15 ideas
| 472 | No things would be clear to us as entity or relationships unless there existed Number and its essence [Philolaus] |
| 12066 | Aristotelian and Kripkean essentialism are very different theories [Witt] |
| 12067 | An Aristotelian essence is a nonlinguistic correlate of the definition [Witt] |
| 12082 | If unity is a matter of degree, then essence may also be a matter of degree [Witt] |
| 12089 | Essences mainly explain the existence of unified substance [Witt] |
| 12102 | Essential properties of origin are too radically individual for an Aristotelian essence [Witt] |
| 22511 | Some reasonings are stronger than we are [Philolaus] |
| 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] |
| 12085 | Reality is directional [Witt] |
| 1787 | Philolaus was the first person to say the earth moves in a circle [Philolaus, by Diog. Laertius] |
| 1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |