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Super-Humeanism and physics: A merry relationship?

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Abstract

Humeanism started life as a metaphysical program that could turn out to be false if our best physical theories were to postulate ontological features at odds with Humean ones. However, even if this has arguably already happened, Humeanism is still considered one of the strongest and most appealing metaphysical theories for describing the physical world. What is even more surprising is that a radical Humean thesis—Super-Humeanism—which posits an extremely parsimonious ontology including nothing more than propertyless matter points and their distance relations, is said by its proponents to follow from an attentive reading of our best physical theories. Given its close relationship with physics, Super-Humeans argue that their doctrine (i) conforms to Scientific Realism, (ii) offers the ontology that best explains physics’ empirical evidence, and (iii) is a naturalistic theory. This paper investigates the strategies that Super-Humeans have adopted to defend these three claims and, more generally, its alleged closeness to physics. I will show that, contrary to what advocates of Super-Humeanism claim, some of its commitments have inevitably created a gap between itself and physics that is difficult to overcome. While it is laudable that Super-Humeans have adopted various strategies to close this gap, no strategy has yet fully succeeded.

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Notes

  1. For a discussion of the compatibility between Humeanism and Quantum Gravity, see Wüthrich (2019), Matarese (2019) and Esfeld (2020c).

  2. See, for instance, how Lewis suggests revisiting his definition of intrinsic properties in order to accommodate vectors as fundamental properties of the Humean mosaic (Lewis 1994, p. 474). A second example comes from the existence of a fundamentally probabilistic world, which certain interpretations of quantum mechanics seem to imply. In this case, Lewis takes great pains to show how chance fits with his thesis of Humean Supervenience, and he even considers that this problem may constitute a fatal blow to his whole project (Lewis 1994). Therefore, it seems to me that Lewis himself still takes his doctrine literally and finds it meaningful to engage in discussions about physics.

  3. To see why it seems extremely hard to reduce entanglement relations to intrinsic properties of particles, see Maudlin (2007).

  4. See Darby (2012), who proposes to add entanglement relations to the mosaic.

  5. See, for instance, Callender (2015), Esfeld (2014), Huggett (2006) and Miller (2014).

  6. For instance, in the case of entanglement, an option for Humeans, which was proposed in Loewer (1996), would be to endorse 3N-fundamentalism and consider the configuration space as the arena of the Humean mosaic, upon which all else (including entanglement relations) supervenes. However, this solution certainly faces problems, not only because, strictly speaking, it would violate the Humean thesis according to which spacetime and our spatiotemporal relations (and not some sort of spacetime-like arena or spatiotemporal-like relations) are fundamental, but, more importantly, because it is very controversial to consider the configuration space, which is essentially a mathematical space, as a physical space. For this reason, many Humeans regard this option as the very last resort one should appeal to. See Esfeld (2014).

  7. See Sect. 2 for an explanation of the Best System account.

  8. One notable exception is Belot (2011). For current criticisms of this strategy, see Dewar (2018)‚ Lazarovici (2018)‚ Matarese (2018) and Simpson (2019).

  9. See, for instance, Esfeld (2014), Miller (2014), Hubert (2016). ‘Humean strategies’ are applied even in non-Humean papers: see Vassallo and Esfeld (2016).

  10. In this paper, the name ‘Super-Humeanism’ is used specifically for the view developed in Esfeld (2020a, b), and in Esfeld and Deckert (2018). This label, however, could also be used more broadly, so as to include Huggett’s relational account, which is not committed to a particle ontology like Esfeld’s Super-Humeanism.

  11. Borrowing Super-Humean terminology, we will use ‘matter points’ (a more technical term) and ‘particles’ (a looser term) interchangeably.

  12. For a discussion of this kind of argument, see Dewar (2018).

  13. Here Lewis proposes an even more direct relation between physics and perfectly natural properties: “Thus the business of physics is not just to discover laws […], physics proposes inventories of the natural properties instantiated in our world” (Lewis 1983, p. 364).

  14. See, for instance, the following: “Physics has its short list of 'fundamental physical properties': the charges and masses of particles, also their so-called 'spins' and 'colours' and 'flavours', and maybe a few more that have yet to be discovered” (Lewis 1986, p. 60).

  15. According to Loewer’s (2007) account of Humean laws of nature, on the contrary, physics tells us what is scientifically—and not metaphysically—fundamental, by giving us fundamental laws that employ scientifically fundamental predicates. Yet even within this Humean view, physics guides us to what is fundamental in the world.

  16. See, for instance, Esfeld (2014) when he talks about the wave function.

  17. I would like to thank an anonymous referee of this special issue for guiding me in interpreting this passage correctly.

  18. While Lewis (1986) argues for metaphysical fundamentality, Loewer (2007) prefers scientific fundamentality.

  19. I will address the problematic ontological status of these properties in the next section.

  20. Unfortunately, there is no metaphysical clarification on this in the works by Esfeld and his collaborators. So, it is difficult to reconstruct a faithful and honest interpretation of their view on this. What I understand is that Esfeld considers ontological status and nomological status to be two mutually exclusive alternatives. In this context, the nomological status attributed to supervenient entities like mass indicates that there is no physical property ‘mass’ which is independent of particle trajectories. Moreover, the supervenience relation is understood as a strong reductive relation.

  21. For this claim, I am very much indebted to Dan Marshall.

  22. For a clarification of Scientific Realism, see Chakravartty (2017).

  23. See the following by Chakravartty (2017): “Semantically, realism is committed to a literal interpretation of scientific claims about the world. In common parlance, realists take theoretical statements at ‘face value’”.

  24. Many Super-Humeans refer to Bell, who famously wrote, concerning the double slit experiment: “Is it not clear from the smallness of the scintillation on the screen that we have to do with a particle?” (Bell 1987, p. 191).

  25. See Esfeld and Deckert (2018), where they show that “the predictions of the Standard Model in the electron sector for cut-offs and neglect of radiation arise naturally from a Bohmian quantum field theory.” (Esfeld and Deckert 2018, p. 128).

  26. For an explanation of the identity-based Bohmian guiding equation and a comparison with the standard one, see Goldstein et al. (2005) and Esfeld et al. (2017b).

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Acknowledgements

I am very grateful to Dan Marshall for many enlightening and rigorous conversations on Humeanism and Super-Humeanism. I also would like to thank my anonymous referees for very insightful comments and the editor of this special issue, László Kocsis, for his kind assistance. Funding for this project was initially provided by the Institute of Philosophy of the Czech Academy of Sciences (grant Formal Epistemologythe Future Synthesis, in the framework of the program Praemium Academicum) and later by the Center for Space and Habitability of the University of Bern.

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Matarese, V. Super-Humeanism and physics: A merry relationship?. Synthese 199, 791–813 (2021). https://doi.org/10.1007/s11229-020-02717-w

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