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294Infinitesimals 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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6Programs, bugs, DNA and a design argumentIn Yujin Nagasawa & Erik Wielenberg (eds.), New Waves in Philosophy of Religion, Palgrave Macmillan. 2008.
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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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253Time without Creation?Faith and Philosophy 31 (4): 401-411. 2014.We introduce three arguments for the thesis that time cannot exist prior to an original creation event. In the first argument, we seek to show that if time doesn’t depend upon creation, then time is infinite in the backwards direction, which is incompatible with arguments for a finite past. In the second and third arguments, we allow for the possibility of backwards-infinite time but argue that God could not have a sufficiently good reason to refrain from creating for infinitely many moments—eit…Read more
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178From 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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78One Body: OverviewRoczniki 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.
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320A 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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302The essential divine-perfection objection to the free-will defenceReligious Studies 44 (4): 433-444. 2008.The free-will defence (FWD) 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 s…Read more
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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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276The accomplishment of plans: a new version of the principle of double effectPhilosophical Studies 165 (1): 49-69. 2013.The classical principle of double effect offers permissibility conditions for actions foreseen to lead to evil outcomes. I shall argue that certain kinds of closeness cases, as well as general heuristic considerations about the order of explanation, lead us to replace the intensional concept of intention with the extensional concept of accomplishment in double effect
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78SpinozaÂ’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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23Some 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..
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99Regular probability comparisons imply the Banach–Tarski ParadoxSynthese 191 (15): 3525-3540. 2014.Consider the regularity thesis that each possible event has non-zero probability. Hájek challenges this in two ways: there can be nonmeasurable events that have no probability at all and on a large enough sample space, some probabilities will have to be zero. But arguments for the existence of nonmeasurable events depend on the axiom of choice. We shall show that the existence of anything like regular probabilities is by itself enough to imply a weak version of AC sufficient to prove the Banach–…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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89Professor Lucas' second epistemic wayInternational Journal for Philosophy of Religion 45 (3): 189-194. 1999.
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245Another 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.