12 ideas
472 | No things would be clear to us as entity or relationships unless there existed Number and its essence [Philolaus] |
19690 | 'Grasping' a structure seems to be modal, because we must anticipate its behaviour [Grimm] |
19691 | Unlike knowledge, you can achieve understanding through luck [Grimm] |
19692 | You may have 'weak' understanding, if by luck you can answer a set of 'why questions' [Grimm] |
20653 | Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson] |
22511 | Some reasonings are stronger than we are [Philolaus] |
473 | There is no falsehood in harmony and number, only in irrational things [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] |
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] |