Switch to: References

Add citations

You must login to add citations.
  1. 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 Neo-Platonic Ontology of Space.Edward Slowik - 2013 - Foundations of Science 18 (3):419-448.
    This paper investigates Newton’s ontology of space in order to determine its commitment, if any, to both Cambridge neo-Platonism, which posits an incorporeal basis for space, and substantivalism, which regards space as a form of substance or entity. A non-substantivalist interpretation of Newton’s theory has been famously championed by Howard Stein and Robert DiSalle, among others, while both Stein and the early work of J. E. McGuire have downplayed the influence of Cambridge neo-Platonism on various aspects of Newton’s own spatial (...)
    Download  
     
    Export citation  
     
    Bookmark   5 citations  
  • Newtonian Emanation, Spinozism, Measurement and the Baconian Origins of the Laws of Nature.Eric Schliesser - 2013 - Foundations of Science 18 (3):449-466.
    The first two sections of this paper investigate what Newton could have meant in a now famous passage from “De Graviatione” (hereafter “DeGrav”) that “space is as it were an emanative effect of God.” First it offers a careful examination of the four key passages within DeGrav that bear on this. The paper shows that the internal logic of Newton’s argument permits several interpretations. In doing so, the paper calls attention to a Spinozistic strain in Newton’s thought. Second it sketches (...)
    Download  
     
    Export citation  
     
    Bookmark   8 citations  
  • Hegel's metaphysics of nature.Anton Kabeshkin - 2021 - European Journal of Philosophy 30 (2):778-792.
    European Journal of Philosophy, Volume 30, Issue 2, Page 778-792, June 2022.
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  • Newton and Proclus: Geometry, imagination, and knowing space.Mary Domski - 2012 - Southern Journal of Philosophy 50 (3):389-413.
    I aim to clarify the argument for space that Newton presents in De Gravitatione (composed prior to 1687) by putting Newton's remarks into conversation with the account of geometrical knowledge found in Proclus's Commentary on the First Book of Euclid's Elements (ca. 450). What I highlight is that both Newton and Proclus adopt an epistemic progression (or “order of knowing”) according to which geometrical knowledge necessarily precedes our knowledge of metaphysical truths concerning the ontological state of affairs. As I argue, (...)
    Download  
     
    Export citation  
     
    Bookmark   5 citations  
  • Kant and Newton on the a priori necessity of geometry.Mary Domski - 2013 - Studies in History and Philosophy of Science Part A 44 (3):438-447.
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  • Imagination, metaphysics, mathematics: Descartes’s arguments for the Vortex Hypothesis.Mary Domski - 2019 - Synthese 196 (9):3505-3526.
    In this paper, I examine the manner in which Descartes defends his Vortex Hypothesis in Part III of the Principles of Philosophy, and expand on Ernan McMullin’s characterization of the methodology that Descartes uses to support his planetary system. McMullin illuminates the connection between the deductive method of Part III and the method Descartes uses in earlier portions of the Principles, and he brings needed light to the role that imaginative constructions play in Descartes’s explanations of the phenomena. I develop (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Space Before God? A Problem in Newton's Metaphysics.Patrick J. Connolly - 2015 - Philosophy 90 (1):83-106.
    My goal in this paper is to elucidate a problematic feature of Newton's metaphysics of absolute space. Specifically, I argue that Newton's theory has the untenable consequence that God depends on space for His existence and is therefore not an independent entity. I argue for this conclusion in stages. First, I show that Newton believed that space was an entity and that God and space were ontologically distinct entities. Part of this involves arguing that Newton denies that space is a (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • The Certainty, Modality, and Grounding of Newton’s Laws.Zvi Biener & Eric Schliesser - 2017 - The Monist 100 (3):311-325.
    Newton began his Principia with three Axiomata sive Leges Motus. We offer an interpretation of Newton’s dual label and investigate two tensions inherent in his account of laws. The first arises from the juxtaposition of Newton’s confidence in the certainty of his laws and his commitment to their variability and contingency. The second arises because Newton ascribes fundamental status both to the laws and to the bodies and forces they govern. We argue the first is resolvable, but the second is (...)
    Download  
     
    Export citation  
     
    Bookmark   4 citations