Cover: Lore and Science in Ancient Pythagoreanism in HARDCOVER

Lore and Science in Ancient Pythagoreanism

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Product Details

HARDCOVER

$139.50 • £111.95 • €125.50

ISBN 9780674539181

Publication Date: 01/01/1972

Short

544 pages

6-1/8 x 9-1/4 inches

World

  • Introduction
  • I. Platonic and Pythagorean Number Theory
    • The Platonic Theory of Ideal Numbers
    • The Philosophy of the Pythagoreans according to Aristotle
    • The Later Non-Aristotelian Tradition and Its Sources, Speusippus, Xenocrates, and Heraclides Ponticus
    • Pythagoreanism in Plato and the Origin in Platonism of the Pythagorean Tradition
  • II. Pythagoras in the Earliest Tradition
    • Source Problems
    • Historical Background
    • Metempsychosis and “Shamanism”
    • Acusmata Acusmatici and Mat hematici
    • Early Evidence for Pythagoras as a Scientist?
  • III. Philolaus
    • The Special Position of Philolaus’ Book in the Pythagorean Tradition
    • The Spurious and the Genuine in the Philolaus Fragments
    • Reflections of Pythagorean Philosophy in the Fifth Century B.C.?
  • IV. Astronomy and Pythagoreanism
    • The Structure of the World and the Planetary System
    • The Theory of Planetary Movements
    • The Cosmos of Philolaus
    • Harmony of the Spheres and Astral Immortality
  • V. Pythagorean Musical Theory
    • Speculation, Experimentation, and Fiction
    • Number Symbolism and Calculation of Proportions in Philolaus
  • VI. Pythagorean Number Theory and Greek Mathematics
    • Did the Pythagoreans Lay the Foundations of Greek Mathematics?
    • Pythagorean Arithmetic
    • Pythagorean Geometry and Mathematical Secrets
    • Number and Cosmos
  • Abbreviations
  • Bibliography
  • Greek Words Discussed
  • Index of Passages
  • General Index

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