29 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] |
7352 | Jesus said learning was unnecessary, and only the spirit of the Law was needed [Jesus, by Johnson,P] |
6289 | Love your enemies [Jesus] |
6292 | Love thy neighbour as thyself [Jesus] |
5356 | Treat others as you would have them treat you [Jesus] |
6286 | Blessed are the merciful: for they shall obtain mercy [Jesus] |
6290 | Except ye become as little children, ye shall not enter heaven [Jesus] |
6287 | If you lust after a woman, you have committed adultery [Jesus] |
6285 | Blessed are the meek; for they shall inherit the earth [Jesus] |
6288 | Don't resist evil, but turn the other cheek [Jesus] |
6293 | It is almost impossible for the rich to go to heaven [Jesus] |
7257 | All modern social systems seem to be conspiracies of the rich [More,T] |
7254 | If you try to get elected, you should be permanently barred from seeking office [More,T] |
7255 | Only Utopians fail to see glory in warfare [More,T] |
7253 | In Utopia, legal euthanasia is considered honourable [More,T] |
6291 | No one is good except God [Jesus] |
7256 | In Utopia, the Supreme Being is identical with Nature [More,T] |
7351 | Jesus turned the ideas of Hillel into a theology reduced to its moral elements [Jesus, by Johnson,P] |