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On Finitude, Topology, and Arbitrariness

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Abstract

The present chapter aims to address Rasmussen’s reasonable concerns regarding the possibility of a foundation that is at least partly material. Those concerns center around three main issues: (i) whether a partly material foundation is compatible with the grounds for a finite past, (ii) whether a partly material foundation is compatible with the grounds for it having a non-geometrical nature, and (iii) whether a partly material foundation is compatible with the grounds against arbitrary limits. I offer reasons for an affirmative answer on all three counts. The chapter, therefore, aims to incorporate Rasmussen’s important insights into a plausible theory of foundational reality that is friendly to both theism and naturalism.

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Notes

  1. 1.

    See, for example, Oppy (2014) and Draper and Schellenberg (2017).

  2. 2.

    For a recent sampling, see, e.g., Buckareff and Alter (2016).

  3. 3.

    It also seems epistemically possible that the finite, temporal portion of the universe in our scenario above is a necessary consequence of the timeless portion of the universe, in which case it would be a necessary dependent being, as defined in Chapter 3.

  4. 4.

    Consider any arbitrary carving up of the stretch of time of a given object’s existence into equal intervals of finite, nonzero duration, and ordered according to the “earlier than” relation. As I’m using the expression, an object has a temporal beginning of its existence just in case any such carving up includes an earliest temporal interval.

  5. 5.

    I’ve addressed these issues in much more detail in Leon (2019).

  6. 6.

    For a recent exposition and defense of both a priori and scientific arguments for a finite past , see Craig and Sinclair (2009). For a systematic critique of both, see, e.g., Leon (2019).

  7. 7.

    For a recent exposition and defense of both a priori and scientific arguments for a finite past, see Craig and Sinclair (2009). For representative criticisms, see, e.g., Morriston (1999, 2002a, b, 2003, 2010, 2013), Oppy (2006), Craig and Smith (1993), Draper (2008), and Leon (2019).

  8. 8.

    Cf. Morriston (2002a) and Draper (2008). For related worries regarding the Hilbert’s Hotel argument, see Morriston (2003) and Oppy (2006).

  9. 9.

    Craig and Sinclair (2009, 121–122).

  10. 10.

    Craig (1985).

  11. 11.

    This counterexample is Tony Roy’s (personal communication).

  12. 12.

    For related criticism, see Morriston (1999, 2002b). For other criticisms of this argument and other arguments against the possibility of traversing actual infinites, see, e.g., the references in fn. 6, as well as Leon (2011) and Cohen (2015).

  13. 13.

    Craig and Sinclair (2009, 124).

  14. 14.

    Cf. Morriston (2000, 2002b, c, d).

  15. 15.

    Ibid.

  16. 16.

    Ibid.

  17. 17.

    Ibid.

  18. 18.

    For other arguments to the conclusion that naturalistic accounts of the origin of the universe fare at least as well as theistic accounts, see Oppy (2009, 2010, 2013a, b).

  19. 19.

    It should also be mentioned that a significant number of naturalist philosophers of physics are inclined toward wave function realism, according to which the three-dimensional world of our experience is ultimately grounded in a massively higher-dimensional configuration space, where these dimensions aren’t “spatial” in any familiar sense of the word. Indeed, I myself am inclined toward such a view. On this sort of view, see, e.g., Albert (1996), Ismael and Schaffer (2016), Lewis (2004), Loewer (1996), Ney (2012, 2013, 2015, 2017, 2019), and North (2013).

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Leon, F. (2019). On Finitude, Topology, and Arbitrariness. In: Is God the Best Explanation of Things?. Palgrave Macmillan, Cham. https://doi.org/10.1007/978-3-030-23752-3_5

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