Pythagoras Revived —— Mathematics and Philosophy in Late Antiquity

----- 毕达哥拉斯复活：晚期的数学与哲学

ISBN: 9780198239130 出版年：2004 页码：264 O'Meara, Dominic J Clarendon Press

Part 1 The revival of Pythagoreanism in the Neoplatonic school: varieties of Pythagoreanism in the 2nd and 3rd centuries AD - Numenius of Apamea, Nicomachus of Gerasa, Anatolius, Porphyry Iamblichus' work "On Pythagoreanism" - title, plan, the first four books - "On the Pythagorean Life", "Protreptic", "General Mathematical Science" and "On Nicomachus' Arithmetical Introduction" "On Pythagoreanism" books V-VII - the excerpts in Michael Psellus, philosophical excerptor Iamblichus' work "On Pythagoreanism" - general conclusions. Part 2 Iamblichean Pythagoreanism in the Athenian school: Hierocles - the introduction of Iamblichean philosophy at Athens in the 4th century, Hierocles on the history of philosophy, Pythagoreanism in Hierocles' "Commentary on the Golden Verses" Syrianus - the history of philosophy in Syrianus, philosophy as revelation in Hermias' "Commentary on the Phaedrus", mathematics and philosophy in Syrianus' "Commentary on the Metaphysics" Proclus - the rivalry with the mathematician Domninus of Larissa, Plato and Pythagoras Proclus on mathematics - Iamblichus' "On Pythagoreanism" III and Proclus' "On Euclid" Prol. I, Proclus' revisions of Iamblichus, arithmetic and (or?) geometry, the composition of "On Euclid" Prol. II, Euclid as Platonist mathematics and physics in Proclus - Aristotle's physics geometricized, Plato's "Timaeus" as "Pythagorean" physics, the geometrical method of Plato's physics mathematics and metaphysics in Proclus - the "Elements of Theology". Appendices: The Excerpts from Iamblichus' "On Pythagoreanism" V-VII in Psellus - text, translation and notes the Arabic commentaries on the Golden Verses attributed to Iamblichus and Proclus.