Pythagoras revived: mathematics and philosophy in late antiquity

Abstract

Part 1 The revival of in the Neoplatonic school: varieties of 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 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 in the Athenian school: Hierocles - the introduction of Iamblichean philosophy at Athens in the 4th century, Hierocles on the history of philosophy, in Hierocles' Commentary on the Golden 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 Prol. I, Proclus' revisions of Iamblichus, arithmetic and (or?) geometry, the composition of On 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.