19 ideas
23367 | Even pointing a finger should only be done for a reason [Epictetus] |
15787 | Maybe Ockham's Razor is a purely aesthetic principle [Lycan] |
15784 | The Razor seems irrelevant for Meinongians, who allow absolutely everything to exist [Lycan] |
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] |
15792 | Maybe non-existent objects are sets of properties [Lycan] |
15795 | Treating possible worlds as mental needs more actual mental events [Lycan] |
15796 | Possible worlds must be made of intensional objects like propositions or properties [Lycan] |
15794 | If 'worlds' are sentences, and possibility their consistency, consistency may rely on possibility [Lycan] |