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  1. Privative negation in the port Royal logic.John N. Martin - 2016 - Review of Symbolic Logic 9 (4):664-685.
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  • Malebranche’s Neoplatonic Semantic Theory.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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  • Distributive Terms, Truth, and the Port Royal Logic.John N. Martin - 2013 - History and Philosophy of Logic 34 (2):133-154.
    The paper shows that in the Art of Thinking (The Port Royal Logic) Arnauld and Nicole introduce a new way to state the truth-conditions for categorical propositions. The definition uses two new ideas: the notion of distributive or, as they call it, universal term, which they abstract from distributive supposition in medieval logic, and their own version of what is now called a conservative quantifier in general quantification theory. Contrary to the interpretation of Jean-Claude Parienté and others, the truth-conditions do (...)
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  • Antoine Arnauld.Elmar Kremer - 2008 - Stanford Encyclopedia of Philosophy.
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