12 ideas
| 9217 | Modern empirical metaphysics focuses on ontological commitments of discourse, or on presuppositions [Loux/Zimmerman] |
| 472 | No things would be clear to us as entity or relationships unless there existed Number and its essence [Philolaus] |
| 16698 | Days exist, and yet they seem to be made up of parts which don't exist [Burley] |
| 16690 | Unlike permanent things, successive things cannot exist all at once [Burley] |
| 16719 | The primary qualities are mixed to cause secondary qualities [Burley] |
| 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] |
| 1787 | Philolaus was the first person to say the earth moves in a circle [Philolaus, by Diog. Laertius] |