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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Inside This Book
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First Sentence:
The main purpose of describing a theory axiomatically is to clarify the basic concepts of the theory and the assumptions on which it is based. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
collinearity theorem, modified signal functions, compact collinear, furthest event, unreachable subset, path isomorphism, causality theorem, unreachable set, present axiomatic system, collinear set, temporal order relation, undefined basis, lightlike lines, betweenness relation, squared interval, closest bound, spacelike lines, crossing theorem, closest event, timelike lines, dyadic numbers, absolute geometry, independent axioms, containment property, invariant path Key Phrases - Capitalized Phrases (CAPs): (learn more)
Optical Line Theorem, Second Existence Theorem, Intermediate Path Theorem, Reflection Mapping Theorem, Third Existence Theorem, Continuity Theorem, Prolongation Theorem, Signal Function Inequalities, Remark See Figure, Signal Function Inequality, Proof Let New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The main purpose of describing a theory axiomatically is to clarify the basic concepts of the theory and the assumptions on which it is based. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
collinearity theorem, modified signal functions, compact collinear, furthest event, unreachable subset, path isomorphism, causality theorem, unreachable set, present axiomatic system, collinear set, temporal order relation, undefined basis, lightlike lines, betweenness relation, squared interval, closest bound, spacelike lines, crossing theorem, closest event, timelike lines, dyadic numbers, absolute geometry, independent axioms, containment property, invariant path Key Phrases - Capitalized Phrases (CAPs): (learn more)
Optical Line Theorem, Second Existence Theorem, Intermediate Path Theorem, Reflection Mapping Theorem, Third Existence Theorem, Continuity Theorem, Prolongation Theorem, Signal Function Inequalities, Remark See Figure, Signal Function Inequality, Proof Let New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 4
books:
- Foundations of Geometry by David Hilbert in Back Matter (1), and Back Matter (2)
- Non-Euclidean Geometry (Mathematical Association of America Textbooks) by H. S. M. Coxeter in Back Matter
- Projective Geometry and Projective Metrics (Dover Books on Mathematics) by Herbert Busemann in Back Matter
- Space, Time, Matter (Dover Books on Physics) by Hermann Weyl in Back Matter
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