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Paul Oppenheimer [7]Paul E. Oppenheimer [4]
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Profile: Paul Edward Oppenheimer (Stanford University)
  1. Paul E. Oppenheimer & Edward N. Zalta (1991). On the Logic of the Ontological Argument. Philosophical Perspectives 5:509-529.
    In this paper, the authors show that there is a reading of St. Anselm's ontological argument in Proslogium II that is logically valid (the premises entail the conclusion). This reading takes Anselm's use of the definite description "that than which nothing greater can be conceived" seriously. Consider a first-order language and logic in which definite descriptions are genuine terms, and in which the quantified sentence "there is an x such that..." does not imply "x exists". Then, using an (...)
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  2. Paul Oppenheimer & Edward N. Zalta (2011). A Computationally-Discovered Simplification of the Ontological Argument. Australasian Journal of Philosophy 89 (2):333 - 349.
    The authors investigated the ontological argument computationally. The premises and conclusion of the argument are represented in the syntax understood by the automated reasoning engine PROVER9. Using the logic of definite descriptions, the authors developed a valid representation of the argument that required three non-logical premises. PROVER9, however, discovered a simpler valid argument for God's existence from a single non-logical premise. Reducing the argument to one non-logical premise brings the investigation of the soundness of (...)
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  3. Paul E. Oppenheimer & Edward N. Zalta (2007). Reflections on the Logic of the Ontological Argument. Studia Neoaristotelica 4 (1):28-35.
    In this paper, the authors evaluate the ontological argument they developed in their 1991 paper as to soundness. They focus on Anselm's first premise, which asserts: there is a conceivable thing than which nothing greater is conceivable. After suggesting reasons why this premise is false, the authors show that there is a reading of this premise on which it is true. Such a premise can be used in a valid and sound reconstruction of the ontological argument. (...)
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  4.  51
    Paul Oppenheimer & Edward N. Zalta (2011). Relations Vs Functions at the Foundations of Logic: Type-Theoretic Considerations. Journal of Logic and Computation 21:351-374.
    Though Frege was interested primarily in reducing mathematics to logic, he succeeded in reducing an important part of logic to mathematics by defining relations in terms of functions. By contrast, Whitehead & Russell reduced an important part of mathematics to logic by defining functions in terms of relations (using the definite description operator). We argue that there is a reason to prefer Whitehead & Russell's reduction of functions to relations over Frege's reduction of relations to functions. There is an interesting (...)
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  5.  10
    Paul Oppenheimer & Ralf Meerbote (1980). The Certainty of Skepticism. Grazer Philosophische Studien 11:125-128.
    Carrier in a recent paper urges for consideration an argument for skepticism which is based on premises one of which in turn is to be defended by yet another principle (the "Janus Principle" of the text). We feel that the latter principle and the way Carrier wants to use it to defend his skeptical argument will find adherents, but we show that this argument rests on an interesting equivocation quite beyond repair even if we accept the "Janus Principle".
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  6.  7
    Paul E. Oppenheimer & Edward N. Zalta (2007). O logice ontologického důkazu. Studia Neoaristotelica 4 (1):5-27.
    In this paper, the authors show that there is a reading of St. Anselm’s ontological argument in Proslogium II that is logically valid (the premises entail the conclusion). This reading takes Anselm’s use of the definite description “that than which nothing greater can be conceived” seriously. Consider a first-order language and logic in which definite descriptions are genuine terms, and in which the quantified sentence “there is an x such that…” does not imply “x exists”. Then, using an ordinary logic (...)
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    Edward N. Zalta & Paul E. Oppenheimer (2007). O logice ontologického důkazu. Studia Neoaristotelica 4 (1):5-27.
    De argumenti ontologici forma logicaTractatione proposita auctores manifestant, „Argumentum Ontologicum“ St. Anselmi in 2° capitulo eius Proslogii inscriptum ut validum exponi posse (i. e. consequentiam bonam servando). Hac in interpretatione vis et notio descriptionis illae „id quo maius cogitari nequit“, qua Anselmus usus est, rite agnoscitur. Datis enim lingua formali „primi ordinis“, ut aiunt, et systemati deductivo logicae huiusmodi, in quo descriptiones definitae genuini sunt termini et ubi a sententia „datur x quod…“ signo quantitatis praefixa ad sententiam „x exsistit“ consequentia (...)
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  8. Paul Oppenheimer (2002). Dangerous Thoughts, Puzzling Responses: Theodore Ziolkowski, The Sin of Knowledge: Ancient Themes and Modern Variations. [REVIEW] Arion 10 (2).
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  9. Paul Oppenheimer (1996). Evil and the Demonic: A New Theory of Monstrous Behavior. New York University Press.
    "A wild and exuberant romp through the terrain of the monstrous . . . Oppenheimer's lucid explanations are the perfect antidotes to the sordid scenes he recreates." -American Book Review "A masterly and original study of one of the most frightening topics with which human beings have to struggle." -Literary Review "What is compelling, different and page-turning about this impressive book is that the author analyses evil through the medium of films and literature . . . Cinema buffs will find (...)
     
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  10. Paul Oppenheimer (forthcoming). "Goethe and Modernism: The Dream of Anachronism in Goethe's" Roman Elegies". Arion.
     
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  11. Paul Oppenheimer (unknown). The Dream of Anachronism in Goethe’s Roman Elegies. Arion 6 (1).
     
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