10 ideas
9390 | Logic guides thinking, but it isn't a substitute for it [Rumfitt] |
472 | No things would be clear to us as entity or relationships unless there existed Number and its essence [Philolaus] |
9389 | Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt] |
1518 | Everything must involve numbers, or it couldn't be thought about or known [Philolaus] |
1519 | Harmony must pre-exist the cosmos, to bring the dissimilar sources together [Philolaus] |
473 | There is no falsehood in harmony and number, only in irrational things [Philolaus] |
469 | Existing things, and hence the Cosmos, are a mixture of the Limited and the Unlimited [Philolaus] |
476 | Self-created numbers make the universe stable [Philolaus] |
1787 | Philolaus was the first person to say the earth moves in a circle [Philolaus, by Diog. Laertius] |
5974 | People report seeing through rocks, or over the horizon, or impossibly small works [Plutarch] |