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  1. Validity, the Squeezing Argument and Alternative Semantic Systems: the Case of Aristotelian Syllogistic. [REVIEW]Catarina Dutilh Novaes & Edgar Andrade-Lotero - 2012 - Journal of Philosophical Logic 41 (2):387 - 418.
    We investigate the philosophical significance of the existence of different semantic systems with respect to which a given deductive system is sound and complete. Our case study will be Corcoran's deductive system D for Aristotelian syllogistic and some of the different semantic systems for syllogistic that have been proposed in the literature. We shall prove that they are not equivalent, in spite of D being sound and complete with respect to each of them. Beyond the specific case of syllogistic, the (...)
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  • Negacja jako operator dyskursywny.Rafał Palczewski - 2018 - Roczniki Filozoficzne 66 (2):129-148.
    Praca jest poświęcona negacji dyskursywnej (metajęzykowej). Omawiane są jej funkcje (np. sprostowanie, uwypuklenie, zaskoczenie), rodzaje (np. implikacyjna, językowa, prozodyczna) i własności (np. pozorna sprzeczność, pragmatyczne odkodowanie, przytoczenie, a nie użycie, brak konstrukcji z prefiksem „nie”, brak konstrukcji z zaimkami negatywnymi). Następnie rozpatrzona została możliwość, że negacja dyskursywna jest jedynie szczególnym przypadkiem innych rodzajów negacji, w szczególności negacji kontrastywnej lub illokucyjnej. Dalej postawiono pytanie, czy w przypadku negacji dyskursywnej mamy do czynienia ze zjawiskiem semantycznym czy pragmatycznym, jak również, czy jest możliwe (...)
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  • The lover of the beautiful and the good: Platonic foundations of aesthetic and moral value.John Neil 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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  • 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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  • 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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  • 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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