Negation, denial and falsity: Logic's negative trio

Ratio 34 (2):109-117 (2021)
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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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Simon Hewitt
University of Leeds

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References found in this work

Assertion.Peter Geach - 1965 - Philosophical Review 74 (4):449-465.
The Runabout Inference-Ticket.A. N. Prior - 1960 - Analysis 21 (2):38-39.
Doubt Truth to Be a Liar.Graham Priest - 2007 - Studia Logica 87 (1):129-134.
Doubt Truth to Be a Liar.Graham Priest - 2007 - Bulletin of Symbolic Logic 13 (4):541-544.
The runabout inference ticket.Arthur Prior - 1967 - In P. F. Strawson (ed.), Philosophical logic. London,: Oxford University Press. pp. 38-9.

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