15 ideas
| 13917 | Metaphysics aims to identify categories of being, and show their interdependency [Lowe] |
| 13919 | Philosophy aims not at the 'analysis of concepts', but at understanding the essences of things [Lowe] |
| 472 | No things would be clear to us as entity or relationships unless there existed Number and its essence [Philolaus] |
| 13918 | Holes, shadows and spots of light can coincide without being identical [Lowe] |
| 13921 | All things must have an essence (a 'what it is'), or we would be unable to think about them [Lowe] |
| 13922 | Knowing an essence is just knowing what the thing is, not knowing some further thing [Lowe] |
| 13920 | Each thing has to be of a general kind, because it belongs to some category [Lowe] |
| 23304 | The ancient Memorists said virtually all types of thinking could be done simply by memory [Sorabji] |
| 23303 | Stoics say true memory needs reflection and assent, but animals only have perceptual recognition [Sorabji] |
| 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] |