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By Dominic J. O'Meara
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Synopsis:
The Pythagorean concept that quantity is the foremost to figuring out truth encouraged philosophers within the fourth and 5th centuries to improve theories in physics and metaphysics utilizing mathematical versions. those theories have been to develop into influential in medieval and early smooth philosophy, but beforehand, they've got no longer obtained the intense recognition they deserve. This e-book marks a leap forward in our figuring out of the topic by way of studying issues in conjunction for the 1st time: the determine of Pythagoras as interpreted by means of the Neoplatonist philosophers of the interval, and using mathematical rules in physics and metaphysics.
Contents:
Introduction
Part I The Revival Of Pythagoreanism within the Neoplatonic School
1.Varieties of Pythagoreanism within the moment and 3rd Centuries AD
1. Numenius of Apamea
2. Nicomachus of Gerasa
3. Anatolius
4. Porphyry
2. Iamblichus' paintings On Pythagoreanism: name, Plan, the 1st 4 Books
1. The identify and total Plan
2. Pythagoras (Book I: at the Pythagorean Life)
3. Pythagorean Philosophy (Book II: the Protreptic)
4. Pythagorean Mathematical technological know-how (Book III: On common Mathematical Science)
5. mathematics (Book IV: On Nicomachus' Arithmetical Introduction)
3. On Pythagoreanism V – VII: The Excerpts in Michael Psellus
1. Michael Psellus, Philosophical Excerptor
2. Psellus' Excerpts from On Pythagoreanism V – VII
3. On Pythagoreanism V
(i) normal Plan
(ii) actual Number
(iii) Formal and fabric Causation
(iv) effective Causation
(v) Change
(vi) Place
(vii) The Void
(viii) end
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Extra info for Pythagoras Revived: Mathematics and Philosophy in Late Antiquity
Sample text
Include some glossing by a Neoplatonic editor of material which is however essentially Nicomachean; cf. Burkert (1972), 98, and above, n. 24. 53 See the decadic works listed above, n. 43. In an interesting passage quoted from Moderatus in Porphyry, Vit. Pyth. ch. 48, 58, 21 ff. (cf. above, n. 8), it seems Moderatus claimed that the Pythagoreans used the numbers of the decad διδασκαλίας χάϱιν, to convey higher, more difficult ideas, namely the Forms and first principles. This suggests that by the first century AD Pythagorean decadic literature had fallen into such disrepute that Moderatus felt obliged to defend it as being designed for simpler minds and as symbolic of higher realities.
8, 20 ff. (note πϱοσοχή here and in De abst. I ch. 39; Bouffartigue and Pataillon's introduction I 34–5). 85 Vit. Plot. 23, 20–1 (see Armstrong's note ad loc. ). I do not wish to deny that some of this may have been true of Plotinus. But what is significant for us here is what Porphyry chose to record and the way he recorded it. 86 Porphyry's breaking up and arrangement of Plotinus' treatises into six sets of nine (‘Enneads’) is the most striking example of his imposition of Pythagoreanism on Plotinus.
83 Vit. Plot. 2, 5 (note the implied contrast between corporeal and intellectual food that is important in De abst. ). 84 Vit. Plot. 8, 20 ff. (note πϱοσοχή here and in De abst. I ch. 39; Bouffartigue and Pataillon's introduction I 34–5). 85 Vit. Plot. 23, 20–1 (see Armstrong's note ad loc. ). I do not wish to deny that some of this may have been true of Plotinus. But what is significant for us here is what Porphyry chose to record and the way he recorded it. 86 Porphyry's breaking up and arrangement of Plotinus' treatises into six sets of nine (‘Enneads’) is the most striking example of his imposition of Pythagoreanism on Plotinus.