Topoi 18 (2):141-148 (1999)

Authors
Graham Priest
CUNY Graduate Center
Abstract
Of the various accounts of negation that have been offered by logicians in the history of Western logic, that of negation as cancellation is a very distinctive one, quite different from the explosive accounts of modern "classical" and intuitionist logics, and from the accounts offered in standard relevant and paraconsistent logics. Despite its ancient origin, however, a precise understanding of the notion is still wanting. The first half of this paper offers one. Both conceptually and historically, the account of negation as cancellation is intimately connected with connexivist principles such as ¬( ¬). Despite this, standard connexivist logics incorporate quite different accounts of negation. The second half of the paper shows how the cancellation account of negation of the first part gives rise to a semantics for a simple connexivist logic.
Keywords Philosophy   Philosophy   Philosophy of Science   Philosophy of Technology
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Reprint years 2004
DOI 10.1023/A:1006294205280
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References found in this work BETA

The Development of Logic.William Kneale & Martha Kneale - 1962 - Oxford, England: Clarendon Press.
Introduction to Logical Theory.P. F. Strawson - 1954 - Philosophy 29 (108):78-80.
Aristotle: The Desire to Understand.Jonathan Lear - 1988 - Cambridge University Press.
On Inferences From Inconsistent Premises.Nicholas Rescher & Ruth Manor - 1970 - Theory and Decision 1 (2):179-217, 1970-1971.

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Citations of this work BETA

Logics of Nonsense and Parry Systems.Thomas Macaulay Ferguson - 2015 - Journal of Philosophical Logic 44 (1):65-80.
Humble Connexivity.Andreas Kapsner - 2019 - Logic and Logical Philosophy 28.
Connexive Logic.Heinrich Wansing - 2008 - Stanford Encyclopedia of Philosophy.

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