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Qualitative vs quantitative conceptions of homogeneity in nineteenth century dimensional analysis

Sybil Gertrude De Clark

Annals of Science 74 (4):299-325 (2017)

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Metaphysics and Convention in Dimensional Analysis, 1914-1917.Mahmoud Jalloh - 2024 - Hopos: The Journal of the International Society for the History of Philosophy of Science 14 (2):275-322.details This paper recovers an important, century-old debate regarding the methodological and metaphysical foundations of dimensional analysis. Consideration of Richard Tolman's failed attempt to install the principle of similitude---the relativity of size---as the founding principle of dimensional analysis both clarifies the method of dimensional analysis and articulates two metaphysical positions regarding quantity dimensions. Tolman's position is quantity dimension fundamentalism. This is a commitment to dimensional realism and a set of fundamental dimensions which ground all further dimensions. The opposing position, developed primarily (...) Download Export citation Bookmark
Calibrating the theory of model mediated measurement: metrological extension, dimensional analysis, and high pressure physics.Mahmoud Jalloh - 2024 - European Journal for Philosophy of Science 14 (40):1-32.details I argue that dimensional analysis provides an answer to a skeptical challenge to the theory of model mediated measurement. The problem arises when considering the task of calibrating a novel measurement procedure, with greater range, to the results of a prior measurement procedure. The skeptical worry is that the agreement of the novel and prior measurement procedures in their shared range may only be apparent due to the emergence of systematic error in the exclusive range of the novel measurement procedure. (...) Download Export citation Bookmark
In Defence of Dimensions.Caspar Jacobs - forthcoming - British Journal for the Philosophy of Science.details The distinction between dimensions and units in physics is commonplace. But are dimensions a feature of reality? The most widely-held view is that they are no more than a tool for keeping track of the values of quantities under a change of units. This anti-realist position is supported by an argument from underdetermination: one can assign dimensions to quantities in many different ways, all of which are empirically equivalent. In contrast, I defend a form of dimensional realism, on which some (...) Download Export citation Bookmark 1 citation
Pictures, models, and measures.S. G. Sterrett - 2017 - Belgrade Philosophical Annual 30 (30):99-137.details In this paper, I enrich the context of Wittgenstein's Tractatus given over a decade ago in my book Witttgenstein Flies A Kite (and related earlier works dating from 2000). I've since located a sketch reprinted from a 1914 Paris magazine showing a lawyer using a model bus and dolls to depict a traffic accident; I present it here along with a discussion of the modelmaker movement of that time. The modelmaker movement was a movement at the intersection of popular culture (...) Download Export citation Bookmark
“The Etherealization of Common Sense?” Arithmetical and Algebraic Modes of Intelligibility in Late Victorian Mathematics of Measurement.Daniel Jon Mitchell - 2019 - Archive for History of Exact Sciences 73 (2):125-180.details The late nineteenth century gradually witnessed a liberalization of the kinds of mathematical object and forms of mathematical reasoning permissible in physical argumentation. The construction of theories of units illustrates the slow and difficult spread of new “algebraic” modes of mathematical intelligibility, developed by leading mathematicians from the 1830s onwards, into elementary arithmetical pedagogy, experimental physics, and fields of physical practice like telegraphic engineering. A watershed event in this process was a clash that took place during 1878 between J. D. (...) Download Export citation Bookmark

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