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of fundamental importance for geometry and especially for physical measurements, naturally arise from experience; in the theory of general relativity their validity needs to be assumed only for bodies and spaces of reference which are infinitely small compared to astronomical dimensions.
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The general theory of relativity, together with the necessary parts of the theory of invariants, is dealt with in the author’s book Die Grundlagen der allgemeinen Relativitätstheorie (The Foundations of the General Theory of Relativity) — Joh. Ambr. Barth, 1916; this book assumes some familiarity with the special theory of relativity. v
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Based on a review of these studies, and my own research on the role of the light-bending prediction in the reception of general relativity, I discuss the role of three kinds of reasons for accepting relativity: (1) empirical predictions and explanations; (2) social-psychological factors; and (3) aesthetic-mathematical factors.
The special relativity theory resulted in appreciable advances. It reconciled mechanics and electrodynamics. It reduced the number of logically inde-pendent hypotheses regarding the latter. It enforced the need for a clarifica-tion of the fundamental concepts in epistemological terms. It united the mo-
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Relativity. By A. Einstein.175-188 § 1. The Newtonian theoiy. § 2. The boundary conditions according to the general theory of relativity. § 3. The spatially finite universe. § 4. On an additional term for the field equations of gravitation. § 5. Calculation and result. X. Do . Gravitational Fields Play an Essential Part in the
The generalization of the theory of relativity has been facilitated considerably by Minkowski, a mathematician who was the first one to recognize the formal equivalence of space coordinates and the time coordinate, and utilized this in the
General relativity is the theory of space and time and gravity. The essence of the theory is simple: gravity is geometry. The effects that we attribute to the force of gravity are due to the bending and warping of spacetime, from falling cats, to orbiting spinning planets, to the motion of the cosmos on the grandest scale. The purpose of
