- 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

Lore and Science in Ancient Pythagoreanism
Product Details
HARDCOVER
$139.50 • £111.95 • €125.50
ISBN 9780674539181
Publication Date: 01/01/1972