Independent Axioms for Minkowski Space-Time

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CRC Press, Oct 8, 1997 - Science - 256 pages
The primary aim of this monograph is to clarify the undefined primitive concepts and the axioms which form the basis of Einstein's theory of special relativity. Minkowski space-time is developed from a set of independent axioms, stated in terms of a single relation of betweenness. It is shown that all models are isomorphic to the usual coordinate model, and the axioms are consistent relative to the reals.
 

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Contents

Appendices
8
Existence and properties of collinear sets
53
Paths and optical lines in a collinear set
78
Theory of parallels
113
Onedimensional kinematics
144
Threedimensional theorems
154
Standard model of Minkowski spacetime
179
Independence models
194
Veblens axioms for an ordered geometry
212
Alternative axiom systems
215
Open questions
222
Notes to the chapters
225
Index of Notation
231
References
233
Index
240

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