## Lore and Science in Ancient PythagoreanismFor this first English edition of his distinguished study of Pythagoreanism, 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. |

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### Sommario

Platonic and Pythagorean Number Theory | 15 |

The Philosophy of the Pythagoreans according to Aristotle | 28 |

The Later NonAristotelian Tradition and Its Sources | 53 |

Pythagoreanism in Plato and the Origin in Platonism of the | 83 |

Pythagoras in the Earliest Tradition | 97 |

Metempsychosis and Shamanism | 120 |

Acusmata | 166 |

Acusmatici and Mathematici | 192 |

The Cosmos of Philolaus | 337 |

Harmony of the Spheres and Astral Immortality | 350 |

Pythagorean Musical Theory | 369 |

Number Symbolism and Calculation of Proportions in | 386 |

Pythagorean Number Theory and Greek Mathematics | 401 |

Pythagorean Arithmetic | 427 |

Pythagorean Geometry and Mathematical Secrets | 447 |

Number and Cosmos | 465 |

Early Evidence for Pythagoras as a Scientist? | 208 |

The Spurious and the Genuine in the Philolaus Fragments | 238 |

Reflections of Pythagorean Philosophy in the Fifth | 277 |

Astronomy and Pythagoreanism | 299 |

The Theory of Planetary Movements | 322 |

Abbreviations | 485 |

509 | |

528 | |