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Single Idea 473

[filed under theme 26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature ]

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.

Gist of Idea

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

Source

Philolaus (On the Cosmos (lost) [c.435 BCE], B11), quoted by (who?) - where?

Book Ref

'Ancilla to the Pre-Socratic Philosophers', ed/tr. Freeman,Kathleen [Harvard 1957], p.75


The 8 ideas from Philolaus

Philolaus was the first person to say the earth moves in a circle [Philolaus, by Diog. Laertius]
Existing things, and hence the Cosmos, are a mixture of the Limited and the Unlimited [Philolaus]
Everything must involve numbers, or it couldn't be thought about or known [Philolaus]
Harmony must pre-exist the cosmos, to bring the dissimilar sources together [Philolaus]
There is no falsehood in harmony and number, only in irrational things [Philolaus]
No things would be clear to us as entity or relationships unless there existed Number and its essence [Philolaus]
Self-created numbers make the universe stable [Philolaus]
Some reasonings are stronger than we are [Philolaus]