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Full Idea
Pythagoreans said that entities existed by imitation of the numbers, whereas Plato said that it was by participation.
Gist of Idea
Pythagoreans say things imitate numbers, but Plato says things participate in numbers
Source
report of Pythagoras (reports [c.530 BCE]) by Aristotle - Metaphysics 987b
Book Ref
Aristotle: 'Metaphysics', ed/tr. Lawson-Tancred,Hugh [Penguin 1998], p.24
5896 | Speak the truth, for this alone deifies man [Pythagoras, by Porphyry] |
3051 | Pythagoras discovered the numerical relation of sounds on a string [Pythagoras, by Diog. Laertius] |
3053 | Pythagoras taught that virtue is harmony, and health, and universal good, and God [Pythagoras, by Diog. Laertius] |
375 | When musical harmony and rhythm were discovered, similar features were seen in bodily movement [Pythagoras, by Plato] |
644 | For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle] |
638 | Pythagoreans define timeliness, justice and marriage in terms of numbers [Pythagoras, by Aristotle] |
553 | Pythagoreans think mathematical principles are the principles of all of nature [Pythagoras, by Aristotle] |
554 | Pythagoreans say things imitate numbers, but Plato says things participate in numbers [Pythagoras, by Aristotle] |
7467 | The modern idea of an immortal soul was largely created by Pythagoras [Pythagoras, by Watson] |
5244 | For Pythagoreans, justice is simply treating all people the same [Pythagoras, by Aristotle] |
7485 | For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson] |