13 ideas
11257 | The Pythagoreans were the first to offer definitions [Politis, by Politis] |
11235 | 'True of' is applicable to things, while 'true' is applicable to words [Politis] |
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] |
11277 | Maybe 'What is being? is confusing because we can't ask what non-being is like [Politis] |
8508 | A 'trope' is an abstract particular, the occurrence of an essence [Williams,DC] |
8509 | A world is completely constituted by its tropes and their connections [Williams,DC] |
8510 | 'Socrates is wise' means a concurrence sum contains a member of a similarity set [Williams,DC] |
11248 | Necessary truths can be two-way relational, where essential truths are one-way or intrinsic [Politis] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |