•  93
    What Euthyphro Couldn’t Have Said
    with James G. Hanink
    Faith and Philosophy 4 (3): 241-261. 1987.
    In this paper we argue for a simple version of Divine Command Morality, namely that an act’s being morally right consists in its being in accord with God’s will, and an act’s being morally wrong consists in its being contrary to God’s will. In so arguing, we contend that this simple version of Divine Command Morality is not subject to the Euthyphro dilemma, either as Plato or as contemporary critics have ordinarily proposed it. Nor, we maintain, is our position incompatible with the most adequat…Read more
  • The Philosopher's Annual, Volume 23 (edited book)
    Center for the Study of Language and Inf. 2002.
    Each year, _The Philosopher's Annual_ presents the ten best articles published in the field of philosophy during the previous twelve months—with the absence of limits on the articles' sources, subject matter, or modes of treatment making for a very diverse collection of engaging, high-caliber work. This year's volume includes papers by Katalin Balog, Tyler Burge, Cheshire Calhoun, Sally Haslanger, Thomas Hofweber, Philip Kitcher, Charles G. Morgan, Thomas W. Pogge, James Pryor, and Elliott Sober
  •  25
  •  34
    Preface: Building, Mending, and Breaching Walls
    Journal of Chinese Philosophy 44 (1-2): 94-96. 2017.
  •  41
    An Essay on Divine Authority (review)
    Faith and Philosophy 22 (2): 251-254. 2005.
  •  36
    On the Nature and Existence of God
    International Philosophical Quarterly 32 (4): 530-532. 1992.
  • The Philosopher's Annual, Volume 22 (edited book)
    Center for the Study of Language and Inf. 2001.
    _The Philosopher's Annual_ attempts to select the ten best articles published in philosophy the previous year. Impossible? Yes. By attempting the impossible this collection calls attention to truly exceptional critiques from the philosophical field. This is the 22nd volume of the series, collecting outstanding work from the philosophy literature of 1999. Each year the members of the distinguished nominating board are asked to name three papers that most impressed them from the literature of the …Read more
  •  21
    Chinese Virtues, Four Prisons, and the Way On
    Journal of Chinese Philosophy 46 (1-2): 97-118. 2019.
    Journal of Chinese Philosophy, EarlyView.
  •  68
    The Philosophical Computer (review)
    Philosophy and Phenomenological Research 63 (2): 489-492. 2001.
    Grim, Mar and St. Denis frame their unusual philosophy book with a number of quotes, two of which seem particularly appropriate. The first, from Plato, illustrates nicely the degree to which the work in the book is part of a long tradition of philosophical modeling. The second, from Picasso, accurately captures the frustration which many readers will feel.
  •  12
    An Essay on Divine Authority (review)
    Faith and Philosophy 22 (2): 251-254. 2005.
  •  1
    The Philosopher's Annual, Volume 24 (edited book)
    Center for the Study of Language and Inf. 2003.
    This latest volume of _The Philosopher's Annual_ presents the ten best articles published in the field during 2001. No limitations are placed on the articles' sources, subject matter or mode of treatment, providing for a diverse collection of engaging, high-caliber work that stands as a valuable sample of contemporary philosophy. This year's volume includes papers by Robert Bernasconi, Hans Halvorson, Christopher Hitchcock, Ignacio Jane, Brian Leiter, Liam Murphy and Thomas Nagel, Joel Pust, Ali…Read more
  •  60
    The Philosophical Computer: Exploratory Essays in Philosophical Computer Modeling
    with Patrick Grim, Horace Paul St, Paul St Denis, and Paul Saint Denis
    MIT Press. 1998.
    This book is an introduction, entirely by example, to the possibilities of using computer models as tools in phosophical research in general and in philosophical logic in particular. Topics include chaos, fractals, and the semantics of paradox; epistemic dynamics; fractal images of formal systems; the evolution of generosity; real-valued game theory; and computation and undecidability in the spatialized Prisoner's Dilemma.
