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Is the Number of Prior Causes and Durations Infinite? An Assessment of the Current Literature

  • Andrew Ter Ern LokeEmail author
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Part of the Palgrave Frontiers in Philosophy of Religion book series (PFPR)

Abstract

The question of ultimate origins is related to whether an actual infinite temporal regress is possible. I assess the contemporary scientific literature and show that there is no adequate evidence for any of the cosmological models which propose an infinite temporal regress. I note that Craig has offered two philosophical arguments against an infinite temporal regress (the argument for the impossibility of traversing an actual infinite and the argument for the impossibility of concrete actual infinities), and that critics have raised various objections. I do not think these objections are unanswerable, and I summarise my replies to them. Nevertheless, there is a novel way to demonstrate that there is a First Cause of time without requiring these arguments, which I explain in the next chapter.

Keywords

Actual Infinite Infinite Temporal Regress William Lane Morriston FLRW Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Ali, Ahmed Farag, and Saurya Das. 2015. Cosmology from Quantum Potential. Physics Letters B 741: 276–279.CrossRefGoogle Scholar
  2. Barr, Stephen. 2012. Modern Cosmology and Christian Theology. In The Blackwell Companion to Science and Christianity, ed. Alan G. Padgett and J.B. Stump. Chichester: Wiley-Blackwell.CrossRefGoogle Scholar
  3. Baum, L., and P.H. Frampton. 2007. Turnaround in Cyclic Cosmology. Physical Review Letters 98: 071301, preprint: http://arxiv.org/abs/hep-th/0610213.
  4. Bersanelli, Marco. 2011. Infinity and the Nostalgia of the Stars. In Infinity: New Research Frontiers, ed. Michael Heller and Hugh Wood. Cambridge: Cambridge University Press.Google Scholar
  5. Bojowald, M., G. Date, and G.M. Hossain. 2004. The Bianchi IX Model in Loop Quantum Cosmology. Classical and Quantum Gravity 21: 3541, preprint: http://arxiv.org/abs/gr-qc/0404039.CrossRefGoogle Scholar
  6. Browne, Malcolm. 1978. Clues to the Universe’s Origin Expected. New York Times, March 12, p. 1, col. 54.Google Scholar
  7. Bussey, Peter. 2013. God as First Cause—A Review of the Kalam Argument. Science & Christian Belief 25: 17–35.Google Scholar
  8. Cantor, George. 1915. Contributions to the Founding of the Theory of Transfinite Numbers. Trans. and Intro. P.E.B. Jourdain. New York: Dover.Google Scholar
  9. Carroll, Sean, and William Lane Craig. 2014. God and Cosmology: The Existence of God in Light of Contemporary Cosmology. Debate transcript. http://www.reasonablefaith.org/god-and-cosmology-the-existence-of-god-in-light-of-contemporary-cosmology#ixzz4WGdvjBqt. Accessed 20 Jan 2017.
  10. Craig, William Lane. 1994. Creation and Big Bang Cosmology. Philosophia Naturalis 31: 217–224.Google Scholar
  11. Craig, William Lane. 2000a. The Tensed Theory of Time: A Critical Examination, Synthese Library, vol. 293. Dordrecht: Kluwer Academic.Google Scholar
  12. Craig, William Lane. 2000b. The Tenseless Theory of Time: A Critical Examination, Synthese Library, vol. 294. Dordrecht: Kluwer Academic.Google Scholar
  13. Craig, William Lane. 2008. Review of Philosophical Perspectives on Infinity, by Graham Oppy. Philosophia Christi 10: 201–208.Google Scholar
  14. Craig, William Lane. 2009. Q&A #106: Is God Actually Infinite? Available at http://www.reasonablefaith.org/is-god-actually-infinite. Accessed 4 July 2013.
  15. Craig, William Lane. 2011. Graham Oppy on the Kalam Cosmological Argument. International Philosophical Quarterly 51: 303–330.CrossRefGoogle Scholar
  16. Craig, William Lane. 2013. The Kalam Argument. In Debating Christian Theism, ed. J.P. Moreland, Chad V. Meister, and Khaldoun A. Sweis. Oxford: Oxford University Press.Google Scholar
  17. Craig, William Lane, and James Sinclair. 2009. The Kalam Cosmological Argument. In The Blackwell Companion to Natural Theology, ed. William Lane Craig and J.P. Moreland. Chichester: Wiley-Blackwell.CrossRefGoogle Scholar
  18. Craig, William Lane, and James Sinclair. 2012. On Non-Singular Space-Times and the Beginning of the Universe. In Scientific Approaches to the Philosophy of Religion, ed. Yujin Nagasawa. New York: Palgrave Macmillan.Google Scholar
  19. Dedekind, Richard. 1963. The Nature and Meaning of Numbers. In Essays on the Theory of Numbers, ed. Richard Dedekind, trans. W.W. Beman, 29–115. New York: Dover.Google Scholar
  20. East, James. 2013. Infinity Minus Infinity. Faith and Philosophy 30: 429–433.CrossRefGoogle Scholar
  21. Ellis, George. 2007. Issues in the Philosophy of Cosmology. In Philosophy of Physics, ed. J. Butterfield and J. Earman. Amsterdam: Elsevier.CrossRefGoogle Scholar
  22. Ellis, George, U. Kirchner, and W.R. Stoeger. 2004. Multiverses and Physical Cosmology. Monthly Notices of the Royal Astronomical Society 347: 921–936. http://arXiv.org/abs/astro-ph/0305292. Accessed 11 July 2008.CrossRefGoogle Scholar
  23. Ellis, George, and R. Maartens. 2004. The Emergent Universe: Inflationary Cosmology with No Singularity. Classical and Quantum Gravity 21: 223, preprint: http://arxiv.org/abs/gr-qc/0211082.CrossRefGoogle Scholar
  24. Feferman, Solomon. 1998. In the Light of Logic. Oxford: Oxford University Press.Google Scholar
  25. Fine, K. 1994. Essence and Modality. Philosophical Perspectives 8: 1–16.CrossRefGoogle Scholar
  26. Ford, Kenneth. 2011. 101 Quantum Questions: What You Need to Know About the World You Can’t See. Cambridge, MA: Harvard University Press.CrossRefGoogle Scholar
  27. Gambini, Rodolfo, and Jorge Pullin. 2013. Loop Quantization of the Schwarzschild Black Hole. Physical Review Letters 110: 211301.CrossRefGoogle Scholar
  28. Gendler, Tamar, and John Hawthorne (eds.). 2002. Conceivability and Possibility. Oxford: Oxford University Press.Google Scholar
  29. Gilmore, Cody. 2014. Location and Mereology. In The Stanford Encyclopedia of Philosophy (Fall 2014 Edition), ed. Edward N. Zalta. http://plato.stanford.edu/archives/fall2014/entries/location-mereology/.
  30. Grünbaum, Adolf. 1989. The Pseudo-Problem of Creation in Physical Cosmology. Philosophy of Science 56: 373–394.CrossRefGoogle Scholar
  31. Grünbaum, Adolf. 1991. Creation as a Pseudo-Explanation in Current Physical Cosmology. Erkenntnis 35: 233–254.Google Scholar
  32. Grünbaum, Adolf. 1994. Some Comments on William Craig’s ‘Creation and Big Bang Cosmology’. Philosophia Naturalis 31: 225–236.Google Scholar
  33. Guminski, Arnold. 2002. The Kalam Cosmological Argument: The Question of the Metaphysical Possibility of an Infinite Set of Real Entities. Philo 5: 196–215. http://www.infidels.org/library/modern/arnold_guminski/kalam.html.CrossRefGoogle Scholar
  34. Halvorsen, Hans and Helge Kragh. 2011. Cosmology and Theology. In The Stanford Encyclopedia of Philosophy, ed. Edward N. Zalta, Winter 2011 edition. http://plato.stanford.edu/archives/win2011/entries/cosmology-theology/.
  35. Hedrick, Landon. 2014. Heartbreak at Hilbert’s Hotel. Religious Studies 50: 27–46.CrossRefGoogle Scholar
  36. Hilbert, David. 1964. On the Infinite. In Philosophy of Mathematics, ed. P. Benacerraf and H. Putnam. Englewood Cliffs, NJ: Prentice-Hall.Google Scholar
  37. Huemer, Michael. 2014. Virtue and Vice Among the Infinite. In Ad Infinitum, ed. John Turri and Peter Klein. Oxford: Oxford University Press.Google Scholar
  38. Jastrow, Robert. 2000. God and the Astronomers, 2nd ed. New York: W.W. Norton.Google Scholar
  39. Koons, Robert. 2014. A New Kalam Argument: Revenge of the Grim Reaper. Noûs 48: 256–267.CrossRefGoogle Scholar
  40. Krauss, Lawrence, and William Lane Craig. 2013. Life, the Universe, and Nothing (III): Is it Reasonable to Believe There is a God? http://www.reasonablefaith.org/life-the-universe-and-nothing-is-it-reasonable-to-believe-there-is-a-go#ixzz4WHegKUWq. Accessed 20 Jan 2017.
  41. Laraudogoitia, Jon Pérez. 2013. Supertasks. In The Stanford Encyclopedia of Philosophy (Fall 2013 Edition), ed. Edward N. Zalta. http://plato.stanford.edu/archives/fall2013/entries/spacetime-supertasks/.
  42. Le Poidevin, Robin. 2003. Travels in Four Dimensions: The Enigmas of Space and Time. Oxford: Oxford University Press.Google Scholar
  43. Linde, Andrei. 1994. The Self-Reproducing Inflationary Universe. Scientific American 271: 48–55.CrossRefGoogle Scholar
  44. Loke, Andrew. 2012. Is an Infinite Temporal Regress of Events Possible? Think 11: 105–122.CrossRefGoogle Scholar
  45. Loke, Andrew. 2014a. A Modified Philosophical Argument for a Beginning of the Universe. Think 13: 71–83.CrossRefGoogle Scholar
  46. Loke, Andrew. 2014b. No Heartbreak at Hilbert’s Hotel: A Reply to Landon Hedrick. Religious Studies 50: 47–50.CrossRefGoogle Scholar
  47. Loke, Andrew. 2016a. On Finitism and the Beginning of the Universe: A Reply to Stephen Puryear. Australasian Journal of Philosophy 94: 591–595.CrossRefGoogle Scholar
  48. Loke, Andrew. 2016b. On Beginningless Past, Endless Future, God, and Singing Angels: An Assessment of the Morriston-Craig Dialogue. Neue Zeitschrift für Systematische Theologie und Religionsphilosophie 58: 57–66. doi: 10.1515/nzsth-2016-0004.CrossRefGoogle Scholar
  49. Loke, Andrew. 2016c. On the Infinite God Objection: A Reply to Jacobus Erasmus and Anné Hendrik Verhoef. Sophia 55: 263–272. doi: 10.1007/s11841-016-0539-8.CrossRefGoogle Scholar
  50. Loke, Andrew. 2017. A Reply to Peter Lyth on Whether an Infinite Temporal Regress of Events is Possible. Think 16: 77–81.CrossRefGoogle Scholar
  51. Lyth, Peter. 2014. A Response to Loke’s ‘is an infinite temporal regress of events possible?’. Think 13: 85–88.CrossRefGoogle Scholar
  52. Maddy, Penelope. 1997. Naturalism in Mathematics. Oxford: Clarendon Press.Google Scholar
  53. Monton, Bradley. 2010. Design Inferences in an Infinite Universe. In Oxford Studies in Philosophy of Religion, vol. II. Oxford: Oxford University Press.Google Scholar
  54. Moore, A.W. 2001. The Infinite. London: Routledge.Google Scholar
  55. Moreland, J.P. 2003. A Response to a Platonistic and to a Set-Theoretic Objection to the Kalām Cosmological Argument. Religious Studies 39: 379.CrossRefGoogle Scholar
  56. Moreland, J.P., and William Lane Craig. 2003. Philosophical Foundations for a Christian Worldview. Downers Grove: InterVarsity Press.Google Scholar
  57. Morriston, Wes. 2002. Craig on the Actual Infinite. Religious Studies 38: 147–166.CrossRefGoogle Scholar
  58. Morriston, Wes. 2003. Must Metaphysical Time Have a Beginning? Faith and Philosophy 20: 296–301.CrossRefGoogle Scholar
  59. Morriston, Wes. 2013. Doubts About the Kalam Argument. In Debating Christian Theism, ed. J.P. Moreland, Chad V. Meister, and Khaldoun A. Sweis. Oxford: Oxford University Press.Google Scholar
  60. Nowacki, Mark. 2007. The Kalam Cosmological Argument for God. Amherst, NY: Prometheus Books.Google Scholar
  61. Oppy, Graham. 2006. Philosophical Perspectives on Infinity. New York: Cambridge University Press.CrossRefGoogle Scholar
  62. Philipse, Herman. 2012. God in the Age of Science? A Critique of Religious Reason. Oxford: Oxford University Press.CrossRefGoogle Scholar
  63. Pitts, Brian. 2008. Why the Big Bang Singularity Does Not Help the Kalām Cosmological Argument for Theism. The British Journal for the Philosophy of Science 59: 675–708.CrossRefGoogle Scholar
  64. Poplawski, N.J. 2010. Radial Motion into an Einstein–Rosen Bridge. Physics Letters B 687: 110–113.CrossRefGoogle Scholar
  65. Puryear, Stephen. 2014. Finitism and the Beginning of the Universe. Australasian Journal of Philosophy 92: 619–629.CrossRefGoogle Scholar
  66. Puryear, Stephen. 2016. Finitism, Divisibilty, and the Beginning of the Universe: Replies to Loke and Dumsday. Australasian Journal of Philosophy 94: 808–813. doi: 10.1080/00048402.2016.1194443.CrossRefGoogle Scholar
  67. Reichenbach, Bruce. 2016. Cosmological Argument. In The Stanford Encyclopedia of Philosophy, ed. Edward N. Zalta, Winter 2016 edition. https://plato.stanford.edu/archives/win2016/entries/cosmological-argument/.
  68. Russell, Bertrand. 1969. History of Western Philosophy and Its Connection with Political and Social Circumstances from the Earliest Times to the Present Day. London: Allen and Unwin.Google Scholar
  69. Sorabji, R. 1983. Time, Creation and the Continuum. Ithaca, NY: Cornell University Press.Google Scholar
  70. Smith, Quentin, and Nathan Oaklander. 1995. Time, Change and Freedom: An Introduction to Metaphysics. London: Routledge.Google Scholar
  71. Sobel, Jordan. 2004. Logic and Theism: Arguments for and Against Beliefs in God. Cambridge: Cambridge University Press.Google Scholar
  72. Steinhardt, P., and N. Turok. 2005. The Cyclic Model Simplified. New Astronomy Reviews 49: 43–57, preprint: http://arxiv.org/abs/astro-ph/0404480.CrossRefGoogle Scholar
  73. Stoeger, William. 2010. God, Physics and the Big Bang. In The Cambridge Companion to Science and Religion, ed. Peter Harrison. Cambridge: Cambridge University Press.Google Scholar
  74. Swinburne, Richard. 2004. The Existence of God, 2nd ed. Oxford: Clarendon.CrossRefGoogle Scholar
  75. Van Bendegem, Jean Paul. 2011. The Possibility of Discrete Time. In The Oxford Handbook of Philosophy of Time, ed. Craig Callender. Oxford: Oxford University Press.Google Scholar
  76. Veneziano, G., and M. Gasperini. 2003. The Pre Big Bang Scenario in String Cosmology. Physics Reports 373: 1–212.CrossRefGoogle Scholar
  77. Vilenkin, Alexander. 1982. Creation of Universes from Nothing. Physics Letters B117: 25.CrossRefGoogle Scholar
  78. Wall, Aron. 2014a. Did the Universe Begin? IV: Quantum Eternity Theorem. http://www.wall.org/~aron/blog/did-the-universe-begin-iv-quantum-eternity-theorem/. Accessed 20 Jan 2017.
  79. Wall, Aron. 2014b. Did the Universe Begin? X: Recapitulation. http://www.wall.org/~aron/blog/did-the-universe-begin-x-recap/. Accessed 20 Jan 2017.
  80. Waters, Ben. 2013. Methuselah’s Diary and the Finitude of the Past. Philosophia Christi 15: 463–469.Google Scholar
  81. Weinberg, Steven. 1977. The First Three Minutes: A Modern View of the Origin of the Universe. London: Trinity Press.Google Scholar
  82. Wolchover, Natalie. 2013. To Settle Infinity Dispute, a New Law of Logic. https://www.simonsfoundation.org/quanta/20131126-to-settle-infinity-question-a-new-law-of-logic/. Accessed 20 Jan 2017.
  83. Wu, Y.L. 2003. Symmetry Principle Preserving and Infinity Free Regularization and Renormalization of Quantum Field Theories and the Mass Gap. International Journal of Modern Physics A 18: 5363–5420 [arXiv:hep-th/0209021].CrossRefGoogle Scholar

Copyright information

© The Author(s) 2017

Authors and Affiliations

  1. 1.University of Hong KongHong KongHong Kong

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