Pythagoras Revived: Mathematics and Philosophy in Late Antiquity

Pythagoras Revived: Mathematics and Philosophy in Late Antiquity

Dominic J. O'Meara


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Synopsis:
The Pythagorean concept that quantity is the main to realizing fact encouraged philosophers within the fourth and 5th centuries to increase theories in physics and metaphysics utilizing mathematical types. those theories have been to turn into influential in medieval and early sleek philosophy, but earlier, they've got now not bought the intense recognition they deserve. This ebook marks a step forward in our knowing of the topic by means of interpreting issues in conjunction for the 1st time: the determine of Pythagoras as interpreted through 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: identify, Plan, the 1st 4 Books
1. The name 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 basic 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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