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297Infinitesimals are too small for countably infinite fair lotteriesSynthese 191 (6): 1051-1057. 2014.We show that infinitesimal probabilities are much too small for modeling the individual outcome of a countably infinite fair lottery
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46A 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..
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150An Open Infinite Future is ImpossibleFaith and Philosophy 33 (4): 461-464. 2016.According to the Open Futurist there are no true undetermined contingent propositions about the future. I shall argue on probabilistic grounds that there are some statements about infinite futures that Open Futurism cannot handle. The Open Futurist’s best bet is to reject an infinite future, but a Christian philosopher cannot take that bet, and hence should reject Open Futurism.
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95Ultimate ExplanationsContemporary Pragmatism 2 (2): 35-48. 2005.Nicholas Rescher accepts the Principle of Sufficient Reason. In his Nature and Understanding, he gives two candidates for an ultimate explanation: a virtuously circular explanations of facts by laws and laws by facts, and an explanation of the world in terms of optimalism. I argue that the first of these depends on the second, and that the second could be improved by switching to a weaker optimalism or to a theistic explanation
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184From restricted to full omniscience: ALEXANDER R. PRUSSReligious Studies 47 (2): 257-264. 2011.Some, notably Peter van Inwagen, in order to avoid problems with free will and omniscience, replace the condition that an omniscient being knows all true propositions with a version of the apparently weaker condition that an omniscient being knows all knowable true propositions. I shall show that the apparently weaker condition, when conjoined with uncontroversial claims and the logical closure of an omniscient being's knowledge, still yields the claim that an omniscient being knows all true pro…Read more
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160Omniscience, Weak PSR, and MethodPhilo 6 (1): 33-48. 2003.Adhering to the traditional concept of omniscience lands Gale in the incoherence Grim’s Cantorian arguments reveal in talk of “all propositions.” By constructing variants and extensions of Grim’s arguments, I explain why various ways out of the incoherence are unacceptable, why theists would do better to adopt a certain revisionary concept of omniscience, and why the Cantorian troubles are so deep as to be troubles as well for Gale’s Weak PSR. I conclude with some brief reflections on method, su…Read more
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941The Hume-Edwards principle and the cosmological argumentInternational Journal for Philosophy of Religion 43 (3): 149-165. 1998.
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11          Despite the fact that the strength of argument is clearly on the pro-life side—nobody except a handful of academics would question the grave wrongness of abortion were pregnancy never inconvenient—somehow ordinary intelligent people, like our students, often remain unconvinced. There are many reasons for this, of course. For instance, a number of students have had their children aborted while many know others who have had abortions, and one does not want to condemn onesel…Read more
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111One Body: Responses to CriticsRoczniki Filozoficzne 63 (3): 155-175. 2015.In this article I respond to a number of powerful criticisms of my book One Body.
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322A Counterexample to Plantinga’s Free Will DefenseFaith 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.
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62The Badness of Being Certain of a Falsehood is at Least 1/(Log 4 − 1) Times Greater than the Value of Being Certain of a TruthLogos and Episteme 3 (2): 229-238. 2012.Surprisingly precise results are provided on how much more one should disvalue being wrong than one values being right.
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81SpinozaÂ’s God is a being with infinite attributes, each of which expresses infinite essence. Does this mean that God has infinitely many attributes, each of which expresses infinite essence, or does God simply have attributes, each of which is infinite and expresses infinite essence? SpinozaÂ’s argumentation in Letter 9 and the Scholium to Prop. I.10 clearly indicates that it is not just each individual attribute that is infinite, but there are in some sense infinitely many of them. This would seem …Read more
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20Let 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
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180Conjunctions, Disjunctions and Lewisian Semantics for CounterfactualsSynthese 156 (1): 33-52. 2007.Consider the reasonable axioms of subjunctive conditionals if p → q1 and p → q2 at some world, then p → at that world, and if p1 → q and p2 → q at some world, then → q at that world, where p → q is the subjunctive conditional. I show that a Lewis-style semantics for subjunctive conditionals satisfies these axioms if and only if one makes a certain technical assumption about the closeness relation, an assumption that is probably false. I will then show how Lewisian semantics can be modified so as…Read more
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108          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..
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279Sincerely Asserting What You Do Not BelieveAustralasian Journal of Philosophy 90 (3). 2012.I offer examples showing that, pace G. E. Moore, it is possible to assert ?Q and I don't believe that Q? sincerely, truly, and without any absurdity. The examples also refute the following principles: (a) justification to assert p entails justification to assert that one believes p (Gareth Evans); (b) the sincerity condition on assertion is that one believes what one says (John Searle); and (c) to assert (to someone) something that one believes to be false is to lie (Don Fallis)
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247Another Step in Divine Command DialecticsFaith and Philosophy 26 (4): 432-439. 2009.Consider the following three-step dialectics. (1) Even if God (consistently) commanded torture of the innocent, it would still be wrong. Therefore Divine Command Metaethics (DCM) is false. (2) No: for it is impossible for God to command torture of the innocent. (3) Even if it is impossible, there is a non-trivially true per impossibile counterfactual that even if God (consistently) commanded torture of the innocent, it would still be wrong, and this counterfactual is incompatible with DCM. I s…Read more
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99How Not to Reconcile the Creation of Human Beings with EvolutionPhilosophia Christi 9 (1): 145-163. 2007.
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5I give a simple counterexample to Salmon’s account of causal processes in terms of mark transmission. The example has the advantage that not only does it appear to qualify as transmission of a mark under Salmon’s definition of mark transmission, but it appears to actually be an instance of mark transmission.
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482The Principle of Sufficient Reason: A ReassessmentCambridge University Press. 2006.The Principle of Sufficient Reason says that all contingent facts must have explanation. In this 2006 volume, which was the first on the topic in the English language in nearly half a century, Alexander Pruss examines the substantive philosophical issues raised by the Principle Reason. Discussing various forms of the PSR and selected historical episodes, from Parmenides, Leibnez, and Hume, Pruss defends the claim that every true contingent proposition must have an explanation against major objec…Read more
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1I 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
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225Probability and the Open Future ViewFaith 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.
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192Artificial Intelligence and Personal IdentityFaith 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.
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313The Eucharist : real presence and real absenceIn 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
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166Developmental Theism: From Pure Will to Unbounded Love, by Peter ForrestMind 118 (472): 1132-1135. 2009.(No abstract is available for this citation)
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275OmnirationalityRes Philosophica 90 (1): 1-21. 2013.God is omnirational: whenever he does anything, he does it for all and only the unexcluded reasons that favor the action, and he always acts for reasons. Thisdoctrine has two unexpected consequences: it gives an account of why it is that unification is a genuine form of scientific explanation, and it answers the question of when the occurrence of E after a petitionary prayer for E is an answer to the prayer
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118The Existence of God (edited book)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
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174The actual and the possibleIn Richard M. Gale (ed.), The Blackwell Guide to Metaphysics, Wiley-blackwell. pp. 317--33. 2002.This chapter contains sections titled: Introduction Two Interrelated Problems Lewis's Solution Inductive Paradox Identity versus Counterpart Theory Platonism: The Main Realist Alternative to Lewis An Aristotelian Alternative Leibniz's Account A Combined Account.