13 ideas
| 9283 | Our ancient beliefs can never be overthrown by subtle arguments [Euripides] |
| 10414 | Abstract objects are constituted by encoded collections of properties [Zalta, by Swoyer] |
| 10558 | Abstract objects are actually constituted by the properties by which we conceive them [Zalta] |
| 10415 | Properties make round squares and round triangles distinct, unlike exemplification [Zalta, by Swoyer] |
| 472 | No things would be clear to us as entity or relationships unless there existed Number and its essence [Philolaus] |
| 10557 | Abstract objects are captured by second-order modal logic, plus 'encoding' formulas [Zalta] |
| 22511 | Some reasonings are stronger than we are [Philolaus] |
| 473 | There is no falsehood in harmony and number, only in irrational things [Philolaus] |
| 1519 | Harmony must pre-exist the cosmos, to bring the dissimilar sources together [Philolaus] |
| 1518 | Everything must involve numbers, or it couldn't be thought about or known [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] |