Existence, Negation, and Abstraction in the Neoplatonic Hierarchy1

History and Philosophy of Logic 16 (2):169-196 (1995)
Abstract
The paper is a study of the logic of existence, negation, and order in the Neoplatonic tradition. The central idea is that Neoplatonists assume a logic in which the existence predicate is a comparative adjective and in which monadic predicates function as scalar adjectives that nest the background order. Various scalar predicate negations are then identifiable with various Neoplatonic negations, including a privative negation appropriate for the lower orders of reality and a hyper-negation appropriate for the higher. Reversion to the One can then be explained as the logical inference of hyper-negations from mundane knowledge. Part I develops the relevant linguistic and logical theory, and Part II defends Wolfson and the scalar interpretation against the more traditional Aristotelian understanding of Whittaker and others of reversion as intensional abstraction
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DOI 10.1080/01445349508837248
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References found in this work BETA
A Natural History of Negation.Laurence Horn - 1989 - University of Chicago Press.
Platonic Studies.Gregory Vlastos - 1973 - [Princeton, N.J.]Princeton University Press.
The Philosophy of Grammar.Otto Jespersen - 1929 - New York: Norton.
Aristotle's Philosophy of Mathematics.Jonathan Lear - 1982 - Philosophical Review 91 (2):161-192.

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Citations of this work BETA
Proclus and the Neoplatonic Syllogistic.John N. Martin - 2001 - Journal of Philosophical Logic 30 (3):187-240.
Lukasiewicz's Many-Valued Logic and Neoplatonic Scalar Modality.John N. Martin - 2002 - History and Philosophy of Logic 23 (2):95-120.
Ten Questions and One Problem on Fuzzy Logic.Petr Hájek - 1999 - Annals of Pure and Applied Logic 96 (1-3):157-165.
Malebranche’s Neoplatonic Semantic Theory1.John N. Martin - 2014 - International Journal of the Platonic Tradition 8 (1):33-71.

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