The General Principle of Relativity : in Its Philosophical And Historical Aspect
The General Principle of Relativity : in Its Philosophical And Historical Aspect
Herbert Wildon Carr
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The 70 PRINCIPLE OF RELATIVITY figures we construct and study in geometry circles, squares, triangles, cubes, spheres are measurements and constructions of the extension which moves with the earth, not of a supposed vacuum independent of that movement and indifferent to it. Endless complexities and con- tradictions, actual as well as logical, arise if we attempt to interpret geometry in terms of vacuum. We say, for example, that moving is the opposite of resting. Now suppose that, following the... common notion, we define movement as change of place, and rest as remaining in the same place, then we see at once that for anything on the earth to be at rest, it must be parting company with the earth at a prodigious velocity. Descartes had therefore the choice of two alternatives. Either extension is an attribute of material substance and accompanies it in all its changes, or it is vacuum existing independently of substance. If he chose the latter he must sacrifice geometry, for no means exist of measuring vacuum.
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