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# ðŸ“™ The Metaphysics of the Pythagorean Theorem. Thales, Pythagoras, Engineering, Diagrams, and the Construction of the Cosmos out of Right Triangles by Robert Hahn â€” pdf free

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Explores Thalesâ€™s speculative philosophy through a study of geometrical diagrams.

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 Platoâ€™s Timaeus. Uncovering the philosophical motivation behind the discovery of the theorem, Hahnâ€™s book will enrich the study of ancient philosophy and mathematics alike.

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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 Platoâ€™s Timaeus. Uncovering the philosophical motivation behind the discovery of the theorem, Hahnâ€™s book will enrich the study of ancient philosophy and mathematics alike.

- Author:
**Robert Hahn** - Year:
**2017** - Publisher:
**SUNY Press** - Language:
**English** - ISBN:

- File size:
**9 517 926** - Format:
**pdf**

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By any measure, the Pythagorean theorem is the most famous statement in all of mathematics, one remembered from high school geometry class by even the most math-phobic students. Well over four hundred proofs are known to exist, including ones by a twelve-...

By any measure, the Pythagorean theorem is the most famous statement in all of mathematics, one remembered from high school geometry class by even the most math-phobic students. Well over four hundred proofs are known to exist, including ones by a twelve-...

The enthralling story of Pythagoras and the Pythagoreans, whose insights transformed the ancient world and still inspire the realms of science, mathematics, philosophy, and the arts.Â "Pythagoras's influence on the ideas, and therefore on the destiny, of t...

The title is metaphorical in nature rather than literal, as the authors are well aware that Pythagoras was a Greek whose life spanned the century 500 B. C. and who never left the Mediterranean area. Their point is that a great deal of mathematics that has...

ABOUT THE COURSEPhysics2000 is a college level introductory physics course that begins with special relativity, ends with quantum mechanics, and in-between covers the usual topics with a 20th century focus. This approach eliminates the great divide betwee...

This quick-reference dictionary for math students, teachers, engineers, and statisticians defines more than 700 terms related to algebra, geometry, analytic geometry, trigonometry, probability, statistics, logic, and calculus. It also lists and defines m...

This quick-reference dictionary for math students, teachers, engineers, and statisticians defines more than 700 terms related to algebra, geometry, analytic geometry, trigonometry, probability, statistics, logic, and calculus. It also lists and defines m...

An explanation of the technical terms used in automotive engineering. Diagrams illustrate some of the more complex items, and a separate list of acronyms and initials is provided. The terms included range from formal terminology to vernacular, both Britis...

Learning Modern Algebra aligns with the CBMS Mathematical Education of Teachers II recommendations, in both content and practice. It emphasizes rings and fields over groups, and it makes explicit connections between the ideas of abstract algebra and the m...

This book asks three fundamental questions about the socialist experiment in twentieth-century Russia: How did Marxist ideas come to be implemented in Russia, a country entirely unsuited to them? Why did the experiment lead to such suffering and upheaval ...

A collection of new, scholarly articles on the Jewish Workers' Bund - the first modern Jewish political party in Eastern Europe - written by prominent academics from eight countries. This work represents a broad range of perspectives, Jewish and non-Jewis...

Node.js is changing the way web apps are built. As Node.js apps are written in JavaScript, you can quickly and simply use your front-end skills to develop staggeringly fast, scalable real-time web applications. Plus discover how to use Twitter Bootstrap,...