Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King
Cambridge University Press, 23 mag 2005
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.
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The philosophy of Archytas
The authenticity question
Testimonia for Archytas life writings
Moral philosophy and character
The duplication of the cube A14 and A15
anecdote appears Archytas of Tarentum argues argument Aristotle Aristotle's Aristoxenus arithmetic assertion astronomy Athenaeus authenticity Barker Blass bodily pleasure Boethius Burkert calculation Cicero clapper clear clearly commentary concords connection context cube definitions Delian Democritus described Diogenes Diogenes Laertius Dionysius discovery discussion distinctions Doric doubling the cube equality Eratosthenes Eudemus Eudoxus Eurytus evidence example fifth fourth century Fragment geometry Greek harmonic Hippasus Hippocrates Iamblichus interval later lines logistic manuscripts mathematical mechanics motion nature Nicomachus octave parallel passage Philolaus philosophical pitch Plato pleonexia Plutarch Polyarchus Porphyry Porphyry's predecessors presented problem proof pseudo-Pythagorean Ptolemy Pythagoras Pythagorean quotation quotes ratios reason reference Republic says sciences seems sense Seventh Letter similar Socrates solution sound speech stereometry Stobaeus suggests that Archytas superparticular superparticular ratio suppose TCOV testimonium tetrachord theory Thesleff things Timaeus tradition treatise TrEpi TTEpi verb visual ray