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
     Full Idea: No existing things would be clear to anyone, either in themselves or in their relationship to one another, unless there existed Number and its essence.
     From: Philolaus (On the Cosmos (lost) [c.435 BCE], B11), quoted by John Stobaeus - Anthology 1.03.8
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Some reasonings are stronger than we are
     Full Idea: Some reasonings are stronger than we are.
     From: Philolaus (fragments/reports [c.425 BCE]), quoted by Aristotle - Eudemian Ethics 1225a33
     A reaction: This endorses the Aristotle view of akrasia (as opposed to the Socratic view). This isolated remark seems to imply that we are more clearly embodiments of will than of reason.
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
Everything must involve numbers, or it couldn't be thought about or known
     Full Idea: Everything which is known has number, because otherwise it is impossible for anything to be the object of thought or knowledge.
     From: Philolaus (On the Cosmos (lost) [c.435 BCE], B04), quoted by John Stobaeus - Anthology 1.21.7b
Harmony must pre-exist the cosmos, to bring the dissimilar sources together
     Full Idea: It would have been impossible for the dissimilar and incompatible sources to have been made into an orderly universe unless harmony had been present in some form or other.
     From: Philolaus (On the Cosmos (lost) [c.435 BCE], B06), quoted by John Stobaeus - Anthology 1.21.7d
There is no falsehood in harmony and number, only in irrational things
     Full Idea: The nature of number and harmony admits of no falsehood; for this is unrelated to them. Falsehood and envy belong to the nature of the Unlimited and the Unintelligent and the Irrational.
     From: Philolaus (On the Cosmos (lost) [c.435 BCE], B11), quoted by (who?) - where?
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
     Full Idea: Since it is plain that existing things are neither wholly from the Limiting, nor wholly from the Unlimited, clearly the cosmos and its contents were fitted together from both the Limiting and the Unlimited.
     From: Philolaus (On the Cosmos (lost) [c.435 BCE], B02), quoted by John Stobaeus - Anthology 1.21.7a
26. Natural Theory / D. Laws of Nature / 6. Laws as Numerical
Self-created numbers make the universe stable
     Full Idea: Number is the ruling and self-created bond which maintains the everlasting stability of the contents of the universe.
     From: Philolaus (On the Cosmos (lost) [c.435 BCE], B23), quoted by (who?) - where?
27. Natural Reality / E. Cosmology / 1. Cosmology
Philolaus was the first person to say the earth moves in a circle
     Full Idea: Philolaus was the first person to affirm that the earth moves in a circle.
     From: report of Philolaus (On the Cosmos (lost) [c.435 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 08.Ph.3