28 ideas
| 6222 | If a decision is in accord with right reason, everyone can agree with it [Cumberland] |
| 13479 | Given that thinking aims at truth, logic gives universal rules for how to do it [Burge] |
| 8132 | We now have a much more sophisticated understanding of logical form in language [Burge] |
| 17622 | We come to believe mathematical propositions via their grounding in the structure [Burge] |
| 16901 | The equivalent algebra model of geometry loses some essential spatial meaning [Burge] |
| 9159 | You can't simply convert geometry into algebra, as some spatial content is lost [Burge] |
| 16902 | Peano arithmetic requires grasping 0 as a primitive number [Burge] |
| 472 | No things would be clear to us as entity or relationships unless there existed Number and its essence [Philolaus] |
| 16892 | Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge] |
| 9382 | Subjects may be unaware of their epistemic 'entitlements', unlike their 'justifications' [Burge] |
| 8126 | Anti-individualism says the environment is involved in the individuation of some mental states [Burge] |
| 8127 | Broad concepts suggest an extension of the mind into the environment (less computer-like) [Burge] |
| 8129 | Anti-individualism may be incompatible with some sorts of self-knowledge [Burge] |
| 8131 | Some qualities of experience, like blurred vision, have no function at all [Burge] |
| 3115 | Are meaning and expressed concept the same thing? [Burge, by Segal] |
| 22511 | Some reasonings are stronger than we are [Philolaus] |
| 6217 | Natural law is supplied to the human mind by reality and human nature [Cumberland] |
| 6221 | If there are different ultimate goods, there will be conflicting good actions, which is impossible [Cumberland] |
| 6218 | The happiness of individuals is linked to the happiness of everyone (which is individuals taken together) [Cumberland] |
| 6220 | The happiness of all contains the happiness of each, and promotes it [Cumberland] |
| 6216 | Natural law is immutable truth giving moral truths and duties independent of society [Cumberland] |
| 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] |
| 14349 | If there are no finks or antidotes at the fundamental level, the laws can't be ceteris paribus [Burge, by Corry] |
| 1787 | Philolaus was the first person to say the earth moves in a circle [Philolaus, by Diog. Laertius] |