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  1. Polytheism and Individuality in the Henadic Manifold.Edward P. Butler - 2005 - Dionysius 23:83-103.
  • Malebranche’s Neoplatonic Semantic Theory1.John N. Martin - 2014 - International Journal of the Platonic Tradition 8 (1):33-71.
    This paper argues that Malebranche’s semantics sheds light on his metaphysics and epistemology, and is of interest in its own right. By recasting issues linguistically, it shows that Malebranche assumes a Neoplatonic semantic structure within Descartes’ dualism and Augustine’s theory of illumination, and employs linguistic devices from the Neoplatonic tradition. Viewed semantically, mental states of illumination stand to God and his ideas as predicates stand in Neoplatonic semantics to ideas ordered by a privative relation on “being.” The framework sheds light (...)
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  • Privative Negation in the Port Royal Logic.John N. Martin - 2016 - Review of Symbolic Logic 9 (4):664-685.
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  • Ten Questions and One Problem on Fuzzy Logic.Petr Hájek - 1999 - Annals of Pure and Applied Logic 96 (1-3):157-165.
  • 2000 Annual Meeting of the Association for Symbolic Logic.A. Pillay, D. Hallett, G. Hjorth, C. Jockusch, A. Kanamori, H. J. Keisler & V. McGee - 2000 - Bulletin of Symbolic Logic 6 (3):361-396.
  • Proclus and the Neoplatonic Syllogistic.John N. Martin - 2001 - Journal of Philosophical Logic 30 (3):187-240.
    An investigation of Proclus' logic of the syllogistic and of negations in the Elements of Theology, On the Parmenides, and Platonic Theology. It is shown that Proclus employs interpretations over a linear semantic structure with operators for scalar negations (hypemegationlalpha-intensivum and privative negation). A natural deduction system for scalar negations and the classical syllogistic (as reconstructed by Corcoran and Smiley) is shown to be sound and complete for the non-Boolean linear structures. It is explained how Proclus' syllogistic presupposes converting the (...)
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  • The Lover of the Beautiful and the Good: Platonic Foundations of Aesthetic and Moral Value.John Martin - 2008 - Synthese 165 (1):31-51.
    Though acknowledged by scholars, Plato’s identification of the Beautiful and the Good has generated little interest, even in aesthetics where the moral concepts are a current topic. The view is suspect because, e.g., it is easy to find examples of ugly saints and beautiful sinners. In this paper the thesis is defended using ideas from Plato’s ancient commentators, the Neoplatonists. Most interesting is Proclus, who applied to value theory a battery of linguistic tools with fixed semantic properties—comparative adjectives, associated gradable (...)
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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.
    This paper explores the modal interpretation of ?ukasiewicz's n -truth-values, his conditional and the puzzles they generate by exploring his suggestion that by ?necessity? he intends the concept used in traditional philosophy. Scalar adjectives form families with nested extensions over the left and right fields of an ordering relation described by an associated comparative adjective. Associated is a privative negation that reverses the ?rank? of a predicate within the field. If the scalar semantics is interpreted over a totally ordered domain (...)
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