 19 September 2020
Institution:	The University of Leeds
Academic Units:	The University of Leeds > Faculty of Arts, Humanities and Cultures (Leeds) > School of Philosophy, Religion and History of Science (Leeds) > School of Philosophy (Leeds)
Funding Information:	Funder Grant number Leverhulme Trust ECF-2017-123
Depositing User:	Symplectic Publications
Date Deposited:	23 Sep 2020 13:40
Last Modified:	28 Oct 2022 00:13
Status:	Published
Publisher:	Wiley
Identification Number:	10.1111/rati.12295
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:165741

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Negation, denial and falsity: Logic's negative trio

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