Oxford University Press (1989)
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| 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.
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| Keywords | Pythagoras and Pythagorean school Mathematics History |
| Categories | (categorize this paper) |
| Reprint years | 1990 |
| Buy this book | $52.49 new Amazon page |
| 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
Logic of Imagination. Echoes of Cartesian Epistemology in Contemporary Philosophy of Mathematics and Beyond.David Rabouin - 2018 - Synthese 195 (11):4751-4783.
Newton and Proclus: Geometry, Imagination, and Knowing Space.Mary Domski - 2012 - Southern Journal of Philosophy 50 (3):389-413.
Geometrical First Principles in Proclus’ Commentary on the First Book of Euclid’s Elements.D. Gregory MacIsaac - 2014 - Phronesis 59 (1):44-98.
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