Ideas from 'On the Cosmos (lost)' by Philolaus [435 BCE], by Theme Structure
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9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
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472
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No things would be clear to us as entity or relationships unless there existed Number and its essence
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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
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473
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There is no falsehood in harmony and number, only in irrational things
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1519
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Harmony must pre-exist the cosmos, to bring the dissimilar sources together
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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
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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
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27. Natural Reality / E. Cosmology / 1. Cosmology
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1787
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Philolaus was the first person to say the earth moves in a circle [Diog. Laertius]
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