27 ideas
| 8623 | Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege] |
| 12463 | Unlike correspondence, truthmaking can be one truth to many truthmakers, or vice versa [Jacobs] |
| 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] |
| 15785 | Our commitments are to an 'ontology', but also to an 'ideology', or conceptual system [Hintikka] |
| 14375 | If structures result from intrinsic natures of properties, the 'relations' between them can drop out [Jacobs] |
| 14378 | Science aims at identifying the structure and nature of the powers that exist [Jacobs] |
| 12467 | Powers come from concrete particulars, not from the laws of nature [Jacobs] |
| 14377 | Possibilities are manifestations of some power, and impossibilies rest on no powers [Jacobs] |
| 14376 | States of affairs are only possible if some substance could initiate a causal chain to get there [Jacobs] |
| 14379 | Counterfactuals invite us to consider the powers picked out by the antecedent [Jacobs] |
| 14372 | Possible worlds are just not suitable truthmakers for modality [Jacobs] |
| 12466 | All modality is in the properties and relations of the actual world [Jacobs] |
| 14371 | We can base counterfactuals on powers, not possible worlds, and hence define necessity [Jacobs] |
| 12465 | Concrete worlds, unlike fictions, at least offer evidence of how the actual world could be [Jacobs] |
| 12464 | If some book described a possibe life for you, that isn't what makes such a life possible [Jacobs] |
| 12469 | Possible worlds semantics gives little insight into modality [Jacobs] |
| 15786 | Commitment to possible worlds is part of our ideology, not part of our ontology [Hintikka] |