The Metaphysics of the Pythagorean Theorem
Thales, Pythagoras, Engineering, Diagrams, and the Construction of the Cosmos out of Right Triangles
- 300 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
The Metaphysics of the Pythagorean Theorem
Thales, Pythagoras, Engineering, Diagrams, and the Construction of the Cosmos out of Right Triangles
About this book
Bringing together geometry and philosophy, this book undertakes a strikingly original study of the origins and significance of the Pythagorean theorem. Thales, whom Aristotle called the first philosopher and who was an older contemporary of Pythagoras, posited the principle of a unity from which all things come, and back into which they return upon dissolution. He held that all appearances are only alterations of this basic unity and there can be no change in the cosmos. Such an account requires some fundamental geometric figure out of which appearances are structured. Robert Hahn argues that Thales came to the conclusion that it was the right triangle: by recombination and repackaging, all alterations can be explained from that figure. This idea is central to what the discovery of the Pythagorean theorem could have meant to Thales and Pythagoras in the sixth century BCE. With more than two hundred illustrations and figures, Hahn provides a series of geometric proofs for this lost narrative, tracing it from Thales to Pythagoras and the Pythagoreans who followed, and then finally to Plato's Timaeus. Uncovering the philosophical motivation behind the discovery of the theorem, Hahn's book will enrich the study of ancient philosophy and mathematics alike.
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Information
Table of contents
- Cover
- Title
- Copyright
- Contents
- Preface
- Acknowledgments
- Introduction Metaphysics, Geometry, and the Problems with Diagrams
- Chapter 1 The Pythagorean Theorem: Euclid I.47 and VI.31
- Chapter 2 Thales and Geometry: Egypt, Miletus, and Beyond
- Chapter 3 Pythagoras and the Famous Theorems
- Chapter 4 Epilogue: From the Pythagorean Theorem to the Construction of the Cosmos Out of Right Triangles
- Notes
- Bibliography
- Image Credits
- Index
- Back Cover