The metaphysics of the Pythagorean theorem :: Thales, Pythagoras, engineering, diagrams, and the construction of the cosmos out of right triangles /
Explores Thales'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 w...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Albany, NY :
State University of New York,
[2017]
|
| Schriftenreihe: | SUNY series in ancient Greek philosophy.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Explores Thales'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 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. |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781438464916 1438464916 |
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| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed May 4, 2017). | |
| 520 | |a Explores Thales'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 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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| author | Hahn, Robert, 1952- |
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| contents | Metaphysics, geometry, and the problems with diagrams -- The Pythagorean theorem: Euclid I.47 and VI. 31 -- Thales and geometry: Egypt, Miletus, and beyond -- Pythagoras and the famous theorems -- From the Pythagorean theorem to the construction of the cosmos out of right triangles. |
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| dewey-tens | 180 - Ancient, medieval, eastern philosophy |
| discipline | Philosophie |
| format | Electronic eBook |
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| indexdate | 2024-11-27T13:27:49Z |
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| language | English |
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| spelling | Hahn, Robert, 1952- author. The metaphysics of the Pythagorean theorem : Thales, Pythagoras, engineering, diagrams, and the construction of the cosmos out of right triangles / by Robert Hahn. Albany, NY : State University of New York, [2017] ©2017 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier SUNY series in ancient Greek philosophy Includes bibliographical references and index. Metaphysics, geometry, and the problems with diagrams -- The Pythagorean theorem: Euclid I.47 and VI. 31 -- Thales and geometry: Egypt, Miletus, and beyond -- Pythagoras and the famous theorems -- From the Pythagorean theorem to the construction of the cosmos out of right triangles. Online resource; title from PDF title page (EBSCO, viewed May 4, 2017). Explores Thales'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 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. Pythagoras. http://id.loc.gov/authorities/names/n80162846 Thales, approximately 634 B.C.-approximately 546 B.C. http://id.loc.gov/authorities/names/n86024245 Euclid. http://id.loc.gov/authorities/names/n50043341 Euclid fast Pythagoras fast https://id.oclc.org/worldcat/entity/E39PBJckPxdtKT4Tk8DbvkPbBP Thales, approximately 634 B.C.-approximately 546 B.C. fast https://id.oclc.org/worldcat/entity/E39PBJxcX7Tqrr7q8pp6fPtFrq Philosophy, Ancient. http://id.loc.gov/authorities/subjects/sh85100861 Mathematics, Greek. http://id.loc.gov/authorities/subjects/sh85082177 Pythagorean theorem. http://id.loc.gov/authorities/subjects/sh85109374 Philosophie ancienne. Mathématiques grecques. Théorème de Pythagore. PHILOSOPHY History & Surveys Ancient & Classical. bisacsh Mathematics, Greek fast Philosophy, Ancient fast Pythagorean theorem fast has work: The metaphysics of the Pythagorean theorem (Text) https://id.oclc.org/worldcat/entity/E39PCFrtbptPR8QyPDdw3YHPkP https://id.oclc.org/worldcat/ontology/hasWork SUNY series in ancient Greek philosophy. FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1513464 Volltext |
