15 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] |
17488 | Empiricist theories are sets of laws, which give explanations and reductions [Glennan] |
17493 | Modern mechanism need parts with spatial, temporal and function facts, and diagrams [Glennan] |
17487 | Mechanistic philosophy of science is an alternative to the empiricist law-based tradition [Glennan] |
17489 | Mechanisms are either systems of parts or sequences of activities [Glennan] |
17490 | 17th century mechanists explained everything by the kinetic physical fundamentals [Glennan] |
17491 | Unlike the lawlike approach, mechanistic explanation can allow for exceptions [Glennan] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
17494 | Since causal events are related by mechanisms, causation can be analysed in that way [Glennan] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |