15 ideas
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] |
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] |
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] |
16678 | Without magnitude a thing would retain its parts, but they would have no location [Buridan] |
16793 | A thing is (less properly) the same over time if each part is succeeded by another [Buridan] |
16577 | Induction is not demonstration, because not all of the instances can be observed [Buridan] |
16576 | Science is based on induction, for general truths about fire, rhubarb and magnets [Buridan] |
6003 | Galen showed by experiment that the brain controls the body [Galen, by Hankinson] |
6030 | Each part of the soul has its virtue - pleasure for appetite, success for competition, and rectitude for reason [Galen] |