Inherent and Centrifugal Forces in Newton (original) (raw)

2006, Archive for History of Exact Sciences

Over the last few years a resurgence of Newtonian studies has led to a deeper understanding of several aspects of his Philosophiae naturalis principia mathematica. Besides the new translation of Newton's masterpiece, these contributions touched on his mathematical style, investigative method, experimental endeavors, and conceptual systematization of key notions in mechanics and the science of motion. 2 With regard to the last topic, recent works have identified two notions where Newton's choices look unclear and scholarly opinion is divided. These notions are materiae vis insita or vis inertiae, namely the inherent force of matter or force of inertia, and vis centrifuga or centrifugal force. It is my conviction that the two notions became inter-related in Newton's thought starting from the time of composition of the Principia and that a new look at them will simultaneously clarify matters about both. Newton's beliefs about the nature of centrifugal force did not affect his calculations of planetary and cometary orbits in the Principia, but they are none the less of considerable intellectual interest.

What we think we know about newton’s principia

EDUCA - Revista Multidisciplinar em Educação, 2018

In this article we examine some of the most controversial points in Newton's Principia regarding the contemporary interpretation: the assumed circularity of Definition I, the difference between vis insita and vis inertia, Law I and Law II. The main goal of this work is to offer a wider view of Newton’s writings and provide a historic philosophical approach to the physics teachers which will certainly be useful in physics teaching. We also discuss the modern terminology compared to the one used by Newton himself. Our main concern is to aid the deconstruction of preconceived ideas regarding the Principia which are fairly common among physics teachers.

Mathematical models in Newton's Principia : A new view of the ‘Newtonian Style’

International Studies in the Philosophy of Science, 2005

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 method proceeds differently from the hypothetical-deductive method. In the constructive part I argue for my own account, which is model based: it focuses on how Newton constructed his models in Book I of the Principia. I will show that Newton understood Book I as an exercise in determining the mathematical consequences of certain force functions. The growing complexity of Newton's models is a result of exploring increasingly complex force functions (intra-theoretical dynamics) rather than a successive comparison with nature (extra-theoretical dynamics). Nature did not enter the scene here. This intra-theoretical dynamics is related to the 'autonomy of the models'. Steffen Ducheyne is research assistant of the Funds for Scientific Research (Flanders), and is working on a Ph.D. dissertation with the Centre for Logic and Philosophy of Science in Ghent (Belgium).

The Universal Law of Gravitation and Newton's Scientific Method

Interpreting Newton, 2012

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When Everything hinges On Gravitation

2010

Newton's basic ideas developed and evolved throughout his career and changed in sometimes surprisingly profound ways. In this paper I propose an outline of the evolution of Newton's conceptual framework by following the development of his ideas throughout the early work preceding the first edition of the Principia, and thus to complete the work that has been done by Whiteside and Ruffner with respect to Newton's mechanics. I shall show that these evolutions - the mechanical and the metaphysical - are closely interrelated. My focus will be on a key text that marks a turning point both from the metaphysical and the methodological point of view: the "De gravitatione et aequipondio fluidorum". Rather than looking upon it as an isolated fact, I establish the connections of this text to other manuscripts from the same period, primarily the manuscript "Elements of Mechanicks" in the Hall & Hall edition, as well as the two variants of the "De Motu", to which it can be said to relate as to a "zero release".

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