14 ideas
14086 | 'Modal' structuralism studies all possible concrete models for various mathematical theories [Linnebo] |
14087 | 'Set-theoretic' structuralism treats mathematics as various structures realised among the sets [Linnebo] |
14085 | 'Deductivist' structuralism is just theories, with no commitment to objects, or modality [Linnebo] |
14084 | Non-eliminative structuralism treats mathematical objects as positions in real abstract structures [Linnebo] |
14089 | Structuralism differs from traditional Platonism, because the objects depend ontologically on their structure [Linnebo] |
14083 | Structuralism is right about algebra, but wrong about sets [Linnebo] |
14090 | In mathematical structuralism the small depends on the large, which is the opposite of physical structures [Linnebo] |
14091 | There may be a one-way direction of dependence among sets, and among natural numbers [Linnebo] |
14088 | An 'intrinsic' property is either found in every duplicate, or exists independent of all externals [Linnebo] |
19216 | Propositions (such as 'that dog is barking') only exist if their items exist [Williamson] |
23896 | We see our character as a restricting limit, but also as an unshakable support [Weil] |
23893 | We don't see character in a single moment, but only over a period of time [Weil] |
23894 | The concept of character is at the centre of morality [Weil] |
23895 | We modify our character by placing ourselves in situations, or by attending to what seems trivial [Weil] |