Was Plato a Pythagorean? Plato's students and earliest critics thought so, but scholars since the nineteenth century have been more skeptical. With this probing study, Phillip Sidney Horky 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. Plato and Pythagoreanism 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.

University professor, psychotherapist and recovering former nightclub owner Dr. Nicholas Kardaras presents a mind blowing, reality rocking, and life changing approach to Greek philosophy. Having once owned celebrity-studded NY nightclubs where he had mingled with the likes of JFK, Jr., Uma Thurman and Tom Cruise, Kardaras would emerge from that glamorous-yet-self-destructive world to discover the powerful and transformative teachings of his ancient ancestors. To his amazement, he learned that ancient Greek philosophy, contrary to popular misconceptions, was not a dry and academic pursuit, but a vibrant and holistic transformative practice. In How Plato and Pythagoras Can Save You're your Life, Dr. Kardaras breathes new life into those ancient teachings as he incorporates some of the most cutting edge advances in the fields of quantum mechanics and consciousness research to validate the insights and wisdom of the ancient Greek sages. As he guides readers through an array of contemplative practices designed to help them live a more meaningful life, Kardaras warns the reader to be prepared because they just might also "catch a glimpse of that trippy realm called Ultimate Reality".

First Published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

Myth of Invariance explores the unifying symbolism of music and number so the reader can understand the secrets from Babylon, Egypt, Greece and the Bible - secrets hidden for centuries.

Bringing together geometry and philosophy, this book undertakes a strikingly original study of the origins and significance of the Pythagorean theorem. Thales, whom Aristotle called the first philosopher and who was an older contemporary of Pythagoras, posited the principle of a unity from which all things come, and back into which they return upon dissolution. He held that all appearances are only alterations of this basic unity and there can be no change in the cosmos. Such an account requires some fundamental geometric figure out of which appearances are structured. Robert Hahn argues that Thales came to the conclusion that it was the right triangle: by recombination and repackaging, all alterations can be explained from that figure. This idea is central to what the discovery of the Pythagorean theorem could have meant to Thales and Pythagoras in the sixth century BCE. With more than two hundred illustrations and figures, Hahn provides a series of geometric proofs for this lost narrative, tracing it from Thales to Pythagoras and the Pythagoreans who followed, and then finally to Plato's Timaeus. Uncovering the philosophical motivation behind the discovery of the theorem, Hahn's book will enrich the study of ancient philosophy and mathematics alike.