Ideas of Philolaus, by Theme

[Greek, 475 - 395 BCE, Born and lived at Tarentum, in southern Italy. Taught by Pythagoras.]

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9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification

472	No things would be clear to us as entity or relationships unless there existed Number and its essence

20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will

22511

Some reasonings are stronger than we are

26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature

1518	Everything must involve numbers, or it couldn't be thought about or known

1519	Harmony must pre-exist the cosmos, to bring the dissimilar sources together

473	There is no falsehood in harmony and number, only in irrational things

26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited

469	Existing things, and hence the Cosmos, are a mixture of the Limited and the Unlimited

26. Natural Theory / D. Laws of Nature / 6. Laws as Numerical

476	Self-created numbers make the universe stable

27. Natural Reality / E. Cosmology / 1. Cosmology

1787	Philolaus was the first person to say the earth moves in a circle [Diog. Laertius]