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The Philosophy of Space and Timeby Hans Reichenbach
Synopses & ReviewsPublisher Comments:With unusual depth and clarity, it covers the problem of the foundations of geometry, the theory of time, the theory and consequences of Einstein's relativity including: relations between theory and observations, coordinate definitions, relations between topological and metrical properties of space, the psychological problem of the possibility of a visual intuition of nonEuclidean structures, and many other important topics in modern science and philosophy. While some of the book utilizes mathematics of a somewhat advanced nature, the exposition is so careful and complete that most people familiar with the philosophy of science or some intermediate mathematics will understand the majority of the ideas and problems discussed. Partial CONTENTS: I. The Problem of Physical Geometry. Universal and Differential Forces. Visualization of Geometries. Spaces with nonEuclidean Topological Properties. Geometry as a Theory of Relations. II. The Difference between Space and Time. Simultaneity. Time Order. Unreal Sequences. Ill. The Problem of a Combined Theory of Space and Time. Construction of the SpaceTime Metric. Lorentz and Einstein Contractions. Addition Theorem of Velocities. Principle of Equivalence. Einstein's Concept of the Problems of Rotation and Gravitation. Gravitation and Geometry. Riemannian Spaces. The Singular Nature of Time. Spatial Dimensions. Reality of Space and Time. Synopsis:A clear, penetrating exposition of developments in physical science and mathematics brought about by nonEuclidean geometries, including indepth coverage of the foundations of geometry, theory of time, other topics. Synopsis:A clear, penetrating exposition of developments in physical science and mathematics brought about by nonEuclidean geometries, including indepth coverage of the foundations of geometry, theory of time, other topics. Table of ContentsPreface
Introduction Chapter I Space § 1. The axiom of the parallels and nonEuclidean geometry § 2. Riemannian geometry § 3. The problem of physical geometry § 4. Coordinative definitions § 5. Rigid bodies § 6. The distinction between universal and differential forces § 7. Technical impossibility and logical impossibility § 8. The relativity of geometry § 9. The visualization of Euclidean geometry § 10. The limits of visualization § 11. Visualization of nonEuclidean geometry § 12. Spaces with nonEuclidean topological properties § 13. Pure visualization § 14 Geometry as a theory of relations § 15. What is graphical representation? Chapter II Time § 16. The difference between space and time § 17. The uniformity of time § 18. Clocks used in practice § 19. Simultaneity § 20. Attempts to determine absolute simultaneity § 21. Time order § 22. The comparison of time § 23. Unreal sequences Chapter III Space an Time A. The SpaceTime Manifold without Gravitational Fields § 24. The problem of a combined theory of space and time § 25. The dependence of spatial measurement on the definition of simultaneity § 26. Consequences for a centrosymmetrical process of propagation § 27. The construction of the spacetime metric § 28. The indefinite spacetype § 29. The fourdimensional representation of the spacetime geometry § 30. The retardation of clocks § 31. The Lorentz contraction and the Einstein contraction § 32. The principle of the constancy of the velocity of light § 33. The addition theorem of velocities B. Gravitation Filled SpaceTime Manifolds § 34. The relativity of motion § 35. Motion as a problem of a coordinative definition § 36. The principle of equivalence § 37. Einstein's concept of gravitation § 38. The problem of rotation according to Einstein § 39. The analytic treatment of Riemannian spaces § 40. Gravitation and geometry § 41. Space and time in special gravitational fields § 42. Space and time in generall gravitational fields C. The Most General Properties of Space and Time § 43. The singular nature of time § 44. The number of dimensions of space § 45. The reality of space and time Index What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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