| spellingShingle | Hahn, Robert, 1952- The metaphysics of the Pythagorean theorem : Thales, Pythagoras, engineering, diagrams, and the construction of the cosmos out of right triangles / SUNY series in ancient Greek philosophy. Metaphysics, geometry, and the problems with diagrams -- The Pythagorean theorem: Euclid I.47 and VI. 31 -- Thales and geometry: Egypt, Miletus, and beyond -- Pythagoras and the famous theorems -- From the Pythagorean theorem to the construction of the cosmos out of right triangles. Pythagoras. http://id.loc.gov/authorities/names/n80162846 Thales, approximately 634 B.C.-approximately 546 B.C. http://id.loc.gov/authorities/names/n86024245 Euclid. http://id.loc.gov/authorities/names/n50043341 Euclid fast Pythagoras fast https://id.oclc.org/worldcat/entity/E39PBJckPxdtKT4Tk8DbvkPbBP Thales, approximately 634 B.C.-approximately 546 B.C. fast https://id.oclc.org/worldcat/entity/E39PBJxcX7Tqrr7q8pp6fPtFrq Philosophy, Ancient. http://id.loc.gov/authorities/subjects/sh85100861 Mathematics, Greek. http://id.loc.gov/authorities/subjects/sh85082177 Pythagorean theorem. http://id.loc.gov/authorities/subjects/sh85109374 Philosophie ancienne. Mathématiques grecques. Théorème de Pythagore. PHILOSOPHY History & Surveys Ancient & Classical. bisacsh Mathematics, Greek fast Philosophy, Ancient fast Pythagorean theorem fast |
| subject_GND | http://id.loc.gov/authorities/names/n80162846 http://id.loc.gov/authorities/names/n86024245 http://id.loc.gov/authorities/names/n50043341 http://id.loc.gov/authorities/subjects/sh85100861 http://id.loc.gov/authorities/subjects/sh85082177 http://id.loc.gov/authorities/subjects/sh85109374 |
| title | The metaphysics of the Pythagorean theorem : Thales, Pythagoras, engineering, diagrams, and the construction of the cosmos out of right triangles / |
| title_auth | The metaphysics of the Pythagorean theorem : Thales, Pythagoras, engineering, diagrams, and the construction of the cosmos out of right triangles / |
| title_exact_search | The metaphysics of the Pythagorean theorem : Thales, Pythagoras, engineering, diagrams, and the construction of the cosmos out of right triangles / |
| title_full | The metaphysics of the Pythagorean theorem : Thales, Pythagoras, engineering, diagrams, and the construction of the cosmos out of right triangles / by Robert Hahn. |
| title_fullStr | The metaphysics of the Pythagorean theorem : Thales, Pythagoras, engineering, diagrams, and the construction of the cosmos out of right triangles / by Robert Hahn. |
| title_full_unstemmed | The metaphysics of the Pythagorean theorem : Thales, Pythagoras, engineering, diagrams, and the construction of the cosmos out of right triangles / by Robert Hahn. |
| title_short | The metaphysics of the Pythagorean theorem : |
| title_sort | metaphysics of the pythagorean theorem thales pythagoras engineering diagrams and the construction of the cosmos out of right triangles |
| title_sub | Thales, Pythagoras, engineering, diagrams, and the construction of the cosmos out of right triangles / |
| topic | Pythagoras. http://id.loc.gov/authorities/names/n80162846 Thales, approximately 634 B.C.-approximately 546 B.C. http://id.loc.gov/authorities/names/n86024245 Euclid. http://id.loc.gov/authorities/names/n50043341 Euclid fast Pythagoras fast https://id.oclc.org/worldcat/entity/E39PBJckPxdtKT4Tk8DbvkPbBP Thales, approximately 634 B.C.-approximately 546 B.C. fast https://id.oclc.org/worldcat/entity/E39PBJxcX7Tqrr7q8pp6fPtFrq Philosophy, Ancient. http://id.loc.gov/authorities/subjects/sh85100861 Mathematics, Greek. http://id.loc.gov/authorities/subjects/sh85082177 Pythagorean theorem. http://id.loc.gov/authorities/subjects/sh85109374 Philosophie ancienne. Mathématiques grecques. Théorème de Pythagore. PHILOSOPHY History & Surveys Ancient & Classical. bisacsh Mathematics, Greek fast Philosophy, Ancient fast Pythagorean theorem fast |
| topic_facet | Pythagoras. Thales, approximately 634 B.C.-approximately 546 B.C. Euclid. Euclid Pythagoras Philosophy, Ancient. Mathematics, Greek. Pythagorean theorem. Philosophie ancienne. Mathématiques grecques. Théorème de Pythagore. PHILOSOPHY History & Surveys Ancient & Classical. Mathematics, Greek Philosophy, Ancient Pythagorean theorem |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1513464 |
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