•  14
    We may have a bit of a handle on roughly what kinds of entities the Platonic Forms are. We can think of them as analogous to a number of notions in contemporary philosophy that are denominated “Platonic abstracta”, e.g., propositions, concepts, mathematicals, and the like. We may think them queer, but we have some idea what their queerness consists in. We may even believe that some of these kinds of entities actually exist.
  •  184
    We show that infinitesimal probabilities are much too small for modeling the individual outcome of a countably infinite fair lottery
  •  66
    Popper Functions, Uniform Distributions and Infinite Sequences of Heads
    Journal of Philosophical Logic 44 (3): 259-271. 2015.
    Popper functions allow one to take conditional probabilities as primitive instead of deriving them from unconditional probabilities via the ratio formula P=P/P. A major advantage of this approach is it allows one to condition on events of zero probability. I will show that under plausible symmetry conditions, Popper functions often fail to do what they were supposed to do. For instance, suppose we want to define the Popper function for an isometrically invariant case in two dimensions and hence …Read more
  •  63
    Cosmological and design arguments
    with Richard M. Gale
    In William J. Wainwright (ed.), The Oxford Handbook of Philosophy of Religion, Oxford University Press. pp. 116--137. 2005.
    The cosmological and teleological argument both start with some contingent feature of the actual world and argue that the best or only explanation of that feature is that it was produced by an intelligent and powerful supernatural being. The cosmological argument starts with a general feature, such as the existence of contingent being or the presence of motion and uses some version of the Principle of Sufficient Reason to conclude that this feature must have an explanation. The debate then focus…Read more
  •  64
    Assuming S5, the main controversial premise in modal ontological arguments is the possibility premise, such as that possibly a maximally great being exists. I shall offer a new way of arguing that the possibility premise is probably true
  •  538
    On Two Problems of Divine Simplicity
    Oxford Studies in Philosophy of Religion 1 150-167. 2008.
  •  29
    Much of the discussion had focussed on the question of whether religious experiences are veridical, but then Richard M. Gale asked a more fundamental question: Are they even cognitive? An experience is cognitive if it takes an intentional accusative, such as “red cube” in “I see a red cube,” as opposed to the cognate accusative exemplified by the use of the word “waltz” in “I am dancing a waltz” which is synonymous with “I am dancing waltzily.” Cognitive experiences are objective in the sense th…Read more
  •  172
    The Eucharist : real presence and real absence
    In Thomas P. Flint & Michael Rea (eds.), The Oxford handbook of philosophical theology, Oxford University Press. 2008.
    This article focuses on the question of whether the doctrine of the real presence of Christ's body and blood, and likewise the doctrine of the real absence of bread and wine, can be defended philosophically. It argues for an affirmative answer, and does so by considering a variety of metaphysical models, including that of Aquinas. It will appear, thus, that transubstantiation is a philosophical possibility. If it is possible for two substances to be in the same place at the same time, consubstan…Read more
  •  30
    Let Mm k be the simply connected constant curvature space form of dimension m. • Mm 0 is Rm with euclidean metric • Mm k for k > 0 is an m-sphere of radius k−1/2 • Mm k for k < 0 is m dimensional hyperbolic space modelled on the m-ball of radius (−k)−1/2.
  •  8
    Not Out of Lust but in Accordance with Truth
    Logos: A Journal of Catholic Thought and Culture 6 (4): 51-80. 2003.
  •  106
    Artificial Intelligence and Personal Identity
    Faith and Philosophy 26 (5): 487-500. 2009.
    Persons have objective, not socially defined, identity conditions. I shall argue that robots do not, unless they have souls. Hence, robots without souls are not persons. And by parallel reasoning, neither are we persons if we do not have souls.
  •  135
    The A-theory of time and induction
    Philosophical Studies 152 (3). 2011.
    The A-theory of time says that it is an objective, non-perspectival fact about the world that some events are present, while others were present or will be present. I shall argue that the A-theory has some implausible consequences for inductive reasoning. In particular, the presentist version of the A-theory, which holds that the difference between the present and the non-present consists in the present events being the only ones that exist, is very much in trouble
  •  7
    Animalism is the view that we are animals and, thus, satisfy the criteria of identity proper to animals. This is highly plausible, for instance because it accepts at face value what appears to be the obvious facts that we are mammals—after all, we have the hair, the inner ear bones and the milk that mammals do—and that being a mammal is a way of being an animal. On the main opposing view, one has to hold that associated with each of us there are two entities: a person and an animal, of which we …Read more
  •  6
    Lying and speaking your interlocutor's language
    The Thomist 63 (3): 439-453. 1999.
  •  54
    The Existence of God (edited book)
    with Richard M. Gale
    Ashgate Pub Limited. 2003.
    The latter third of the 20th century has seen the philosophical defence of theism - many philosophers were caught off-guard because they assumed that metaphysics and theology had been dealt with. Moreover, the leaders of this renaissance were analytically-rooted philosophers. Upon examination however, it is clear that significant developments in philosophical theism historically have come upon the heels of breakthroughs in the core areas of philosophy concerning meaning, logic and scientific met…Read more
  •  165
    Review of Graham Oppy, Arguing About Gods (review)
    Notre Dame Philosophical Reviews 2007 (5). 2007.
  •  1
              The production of a number of vaccines involves the use of cell-lines originally derived from fetuses directly aborted in the 1960s and 1970s. Such cell-lines, indeed sometimes the very same ones, are important to on-going research, including at Catholic institutions. The cells currently used are removed by a number of decades and by a significant number of cellular generations from the original cells. Moreover, the original cells extracted from the bodies of the aborted f…Read more
  •  35
              First an outline of the argument Assume that I once was a fetus. Who will deny this —surely a fetus was what I once was? Yet, though it is hard to deny, much of this paper will be work to bolster up this portion of the argument. For now assume this. But now if the right-to-life (understood as the right not to be deprived of life by human decision unless one has deserved such deprivation through a crime that one has been..
  •  22
    Presentation of the Aquinas Medal
    Proceedings of the American Catholic Philosophical Association 81 25-27. 2007.
  •  40
    Complicity, Fetal Tissue, and Vaccines
    The National Catholic Bioethics Quarterly 6 (3): 461-470. 2006.
  •  10
    p and q, one of “were p true, q would be true” and “were p true, not- q would be true” is true. Therefore, even if Curley is not offered the bribe, either he would take it were he offered it or he would not take it were he offered it.
  •  5
    Assume for simplicity that human mental states are constituted by brain states (if dualism holds, copying of brain states may need to be replaced with copying of soul states). According to psychological continuity theories of personal identity, if the personality and memories of a human person A were copied into the brain of B while the brain of A were destroyed, and no other copies were made, then A would survive in the B-body and would be identical with the post-operative person occupying the …Read more
  •  6
    I argue that an examination of the analogy between the notion of a bug and that of a genetic defect supports an analogy not just between a computer program and DNA, but between a computer program designed by a programmer and DNA. This provides an analogical teleological argument for the existence of a highly intelligent designer.
  •  30
    The A-theory of time states that there is an absolute fact of the matter about what events are, respectively, in the past, present and future. The B-theory says that all there is to temporality are the relations of earlier-than, later-than and simultaneous-with, and the past, present and future are merely relative.
  •  624
    The Hume-Edwards principle and the cosmological argument
    International Journal for Philosophy of Religion 43 (3): 149-165. 1998.
  •  23
    One Body: Overview
    Roczniki Filozoficzne 63 (3): 7-19. 2015.
    I offer a reading of my book One Body on Christian sexual ethics as an application of Inference to Best Explanation based on theological and philosophical data.
  •  498
  •  50
    The Cosmos as a Work of Art
    Proceedings of the American Catholic Philosophical Association 94 205-213. 2020.
    I shall defend Augustine’s holistic aesthetic response to the problem of evil by considering the variety of ways in which our vision of the cosmos is limited and how this is similar to the kinds of limitations on viewing a work of art that would make negative criticism unreasonable. At the same time, I identify an interesting asymmetry: we may be justified in making positive, but not negative, judgments about the creator’s skill on the basis of a mere partial perception.
  •  41
    In simplified form, the argument that I am defending holds that the incompatibility of our freedom with determinism follows from the conjunction of (1) a plausible supervenience claim which says that whether a human agent is free depends only on what happens during the agent’s life and (2) a freedom-cancellation principle of Richard Gale which says that an agent is not free if all of her actions are intentionally brought about by another agent. Improved versions of (1) and (2) are also considere…Read more
  •  20
    Let S be the set of all entities that exist (or have existed). Define the relation <= on S by saying that x<=y if and only y is a cause of x. By verbal fiat we will define x to be a cause of x for all x in S (if we do not accept this definition, our assumptions will be slightly different; however, it is clear that the existence of x is necessary and sufficient for the existence of x, and that the existence of x is never strictly temporally posterior to that of x, so calling x a cause of itself i…Read more