  •  182
    Review of Logic, Logic and Logic, by George Boolos (review)
    Essays in Philosophy 1 (2): 138-141. 2000.
    This is a review of George Boolos's posthumous anthology of essays entitled "Logic, Logic, and Logic."
  •  57
    Why “Cantorian” Arguments Against the Existence of God Do Not Work
    International Philosophical Quarterly 33 (4): 429-442. 1993.
  •  100
    What the liar taught Achilles
    with Paul St Denis
    Journal of Philosophical Logic 28 (1): 29-46. 1999.
    Zeno's paradoxes of motion and the semantic paradoxes of the Liar have long been thought to have metaphorical affinities. There are, in fact, isomorphisms between variations of Zeno's paradoxes and variations of the Liar paradox in infinite-valued logic. Representing these paradoxes in dynamical systems theory reveals fractal images and provides other geometric ways of visualizing and conceptualizing the paradoxes
  •  6
    REVIEWS-The philosophical computer
    with P. Grim, P. St Denis, and Petr Hajek
    Bulletin of Symbolic Logic 6 (3): 347-348. 2000.
  •  8
    In Conway's Game of Life every cell is either fully alive (has the value of 1) or completey dead (has the value of 0). In Real Life this restriction to bivalence is lieft to countenance "real-valued" degrees of life and death. real Life contains Conway's Game of Life as a special case; however, Real Life, in contrast to Conway's Game of Life, exhbits sensitive dependence on initial conditions which is characteristics of chaotic systems.
  •  136
    The Modal Unity of Anselm’s Proslogion
    Faith and Philosophy 13 (1): 50-67. 1996.
    Anselm claimed that his Proslogion was a “single argument” sufficient to prove “that God truly exists,” that God is “the supreme good requiring nothing else,” as well as to prove “whatever we believe regarding the divine Being.” In this paper we show how Anselm’s argument in the Proslogion and in his Reply to Gaunilo can be reconstructed as a single argument. A logically elegant result is that the various stages of Anselm’s argument are validated by standard axioms from contemporary modal logic.
  •  39
    Logic: Techniques of Formal Reasoning
    with Donald Kalish and Richard Montague
    Oxford University Press USA. 1964.
    Logic: Techniques of Formal Reasoning, 2/e is an introductory volume that teaches students to recognize and construct correct deductions. It takes students through all logical steps--from premise to conclusion--and presents appropriate symbols and terms, while giving examples to clarify principles. Logic, 2/e uses models to establish the invalidity of arguments, and includes exercise sets throughout, ranging from easy to challenging. Solutions are provided to selected exercises, and historical r…Read more
  •  400
    Given certain standard assumptions-that particular sentences are meaningful, for example, and do genuinely self-attribute their own falsity-the paradoxes appear to show intriguing patterns of generally unstable semantic behavior. In what follows we want to concentrate on those patterns themselves: the pattern of the Liar, for example, which if assumed either true or false appears to oscillate endlessly between truth and falsehood.
  •  41
    Divine Foreknowledge and Human Freedom (review)
    Review of Metaphysics 45 (3): 606-607. 1992.
    This book addresses two questions: "How is genuine future contingency compatible with divine foreknowledge?" and "How is foreknowledge possible?" Craig attempts to reconcile future contingency within the constraints of a Biblically informed conception of God. This volume, a companion to Craig's historical survey The Problem of Divine Foreknowledge and Future Contingents from Aristotle to Suarez, is in contrast to that study, is a synoptic and critical survey of the recent literature on theologic…Read more
  •  35
    Evolutionary game theory, morality, and Darwinism
    Journal of Consciousness Studies 7 (1-2): 1-2. 2000.
    Should evolution replace rational choice as the guiding paradigm for game theory? Evolutionary game theory provides an intriguing perspective from which to critique the hyper-rational assumptions of classical economic game theory. In contrast to economic game theory, evolutionary game theory is better suited to descriptive rather than normative domains. It is argued that a pluralism of paradigms holds the best promise for theoretical innovation in game theory