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  1. Grim Reaper Paradoxes and Patchwork Principles: Severing the Case for Finitism.Troy Dana & Joseph C. Schmid - forthcoming - Journal of Philosophy.
    Benardete paradoxes involve infinite collections of Grim Reapers, assassins, demons, deafening peals, or even sentences. These paradoxes have recently been used in arguments for finitist metaphysical theses such as temporal finitism, causal finitism, and discrete views of time. Here we develop a new finite Benardete-like paradox. We then use this paradox to defend a companions in guilt argument that challenges recent applications of patchwork principles on behalf of the aforementioned finitist arguments. Finally, we develop another problem for those applications by (...)
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  2. Benardete Paradoxes, Causal Finitism, and the Unsatisfiable Pair Diagnosis.Joseph C. Schmid & Alex Malpass - forthcoming - Mind.
    We examine two competing solutions to Benardete paradoxes: causal finitism, according to which nothing can have infinitely many causes, and the unsatisfiable pair diagnosis (UPD), according to which such paradoxes are logically impossible and no metaphysical thesis need be adopted to avoid them. We argue that the UPD enjoys notable theoretical advantages over causal finitism. Causal finitists, however, have levelled two main objections to the UPD. First, they urge that the UPD requires positing a ‘mysterious force’ that prevents paradoxes from (...)
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  3. A Modal Condition for the Beginning of the Universe.Daniel Linford - 2024 - Erkenntnis 89 (6):2343-2375.
    This paper considers two problems—one in philosophy of religion and another in philosophy of physics—and shows that the two problems have one solution. Some Christian philosophers have endorsed the views that (i) there was a first finitely long period of time, (ii) God is in time, and yet (iii) God did not have a beginning. If there was a first finitely long period of time and God is in time then there was a first finitely long period of time in (...)
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  4. Benardete paradoxes, patchwork principles, and the infinite past.Joseph C. Schmid - 2024 - Synthese 203 (2):51.
    Benardete paradoxes involve a beginningless set each member of which satisfies some predicate just in case no earlier member satisfies it. Such paradoxes have been wielded on behalf of arguments for the impossibility of an infinite past. These arguments often deploy patchwork principles in support of their key linking premise. Here I argue that patchwork principles fail to justify this key premise.
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  5. The End is Near: Grim Reapers and Endless Futures.Joseph C. Schmid - 2024 - Mind 133 (532).
    José Benardete developed a famous paradox involving a beginningless set of items each member of which satisfies some predicate just in case no earlier member satisfies it. The Grim Reaper version of this paradox has recently been employed in favour of various finitist metaphysical theses, ranging from temporal finitism to causal finitism to the discrete nature of time. Here, I examine a new challenge to these finitist arguments—namely, the challenge of implying that the future cannot be endless. In particular, I (...)
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  6. (1 other version)Kalām and Cognition.Mahrad Almotahari - 2023 - In Mohammad Saleh Zarepour (ed.), Islamic philosophy of religion: analytic perspectives. New York: Routledge. pp. 41-63.
    An application of some recent work on the science of generic thought.
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  7. An inexplicably good argument for causal finitism.Ibrahim Dagher - 2023 - International Journal for Philosophy of Religion 94 (2):199-211.
    Causal finitism, the view that the causal history of any event must be finite, has garnered much philosophical interest recently—especially because of its applicability to the Kalām cosmological argument. The most prominent argument for causal finitism is the Grim Reaper argument, which attempts to show that, if infinite causal histories are possible, then other paradoxical states of affairs must also be possible. However, this style of argument has been criticized on the grounds of (i) relying on controversial modal principles, and (...)
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  8. Properties, Collections, and the Successive Addition Argument: A Reply to Malpass.Ibrahim Dagher - 2023 - Philosophia 51 (3):1-7.
    The Successive Addition Argument (SAA) is one of the key arguments espoused by William Lane Craig for the thesis that the universe began to exist. Recently, Malpass, Mind, 131(523), 786–804 (2021) has developed a challenge to the SAA by way of constructing a counterexample that originates in the work of Fred Dretske. In this paper, I show that the Malpass-Dretske counterexample is in fact no counterexample to the argument. Utilizing a distinction between properties of members and properties of collections, I (...)
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  9. Endless and Infinite: An Evaluation of Alex Malpass and Wes Morriston Argument.Atikur Rahman - 2023 - Historical: Journal of History and Social Sciences 2 (3):102-109.
    In a recent paper published in 2020, Alex Malpass & Wes Morriston discuss the difference between beginningless past and an endless future and try to show that beginningless series of past events and an endless series of future ones are in the same boat. So if (as they believe) an endless series of events is possible, then the possibility of a beginningless series of past events should not be rejected merely on the ground that it would be an actual infinite. (...)
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  10. Branching actualism and cosmological arguments.Joseph C. Schmid & Alex Malpass - 2023 - Philosophical Studies 180 (7):1951-1973.
    We draw out significant consequences of a relatively popular theory of metaphysical modality—branching actualism—for cosmological arguments for God’s existence. According to branching actualism, every possible world shares an initial history with the actual world and diverges only because causal powers (or dispositions, or some such) are differentially exercised. We argue that branching actualism undergirds successful responses to two recent cosmological arguments: the Grim Reaper Kalam argument and a modal argument from contingency. We also argue that branching actualism affords a response (...)
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  11. Kelam Kozmolojik Argüman ve Modern Bilim.Onur Kenan Aydoğdu & Enis Doko - 2022 - In Mehmet Bulgen & Enis Doko (eds.), Din ve Bilim Açısından Yaratılış. M.Ü.İlahiyat Fakültesi Vakfı. pp. 327-342.
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  12. Cosmic Skepticism and the Beginning of Physical Reality (Doctoral Dissertation).Linford Dan - 2022 - Dissertation, Purdue University
    This dissertation is concerned with two of the largest questions that we can ask about the nature of physical reality: first, whether physical reality begin to exist and, second, what criteria would physical reality have to fulfill in order to have had a beginning? Philosophers of religion and theologians have previously addressed whether physical reality began to exist in the context of defending the Kal{\'a}m Cosmological Argument (KCA) for theism, that is, (P1) everything that begins to exist has a cause (...)
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  13. ATHEISM AS AN EXTREME REJECTION OF RATIONAL EVIDENCE FOR THE EXISTENCE OF GOD.Carlo Alvaro - 2021 - Heythrop Journal 62 (2):1-16.
    Explicit atheism is a philosophical position according to which belief in God is irrational, and thus it should be rejected. In this paper, I revisit, extend, and defend against the most telling counter arguments the Kalām Cosmological Argument in order to show that explicit atheism must be deemed as a positively irrational position.
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  14. Are infinite explanations self-explanatory?Alexandre Billon - 2021 - Erkenntnis 88 (5):1935-1954.
    Consider an infinite series whose items are each explained by their immediate successor. Does such an infinite explanation explain the whole series or does it leave something to be explained? Hume arguably claimed that it does fully explain the whole series. Leibniz, however, designed a very telling objection against this claim, an objection involving an infinite series of book copies. In this paper, I argue that the Humean claim can, in certain cases, be saved from the Leibnizian “infinite book copies” (...)
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  15. Theodicy, Supreme Providence, and Semiclassical Theism.James Goetz - 2021 - Theology and Science 19 (1):42-64.
    Logical limits of omnipotence, the problem of evil, and a compelling cosmological argument suggest the position of supreme providence and the foremost creation out of nothing that coheres with the constraints of physics. The Supreme Being possesses everlasting love, perception, and force while governing the universe of probabilistic processes and freewill creatures. For example, the Supreme Being intervenes in the processes of creation by the means of synergism with freewill creatures and cannot meticulously control the created universe.
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  16. Neo-Lorentzian Relativity and the Beginning of the Universe.Daniel Linford - 2021 - European Journal for Philosophy of Science 11 (4):1-38.
    Many physicists have thought that absolute time became otiose with the introduction of Special Relativity. William Lane Craig disagrees. Craig argues that although relativity is empirically adequate within a domain of application, relativity is literally false and should be supplanted by a Neo-Lorentzian alternative that allows for absolute time. Meanwhile, Craig and co-author James Sinclair have argued that physical cosmology supports the conclusion that physical reality began to exist at a finite time in the past. However, on their view, the (...)
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  17. An Eternal Society Paradox.Wade A. Tisthammer - 2020 - Aporia 30 (1):49-58.
    An eternal society with the abilities of ordinary humans in each year of its existence would have had the ability to actualize a logical contradiction. This fact casts doubt on the metaphysical possibility of an infinite past. In addition to using this paradox in an argument against an infinite past, one can also use the paradox mutatis mutandis as a decisive argument against the sempiternality of God.
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  18. Causation and Sufficient Reason (Atheism).Felipe Leon - 2019 - In Graham Oppy & Joseph W. Koterski (eds.), Theism and Atheism: Opposing Viewpoints in Philosophy. Farmington Hills: MacMillan Reference.
    This chapter provides an overview and critical discussion of cosmological arguments for theism, with special focus on the Kalam argument and arguments from contingency.
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  19. (1 other version)Review of Paul Copan and William Lane Craig, eds., The Kalām Cosmological Argument (2 vols). [REVIEW]Graham Oppy - 2019 - Philosophia Christi 21 (2):445-449.
    This is a review of *The Kalām Cosmological Argument* (edited by Paul Copan and William Lane Craig). In this review, I focus primarily on the papers in the first volume by Waters, Loke, and Oderberg. (I have also written an independent review of the second volume.).
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  20. (1 other version)Review of P. Copan and Craig, W. (eds.) The Kalām Cosmological Argument Volume Two: Scientific Evidence for the Beginning of the Universe. [REVIEW]Graham Oppy - 2019 - European Journal for Philosophy of Religion 11 (3):225-229.
    This is a commissioned review of Copan, P. and Craig, W. The Kalām Cosmological Argument Volume Two: Scientific Evidence for the Beginning of the Universe New York: Bloomsbury, US$172.50, ISBN 978-1-50-133587-7.
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  21. The Kalām Cosmological Argument, the Big Bang, and Atheism.John J. Park - 2016 - Acta Analytica 31 (3):323-335.
    While there has been much work on cosmological arguments, novel objections will be presented against the modern day rendition of the Kalām cosmological argument as standardly articulated by William Lane Craig. The conclusion is reached that this cosmological argument and several of its variants do not lead us to believe that there is inevitably a supernatural cause to the universe. Moreover, a conditional argument for atheism will be presented in light of the Big Bang Theory.
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  22. Finitism, Divisibilty, and the Beginning of the Universe: Replies to Loke and Dumsday.Stephen Puryear - 2016 - Australasian Journal of Philosophy 94 (4):808-813.
    Some philosophers contend that the past must be finite in duration, because otherwise reaching the present would have involved the sequential occurrence of an actual infinity of events, which they regard as impossible. I recently developed a new objection to this finitist argument, to which Andrew Ter Ern Loke and Travis Dumsday have replied. Here I respond to the three main points raised in their replies.
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  23. Endless Future: A Persistent Thorn in the Kalām Cosmological Argument.Yishai Cohen - 2015 - Philosophical Papers 44 (2):165-187.
    Wes Morriston contends that William Lane Craig's argument for the impossibility of a beginningless past results in an equally good argument for the impossibility of an endless future. Craig disagrees. I show that Craig's reply reveals a commitment to an unmotivated position concerning the relationship between actuality and the actual infinite. I then assess alternative routes to the impossibility of a beginningless past that have been offered in the literature, and show that, contrary to initial appearances, these routes similarly seem (...)
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  24. Frédéric Guillaud, Dieu existe. Arguments philosophiques, Éditions du Cerf, Paris 2013 (« La nuit surveillée »), pp. 416. [REVIEW]Alejandro Pérez - 2015 - Acta Philosophica 24 (2):424-425.
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  25. Toward a new kalām cosmological argument.Benjamin Victor Waters - 2015 - Cogent Arts and Humanities 2 (1).
    William Lane Craig has revived interest in the medieval kalām argument to the point where it is now one of the most discussed arguments for God’s existence in the secondary literature. Still, the reception of Craig’s argument among philosophers of religion has been mostly critical. In the interest of developing an argument that more philosophers of religion would be inclined to support, I will lay the philosophical groundwork for a new kalām cosmological argument that, in contrast with Craig’s argument, does (...)
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  26. Finitism and the Beginning of the Universe.Stephen Puryear - 2014 - Australasian Journal of Philosophy 92 (4):619-629.
    Many philosophers have argued that the past must be finite in duration because otherwise reaching the present moment would have involved something impossible, namely, the sequential occurrence of an actual infinity of events. In reply, some philosophers have objected that there can be nothing amiss in such an occurrence, since actually infinite sequences are ‘traversed’ all the time in nature, for example, whenever an object moves from one location in space to another. This essay focuses on one of the two (...)
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  27. Methuselah’s Diary and the Finitude of the Past.Ben Waters - 2013 - Philosophia Christi 15 (2):463-69.
    William Lane Craig modified Bertrand Russell’s Tristram Shandy example in order to derive an absurdity that would demonstrate the finitude of the past. Although his initial attempt at such an argument faltered, further developments in the literature suggested that such an absurdity was indeed in the offing provided that a couple extra statements were also shown to be true. This article traces the development of a particular line of argument that arose from Craig’s Tristram Shandy example before advancing an argument (...)
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  28. Moreland on the Impossibility of Traversing the Infinite: A Critique.Felipe Leon - 2011 - Philo 14 (1):32-42.
    A key premise of the kalam cosmological argument is that the universe began to exist. However, while a number of philosophers have offered powerful criticisms of William Lane Craig’s defense of the premise, J.P. Moreland has also offered a number of unique arguments in support of it, and to date, little attention has been paid to these in the literature. In this paper, I attempt to go some way toward redressing this matter. In particular, I shall argue that Moreland’s philosophical (...)
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  29. God and Infinity: Directions for Future Research.Graham Oppy - 2011 - In Michał Heller & W. H. Woodin (eds.), Infinity: new research frontiers. New York: Cambridge University Press. pp. 233.
    This paper discusses the treatment of "infinity" in philosophy of religion, including its use in discussions of divine attributes, and its use in various arguments about the existence of God (including the kalam cosmological argument and Pascal's wager). The aim of the paper is to set out -- and where possible, to resolve -- various foundational problems about infinity.
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  30. Four conceptions of creatio ex nihilo and the compatibility questions.Pirooz Fatoorchi - 2010 - In David B. Burrell, Carlo Cogliati, Janet M. Soskice & William R. Stoeger (eds.), Creation and the God of Abraham. Cambridge University Press.
    The notion of creatio ex nihilo has become a doctrine firmly established in the three Abrahamic religions (i.e., Christianity, Judaism and Islam). Almost all groups of Islamic thinkers accept the truth of the createdness (creatio) of the universe, and that it is preceded by its “non-existence” (ex nihilo). However, there is a diversity of opinions as to whether the concept of creatio ex nihilo is compatible with alternative accounts of the origin of the physical world, and this diversity is particularly (...)
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  31. Craig’s Kalam Cosmology.Graham Oppy - 2009 - Philo 12 (2):200-216.
    Hypotheses about the shape of causal reality admit of both theistic and non-theistic interpretations. I argue that, on the simplest hypotheses about the causal shape of reality—infinite regress, contingent initial boundary, necessary initial boundary—there is good reason to suppose that non-theism is always either preferable to, or at least the equal of, theism, at least insofar as we restrict our attention merely to the domain of explanation of existence. Moreover, I suggest that it is perfectly proper for naturalists to be (...)
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  32. (1 other version)Cosmological arguments.Graham Oppy - 2009 - Noûs 43 (1):31-48.
    This paper provides a taxonomy of cosmological arguments and givesgeneral reasons for thinking that arguments that belong to a given category do not succeed.
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  33. The form of the Benardete dichotomy.Nicholas Shackel - 2005 - British Journal for the Philosophy of Science 56 (2):397-417.
    Benardete presents a version of Zeno's dichotomy in which an infinite sequence of gods each intends to raise a barrier iff a traveller reaches the position where they intend to raise their barrier. In this paper, I demonstrate the abstract form of the Benardete Dichotomy. I show that the diagnosis based on that form can do philosophical work not done by earlier papers rejecting Priest's version of the Benardete Dichotomy, and that the diagnosis extends to a paradox not normally classified (...)
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  34. From the Tristram Shandy Paradox to the Christmas Shandy Paradox: Reply to Oderberg.Graham Oppy - 2003 - Ars Disputandi 3:172-195.
    This paper is a response to David Oderberg's criticisms of a previous paper of mine. (Bibliographical details are provided in the article.).
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  35. The Kalam Cosmological Argument.Arnold T. Guminski - 2002 - Philo 5 (2):196-215.
    This paper examines the Kalam Cosmological Argument, as expounded by,William Lane Craig, insofar as it pertains to the premise that it is metaphysically impossible for an infinite set of real entities to exist. Craig contends that this premise is justified because the application of the Cantorian theory to the real world generates counterintuitive absurdities. This paper shows that Craig’s contention fails because it is possible to apply Cantorian theory to the real world without thereby generating counterintuitive absurdities, provided one avoids (...)
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  36. The Tristram Shandy Paradox.Graham Oppy - 2002 - Philosophia Christi 4 (2):335-349.
    This paper is a response to David Oderberg's discussion of the Tristram Shandy paradox. I defend the claim that the Tristram Shandy paradox does not support the claim that it is impossible that the past is infinite.
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  37. Arguing About The Kalam Cosmological Argument.Graham Oppy - 2002 - Philo 5 (1):34-61.
    This paper begins with a fairly careful and detailed discussion of the conditions under which someone who presents an argument ought to be prepared to concede that the argument is unsuccessful. The conclusions reached in this discussion are then applied to William Lane Craig’s defense of what he calls “the kalam cosmological argument.” Perhaps unsurprisingly, the chief contention of the paper is that Craig ought to be prepared to concede that “the kalam cosmological argument” is not a successful argument. The (...)
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  38. More Than a Flesh Wound.Graham Oppy - 2002 - Ars Disputandi 2:214-224.
    In ‘The Kalam Cosmological Argument Neither Bloodied nor Bowed’ , David Oderberg provides four main criticisms of the line of argument which I developed in ‘Time, Successive Addition, and Kalam Cosmological Arguments’ . I argue here that none of these lines of criticism succeeds. Further I re-emphasise the point that those who maintain that the temporal series of past events is formed by ‘successive addition’ are indeed thereby committed to a highly contentious strict finitist metaphysics.
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  39. Time, Successive Addition, and Kalam Cosmological Arguments.Graham Oppy - 2001 - Philosophia Christi 3 (1):181-192.
    Craig (1981) presents and defends several different kalam cosmological arguments. The core of each of these arguments is the following ur argument.
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  40. The Kalam Cosmological Argument and the Possibility of an Actually Infinite Future.Eric Sotnak - 1999 - Philo 2 (2):41-52.
    Part of the kalam cosmological argument draws upon the claim that an actual infinite cannot exist. Classical theists also maintain both that some individuals will earn eternal life and that God infallibly foreknows the future. The claim that these latter two theses do not require that an actual infinite exists because God possesses an intuitive, rather than propositional intellect, is examined and rejected. Although the future is potential, rather than actual, classical theism requires that the future be, in a sense, (...)
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  41. Theism, Atheism, and Big Bang Cosmology. [REVIEW]Graham Oppy - 1996 - Faith and Philosophy 13 (1):125-133.
    This paper is a critical review of *Big Bang Cosmology* by Quentin Smith and William Lane Craig. (The book is a collection of previously published papers; most are concerned, in one way or another, with kalam cosmological arguments for the existence of God.).
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  42. Professor William Craig’s Criticisms of Critiques of Kalam Cosmological Arguments By Paul Davies, Stephen Hawking, and Adolf Grunbaum.Graham Oppy - 1995 - Faith and Philosophy 12 (2):237-250.
    Kalam cosmological arguments have recently been the subject of criticisms, at least inter alia, by physicists---Paul Davies, Stephen Hawking---and philosophers of science---Adolf Grunbaum. In a series of recent articles, William Craig has attempted to show that these criticisms are “superficial, iII-conceived, and based on misunderstanding.” I argue that, while some of the discussion of Davies and Hawking is not philosophically sophisticated, the points raised by Davies, Hawking and Grunbaum do suffice to undermine the dialectical efficacy of kalam cosmological arguments.
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  43. Inverse Operations with Transfinite Numbers and the Kalam Cosmological Argument.Graham Oppy - 1995 - International Philosophical Quarterly 35 (2):219-221.
    William Lane Craig has argued that there cannot be actual infinities because inverse operations are not well-defined for infinities. I point out that, in fact, there are mathematical systems in which inverse operations for infinities are well-defined. In particular, the theory introduced in John Conway's *On Numbers and Games* yields a well-defined field that includes all of Cantor's transfinite numbers.
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  44. (1 other version)Reply to professor Craig.Graham Oppy - 1995 - Sophia 34 (2):15-29.
    I hold that the considerations adduced in kalam cosmological arguments do not embody reasons for reflective atheists and agnostics to embrace the conclusion of those arguments, viz. that the universe had a cause of its existence. I do not claim to be able to show that reflective theists could not reasonably believe that those arguments are sound; indeed, I am prepared to concede that it is epistemically possible that the arguments procede validly from true premises. However, I am prepared to (...)
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  45. (1 other version)Kalām cosmological arguments: Reply to professor Craig.Graham Oppy - 1995 - Sophia 34 (2):15-29.
    This paper is a reply to Professor William Lane Craig's “Graham Oppy On The kalām Cosmological Argument” Sophia 32.1, 1993, pp. 1–11. Further references to the literature are contained therein.
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  46. Craig, Mackie, and the Kalam Cosmological Argument.Graham Oppy - 1991 - Religious Studies 27 (2):189 - 197.
    In ‘Professor Mackie and the Kalam Cosmological Argument’ , 367–75), Professor William Lane Craig undertakes to demonstrate that J. L. Mackie's analysis of the kalam cosmological argument in The Miracle of Theism is ‘superficial’, and that Mackie ‘has failed to provide any compelling or even intuitively appealing objection against the argument’ . I disagree with Craig's judgement; for it seems to me that the considerations which Mackie advances do serve to refute the kalam cosmological argument. Consequently, the purpose of this (...)
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  47. Physicalism and Big Bang Cosmology.Olof Nebrin - manuscript
    I will discuss the relationship between physicalism and classical Big Bang Cosmology, and argue that the physicalist must hold to the notion that the Universe came into being out of literal nonbeing with no cause, if this person is to hold to classical Big Bang Cosmology. If my argument is sound, then it entails that a physicalist must do this in order to be consistent with Big Bang cosmology, or either give up physicalism. Theism, on the other hand, does not (...)
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