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A guide to Newton's principia

In The Principia: Mathematical Principles of Natural Philosophy. Univ of California Press. pp. 2--370 (1999)

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  1. (1 other version)Gravity’s cause and substance counting: contextualizing the problems.Hylarie Kochiras - 2011 - Studies in History and Philosophy of Science Part A 42 (1):167-184.
    This paper considers Newton’s position on gravity’s cause, both conceptually and historically. With respect to the historical question, I argue that while Newton entertained various hypotheses about gravity’s cause, he never endorsed any of them, and in particular, his lack of confidence in the hypothesis of robust and unmediated distant action by matter is explained by an inclination toward certain metaphysical principles. The conceptual problem about gravity’s cause, which I identified earlier along with a deeper problem about individuating substances, is (...)
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  • (1 other version)Michael Friedman on Kant and Newton.William Harper - 2000 - Dialogue 39 (2):279-.
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  • Written in the flesh: Isaac Newton on the mind–body relation.Liam Dempsey - 2006 - Studies in History and Philosophy of Science Part A 37 (3):420-441.
    Isaac Newton’s views on the mind–body relation are of interest not only because of their somewhat unique departure from popular early modern conceptions of mind and its relation to body, but also because of their connections with other aspects of Newton’s thought. In this paper I argue that (1) Newton accepted an interesting sort of mind–body monism, one which defies neat categorization, but which clearly departs from Cartesian substance dualism, and (2) Newton took the power by which we move our (...)
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  • (1 other version)Gravity and Newton’s Substance Counting Problem.Hylarie Kochiras - 2009 - Studies in History and Philosophy of Science Part A 40 (3):267-280.
    A striking feature of Newton’s thought is the very broad reach of his empiricism, potentially extending even to immaterial substances, including God, minds, and should one exist, a non-perceiving immaterial medium. Yet Newton is also drawn to certain metaphysical principles—most notably the principle that matter cannot act where it is not—and this second, rationalist feature of his thought is most pronounced in his struggle to discover ‘gravity’s cause’. The causal problem remains vexing, for he neither invokes primary causation, nor accepts (...)
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  • (1 other version)Gravity and Newton’s Substance Counting Problem.Hylarie Kochiras - 2009 - Studies in History and Philosophy of Science Part A 40 (3):267-280.
    A striking feature of Newton’s thought is the very broad reach of his empiricism, potentially extending even to immaterial substances, including God, minds, and should one exist, a non-perceiving immaterial medium. Yet Newton is also drawn to certain metaphysical principles—most notably the principle that matter cannot act where it is not—and this second, rationalist feature of his thought is most pronounced in his struggle to discover ‘gravity’s cause’. The causal problem remains vexing, for he neither invokes primary causation, nor accepts (...)
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  • Newton's Law of Universal Gravitation and Hume's Conception of Causality.Matias Slavov - 2013 - Philosophia Naturalis 50 (2):277-305.
    This article investigates the relationship between Hume’s causal philosophy and Newton ’s philosophy of nature. I claim that Newton ’s experimentalist methodology in gravity research is an important background for understanding Hume’s conception of causality: Hume sees the relation of cause and effect as not being founded on a priori reasoning, similar to the way that Newton criticized non - empirical hypotheses about the properties of gravity. However, according to Hume’s criteria of causal inference, the law of universal gravitation is (...)
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  • Thomas Reid’s Newtonian Theism: his differences with the classical arguments of Richard Bentley and William Whiston.Robert Callergård - 2010 - Studies in History and Philosophy of Science Part A 41 (2):109-119.
    Reid was a Newtonian and a Theist, but did he found his Theism on Newton’s physics? In opposition to commonplace assumptions about the role of Theism in Reid’s philosophy, my answer is no. Reid prefers to found his Theism on a priori reasons, rather than on physics. Reid’s understanding of physics as an empirical science stops it from contributing in any clear and efficient way to issues of natural theology. In addition, Reid is highly sceptical of our ability to discover (...)
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  • (1 other version)Gravity’s cause and substance counting: contextualizing the problems.Hylarie Kochiras - 2011 - Studies in History and Philosophy of Science Part A 42 (1):167-184.
    This paper considers Newton’s position on gravity’s cause, both conceptually and historically. With respect to the historical question, I argue that while Newton entertained various hypotheses about gravity’s cause, he never endorsed any of them, and in particular, his lack of confidence in the hypothesis of robust and unmediated distant action by matter is explained by an inclination toward certain metaphysical principles. The conceptual problem about gravity’s cause, which I identified earlier along with a deeper problem about individuating substances, is (...)
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  • The mathematical form of measurement and the argument for Proposition I in Newton’s Principia.Katherine Dunlop - 2012 - Synthese 186 (1):191-229.
    Newton characterizes the reasoning of Principia Mathematica as geometrical. He emulates classical geometry by displaying, in diagrams, the objects of his reasoning and comparisons between them. Examination of Newton’s unpublished texts shows that Newton conceives geometry as the science of measurement. On this view, all measurement ultimately involves the literal juxtaposition—the putting-together in space—of the item to be measured with a measure, whose dimensions serve as the standard of reference, so that all quantity is ultimately related to spatial extension. I (...)
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  • Wonder in the face of scientific revolutions: Adam Smith on Newton's ‘Proof’ of Copernicanism 1.Eric Schliesser - 2005 - British Journal for the History of Philosophy 13 (4):697-732.
    (2005). Wonder in the face of scientific revolutions: Adam Smith on Newton's ‘Proof’ of Copernicanism. British Journal for the History of Philosophy: Vol. 13, No. 4, pp. 697-732. doi: 10.1080/09608780500293042.
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  • Derivative Properties in Fundamental Laws.Michael Townsen Hicks & Jonathan Schaffer - 2017 - British Journal for the Philosophy of Science 68 (2).
    Orthodoxy has it that only metaphysically elite properties can be invoked in scientifically elite laws. We argue that this claim does not fit scientific practice. An examination of candidate scientifically elite laws like Newton’s F = ma reveals properties invoked that are irreversibly defined and thus metaphysically non-elite by the lights of the surrounding theory: Newtonian acceleration is irreversibly defined as the second derivative of position, and Newtonian resultant force is irreversibly defined as the sum of the component forces. We (...)
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  • Newton’s “satis est”: A new explanatory role for laws.Lina Jansson - 2013 - Studies in History and Philosophy of Science Part A 44 (4):553-562.
    In this paper I argue that Newton’s stance on explanation in physics was enabled by his overall methodology and that it neither committed him to embrace action at a distance nor to set aside philosophical and metaphysical questions. Rather his methodology allowed him to embrace a non-causal, yet non-inferior, kind of explanation. I suggest that Newton holds that the theory developed in the Principia provides a genuine explanation, namely a law-based one, but that we also lack something explanatory, namely a (...)
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  • Can the wave function in configuration space be replaced by single-particle wave functions in physical space?Travis Norsen, Damiano Marian & Xavier Oriols - 2015 - Synthese 192 (10):3125-3151.
    The ontology of Bohmian mechanics includes both the universal wave function and particles. Proposals for understanding the physical significance of the wave function in this theory have included the idea of regarding it as a physically-real field in its 3N-dimensional space, as well as the idea of regarding it as a law of nature. Here we introduce and explore a third possibility in which the configuration space wave function is simply eliminated—replaced by a set of single-particle pilot-wave fields living in (...)
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