Plato's New Measure: The 'Indeterminate Dyad'

Plato's New Measure: The 'Indeterminate Dyad'

by A. David


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Plato's New Measure: The 'Indeterminate Dyad' by A. David

The riddle of the Indeterminate Dyad has long puzzled students of Plato, starting right with Aristotle. Plato himself never used the term in his extant writings. Yet it is considered to be a key part of his esoteric teachings. Aristotle himself, however, cannot seem to make sense of it. So the riddle dates back to the very beginning. It is solved in this study. The dyad turns out to be a simple algorithm with important implications for number theory, the theory of the number-line, and the foundations of the modern calculus.

The book begins with a new interpretation of the notorious geometry lesson of Theodorus ('Theaetetus' 147c-148b). Unlike previous attempts at a solution, it is rooted in the fine detail of Plato's Greek prose, and relies solely on Pythagorean techniques known to be contemporary to the protagonists. The 'Theaetetus', 'Sophist', 'Statesman' and 'Philebus' are shown to be informed by a particular geometrical paradigm-not some sort of esoteric code to the argument, but an underlying pattern that manifests itself in various ways to give shape to Plato's art.

Product Details

ISBN-13: 9781466383982
Publisher: CreateSpace Publishing
Publication date: 10/11/2011
Pages: 166
Product dimensions: 6.00(w) x 9.00(h) x 0.35(d)

About the Author

A. P. David received his doctorate from the Committee on Social Thought at the University of Chicago. He read Plato in Greek with Arthur W. H. Adkins for ten years. He read a variety of Greek poetry and prose with David Grene. He also studied linguistics. His book, 'The Dance of the Muses: Choral Theory and Ancient Greek Poetics', was published by Oxford in 2006. A website with audio samples of Homeric recitation and video of danced reconstructions of ancient Greek choruses can be found at David has taught widely in the liberal arts in his career, as a lecturer in the Basic Program at Chicago, a tutor at St. John's College, and a professor at ECLA Berlin. He is branching out into writing fiction (he has two pieces at Createspace, '"I Am A Forgotten Man": Yuri's Odyssey', and 'The Tale of the Pig Man, or Waking Up'). He also composes poetry and a volume is forthcoming. David is married and lives in Austin, Texas.

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