18 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] |
| 6409 | The 'simple theory of types' distinguishes levels among properties [Ramsey, by Grayling] |
| 3523 | Shadows are supervenient on their objects, but not reducible [Maslin] |
| 3517 | 'Ontology' means 'study of things which exist' [Maslin] |
| 3212 | Beliefs are maps by which we steer [Ramsey] |
| 3538 | Analogy to other minds is uncheckable, over-confident and chauvinistic [Maslin] |
| 3540 | If we are brains then we never meet each other [Maslin] |
| 3518 | I'm not the final authority on my understanding of maths [Maslin] |
| 3530 | Denial of purely mental causation will lead to epiphenomenalism [Maslin] |
| 3520 | Token-identity removes the explanatory role of the physical [Maslin] |
| 3528 | Causality may require that a law is being followed [Maslin] |
| 3525 | Strict laws make causation logically necessary [Maslin] |
| 3527 | Strict laws allow no exceptions and are part of a closed system [Maslin] |
| 17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |