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  1. Hamiltonian Privilege.Josh Hunt, Gabriele Carcassi & Christine Aidala - forthcoming - Erkenntnis:1-24.
    We argue that Hamiltonian mechanics is more fundamental than Lagrangian mechanics. Our argument provides a non-metaphysical strategy for privileging one formulation of a theory over another: ceteris paribus, a more general formulation is more fundamental. We illustrate this criterion through a novel interpretation of classical mechanics, based on three physical conditions. Two of these conditions suffice for recovering Hamiltonian mechanics. A third condition is necessary for Lagrangian mechanics. Hence, Lagrangian systems are a proper subset of Hamiltonian systems. Finally, we provide (...)
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  • The Nature of a Constant of Nature: the Case of G.Caspar Jacobs - 2022 - Philosophy of Science 90 (4):797-81.
    Physics presents us with a symphony of natural constants: G, h, c, etc. Up to this point, constants have received comparatively little philosophical attention. In this paper I provide an account of dimensionful constants, in particular the gravitational constant. I propose that they represent inter-quantity structure in the form of relations between quantities with different dimensions. I use this account of G to settle a debate over whether mass scalings are symmetries of Newtonian Gravitation. I argue that they are not, (...)
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  • Should physical laws be unit-invariant?Jim Grozier - 2020 - Studies in History and Philosophy of Science Part A 80:9-18.
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  • Making sense of absolute measurement: James Clerk Maxwell, William Thomson, Fleeming Jenkin, and the invention of the dimensional formula.Daniel Jon Mitchell - 2017 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 58 (C):63-79.
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  • Qualitative vs quantitative conceptions of homogeneity in nineteenth century dimensional analysis.Sybil Gertrude De Clark - 2017 - Annals of Science 74 (4):299-325.
    ABSTRACTThe emergence of dimensional analysis in the early nineteenth century involved a redefinition of the pre-existing concepts of homogeneity and dimensions, which entailed a shift from a qualitative to a quantitative conception of these notions. Prior to the nineteenth century, these concepts had been used as criteria to assess the soundness of operations and relations between geometrical quantities. Notably, the terms in such relations were required to be homogeneous, which meant that they needed to have the same geometrical dimensions. The (...)
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  • The Scientific Image.William Demopoulos & Bas C. van Fraassen - 1982 - Philosophical Review 91 (4):603.
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  • The Constants of Nature: A Realist Account.Peter Johnson - 1997 - Ashgate Publishing.
    The aim of this book is to provide a realist account of the constants in physics as an alternative to the prevailing conventionalist perspective of many philosophers. To do so the author first focuses on the discussion of the most primitive categories of physical constants which underlie modern science. Subsequently, the conventionalist case is examined in depth and, while held to be coherent, is shown to provide an incomplete account of how constants and related concepts of dimensions function in science. (...)
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  • Dimensional explanations.Marc Lange - 2009 - Noûs 43 (4):742-775.
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  • Relations Between Units and Relations Between Quantities.S. G. Sterrett - 2019 - In Nadine de Courtenay & Olivier Darrigol (eds.), The Reform of the International System of Units (Si): Philosophical, Historical and Sociological Issues. Routledge. pp. 99-124.
    The proposed revision to the International System of Units contains two features that are bound to be of special interest to those concerned with foundational questions in philosophy of science. These are that the proposed system of international units can be defined without drawing a distinction between base units and derived units, and without restricting the means by which the value of the quantities associated with the units are to be established. In this paper, I address the question of the (...)
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  • A dimensionless physics?L. L. Whyte - 1954 - British Journal for the Philosophy of Science 5 (17):1-17.
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  • On the nature of dimensions.Brian Ellis - 1964 - Philosophy of Science 31 (4):357-380.
    In the first part of this paper it is shown that unit names, whether simple or complex, whether of fundamental, associative or derivative measurement, may always be regarded as the names of scales. In the second it is shown that dimension names, whether simple, like "[M]", "[L]" and "[T]", or complex dimensional formulae, may always be regarded as the names of classes of similar scales. Thus, a new foundation for the theory of dimensional analysis is provided, and in the light (...)
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  • Dimensions.S. Sterrett - 2022 - In Eleanor Knox & Alastair Wilson (eds.), The Routledge Companion to Philosophy of Physics. London, UK: Routledge.
    This chapter concerns dimensions as the term is used in the physical sciences today. Some key points made are: Quantities of the same kind have the same dimension; but that two quantities have the same dimension does not necessarily mean they are of the same kind. The dimension of a quantity is not determined for a single quantity in isolation, but relative to a system of quantities and the relations that hold between them. Dimensions, units, and quantities are distinct notions. (...)
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  • The Metaphysics of Quantities and Their Dimensions.Bradford Skow - 2017 - In Karen Bennett & Dean W. Zimmerman (eds.), Oxford Studies in Metaphysics: Volume 10. Oxford University Press UK. pp. 171-198.
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