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  1. Abstract considerations: disciplines and the incoherence of Newton’s natural philosophy.Rob Iliffe - 2004 - Studies in History and Philosophy of Science Part A 35 (3):427-454.
    Historians have long sought putative connections between different areas of Newton’s scientific work, while recently scholars have argued that there were causal links between even more disparate fields of his intellectual activity. In this paper I take an opposite approach, and attempt to account for certain tensions in Newton’s ‘scientific’ work by examining his great sensitivity to the disciplinary divisions that both conditioned and facilitated his early investigations in science and mathematics. These momentous undertakings, exemplified by research that he wrote (...)
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  • Brazilian Studies in Philosophy and History of Science: An Account of Recent Works.Décio Krause & Antonio Videira (eds.) - 2010 - Dordrecht, Netherland: Springer.
    This volume, The Brazilian Studies in the Philosophy and History of Science, is the first attempt to present to a general audience, works from Brazil on this subject. The included papers are original, covering a remarkable number of relevant topics of philosophy of science, logic and on the history of science. The Brazilian community has increased in the last years in quantity and in quality of the works, most of them being published in respectable international journals on the subject. The (...)
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  • The snare of simplicity: the Newton–Flamsteed correspondence revisited.J. A. Ruffner - 2013 - Archive for History of Exact Sciences 67 (4):415-455.
    The correspondence in 1680 and 1681 between John Flamsteed and Isaac Newton on Flamsteed’s theory of the comet of 1680 tells half the story. Related manuscripts reveal Newton was pursuing his own comprehensive line of inquiry based on principles that were the antithesis of Flamsteed’s procedures. Following generally accepted views in England, Newton’s work was marked by critical evaluation of data but marred by uncritical use of simple calculating techniques based on what might be termed Platonic archetypes of straightness. Flamsteed’s (...)
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  • Conceptual Frameworks on the Relationship Between Physics–Mathematics in the Newton Principia Geneva Edition (1822).Raffaele Pisano & Paolo Bussotti - 2022 - Foundations of Science 27 (3).
    The aim of this paper is twofold: (1) to show the principal aspects of the way in which Newton conceived his mathematical concepts and methods and applied them to rational mechanics in his Principia; (2) to explain how the editors of the Geneva Edition interpreted, clarified, and made accessible to a broader public Newton’s perfect but often elliptic proofs. Following this line of inquiry, we will explain the successes of Newton’s mechanics, but also the problematic aspects of his perfect geometrical (...)
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  • Orbital motion and force in Newton’s Principia\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textit{Principia}$$\end{document}; the equivalence of the descriptions in Propositions 1 and 6. [REVIEW]Michael Nauenberg - 2014 - Archive for History of Exact Sciences 68 (2):179-205.
    In Book 1 of the Principia, Newton presented two different descriptions of orbital motion under the action of a central force. In Prop. 1, he described this motion as a limit of the action of a sequence of periodic force impulses, while in Prop. 6, he described it by the deviation from inertial motion due to a continuous force. From the start, however, the equivalence of these two descriptions has been the subject of controversies. Perhaps the earliest one was the (...)
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  • Johann Bernoulli, John Keill and the inverse problem of central forces.Niccol`O. Guicciardini - 1995 - Annals of Science 52 (6):537-575.
    Johann Bernoulli in 1710 affirmed that Newton had not proved that conic sections, having a focus in the force centre, were necessary orbits for a body accelerated by an inverse square force. He also criticized Newton's mathematical procedures applied to central forces in Principia mathematica, since, in his opinion, they lacked generality and could be used only if one knew the solution in advance. The development of eighteenth-century dynamics was mainly due to Continental mathematicians who followed Bernoulli's approach rather than (...)
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  • Harper and Ducheyne on Newton.Niccolò Guicciardini - 2013 - Perspectives on Science 21 (4):463-481.
    Essay review of William L. Harper, Isaac Newton’s scientific method. Turning data into evidence about gravity & cosmology. Oxford University Press, 2011; Steffen Ducheyne, The main business of natural philosophy. Isaac Newton’s natural-philosophical methodology. Springer, 2012. -/- The years 2011-12 will be regarded as memorable ones for the “Newtonian industry” since they have witnessed the publication of two beautiful and long awaited books devoted to Newton’s method and philosophy. They deserve great attention and praise, and I warmly recommend them to (...)
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  • Did Newton use his calculus in the Principia?Niccoló Guicciardini - 1998 - Centaurus 40 (3-4):303-344.
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  • Natural Kinds as Scientific Models.Luiz Henrique Dutra - 2011 - Boston Studies in the Philosophy of Science 290:141-150.
    The concept of natural kind is center stage in the debates about scientific realism. Champions of scientific realism such as Richard Boyd hold that our most developed scientific theories allow us to “cut the world at its joints” (Boyd, 1981, 1984, 1991). In the long run we can disclose natural kinds as nature made them, though as science progresses improvements in theory allow us to revise the extension of natural kind terms.
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