Weisheit und Wissenschaft: Studien zu Pythagoras, Philolaos und Platon. Lore and science in ancient Pythagoreanism ... Translated by Edwin L. Minar, Jr

PDF+Paginated+OCR+Table of contents For the first English edition of his distinguished study, Weisheit und Wissenschaft: Studien zu Pythagoras, Philoloas und Platon, Mr. Burkert has extensively revised both text and notes, taking into account additional literature that has appeared since 1962. Introduction ......Page 8 1. The Platonic Theory of Ideal Numbers ......Page 22 2. The Philosophy of the Pythagoreans according to Aristotle ......Page 35 3. The Later Non-Aristotelian Tradition and Its Sources, Speusippus, Xenocrates, and Heraclides Ponticus ......Page 60 4. Pythagoreanism in Plato and the Origin in Platonism of the Pythagorean Tradition ......Page 90 1. Source Problems ......Page 104 2. Historical Background ......Page 116 3. Metempsychosis and "Shamanism" ......Page 127 4. Acusmata ......Page 173 5. Acusmatici and Mathematici ......Page 199 6. Early Evidence for Pythagoras as a Scientist? ......Page 215 1. The Special Position of Philolaus' Book in the Pythagorean Tradition ......Page 225 2. The Spurious and the Genuine in the Philolaus Fragments ......Page 245 3. Reflections of Pythagorean Philosophy in the Fifth Century B.C.? ......Page 284 1. The Structure of the World and the Planetary System ......Page 306 2. The Theory of Planetary Movements ......Page 329 3. The Cosmos of Philolaus ......Page 344 4. Harmony of the Spheres and Astral Immortality ......Page 357 1. Speculation, Experimentation, and Fiction ......Page 376 2. Number Symbolism and Calculation of Proportions in Philolaus ......Page 393 1. Did the Pythagoreans Lay the Foundations of Greek Mathematics?- ......Page 408 2. Pythagorean Arithmetic ......Page 434 3. Pythagorean Geometry and Mathematical Secrets ......Page 454 4. Number and Cosmos ......Page 472 Abbreviations ......Page 492 Bibliography ......Page 500 Greek Words Discussed ......Page 516 Index of Passages ......Page 517 General Index ......Page 535 I. Platonic And Pythagorean Number Theory. -- 1. The Platonic Theory Of Ideal Numbers -- 2. The Philosophy Of The Pythagoreans According To Aristotle -- 3. The Later Non-aristotelian Tradition And Its Sources, Speusippus, Xenocrates, And Heraclides Ponticus -- 4. Pythagoreanism In Plato And The Origin In Platonism Of The Pythagorean Tradition -- Ii. Pythagoras In The Earlist Tradition. -- 1. Source Problems -- 2. Historical Background -- 3. Metemphychosis And Shamanism -- 4. Acusmata -- 5. Acusmatici And Mathematici -- 6. Early Evidence For Pythagoras As A Scientist? -- Iii. Philolaus. -- 1. The Special Position Of Philolaus' Book In The Pythagorean Tradition -- 2. The Spurious And The Genuine In The Philolaus Fragments -- 3. Reflection Of Pythagorean Philosophy In The Fifth Century B.c.? -- Iv. Astronomy And Pythagoreanism. -- 1. The Structure Of The World And The Planetary System -- 2. The Theory Of Planetary Movements -- 3. The Cosmos Of Philolaus -- 4. Harmony Of The S[heres And Astral Immortality -- V. Pythagorean Musical Theory. -- 1. Speculation, Experimentation, And Fiction -- 2. Number Symbolism And Calculation Of Proportions In Philolaus -- Vi. Pythagorean Number Theory And Greek Mathematics. -- 1. Did The Pythagoreans Lay The Foundations Of Greek Mathematics? -- 2. Pythagorean Arithmetic -- 3. Pythagorean Geometry And Mathematical Secrets -- 4. Number And Cosmos. Translated By Edwin L. Minar, Jr. Translation Of Weisheit Und Wissenschaft; Studien Zu Pythagoras, Philolaos Und Platon. Bibliography: P. 493-508. For the first English edition of his distinguished study, Weisheit und Wissenschaft: Studien zu Pythagoras, Philoloas und Platon, Walter Burkert has extensively revised both text and notes, taking into account additional literature that has appeared since 1962.