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] |
14592 | Some abstract things have a beginning and end, so may exist in time (though not space) [Swoyer] |
14594 | Ontologists seek existence and identity conditions, and modal and epistemic status for a thing [Swoyer] |
14595 | Can properties exemplify other properties? [Swoyer] |
14593 | Quantum field theory suggests that there are, fundamentally, no individual things [Swoyer] |
6019 | If someone squashed a horse to make a dog, something new would now exist [Mnesarchus] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |