34 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] |
| 12797 | If plural variables have 'some values', then non-count variables have 'some value' [Laycock] |
| 12794 | Plurals are semantical but not ontological [Laycock] |
| 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] |
| 17694 | Some non-count nouns can be used for counting, as in 'several wines' or 'fewer cheeses' [Laycock] |
| 17695 | Some apparent non-count words can take plural forms, such as 'snows' or 'waters' [Laycock] |
| 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] |
| 5311 | If observation goes up a level, we expect the laws of the lower level to remain in force [Wilson,EO] |
| 12792 | The category of stuff does not suit reference [Laycock] |
| 12799 | Descriptions of stuff are neither singular aggregates nor plural collections [Laycock] |
| 12818 | We shouldn't think some water retains its identity when it is mixed with air [Laycock] |
| 5312 | A child first sees objects as distinct, and later as members of groups [Wilson,EO] |
| 12795 | Parts must be of the same very general type as the wholes [Laycock] |
| 5309 | Beliefs are really enabling mechanisms for survival [Wilson,EO] |
| 17696 | 'Humility is a virtue' has an abstract noun, but 'water is a liquid' has a generic concrete noun [Laycock] |
| 12791 | It is said that proper reference is our intellectual link with the world [Laycock] |
| 5310 | Philosophers study the consequences of ethics instead of its origins [Wilson,EO] |
| 5313 | The rules of human decision-making converge and overlap in a 'human nature' [Wilson,EO] |
| 5316 | We undermine altruism by rewarding it, but we reward it to encourage it [Wilson,EO] |
| 5318 | Pure hard-core altruism based on kin selection is the enemy of civilisation [Wilson,EO] |
| 5317 | The actor is most convincing who believes that his performance is real [Wilson,EO] |
| 5308 | The only human purpose is that created by our genetic history [Wilson,EO] |
| 5314 | Cultural evolution is Lamarckian and fast, biological evolution is Darwinian and slow [Wilson,EO] |
| 5315 | Over 99 percent of human evolution has been in the hunter-gatherer phase [Wilson,EO] |
| 5320 | It is estimated that mankind has produced 100,000 religions [Wilson,EO] |