•  41
    I identify a fallacy in Hales and Johnson ’s argument that endurantism is incompatible with special relativity and argue that an improvement on their argument also does not succeed
  •  158
    Conditional probabilities
    Analysis 72 (3): 488-491. 2012.
    A simple argument is given that shows that conditional probabilities do not supervene on unconditional probabilities. In particular, one cannot in general define conditional probabilities using the ratio formula P ( U | V ) = P ( U & V )/ P ( U ), or using any more sophisticated method based on unconditional probabilities
  •  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.
  •  12
    Case 1 (transplant) . You are a surgeon doing an appendectomy on Fred, who is otherwise healthy. You know from his file that, just by chance, his heart, lungs, bone marrow, liver and two kidneys are a perfect match for fifteen patients in your hospital who need various organs or bone marrow, of both of which there is a severe shortage of these organs; Fred, however, has refused to donate anything. If the fifteen patients do not receive the transplants today, they will die. You skillfully use you…Read more
  •  539
    Evil and the problem of anomaly
    Oxford Studies in Philosophy of Religion 5 49-87. 2014.
  •  153
    Prophecy without middle knowledge
    Faith and Philosophy 24 (4): 433-457. 2007.
    While it might seem prima facie plausible that divine foreknowledge is all that is needed for prophecy, this seems incorrect. To issue a prophecy, God hasto know not just how someone will act, but how someone would act were the prophecy issued. This makes some think that Middle Knowledge is required.I argue that Thomas Flint’s two Middle Knowledge based accounts of prophecy are unsatisfactory, but one of them can be repaired. However the resources needed for repair also yield a sketch of a forek…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
  •  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
  •  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.
  •  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