Archytas of Tarentum: Pythagorean, Philosopher and Mathematician KingCambridge University Press, 23 mag 2005 - 665 pagine Archytas of Tarentum is one of the three most important philosophers in the Pythagorean tradition, a prominent mathematician, who gave the first solution to the famous problem of doubling the cube, an important music theorist, and the leader of a powerful Greek city-state. He is famous for sending a trireme to rescue Plato from the clutches of the tyrant of Syracuse, Dionysius II, in 361 BC. This 2005 study was the first extensive enquiry into Archytas' work in any language. It contains original texts, English translations and a commentary for all the fragments of his writings and for all testimonia concerning his life and work. In addition there are introductory essays on Archytas' life and writings, his philosophy, and the question of authenticity. Carl A. Huffman presents an interpretation of Archytas' significance both for the Pythagorean tradition and also for fourth-century Greek thought, including the philosophies of Plato and Aristotle. |
Sommario
3 | |
The philosophy of Archytas | 44 |
The authenticity question | 91 |
Fragment 1 | 103 |
Fragment 2 | 162 |
Testimonia for Archytas life writings | 255 |
Moral philosophy and character | 283 |
The duplication of the cube A14 and A15 | 342 |
Metaphysics | 483 |
Physics | 508 |
Miscellaneous testimonia | 570 |
Spurious writings and testimonia | 595 |
Archytas name | 619 |
638 | |
651 | |
Music | 402 |
Altre edizioni - Visualizza tutto
Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King Carl Huffman Anteprima non disponibile - 2005 |
Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King Carl Huffman Anteprima non disponibile - 2010 |
Parole e frasi comuni
anecdote appears Archytas of Tarentum argues argument Aristotle Aristotle's Aristoxenus arithmetic assertion astronomy Athenaeus authenticity Blass Burkert calculation Cicero clear clearly commentary concords connection context cube definitions Democritus Diogenes Diogenes Laertius Dionysius discussion Doric doubling the cube Düring equality Eratosthenes Eudemus Eurytus evidence fifth fourth century Fragment geometry Greek harmonic Hippasus Hippocrates Iamblichus interval later lines logistic manuscripts mathematical mean mechanics motion nature Nicomachus octave parallel passage Philolaus philosophical pitch Plato pleasure pleonexia Plutarch Polyarchus Porphyry predecessors presented problem proof proportion pseudo-Pythagorean Ptolemy Pythagoras Pythagorean quotation ratios reference Republic says sciences seems sense Socrates solution sound stereometry Stobaeus suggests that Archytas superparticular superparticular ratio testimonium tetrachord theory things Timaeus tradition treatise Ἀρχύτας γὰρ δὲ διὰ εἰς ἐκ ἐν ἐπὶ καὶ μὲν οἱ ὅτι περὶ πρὸς τὰ τε τὴν τῆς τὸ τοῖς τὸν τοῦ τοὺς τῷ τῶν ὡς
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