•  124
    Correction to John D. Norton “How to build an infinite lottery machine”
    European Journal for Philosophy of Science 8 (1): 143-144. 2018.
    An infinite lottery machine is used as a foil for testing the reach of inductive inference, since inferences concerning it require novel extensions of probability. Its use is defensible if there is some sense in which the lottery is physically possible, even if exotic physics is needed. I argue that exotic physics is needed and describe several proposals that fail and at least one that succeeds well enough.
  •  83
    Sceptical Theism, the Butterfly Effect and Bracketing the Unknown
    Royal Institute of Philosophy Supplement 81 71-86. 2017.
    Sceptical theism claims that we have vast ignorance about the realm of value and the connections, causal and modal, between goods and bads. This ignorance makes it reasonable for a theist to say that God has reasons beyond our ken for allowing the horrendous evils we observe. But if so, then does this not lead to moral paralysis when we need to prevent evils ourselves? For, for aught that we know, there are reasons beyond our ken for us to allow the evils, and so we should not prevent them. This…Read more
  •  70
    Possible Worlds: What They Are Good for and What They Are
    Dissertation, University of Pittsburgh. 2001.
    This thesis examines the alethic modal concepts of possibility and necessity. It is argued that one cannot do justice to all our modal talk without possible worlds, i.e., complete ways that a cosmos might have been. I argue that not all of the proposed applications of possible worlds succeed but enough remain to give one good theoretical reason to posit them. The two central problems now are: What feature of reality makes correct alethic modal claims true and What are possible worlds? ;David Lew…Read more
  •  148
    Probability and the Open Future View
    Faith and Philosophy 27 (2): 190-196. 2010.
    I defend a simple argument for why considerations of epistemic probability should lead us away from Open Future views according to which claims about the future are never true.
  •  10
    There is a long tradition of arguments for the existence of God. Early examples include Aristotle’s cosmological argument in Book Lambda of the Metaphysics, arguing that if there is change, there must be at least one unchanging and perfect being that originates all change, while the first chapter of Romans and chapter 13 of the Book of Wisdom insist that “from the greatness and the beauty of created things their original author, by analogy, is seen” (Wis. 13:5, NAB). This tradition continues, an…Read more
  •  40
    The free-will defence holds that the value of significant free will is so great that God is justified in creating significantly free creatures even if there is a risk or certainty that these creatures will sin. A difficulty for the FWD, developed carefully by Quentin Smith, is that God is unable to do evil, and yet surely lacks no genuinely valuable kind of freedom. Smith argues that the kind of freedom that God has can be had by creatures, without a risk of creatures doing evil. I shall show th…Read more
  •  31
    One Body: An Essay in Christian Sexual Ethics
    University of Notre Dame Press. 2012.
    This important philosophical reflection on love and sexuality from a broadly Christian perspective is aimed at philosophers, theologians, and educated Christian readers. Alexander R. Pruss focuses on foundational questions on the nature of romantic love and on controversial questions in sexual ethics on the basis of the fundamental idea that romantic love pursues union of two persons as one body. _One Body_ begins with an account, inspired by St. Thomas Aquinas, of the general nature of love as …Read more
  •  50
    A New Way to Reconcile Creation with Current Biological Science
    Proceedings of the American Catholic Philosophical Association 85 213-222. 2011.
    I shall argue that, appearances to the contrary notwithstanding, current biological science does not rule out the possibility of miraculous intervention in the evolutionary history of human beings. This shows that it is possible to reconcile evolutionary science with the claim that we are designed by God.
  •  6
    The cosmos is filled with evil that seemingly has no redeeming value. Granted, some evils do lead to greater goods, sometimes goods that could not exist without the evils. Thus, the exercise of courage is a good that requires either an actual evil to stand firm in the face of or the illusion of an evil—and an illusion is a kind of evil, too. But many evils appear to serve no such purpose. Philosophers call an evil that a supremely good God would have insufficient reason to permit to exist a grat…Read more
  •  1
    I argue that standard functionalism leads to absurd conclusions as to the number of minds that would exist in the universe if persons were duplicated. Rather than yielding the conclusion that making a molecule-by-molecule copy of a material person would result in two persons, it leads to the conclusion that three persons, or perhaps only one person, would result. This is absurd and standard functionalism should be abandoned. Social varieties of functionalism fare no better, though there is an Ar…Read more
  •  23
    Some people are opposed to abortion in general because they loved their children when these were fetuses. While this may be a psychological explanation of why these people believe thus, and perhaps an argument for these people not to abort the children they love, it does not at first sight seem to be an argument for the..
  •  206
    A Counterexample to Plantinga’s Free Will Defense
    Faith and Philosophy 29 (4): 400-415. 2012.
    Plantinga’s Free Will Defense is an argument that, possibly, God cannot actualize a world containing significant creaturely free will and no wrongdoings. I will argue that if standard Molinism is true, there is a pair of worlds w1 and w2 each of which contains a significantly free creature who never chooses wrongly, and that are such that, necessarily, at least one of these worlds is a world that God can actualize.
  •  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
  •  82
    (No abstract is available for this citation)
  •  538
    Evil and the problem of anomaly
    Oxford Studies in Philosophy of Religion 5 49-87. 2014.
  •  152
    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
  •  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
  •  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
  •  184
    We show that infinitesimal probabilities are much too small for modeling the individual outcome of a countably infinite fair lottery
  •  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.