Synthese 134 (3):429-461 (2003)

The mediaeval logic of Aristotelian privation, represented by Ockham's exposition of All A is non-P as All S is of a type T that is naturally P and no S is P, is critically evaluated as an account of privative negation. It is argued that there are two senses of privative negation: an intensifier, the dual of Neoplatonic hypernegation, which is studied in linguistics as an operator on scalar adjectives, and a Boolean complement relative to the extension of a privative negation in sense. This second sense, which is the privative negation discussed in modern linguistics, is shown to be Aristotle's. It is argued that Ockham's exposition fails to capture much of the logic of Aristotelian privation due to limitations in the expressive power of the syllogistic.
Keywords Philosophy   Philosophy   Epistemology   Logic   Metaphysics   Philosophy of Language
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Reprint years 2004
DOI 10.1023/A:1022934709521
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Lukasiewicz's Many-Valued Logic and Neoplatonic Scalar Modality.John N. Martin - 2002 - History and Philosophy of Logic 23 (2):95-120.
Privative Negation in the Port Royal Logic.John N. Martin - 2016 - Review of Symbolic Logic 9 (4):664-685.

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