Model-theoretic Nature of the Laws of Motion in Newton's Principia
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概要
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It is a commonly accepted view that Newtonian mechanics presupposes inertial frames of reference where the laws of motion hold. In the present paper, however, I will show that Newton himself, who believed in absolute space, did not make use of absolute space or even so-called inertial frames in dealing with actual motions of actual bodies like satellites, planets, and others in Book III of the Principia, but the conception of reality of force was essential for him, and that, in terms of modern space-time theoreticians, the space-time Newton specified by real force was Maxwellian, not neo-Newtonian or Galilean. Hence, it will become evident that for Newton the laws of motion was not universal statements that can be verified or falsified, but the scheme that enables us to construct the real picture of the world, as the model-theoreticians of science view fundamental laws.
- 科学基礎論学会の論文
- 2000-11-25