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  1. The Π-Theorem as a Guide to Quantity Symmetries and the Argument Against Absolutism.Mahmoud Jalloh - 2024 - In Dean W. Zimmerman & Karen Bennett (eds.), Oxford Studies in Metaphysics Volume 14. Oxford University Press.
    In this paper a symmetry argument against quantity absolutism is amended. Rather than arguing against the fundamentality of intrinsic quantities on the basis of transformations of basic quantities, a class of symmetries defined by the Π-theorem is used. This theorem is a fundamental result of dimensional analysis and shows that all unit-invariant equations which adequately represent physical systems can be put into the form of a function of dimensionless quantities. Quantity transformations that leave those dimensionless quantities invariant are empirical and (...)
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  • Electron Charge Density: A Clue from Quantum Chemistry for Quantum Foundations.Charles T. Sebens - 2021 - Foundations of Physics 51 (4):1-39.
    Within quantum chemistry, the electron clouds that surround nuclei in atoms and molecules are sometimes treated as clouds of probability and sometimes as clouds of charge. These two roles, tracing back to Schrödinger and Born, are in tension with one another but are not incompatible. Schrödinger’s idea that the nucleus of an atom is surrounded by a spread-out electron charge density is supported by a variety of evidence from quantum chemistry, including two methods that are used to determine atomic and (...)
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  • The (un)detectability of absolute Newtonian masses.Niels C. M. Martens - 2019 - Synthese 198 (3):2511-2550.
    Absolutism about mass claims that mass ratios obtain in virtue of absolute masses. Comparativism denies this. Dasgupta, Oxford studies in metaphysics, Oxford University Press, Oxford, 2013) argues for comparativism about mass, in the context of Newtonian Gravity. Such an argument requires proving that comparativism is empirically adequate. Dasgupta equates this to showing that absolute masses are undetectable, and attempts to do so. This paper develops an argument by Baker to the contrary: absolute masses are in fact empirically meaningful, that is (...)
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  • Machian Comparativism about Mass.Niels C. M. Martens - 2022 - British Journal for the Philosophy of Science 73 (2):325-349.
    Absolutism about mass within Newtonian gravity claims that mass ratios obtain in virtue of absolute masses. Comparativism denies this. Defenders of comparativism promise to recover all the empirical and theoretical virtues of absolutism, but at a lower ‘metaphysical cost’. This article develops a Machian form of comparativism about mass in Newtonian gravity, obtained by replacing Newton’s constant in the law of universal gravitation by another constant divided by the sum over all masses. Although this form of comparativism is indeed empirically (...)
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  • Against Laplacian Reduction of Newtonian Mass to Spatiotemporal Quantities.Niels C. M. Martens - 2018 - Foundations of Physics 48 (5):591-609.
    Laplace wondered about the minimal choice of initial variables and parameters corresponding to a well-posed initial value problem. Discussions of Laplace’s problem in the literature have focused on choosing between spatiotemporal variables relative to absolute space or merely relative to other material bodies and between absolute masses or merely mass ratios. This paper extends these discussions of Laplace’s problem, in the context of Newtonian Gravity, by asking whether mass needs to be included in the initial state at all, or whether (...)
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  • Regularity Comparativism about Mass in Newtonian Gravity.Niels C. M. Martens - 2017 - Philosophy of Science 84 (5):1226-1238.
    Comparativism—the view that mass ratios are not grounded in absolute masses—faces a challenge by Baker which suggests that absolute masses are empirically meaningful. Regularity comparativism uses a liberalized version of the Mill-Ramsey-Lewis Best Systems Account to have both the laws of Newtonian gravity and the absolute mass scale supervene on a comparativist Humean mosaic as a package deal. I discuss three objections to this view and conclude that it is untenable. The most severe problem is that once we have reduced (...)
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  • A challenge for Super-Humeanism: the problem of immanent comparisons.Vera Matarese - 2020 - Synthese 197 (9):4001-4020.
    According to the doctrine of Super-Humeanism, the world’s mosaic consists only of permanent matter points and changing spatial relations, while all the other entities and features figuring in scientific theories are nomological parameters, whose role is merely to build the best law system. In this paper, I develop an argument against Super-Humeanism by pointing out that it is vulnerable to and does not have the resources to solve the well-known problem of immanent comparisons. Firstly, I show that it cannot endorse (...)
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  • On Absolute Units.Neil Dewar - 2021 - British Journal for the Philosophy of Science 75 (1):1-30.
    How may we characterize the intrinsic structure of physical quantities such as mass, length, or electric charge? This article shows that group-theoretic methods—specifically, the notion of a free and transitive group action—provide an elegant way of characterizing the structure of scalar quantities, and uses this to give an intrinsic treatment of vector quantities. It also gives a general account of how different scalar or vector quantities may be algebraically combined with one another. Finally, it uses this apparatus to give a (...)
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  • Against Reducing Newtonian Mass to Kinematical Quantities.Niels C. M. Martens - unknown
    It is argued that Newtonian mass cannot be reduced to kinematical quantities---distance, velocity and acceleration---without losing the explanatory and predictive power of Newtonian Gravity.
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