Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : sans médiation
Auteur(s) : Hahn, Robert (1952-....)
Titre(s) : The metaphysics of the Pythagorean theorem [Texte imprimé] : Thales, Pythagoras, engineering, diagrams, and the construction of the cosmos out of right triangles / Robert Hahn
Publication : Albany (N.Y.) : State University of New York press, copyright 2017
Description matérielle : 1 vol. (xvi-283 p.) ; 29 cm
Collection : SUNY series in Ancient Greek philosophy
Lien à la collection : SUNY series in Ancient Greek philosophy
Note(s) : Bibliogr. p. 263-269. Index
"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." -- Publisher's
description
Sujet(s) : Thalès de Milet (0625?-0547? av. J.-C.)
Pythagore (0580?-0500? av. J.-C.)
Euclide (0323-0285 av. J.-C.)
Philosophie antique
Philosophie des sciences
Mathématiques grecques
Géométrie
Identifiants, prix et caractéristiques : ISBN 9781438464893. - ISBN 1438464894. - ISBN 9781438464916 (erroné)
Identifiant de la notice : ark:/12148/cb45280774n
Notice n° :
FRBNF45280774
(notice reprise d'un réservoir extérieur)
Table des matières : 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.
