Combining Philosophers
Ideas for Parmenides, Prodicus and Philolaus
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13 ideas
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
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1518
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Everything must involve numbers, or it couldn't be thought about or known [Philolaus]
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473
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There is no falsehood in harmony and number, only in irrational things [Philolaus]
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1519
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Harmony must pre-exist the cosmos, to bring the dissimilar sources together [Philolaus]
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26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited
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469
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Existing things, and hence the Cosmos, are a mixture of the Limited and the Unlimited [Philolaus]
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26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
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555
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People who say that the cosmos is one forget that they must explain movement [Aristotle on Parmenides]
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226
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The one is without any kind of motion [Parmenides]
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5081
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There could be movement within one thing, as there is within water [Aristotle on Parmenides]
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1509
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The one can't be divisible, because if it was it could be infinitely divided down to nothing [Parmenides, by Simplicius]
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20900
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Defenders of the One say motion needs the void - but that is not part of Being [Parmenides, by Aristotle]
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1505
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Reason sees reality as one, the senses see it as many [Aristotle on Parmenides]
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453
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Reality is symmetrical and balanced, like a sphere, with no reason to be greater one way rather than another [Parmenides]
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26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
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1792
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He taught that there are two elements, fire the maker, and earth the matter [Parmenides, by Diog. Laertius]
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26. Natural Theory / D. Laws of Nature / 6. Laws as Numerical
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476
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Self-created numbers make the universe stable [Philolaus]
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