Oxford University Press (1989)

Authors
Dominic O'Meara
Université de Fribourg
Abstract
The Pythagorean idea that numbers are the key to understanding reality inspired philosophers in late Antiquity (4th and 5th centuries A.D.) to develop theories in physics and metaphysics based on mathematical models. This book draws on some newly discovered evidence, including fragments of Iamblichus's On Pythagoreanism, to examine these early theories and trace their influence on later Neoplatonists (particularly Proclus and Syrianus) and on medieval and early modern philosophy.
Keywords Pythagoras and Pythagorean school  Mathematics History
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Reprint years 1990
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Call number B243.O46 1989
ISBN(s) 0198239130   0198244851   9780198239130
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Chapters BETA
On Pythagoreanism V–VII: The Excerpts in Michael Psellus

It is shown that extracts from books V, VI, and VII of Iamblichus's work On Pythagoreanism are to be found in the work of the Byzantine philosopher Michael Psellos. The contents of these lost books are reconstructed from Psellos's extracts: they concern number as applied in physics, in eth... see more

Syrianus

Plutarch of Athens's successor, Syrianus, held views on the history of philosophy, in particular, concerning Pythagoras's place in that history, similar to those of Iamblichus and Hierocles. These views as reflected in Hermias's commentary on Plato's Phaedrus, are described, as is Syrianus... see more

Mathematics and Metaphysics in Proclus

Proclus's use of geometry in developing a science of metaphysics (called ‘dialectic’ or ‘theology’), in its method and conclusions, is described through a study of his Elements of Theology and of his other major metaphysical works.

Conclusion

The conclusion summarizes the main points established in the book concerning Iamblichus’ contribution to the development of Neoplatonism and to the emergence of a philosophy of mathematics and a mathematizing physics and metaphysics that are found in Proclus and that would be of considerab... see more

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Citations of this work BETA

Newton and Proclus: Geometry, Imagination, and Knowing Space.Mary Domski - 2012 - Southern Journal of Philosophy 50 (3):389-413.
Proclus.Christoph Helmig - forthcoming - Stanford Encyclopedia of Philosophy.

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