20 ideas
| 8623 | Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege] |
| 13907 | If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon] |
| 6297 | Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik] |
| 9603 | An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR] |
| 9894 | A unit is that according to which each existing thing is said to be one [Euclid] |
| 8738 | Postulate 2 says a line can be extended continuously [Euclid, by Shapiro] |
| 22278 | Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid] |
| 8673 | Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend] |
| 10250 | Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid] |
| 10302 | Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays] |
| 14157 | Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid] |
| 1600 | Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik] |
| 3978 | Associations are held to connect Ideas together in the way the world is connected together [Fodor] |
| 5960 | When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch] |
| 3976 | Intentional science needs objects with semantic and causal properties, and which obey laws [Fodor] |
| 3980 | Intentional states and processes may be causal relations among mental symbols [Fodor] |
| 3981 | Most psychological properties seem to be multiply realisable [Fodor] |
| 3975 | Folk psychology explains behaviour by reference to intentional states like belief and desire [Fodor] |
| 3982 | How could the extrinsic properties of thoughts supervene on their intrinsic properties? [Fodor] |
| 3977 | Laws are true generalisations which support counterfactuals and are confirmed by instances [Fodor] |