Switch to: References

Citations of:

From the Phenomenon of the Ellipse to an Inverse-Square Force: Why Not?

In David B. Malament (ed.), Reading Natural Philosophy: Essays in the History and Philosophy of Science and Mathematics. Open Court. pp. 31--70 (2002)

Add citations

You must login to add citations.
  1. Mathematical Models in Newton’s Principia: A New View of the “Newtonian Style”.Steffen Ducheyne - 2005 - International Studies in the Philosophy of Science 19 (1):1 – 19.
    In this essay I argue against I. Bernard Cohen's influential account of Newton's methodology in the Principia: the 'Newtonian Style'. The crux of Cohen's account is the successive adaptation of 'mental constructs' through comparisons with nature. In Cohen's view there is a direct dynamic between the mental constructs and physical systems. I argue that his account is essentially hypothetical-deductive, which is at odds with Newton's rejection of the hypothetical-deductive method. An adequate account of Newton's methodology needs to show how Newton's (...)
    Download  
     
    Export citation  
     
    Bookmark   5 citations  
  • The reception of Newton's gravitational theory by huygens, varignon, and maupertuis: How normal science may be revolutionary.Koffi Maglo - 2003 - Perspectives on Science 11 (2):135-169.
    : This paper first discusses the current historical and philosophical framework forged during the last century to account for both the history and the epistemic status of Newton's theory of general gravitation. It then examines the conflict surrounding this theory at the close of the seventeenth century and the first steps towards the revolutionary shift in rational mechanics in the eighteenth century. From a historical point of view, it shows the crucial contribution of the Cartesian mechanistic philosophy and Leibnizian analytic (...)
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  • Climate Models and the Irrelevance of Chaos.Corey Dethier - 2021 - Philosophy of Science 88 (5):997-1007.
    Philosophy of science has witnessed substantial recent debate over the existence of a structural analogue of chaos, which is alleged to spell trouble for certain uses of climate models. The debate over the analogy can and should be separated from its alleged epistemic implications: chaos-like behavior is neither necessary nor sufficient for small dynamical misrepresentations to generate erroneous results. The kind of sensitivity that matters in epistemology is one that induces unsafe beliefs, and the existence of a structural analogue to (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Forces in a true and physical sense: from mathematical models to metaphysical conclusions.Corey Dethier - 2019 - Synthese 198 (2):1109-1122.
    Wilson [Dialectica 63:525–554, 2009], Moore [Int Stud Philos Sci 26:359–380, 2012], and Massin [Br J Philos Sci 68:805–846, 2017] identify an overdetermination problem arising from the principle of composition in Newtonian physics. I argue that the principle of composition is a red herring: what’s really at issue are contrasting metaphysical views about how to interpret the science. One of these views—that real forces are to be tied to physical interactions like pushes and pulls—is a superior guide to real forces than (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Newton's Principia.Chris Smeenk & Eric Schliesser - 2013 - In Jed Z. Buchwald & Robert Fox (eds.), The Oxford handbook of the history of physics. New York, NY: Oxford University Press. pp. 109-165.
    The Oxford Handbook of the History of Physics brings together cutting-edge writing by more than twenty leading authorities on the history of physics from the seventeenth century to the present day. By presenting a wide diversity of studies in a single volume, it provides authoritative introductions to scholarly contributions that have tended to be dispersed in journals and books not easily accessible to the general reader. While the core thread remains the theories and experimental practices of physics, the Handbook contains (...)
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  • The transcendental method from Newton to Kant.Robert DiSalle - 2013 - Studies in History and Philosophy of Science Part A 44 (3):448-456.
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
  • Kant’s Cognitive Semantics, Newton’s Rule Four of Philosophy and Scientific Realism.Kenneth R. Westphal - 2011 - Bulletin of the Hegel Society of Great Britain 63 (1-2):27-49.
    Kant’s Critique of Pure Reason contains an original and powerful semantics of singular cognitive reference which has important implications for epistemology and for philosophy of science. Here I argue that Kant’s semantics directly and strongly supports Newton’s Rule 4 of Philosophy in ways which support Newton’s realism about gravitational force. I begin with Newton’s Rule 4 of Philosophy and its role in Newton’s justification of realism about gravitational force (§2). Next I briefly summarize Kant’s semantics of singular cognitive reference (§3), (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Philosophical Geometers and Geometrical Philosophers.Chris Smeenk - 2016 - In Geoffrey Gorham (ed.), The Language of Nature: Reassessing the Mathematization of Natural Philosophy in the Seventeenth Century. Minneapolis: University of Minnesota Press. pp. 308-338.
    Galileo’s dictum that the book of nature “is written in the language of mathematics” is emblematic of the accepted view that the scientific revolution hinged on the conceptual and methodological integration of mathematics and natural philosophy. Although the mathematization of nature is a distinctive and crucial feature of the emergence of modern science in the seventeenth century, this volume shows that it was a far more complex, contested, and context-dependent phenomenon than the received historiography has indicated, and that philosophical controversies (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • 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 (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • On Newtonian Induction.Ori Belkind - 2017 - Philosophy of Science 84 (4):677-697.
    This article examines Newton’s method of induction and its connection to methodological atomism. The article argues that Newton’s Rule III for the Study of Natural Philosophy is a criterion for isolating the primary qualities of the atomic parts; in other words, it interprets Rule III as a transductive inference. It is shown that both the standard inductive and invariance interpretations of Rule III can be subsumed under the transductive view, although the invariance criterion is reinterpreted; by qualities “that cannot be (...)
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  • Do Newton’s rules of reasoning guarantee truth … must they?Quayshawn Spencer - 2004 - Studies in History and Philosophy of Science Part A 35 (4):759-782.
    Newton’s Principia introduces four rules of reasoning for natural philosophy. Although useful, there is a concern about whether Newton’s rules guarantee truth. After redirecting the discussion from truth to validity, I show that these rules are valid insofar as they fulfill Goodman’s criteria for inductive rules and Newton’s own methodological program of experimental philosophy; provided that cross-checks are used prior to applications of rule 4 and immediately after applications of rule 2 the following activities are pursued: (1) research addressing observations (...)
    Download  
     
    Export citation  
     
    Bookmark   8 citations  
  • Hegel's Pragmatic Critique and Reconstruction of Kant's System of Principles in the 1807 Phenomenology of Spirit.Kenneth R. Westphal - 2015 - Hegel Bulletin 36 (2):159-183.
    Peirce's study of Kant, and later of Hegel, and Dewey's (1930) retention of much of Hegel's social philosophy are recognised idealist sources of pragmatism. Here I argue that the transition from idealism to pragmatic realism was already achieved by Hegel. Hegel's ‘Objective Logic’ corresponds in part to Kant's ‘Transcendental Logic’ (WdL,GW21:47.1-3). Hegel faults Kant for relegating concepts of reflection to an Appendix to his Transcendental Logic (WdL,GW12:19.34-38), and for treating reason as ‘only dialectical’ and as ‘merely regulative’ (WdL,GW12:23.12,.16-17). I present (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Testing universal gravitation in the laboratory, or the significance of research on the mean density of the earth and big G, 1798–1898: changing pursuits and long-term methodological–experimental continuity.Steffen Ducheyne - 2011 - Archive for History of Exact Sciences 65 (2):181-227.
    This article seeks to provide a historically well-informed analysis of an important post-Newtonian area of research in experimental physics between 1798 and 1898, namely the determination of the mean density of the earth and, by the end of the nineteenth century, the gravitational constant. Traditionally, research on these matters is seen as a case of “puzzle solving.” In this article, the author shows that such focus does not do justice to the evidential significance of eighteenth- and nineteenth-century experimental research on (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • The argument(s) for universal gravitation.Steffen Ducheyne - 2006 - Foundations of Science 11 (4):419-447.
    In this paper an analysis of Newton’s argument for universal gravitation is provided. In the past, the complexity of the argument has not been fully appreciated. Recent authors like George E. Smith and William L. Harper have done a far better job. Nevertheless, a thorough account of the argument is still lacking. Both authors seem to stress the importance of only one methodological component. Smith stresses the procedure of approximative deductions backed-up by the laws of motion. Harper stresses “systematic dependencies” (...)
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
  • Incommensurability and the discontinuity of evidence.Jed Z. Buchwald & George E. Smith - 2001 - Perspectives on Science 9 (4):463-498.
    Incommensurability between successive scientific theories—the impossibility of empirical evidence dictating the choice between them—was Thomas Kuhn's most controversial proposal. Toward defending it, he directed much effort over his last 30 years into formulating precise conditions under which two theories would be undeniably incommensurable with one another. His first step, in the late 1960s, was to argue that incommensurability must result when two theories involve incompatible taxonomies. The problem he then struggled with, never obtaining a solution that he found entirely satisfactory, (...)
    Download  
     
    Export citation  
     
    Bookmark   10 citations