Leibnizian Relationalism and the Problem of Inertia

Canadian Journal of Philosophy 17 (2):437 - 447 (1987)
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Abstract

I consider the contrast between Leibniz's relational concept of spacetime and Einstein's special and general theories of relativity. I suggest that there are two interpretations of Leibniz's view, which I call L1 and L2. L1 amounts to saying that there is no real inertial structure to spacetime, whereas in general relativity the inertial structure is dynamical or real in Lande's sense ; i.e., it can be ‘kicked’ and ‘kicks back,’ causing gravitational effects. If there is no real inertial structure to space-time then, as Weyl points out, the concept of the relative motive of several bodies has no more foundation than the concept of absolute motion for a single body. Thus, L1 seems to be untenable. L2 is a more sophisticated view which rejects the geometrical aspect of Newtonian space-time as a container for events, but accepts the existence of a real structure which determines the inertial properties of matter.

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References found in this work

The Leibniz-Clarke Correspondence.H. G. Alexander - 1956 - Philosophy 32 (123):365-366.
Philosophy of Mathematics and Natural Science.Hermann Weyl & Olaf Helmer - 1951 - British Journal for the Philosophy of Science 2 (7):257-260.
Philosophy of Mathematics and Natural Science.Stephen Toulmin - 1950 - Philosophical Review 59 (3):385.
Covariance, invariance, and the equivalence of frames.J. Earman - 1974 - Foundations of Physics 4 (2):267-289.

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