12 ideas
| 291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
| 15533 | We can quantify over fictions by quantifying for real over their names [Lewis] |
| 15534 | We could quantify over impossible objects - as bundles of properties [Lewis] |
| 17963 | The facts of geometry, arithmetic or statics order themselves into theories [Hilbert] |
| 17966 | Axioms must reveal their dependence (or not), and must be consistent [Hilbert] |
| 17967 | To decide some questions, we must study the essence of mathematical proof itself [Hilbert] |
| 17965 | The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert] |
| 17964 | Number theory just needs calculation laws and rules for integers [Hilbert] |
| 15532 | 'Allists' embrace the existence of all controversial entities; 'noneists' reject all but the obvious ones [Lewis] |
| 15535 | We can't accept a use of 'existence' that says only some of the things there are actually exist [Lewis] |
| 293 | Being unafraid (perhaps through ignorance) and being brave are two different things [Plato] |
| 17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |