Skip to main content

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

  • Chapter
  • First Online:
God and Ultimate Origins

Part of the book series: Palgrave Frontiers in Philosophy of Religion ((PFPR))

  • 683 Accesses

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.

The original version of this chapter was revised: A missing paragraph has been included. The erratum to this chapter is available at https://doi.org/10.1007/978-3-319-57547-6_8

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

References

  • Ali, Ahmed Farag, and Saurya Das. 2015. Cosmology from Quantum Potential. Physics Letters B 741: 276–279.

    Article  Google Scholar 

  • 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.

    Chapter  Google Scholar 

  • Baum, L., and P.H. Frampton. 2007. Turnaround in Cyclic Cosmology. Physical Review Letters 98: 071301, preprint: http://arxiv.org/abs/hep-th/0610213.

  • 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 

  • 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.

    Article  Google Scholar 

  • Browne, Malcolm. 1978. Clues to the Universe’s Origin Expected. New York Times, March 12, p. 1, col. 54.

    Google Scholar 

  • Bussey, Peter. 2013. God as First Cause—A Review of the Kalam Argument. Science & Christian Belief 25: 17–35.

    Google Scholar 

  • 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 

  • 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.

  • Craig, William Lane. 1994. Creation and Big Bang Cosmology. Philosophia Naturalis 31: 217–224.

    Google Scholar 

  • Craig, William Lane. 2000a. The Tensed Theory of Time: A Critical Examination, Synthese Library, vol. 293. Dordrecht: Kluwer Academic.

    Google Scholar 

  • Craig, William Lane. 2000b. The Tenseless Theory of Time: A Critical Examination, Synthese Library, vol. 294. Dordrecht: Kluwer Academic.

    Google Scholar 

  • Craig, William Lane. 2008. Review of Philosophical Perspectives on Infinity, by Graham Oppy. Philosophia Christi 10: 201–208.

    Google Scholar 

  • 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.

  • Craig, William Lane. 2011. Graham Oppy on the Kalam Cosmological Argument. International Philosophical Quarterly 51: 303–330.

    Article  Google Scholar 

  • 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 

  • 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.

    Chapter  Google Scholar 

  • 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 

  • 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 

  • East, James. 2013. Infinity Minus Infinity. Faith and Philosophy 30: 429–433.

    Article  Google Scholar 

  • Ellis, George. 2007. Issues in the Philosophy of Cosmology. In Philosophy of Physics, ed. J. Butterfield and J. Earman. Amsterdam: Elsevier.

    Chapter  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Feferman, Solomon. 1998. In the Light of Logic. Oxford: Oxford University Press.

    Google Scholar 

  • Fine, K. 1994. Essence and Modality. Philosophical Perspectives 8: 1–16.

    Article  Google Scholar 

  • Ford, Kenneth. 2011. 101 Quantum Questions: What You Need to Know About the World You Can’t See. Cambridge, MA: Harvard University Press.

    Book  Google Scholar 

  • Gambini, Rodolfo, and Jorge Pullin. 2013. Loop Quantization of the Schwarzschild Black Hole. Physical Review Letters 110: 211301.

    Article  Google Scholar 

  • Gendler, Tamar, and John Hawthorne (eds.). 2002. Conceivability and Possibility. Oxford: Oxford University Press.

    Google Scholar 

  • 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/.

  • Grünbaum, Adolf. 1989. The Pseudo-Problem of Creation in Physical Cosmology. Philosophy of Science 56: 373–394.

    Article  Google Scholar 

  • Grünbaum, Adolf. 1991. Creation as a Pseudo-Explanation in Current Physical Cosmology. Erkenntnis 35: 233–254.

    Google Scholar 

  • Grünbaum, Adolf. 1994. Some Comments on William Craig’s ‘Creation and Big Bang Cosmology’. Philosophia Naturalis 31: 225–236.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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/.

  • Hedrick, Landon. 2014. Heartbreak at Hilbert’s Hotel. Religious Studies 50: 27–46.

    Article  Google Scholar 

  • Hilbert, David. 1964. On the Infinite. In Philosophy of Mathematics, ed. P. Benacerraf and H. Putnam. Englewood Cliffs, NJ: Prentice-Hall.

    Google Scholar 

  • Huemer, Michael. 2014. Virtue and Vice Among the Infinite. In Ad Infinitum, ed. John Turri and Peter Klein. Oxford: Oxford University Press.

    Google Scholar 

  • Jastrow, Robert. 2000. God and the Astronomers, 2nd ed. New York: W.W. Norton.

    Google Scholar 

  • Koons, Robert. 2014. A New Kalam Argument: Revenge of the Grim Reaper. Noûs 48: 256–267.

    Article  Google Scholar 

  • 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.

  • 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/.

  • Le Poidevin, Robin. 2003. Travels in Four Dimensions: The Enigmas of Space and Time. Oxford: Oxford University Press.

    Google Scholar 

  • Linde, Andrei. 1994. The Self-Reproducing Inflationary Universe. Scientific American 271: 48–55.

    Article  Google Scholar 

  • Loke, Andrew. 2012. Is an Infinite Temporal Regress of Events Possible? Think 11: 105–122.

    Article  Google Scholar 

  • Loke, Andrew. 2014a. A Modified Philosophical Argument for a Beginning of the Universe. Think 13: 71–83.

    Article  Google Scholar 

  • Loke, Andrew. 2014b. No Heartbreak at Hilbert’s Hotel: A Reply to Landon Hedrick. Religious Studies 50: 47–50.

    Article  Google Scholar 

  • Loke, Andrew. 2016a. On Finitism and the Beginning of the Universe: A Reply to Stephen Puryear. Australasian Journal of Philosophy 94: 591–595.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Loke, Andrew. 2017. A Reply to Peter Lyth on Whether an Infinite Temporal Regress of Events is Possible. Think 16: 77–81.

    Article  Google Scholar 

  • Lyth, Peter. 2014. A Response to Loke’s ‘is an infinite temporal regress of events possible?’. Think 13: 85–88.

    Article  Google Scholar 

  • Maddy, Penelope. 1997. Naturalism in Mathematics. Oxford: Clarendon Press.

    Google Scholar 

  • Monton, Bradley. 2010. Design Inferences in an Infinite Universe. In Oxford Studies in Philosophy of Religion, vol. II. Oxford: Oxford University Press.

    Google Scholar 

  • Moore, A.W. 2001. The Infinite. London: Routledge.

    Google Scholar 

  • Moreland, J.P. 2003. A Response to a Platonistic and to a Set-Theoretic Objection to the Kalām Cosmological Argument. Religious Studies 39: 379.

    Article  Google Scholar 

  • Moreland, J.P., and William Lane Craig. 2003. Philosophical Foundations for a Christian Worldview. Downers Grove: InterVarsity Press.

    Google Scholar 

  • Morriston, Wes. 2002. Craig on the Actual Infinite. Religious Studies 38: 147–166.

    Article  Google Scholar 

  • Morriston, Wes. 2003. Must Metaphysical Time Have a Beginning? Faith and Philosophy 20: 296–301.

    Article  Google Scholar 

  • 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 

  • Nowacki, Mark. 2007. The Kalam Cosmological Argument for God. Amherst, NY: Prometheus Books.

    Google Scholar 

  • Oppy, Graham. 2006. Philosophical Perspectives on Infinity. New York: Cambridge University Press.

    Book  Google Scholar 

  • Philipse, Herman. 2012. God in the Age of Science? A Critique of Religious Reason. Oxford: Oxford University Press.

    Book  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Poplawski, N.J. 2010. Radial Motion into an Einstein–Rosen Bridge. Physics Letters B 687: 110–113.

    Article  Google Scholar 

  • Puryear, Stephen. 2014. Finitism and the Beginning of the Universe. Australasian Journal of Philosophy 92: 619–629.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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/.

  • 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 

  • Sorabji, R. 1983. Time, Creation and the Continuum. Ithaca, NY: Cornell University Press.

    Google Scholar 

  • Smith, Quentin, and Nathan Oaklander. 1995. Time, Change and Freedom: An Introduction to Metaphysics. London: Routledge.

    Google Scholar 

  • Sobel, Jordan. 2004. Logic and Theism: Arguments for and Against Beliefs in God. Cambridge: Cambridge University Press.

    Google Scholar 

  • Steinhardt, P., and N. Turok. 2005. The Cyclic Model Simplified. New Astronomy Reviews 49: 43–57, preprint: http://arxiv.org/abs/astro-ph/0404480.

    Article  Google Scholar 

  • 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 

  • Swinburne, Richard. 2004. The Existence of God, 2nd ed. Oxford: Clarendon.

    Book  Google Scholar 

  • 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 

  • Veneziano, G., and M. Gasperini. 2003. The Pre Big Bang Scenario in String Cosmology. Physics Reports 373: 1–212.

    Article  Google Scholar 

  • Vilenkin, Alexander. 1982. Creation of Universes from Nothing. Physics Letters B117: 25.

    Article  Google Scholar 

  • 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.

  • 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.

  • Waters, Ben. 2013. Methuselah’s Diary and the Finitude of the Past. Philosophia Christi 15: 463–469.

    Google Scholar 

  • Weinberg, Steven. 1977. The First Three Minutes: A Modern View of the Origin of the Universe. London: Trinity Press.

    Google Scholar 

  • 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.

  • 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].

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Andrew Ter Ern Loke .

Rights and permissions

Reprints and permissions

Copyright information

© 2017 The Author(s)

About this chapter

Cite this chapter

Loke, A.T.E. (2017). Is the Number of Prior Causes and Durations Infinite? An Assessment of the Current Literature. In: God and Ultimate Origins. Palgrave Frontiers in Philosophy of Religion. Palgrave Macmillan, Cham. https://doi.org/10.1007/978-3-319-57547-6_2

Download citation

Publish with us

Policies and ethics