•  283
    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
  •  1
    Leibniz's Approach to Individuation and Strawson's Criticisms
    Studia Leibnitiana 30 (1): 116-123. 1998.
    P. F. Strawson a critiqué le compte de Leibniz de 1'individuation, en demandant pourquoi il est métaphysiquement impossible pour qu'il y ait des consciences indiscernables mais distincts. L'analogie entre la conscience et la monade est centrale pour Leibniz, et done la critique de Strawson met en question la nécessité métaphysique du principe de l'identité des indiscernables . Par un examen de quelques questions dans le système ontologique de Leibniz, nous défendrons la nécessité métaphysique du…Read more
  •  122
    A recombinationist like the earlier Armstrong (1989) claims that logically possible worlds are recombinations of items found in the actual world, with some items reduplicated if need be and others deleted. An immediate consequence of this is that if an alien property is a property that could only be defined in terms of fundamental properties that are actually uninstantiated, then it is logically impossible that an alien property be instantiated as no recombination of the items in the actual wor…Read more
  •  151
    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
  •  373
    Incompatibilism proved
    Canadian Journal of Philosophy 43 (4): 430-437. 2013.
    (2013). Incompatibilism proved. Canadian Journal of Philosophy. ???aop.label???
  •  107
    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
  •  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
  •  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.
  •  93
    Freedom, Will, and Nature
    Proceedings of the American Catholic Philosophical Association 81 25-27. 2007.
  •  684
    On Two Problems of Divine Simplicity
    Oxford Studies in Philosophy of Religion 1 150-167. 2008.
  •  18
  •  515
    The Leibnizian Cosmological Argument
    In William Lane Craig & J. P. Moreland (eds.), The Blackwell Companion to Natural Theology, Wiley-blackwell. 2012.
    This chapter contains sections titled: Introduction The PSR Nonlocal CPs Toward a First Cause The Gap Problem Conclusions and Further Research References.
  •  18
    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
  •  438
    A response to Oppy, and to Davey and Clifton
    with Richard M. Gale
    Religious Studies 38 (1): 89-99. 2002.
    Our paper ‘A new cosmological argument’ gave an argument for the existence of God making use of the weak Principle of Sufficient Reason (W-PSR) which states that for every proposition p, if p is true, then it is possible that there is an explanation for p. Recently, Graham Oppy, as well as Kevin Davey and Rob Clifton, have criticized the argument. We reply to these criticisms. The most interesting kind of criticism in both papers alleges that the W-PSR can be justifiably denied by the atheist, a…Read more
  •  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
              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
  •  1433
    Nestes Modes, ’Qua’ and the Incarnation
    European Journal for Philosophy of Religion 6 (2): 65--80. 2014.
    A nested mode ontology allows one to make sense of apparently contradictory Christological claims such as that Christ knows everything and there are some things Christ does not know.
  •  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
  •  60
    Complicity, Fetal Tissue, and Vaccines
    The National Catholic Bioethics Quarterly 6 (3): 461-470. 2006.
  •  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
  •  484
    Probability, Regularity, and Cardinality
    Philosophy of Science 80 (2): 231-240. 2013.
    Regularity is the thesis that all contingent propositions should be assigned probabilities strictly between zero and one. I will prove on cardinality grounds that if the domain is large enough, a regular probability assignment is impossible, even if we expand the range of values that probabilities can take, including, for instance, hyperreal values, and significantly weaken the axioms of probability.
  •  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.
  •  43
    I argue against psychological theories of identity that claim that in cases where one’s personality and memories are moved into the brain of another, we move with them. I am not entirely convinced by my arguments here, I must confess, but I think they deserve some thought.
  •  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.
  •  234
    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.
  •  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.
  •  25
    The pseudonymous author of this article argues that neither Kierkegaard nor Climacus in the Concluding Unscientific Postscript are claiming that Christian beliefs are nonsense or contradictory, but that it is contrary to universal epistemic norms to believe these beliefs or even to believe they can be believed. In an appendix for which the rest of the article is a preparation the author gives an interpretation of the pseudonymity and form-content contradiction and of how Kierkegaard in a sense a…Read more
  •  82
    I argue that it is possible for a human animal to survive the loss of all bodily parts other than the brain
  •  84
    “Ex nihilo nihil fit,” goes the classic adage: nothing comes from nothing. Parmenides used the Principle of Sufficient Reason to argue that there was no such thing as change: If there was change, why did it happen when it happened rather than earlier or later? “Nothing happens in vain, but everything for a reason and under necessitation,” claimed Leucippus. Saint Thomas insisted in the.