20 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] |
| 12608 | Concepts are distinguished by roles in judgement, and are thus tied to rationality [Peacocke] |
| 12605 | A sense is individuated by the conditions for reference [Peacocke] |
| 12607 | Fregean concepts have their essence fixed by reference-conditions [Peacocke] |
| 12609 | Concepts have distinctive reasons and norms [Peacocke] |
| 12604 | Any explanation of a concept must involve reference and truth [Peacocke] |
| 12610 | Encountering novel sentences shows conclusively that meaning must be compositional [Peacocke] |
| 22809 | The social contract sees society as constituted by and for individuals [Taylor,C] |
| 22811 | Assigning a right based on a human capacity implies that the capacity should be developed [Taylor,C] |
| 22815 | If freedom depends on society and culture, the greatest freedom is in shaping them [Taylor,C] |
| 22814 | Our reliance on other people close to us does not imply any political obligations [Taylor,C] |
| 22812 | For most people the primacy of rights mainly concerns freedom [Taylor,C] |
| 22810 | A right is not just a rule, but also asserts certain ideas of moral worth [Taylor,C] |
| 22813 | Property is not essential for life, but it may be essential for independence [Taylor,C] |
| 23417 | If the state is neutral, there won't be sufficient community to support a welfare state [Taylor,C, by Kymlicka] |
| 17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |