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Lore and Science in Ancient Pythagoreanism

Lore and Science in Ancient Pythagoreanism
Author: Walter Burkert
Publisher: Harvard University Press
Total Pages: 552
Release: 1972
Genre: Fiction
ISBN: 9780674539181

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For this first English edition of his distinguished study of Pythagoreanism, Weisheit und Wissenschajt: Studien zu Pythagoras, Philolaos, und Platon, Walter Burkert has carefully revised text and notes, taking account of additional literature on the subject which appeared between 1962 and 1969. By a thorough critical sifting of all the available evidence, the author lays a new foundation for the understanding of ancient Pythagoreanism and in particular of the relationship within it of "lore" and "science." He shows that in the twilight zone when the Greeks were discovering the rational interpretation of the world and quantitative natural science, Pythagoras represented not the origin of the new, but the survival or revival of ancient, pre-scientific lore or wisdom, based on superhuman authority and expressed in ritual obligation.


Pythagoras and the Early Pythagoreans

Pythagoras and the Early Pythagoreans
Author: Leonid Zhmud
Publisher: Oxford University Press
Total Pages:
Release: 2012-05-31
Genre: History
ISBN: 0191626384

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Pythagoras (c. 570 - c. 495 BC), arguably the most influential thinker among the Presocratics, emerges in ancient tradition as a wise teacher, an outstanding mathematician, an influential politician, and as a religious and ethical reformer. He claimed to possess supernatural powers and was the kind of personality who attracted legends. In contrast to his controversial and elusive nature, the early Pythagoreans, such as the doctors Democedes and Alcmaeon, the Olympic victors Milon and Iccus, the botanist Menestor, the natural philosopher Hippon, and the mathematicians Hippasus and Theodorus, all appear in our sources as 'rational' as they can possibly be. It was this 'normality' that ensured the continued existence of Pythagoreanism as a philosophical and scientific school till c. 350 BC. This volume offers a comprehensive study of Pythagoras and the early Pythagoreans through an analysis of the many representations of the Teacher and his followers, allowing the representations to complement and critique each other. Relying predominantly on sources dating back to before 300 BC, Zhmud portrays a more historical picture of Pythagoras, of the society founded by him, and of its religion than is known from the late antique biographies. In chapters devoted to mathematical and natural sciences cultivated by the Pythagoreans and to their philosophies, a critical distinction is made between the theories of individual figures and a generalized 'all-Pythagorean teaching', which is known from Aristotle.


A History of Pythagoreanism

A History of Pythagoreanism
Author: Carl A. Huffman
Publisher: Cambridge University Press
Total Pages: 659
Release: 2014-04-24
Genre: Philosophy
ISBN: 1139915983

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This is a comprehensive, authoritative and innovative account of Pythagoras and Pythagoreanism, one of the most enigmatic and influential philosophies in the West. In twenty-one chapters covering a timespan from the sixth century BC to the seventeenth century AD, leading scholars construct a number of different images of Pythagoras and his community, assessing current scholarship and offering new answers to central problems. Chapters are devoted to the early Pythagoreans, and the full breadth of Pythagorean thought is explored including politics, religion, music theory, science, mathematics and magic. Separate chapters consider Pythagoreanism in Plato, Aristotle, the Peripatetics and the later Academic tradition, while others describe Pythagoreanism in the historical tradition, in Rome and in the pseudo-Pythagorean writings. The three great lives of Pythagoras by Diogenes Laertius, Porphyry and Iamblichus are also discussed in detail, as is the significance of Pythagoras for the Middle Ages and Renaissance.


Pythagoras and the Pythagoreans

Pythagoras and the Pythagoreans
Author: Charles H. Kahn
Publisher: Hackett Publishing
Total Pages: 209
Release: 2001-09-30
Genre: Philosophy
ISBN: 1603846824

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A fascinating portrait of the Pythagorean tradition, including a substantial account of the Neo-Pythagorean revival, and ending with Johannes Kepler on the threshold of modernism.


Brill's Companion to the Reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance

Brill's Companion to the Reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance
Author: Irene Caiazzo
Publisher: BRILL
Total Pages: 512
Release: 2021-11-22
Genre: Philosophy
ISBN: 9004499466

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For the first time, the reader can have a synoptic view of the reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance, East and West, in a multicultural perspective. All the major themes of Pythagoreanism are addressed, from mathematics, number philosophy and metaphysics to ethics and religious thought.


Plato and Pythagoreanism

Plato and Pythagoreanism
Author: Phillip Sidney Horky
Publisher: Oxford University Press
Total Pages: 328
Release: 2016
Genre: History
ISBN: 0190465700

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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.


The Pythagorean Golden Verses

The Pythagorean Golden Verses
Author: Johan C. Thom
Publisher: BRILL
Total Pages: 294
Release: 2015-08-27
Genre: History
ISBN: 9004295844

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This book is a commentary on the Pythagorean Golden Verses, a neglected, but once very popular poem of the Hellenistic period. The goal of the poem is to introduce its readers to the basic moral, religious and philosophical doctrines of the Pythagorean sect and to guide them to spiritual maturity. The first part of the book treats still unresolved introductory matters such as the date, authorship, genre, composition, and the historical locus of the poem. This is followed by a text with translation on facing pages, and a detailed commentary containing a wealth of comparative material from the Greco-Roman period, including early Christianity and Judaism. Particularly valuable are the extensive discussions of the moral topoi and religious themes encountered in the poem.


Reader's Guide to the History of Science

Reader's Guide to the History of Science
Author: Arne Hessenbruch
Publisher: Routledge
Total Pages: 986
Release: 2013-12-16
Genre: History
ISBN: 1134263015

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The Reader's Guide to the History of Science looks at the literature of science in some 550 entries on individuals (Einstein), institutions and disciplines (Mathematics), general themes (Romantic Science) and central concepts (Paradigm and Fact). The history of science is construed widely to include the history of medicine and technology as is reflected in the range of disciplines from which the international team of 200 contributors are drawn.


Pythagoras

Pythagoras
Author: Christoph Riedweg
Publisher: Cornell University Press
Total Pages: 199
Release: 2012-03-27
Genre: Biography & Autobiography
ISBN: 0801464846

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One of the most important mathematical theorems is named after Pythagoras of Samos, but this semi-mythical Greek sage has more to offer than formulas. He is said to have discovered the numerical nature of the basic consonances and transposed the musical proportions to the cosmos, postulating a "harmony of the spheres." He may have coined the words "cosmos" and "philosophy." He is also believed to have taught the doctrine of transmigration of souls and therefore to have advised a vegetarian diet. Ancient legends have Pythagoras conversing with dogs, bears, and bulls. A distinctly Pythagorean way of life, including detailed ritual regulations, was observed by his disciples, who were organized as a secret society. Later, Pythagorean and Platonic teachings became fused. In this Platonized form, Pythagoreanism has remained influential through medieval Christianity and the Renaissance down to the present. Christoph Riedweg's book is an engaging introduction to the fundamental contributions of Pythagoras to the establishment of European culture. To penetrate the intricate maze of lore and ascertain what history can tell us about the philosopher, Riedweg not only examines the written record but also considers Pythagoras within the cultural, intellectual, and spiritual context of his times. The result is a vivid overview of the life and teachings of a crucial Greek thinker and his most important followers.