12 ideas
| 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] |
| 12899 | The timid student has knowledge without belief, lacking confidence in their correct answer [Lewis] |
| 12897 | To say S knows P, but cannot eliminate not-P, sounds like a contradiction [Lewis] |
| 12898 | Justification is neither sufficient nor necessary for knowledge [Lewis] |
| 12895 | Knowing is context-sensitive because the domain of quantification varies [Lewis, by Cohen,S] |
| 19562 | We have knowledge if alternatives are eliminated, but appropriate alternatives depend on context [Lewis, by Cohen,S] |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| 17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |