Euclid's Parallel Postulate: Its Nature, Validity, and Place in Geometrical Systems: Thesis Presented to the Philosophical Faculty of Yale University ... of Doctor of Philosophy (Classic Reprint) - Hardcover
Synopsis
A rigorous study of Euclid’s parallel postulate, its empirical basis, and its role in different geometric systems.
This book examines how perceptions of space and direction influence the understanding of parallel lines, and it places the postulate within a broader historical and philosophical context.
- Traces the roots of Euclidean geometry to everyday measurements and crafts from ancient civilizations.
- Explains how the idea of direction and straightness affects the definition and perception of parallel lines.
- Explores the debate over whether the parallel postulate is an empirical fact or a necessary axiom.
- Surveys a wide range of mathematical and philosophical sources to show how non-Euclidean geometries arose and evolved.
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Euclid's Parallel Postulate
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