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Single Idea 1518

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

Full Idea

Everything which is known has number, because otherwise it is impossible for anything to be the object of thought or knowledge.

Gist of Idea

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

Source

Philolaus (On the Cosmos (lost) [c.435 BCE], B04), quoted by John Stobaeus - Anthology 1.21.7b

Book Ref

'The First Philosophers', ed/tr. Waterfield,Robin [OUP 2000], p.111


The 7 ideas from 'On the Cosmos (lost)'

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]