11 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] |
15642 | If kinds depend only on what can be observed, many underlying essences might produce the same kind [Eagle] |
15645 | Nominal essence are the observable properties of things [Eagle] |
15643 | Nominal essence mistakenly gives equal weight to all underlying properties that produce appearances [Eagle] |
5963 | Some say emotion is a sort of reason, and others say virtue concerns emotion [Plutarch] |
15641 | Kinds are fixed by the essential properties of things - the properties that make it that kind of thing [Eagle] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |