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PRIVATIVE NEGATION IN THE PORT ROYAL LOGIC

Published online by Cambridge University Press:  19 September 2016

JOHN N. MARTIN
JOHN N. MARTIN*
Affiliation:
Emeritus Professor of Philosophy, University of Cincinnati
*
*EMERITUS PROFESSOR OF PHILOSOPHY DEPARTMENT OF PHILOSOPHY (210374) UNIVERSITY OF CINCINNATI CINCINNATI, OH, 45208, USA E-mail: john.martin@uc.edu
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Abstract

In this paper I argue that negation in The Port Royal Logic is not a failed or incoherent approximation of Boolean complementation as maintained by Sylvain Auroux and Marc Dominicy, but is rather a version of privative negation from medieval logic, and that as such it has a perfectly coherent semantics. The discussion reviews the critiques of Auroux and Dominicy as well as the semantics of privative negation as found in Aristotle, Proclus, Ockham, Buridan, Descartes, and Arnauld.

Type
Research Article
Information
The Review of Symbolic Logic , Volume 9 , Issue 4 , December 2016 , pp. 664 - 685
Copyright
Copyright © Association for Symbolic Logic 2016 

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