28 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] |
12887 | A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim] |
22858 | There is collective action, where a trend is manifest, but is not attributable to individuals [Lukes] |
22854 | Power is a capacity, which may never need to be exercised [Lukes] |
22850 | Hidden powers are the most effective [Lukes] |
22852 | The pluralist view says that power is restrained by group rivalry [Lukes] |
22855 | One-dimensionsal power is behaviour in observable conflicts of interests [Lukes] |
22856 | Political organisation brings some conflicts to the fore, and suppresses others [Lukes] |
22857 | The two-dimensional view of power recognises the importance of controlling the agenda [Lukes] |
22859 | Power can be exercised to determine a person's desires [Lukes] |
22863 | Power is the capacity of a social class to realise its interests [Lukes] |
22860 | The evidence for the exertion of power need not involve a grievance of the powerless [Lukes] |
22861 | Power is affecting a person in a way contrary to their interests [Lukes] |
21133 | Supreme power is getting people to have thoughts and desires chosen by you [Lukes] |
22851 | In the 1950s they said ideology is finished, and expertise takes over [Lukes] |
22862 | Liberals take people as they are, and take their preferences to be their interests [Lukes] |
22853 | Anyone who thinks capitalism can improve their lives is endorsing capitalism [Lukes] |