Two Mathematics, Two Gods: Newton and the Second Law

Perspectives on Science 2 (2):231-253 (1994)
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Abstract

This article continues the discussion, begun in an earlier contribution to Perspectives on Science, of recent arguments over the coherence of Newton’s physics. The arguments turn on his use of the term “force” in two apparently different ways in the second law. This ambiguity remains because Newton conceived of mathematics in two entirely different ways—the first as a way of describing how things are in themselves, the second as a method of approximation. These two conceptions were, in turn, reflections of how, according to Newton, one stands in relation to two ideas of God—God as pure being and God as will.

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The Laws of Motion from Newton to Kant.Eric Watkins - 1997 - Perspectives on Science 5 (3):311-348.

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References found in this work

Newton on Matter and Activity.Ralph C. S. Walker & Ernan McMullin - 1980 - Philosophical Quarterly 30 (120):249.
Atoms and the ‘analogy of nature’: Newton's third rule of philosophizing.J. E. McGuire - 1970 - Studies in History and Philosophy of Science Part A 1 (1):3-58.
Force and Inertia in Seventeenth-Century Dynamics.Alan Gabbey - 1971 - Studies in History and Philosophy of Science Part A 2 (1):1.
Atoms and the 'Analogy of Nature': Newton's Third Rule of Philosophizing.J. E. Mcguire - 1970 - Studies in History and Philosophy of Science Part A 1 (1):3.
The Mechanization of the World Picture.Eduard Jan Dijksterhuis - 1961 - Science and Society 35 (2):232-238.

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