Efnisyfirlit

• Relativity: The Theory and its Philosophy
• Copyright Page
• Table of Contents
• Dedicated
• Preface
• List of Logical Symbols
• Chapter 1. Mathematical Preliminaries
• Sets, Relations, Functions
• N-tuples, Vectors, Matrices, and other Items
• A Trigonometric Digression
• Vector Algebra
• The Calculus
• Bibliography for Chapter 1
• Chapter 2. Relativity and Newtonian Mechanics
• The Concept of Relativity
• Elementary Foundations of Newtonian Mechanics
• The Principle of Classical Relativity
• Bibiliography for Chapter 2
• Chapter 3. The Principle of Special Relativity
• The Breakdown of Classical Relativity
• Relativistic Kinematics
• Four-Vector Formalism and Space-Time Geometry
• Relativistic Mechanics
• The Principle of Special Relativity
• Bibliography for Chapter 3
• Chapter 4. Empiricism, Rationalism and Special Relativity
• Relativity and the A Priori in the Philosophy of Eddington
• The Transcendentalism of J. R. Lucas
• The Radical Empiricism of Percy Bridgman
• The Liberalized Empiricism of the Logical Positivists
• Bibliography for Chapter 4
• Chapter 5. Special Relativity and Conventionalism
• The Conventionality of Simultaneity
• Bibliography for Chapter 5
• Chapter 6. The Commensurability of Classical and Relativistic Mechanics
• Bibliography for Chapter 6
• Chapter 7. More Mathematics
• Motivation
• Curvilinear Coordinates
• Tensors and their Algebra
• Tensor Calculus
• The Riemann-Christoffel Tensor
• Bibliography for Chapter 7
• Chapter 8. The Path to General Relativity
• The Classical Theory of Gravitation
• The Field-Theoretic Standpoint
• Mach’s Principle
• The Principle of Equivalence
• The Principle of General Covariance
• Bibliography for Chapter 8
• Chapter 9. An Outline of General Relativity
• Bibliography for Chapter 9
• Chapter 10. Relativity and Covariance
• Bibliography for Chapter 10
• Chapter 11. Spacetime and Geometry
• The Distinction Between Pure and Applied Mathematics
• The Geometric Conventionalism of Henri Poincaré
• The Geometric Empiricism of Hans Reichenbach
• Geochronometric Conventionalism
• A Critique of Geochronometric Conventionalism
• General Relativity and Space-time Structure
• The Ontology of Spacetime
• Bibliography for Chapter 11
• Index