21 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] |
8228 | Being is revealed at the point between waking and sleep [Anon (Cent)] |
8232 | Neglect your self, and feel the consciousness of each other being [Anon (Cent)] |
8230 | Just as you have the impulse to do something, stop [Anon (Cent)] |
18678 | Maybe final value rests on the extrinsic property of being valued by a rational agent [Korsgaard, by Orsi] |
8234 | Bondage and liberation are relative terms, which only frighten those already terrified of the universe [Anon (Cent)] |
8227 | Feel your whole body saturated with cosmic essence [Anon (Cent)] |
8229 | The serenity in blue sky beyond clouds [Anon (Cent)] |
8231 | Abandon attachment to body, and feel the joy of being everywhere [Anon (Cent)] |
8233 | Imagine fire burning up your whole body, but not you [Anon (Cent)] |