The Philosophy of Space and Time

The Philosophy of Space and Time

by Hans Reichenbach
     
 

A clear, penetrating exposition of developments in physical science and mathematics brought about by non-Euclidean geometries, including in-depth coverage of the foundations of geometry, theory of time, other topics.See more details below

Overview

A clear, penetrating exposition of developments in physical science and mathematics brought about by non-Euclidean geometries, including in-depth coverage of the foundations of geometry, theory of time, other topics.

Product Details

ISBN-13:
9780486604435
Publisher:
Dover Publications
Publication date:
06/01/1957
Series:
Dover Books on Physics Series
Pages:
295
Sales rank:
305,601
Product dimensions:
5.37(w) x 7.97(h) x 0.65(d)

Related Subjects

Table of Contents

Preface
Introduction
Chapter I Space
§ 1. The axiom of the parallels and non-Euclidean 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 non-Euclidean geometry
§ 12. Spaces with non-Euclidean 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 Space-Time 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 centro-symmetrical process of propagation
  § 27. The construction of the space-time metric
  § 28. The indefinite space-type
  § 29. The four-dimensional representation of the space-time 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 Space-Time 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

Read More

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >