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
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
Some reasonings are stronger than we are
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
Harmony must pre-exist the cosmos, to bring the dissimilar sources together
There is no falsehood in harmony and number, only in irrational things
Everything must involve numbers, or it couldn't be thought about or known
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited
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
Self-created numbers make the universe stable
27. Natural Reality / E. Cosmology / 1. Cosmology
Philolaus was the first person to say the earth moves in a circle [Diog. Laertius]