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  1. 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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  • Existential Import in Cartesian Semantics.John N. Martin - 2011 - History and Philosophy of Logic 32 (3):211-239.
    The paper explores the existential import of universal affirmative in Descartes, Arnauld and Malebranche. Descartes holds, inconsistently, that eternal truths are true even if the subject term is empty but that a proposition with a false idea as subject is false. Malebranche extends Descartes? truth-conditions for eternal truths, which lack existential import, to all knowledge, allowing only for non-propositional knowledge of contingent existence. Malebranche's rather implausible Neoplatonic semantics is detailed as consisting of three key semantic relations: illumination by which God's (...)
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  • The Arabico-Islamic Background of Al-Fārābī's Logic.Sadik Türker - 2007 - History and Philosophy of Logic 28 (3):183-255.
    This paper examines al-F?r?b?'s logical thought within its Arabico-Islamic historical background and attempts to conceptualize what this background contributes to his logic. After a brief exposition of al-F?r?b?'s main problems and goals, I shall attempt to reformulate the formal structure of Arabic linguistics (AL) in terms of the ontological and formal characteristics that Arabic logic is built upon. Having discussed the competence of al-F?r?b? in the history of AL, I will further propose three interrelated theses about al-F?r?b?'s logic, in terms (...)
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  • Proclus on Nature: Philosophy of Nature and its Methods in Proclus’ Commentary on Plato’s Timaeus.Marije Martijn - 2010 - Brill.
    One of the hardest questions to answer for a (Neo)platonist is to what extent and how the changing and unreliable world of sense perception can itself be an object of scientific knowledge. My dissertation is a study of the answer given to that question by the Neoplatonist Proclus (Athens, 411-485) in his Commentary on Plato’s Timaeus. I present a new explanation of Proclus’ concept of nature and show that philosophy of nature consists of several related subdisciplines matching the ontological stratification (...)
  • Privative Negation in the Port Royal Logic.John N. Martin - 2016 - Review of Symbolic Logic 9 (4):664-685.
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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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