By P. W Bridgman

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He grants that this definition of simultaneity is based upon certain suppositions, but 8 36 Foucault’s pendulum is, of course, very clearly explained from the standpoint of the theory of relativity: the pendulum, lined up with the North Pole of the Earth, would from the Earth’s perspective also change its plane if the Earth is assumed to be at rest and the fixed stars rotate about it. ” Reply to H. Dingler’s Critique he formulates the necessary axiom very unclearly and then asserts that it is also assumed by the theory of relativity.

Indeed, the semicircle experiment could be performed to see which result is obtained. Admittedly, the result would be very inaccurate, and science would thereby prefer another method of demonstration; but the described thought experiment should show that we are in a situation where, in principle, the validity of geometry is a matter of empirical determination. And we can now say, based upon very precise astronomical measurements, that Euclidean geometry no longer applies, that wherever the forces of gravitation occur we will obtain measurements like those in the second mentioned case.

When A is synchronized with B, B is synchronized with A. Axiom IV. 2 Only now can we deduce that all clocks that are adjusted according to definition 5 are also synchronized with respect to each other, that the defined synchronization is not merely symmetric but also transitive. ”) Herein lies the most preferable aspect of Einstein’s theory of time. It can be derived solely from the basic empirical facts in axioms II, III, IV. 3. Metrical axiom. We define straight lines via light rays and congruence through: Definition 6.