10 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] |
14361 | Lewis says indicative conditionals are truth-functional [Lewis, by Jackson] |
8434 | In good counterfactuals the consequent holds in world like ours except that the antecedent is true [Lewis, by Horwich] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
9419 | A law of nature is a general axiom of the deductive system that is best for simplicity and strength [Lewis] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |