Plato and Pythagoreanism
Plato and Pythagoreanism
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Abstract
Was Plato a Pythagorean? Plato's students and earliest critics thought so, but scholars since the nineteenth century have been more skeptical. This book argues that a specific type of Pythagorean philosophy, called “mathematical” Pythagoreanism, exercised a decisive influence on fundamental aspects of Plato's philosophy. The progenitor of mathematical Pythagoreanism was the infamous Pythagorean heretic and political revolutionary Hippasus of Metapontum, a student of Pythagoras who is credited with experiments in harmonics that led to innovations in mathematics. The innovations of Hippasus and other mathematical Pythagoreans, including Empedocles of Agrigentum, Epicharmus of Syracuse, Philolaus of Croton, and Archytas of Tarentum, presented philosophers like Plato with novel ways to reconcile empirical knowledge with abstract mathematical theories. This book demonstrates how mathematical Pythagoreanism established many of the fundamental philosophical questions Plato dealt with in his central dialogues, including Cratylus, Phaedo, Republic, Timaeus, and Philebus. In the process, it also illuminates the historical significance of the mathematical Pythagoreans, a group whose influence on the development of philosophical and scientific methods has been obscured since late antiquity. The picture that results is one in which Plato inherits mathematical Pythagorean method only to transform it into a powerful philosophical argument about the essential relationships between the cosmos and the human being.
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Front Matter
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1
Aristotle on Mathematical Pythagoreanism in the Fourth Century bce
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2
Hippasus of Metapontum and Mathematical Pythagoreanism
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3
Exoterism and the History of Pythagorean Politics
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4
Mathematical Pythagoreanism and Plato’s Cratylus
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5
What Is Wisest? Mathematical Pythagoreanism and Plato’s Phaedo
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6
The Method of the Gods: Mathematical Pythagoreanism and Discovery
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End Matter
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