10 ideas
| 18946 | Unreflectively, we all assume there are nonexistents, and we can refer to them [Reimer] |
| 10245 | One geometry cannot be more true than another [Poincaré] |
| 15923 | Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine] |
| 10180 | Mathematicians do not study objects, but relations between objects [Poincaré] |
| 9916 | Convention, yes! Arbitrary, no! [Poincaré, by Putnam] |
| 18203 | Avoid non-predicative classifications and definitions [Poincaré] |
| 18933 | Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius] |
| 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] |
| 15877 | The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré] |