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John N. Martin [25]John Neil Martin [1]
  1. John N. Martin (2014). Malebranche's Neoplatonic Semantic Theory1. International Journal of the Platonic Tradition 8 (1):33-71.
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  2. John N. Martin (2013). Distributive Terms, Truth, and thePort Royal Logic. History and Philosophy of Logic 34 (2):133-154.
  3. John N. Martin (2011). Existential Import in Cartesian Semantics. 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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  4. John Neil Martin (2008). The Lover of the Beautiful and the Good: Platonic Foundations of Aesthetic and Moral Value. 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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  5. John N. Martin (2005). Themes in Neoplatonic and Aristotelian Logic. Ars Disputandi 5.
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  6. John N. Martin (2004). Themes in Neoplatonic and Aristotelian Logic: Order, Negotiation, and Abstraction. Ashgate.
    This book shows otherwise. John Martin rehabilitates Neoplatonism, founded by Plotinus and brought into Christianity by St. Augustine.
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  7. John N. Martin (2003). All Brutes Are Subhuman: Aristotle and Ockham on Private Negation. Synthese 134 (3):429 - 461.
    The mediaeval logic of Aristotelian privation, represented by Ockham's expositionof All A is non-P as All S is of a type T that is naturally P and no S is P, iscritically evaluated as an account of privative negation. It is argued that there aretwo senses of privative negation: (1) an intensifier (as in subhuman), the dualof Neoplatonic hypernegation (superhuman), which is studied in linguistics asan operator on scalar adjectives, and (2) a (often lexicalized) Boolean complementrelative to the extension of (...)
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  8. John N. Martin (2002). Lukasiewicz's Many-Valued Logic and Neoplatonic Scalar Modality. 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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  9. John N. Martin (2001). Proclus and the Neoplatonic Syllogistic. 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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  10. John N. Martin (1996). Whether Logic Should Satisfy the Humanities Requirement. Teaching Philosophy 19 (4):385-396.
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  11. John N. Martin (1995). Existence, Negation, and Abstraction in the Neoplatonic Hierarchy1. History and Philosophy of Logic 16 (2):169-196.
    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 (...)
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  12. John N. Martin (1993). The Disputation. Teaching Philosophy 16 (4):374-375.
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  13. John N. Martin (1991). Order Theoretic Properties of Holistic Ethical Theories. Environmental Ethics 13 (3):215-234.
    Using concepts from abstract algebra and type theory, I analyze the structural presuppositions of any holistic ethical theory. This study is motivated by such recent holistic theories in environmental ethics as Aldo Leopold’s land ethic, James E. Lovelock’s Gaia hypothesis, Arne Naess’ deep ecology, and various aesthetic ethics of the sublime. I also discuss the holistic and type theoretic assumptions of suchstandard ethical theories as hedonism, natural rights theory, utilitarianism, Rawls’ difference principle, and fascism. I argue that although there are (...)
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  14. John N. Martin (1990). Review: Rob R. Brady, The Logicworks. Student Manual; Rob R. Brady, The Logicworks. Guide for Instructors. [REVIEW] Journal of Symbolic Logic 55 (1):368-370.
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  15. John N. Martin (1989). A Tense Logic for Boethius. History and Philosophy of Logic 10 (2):203-212.
    An interpretation in modal and tense logic is proposed for Boethius's reconciliation of God's foreknowledge with human freedom from The consolation of philosophy, Book V. The interpretation incorporates a suggestion by Paul Spade that God's special status in time be explained as a restriction of God's knowledge to eternal sentences. The argument proves valid, and the seeming restriction on omnipotence is mitigated by the very strong expressive power of eternal sentences.
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  16. John N. Martin (1988). Philip P. Hanson, Ed.: Environmental Ethics: Philosophy and Policy Perspectives, and John Howell, Ed.: Environment and Ethics - a New Zealand Contribution. [REVIEW] Environmental Ethics 10 (4):357-362.
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  17. John N. Martin (1987). Elements of Formal Semantics: An Introduction to Logic for Students of Language. Academic Press.
     
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  18. John N. Martin (1986). Philosophy and Science Fiction. Teaching Philosophy 9 (3):280-281.
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  19. John N. Martin (1984). Epistemic Semantics for Classical and Intuitionistic Logic. Notre Dame Journal of Formal Logic 25 (2):105-116.
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  20. John N. Martin (1984). The Semantics of Frege'sgrundgesetze. History and Philosophy of Logic 5 (2):143-176.
    Quantifiers in Frege's Grundgesetze like are not well-defined because the part Fx & Gx stands for a concept but the yoking conjunction is horizontalised and must stand for a truth-value. This standard interpretation is rejected in favor of a substitutional reading that, it is argued, both conforms better to the text and is well-defined. The theory of the horizontal is investigated in detail and the composite reading of Frege's connectives as made up of horizontals is rejected. The sense in which (...)
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  21. John N. Martin (1983). Philosophy of Economics. Teaching Philosophy 6 (1):84-86.
  22. John N. Martin (1982). Negation, Ambiguity, and the Identity Test. Journal of Semantics 1 (3-4):251-274.
    Negation has been closely tied to semantic presupposition since the concept was first discussed. In most accounts there is a definition or a theorem to the effect that A presupposes B if and only if A and the negation of A, in one sense of negation, both entail B. The multiple senses of negation assumed by such principles have been criticized and along with it the concept of presupposition. Indeed one of the most interesting arguments against semantic presupposition is the (...)
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  23. John N. Martin (1980). Philosophy and Economic Theory. Teaching Philosophy 3 (4):495-497.
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  24. John N. Martin (1979). The Concept of the Irreplaceable. Environmental Ethics 1 (1):31-48.
    An analysis is proposed for the common argument that something should be preserved because it is irreplaceable. The argument is shown to depend on modal elements in irreplaceable, existence assumptions of preserve, and the logic of obligation. In terms of this theory it is argued that utilitarianism can account for most, but not all instances of persuasive appeals to irreplaceability. Beingessentially backwards looking, utilitarianism cannot in principle justify preservation of objects irreplaceable because of their history or genesis.
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  25. John N. Martin (1977). An Axiomatization of Herzberger's $2$-Dimensional Presuppositional Semantics. [REVIEW] Notre Dame Journal of Formal Logic 18 (3):378-382.
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  26. John N. Martin (1975). A Syntactic Characterization of Kleene's Strong Connectives with Two Designated Values. Mathematical Logic Quarterly 21 (1):181-184.
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