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Single Idea 554

[filed under theme 26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature ]

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


The 11 ideas from Pythagoras

Speak the truth, for this alone deifies man [Pythagoras, by Porphyry]
Pythagoras discovered the numerical relation of sounds on a string [Pythagoras, by Diog. Laertius]
Pythagoras taught that virtue is harmony, and health, and universal good, and God [Pythagoras, by Diog. Laertius]
When musical harmony and rhythm were discovered, similar features were seen in bodily movement [Pythagoras, by Plato]
For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle]
Pythagoreans define timeliness, justice and marriage in terms of numbers [Pythagoras, by Aristotle]
Pythagoreans think mathematical principles are the principles of all of nature [Pythagoras, by Aristotle]
Pythagoreans say things imitate numbers, but Plato says things participate in numbers [Pythagoras, by Aristotle]
The modern idea of an immortal soul was largely created by Pythagoras [Pythagoras, by Watson]
For Pythagoreans, justice is simply treating all people the same [Pythagoras, by Aristotle]
For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson]
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