24 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] |
18933 | Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius] |
7949 | Varied descriptions of an event will explain varied behaviour relating to it [Davidson, by Macdonald,C] |
5864 | Destroy seriousness with laughter, and laughter with seriousness [Gorgias] |
9866 | Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato] |
20020 | If one action leads directly to another, they are all one action [Davidson, by Wilson/Schpall] |
20072 | We explain an intention by giving an account of acting with an intention [Davidson, by Stout,R] |
20045 | Acting for a reason is a combination of a pro attitude, and a belief that the action is appropriate [Davidson] |
23734 | The best explanation of reasons as purposes for actions is that they are causal [Davidson, by Smith,M] |
23737 | Reasons can give purposes to actions, without actually causing them [Smith,M on Davidson] |
20075 | Early Davidson says intentional action is caused by reasons [Davidson, by Stout,R] |
6664 | Reasons must be causes when agents act 'for' reasons [Davidson, by Lowe] |
3395 | Davidson claims that what causes an action is the reason for doing it [Davidson, by Kim] |