20 ideas
14085 | 'Deductivist' structuralism is just theories, with no commitment to objects, or modality [Linnebo] |
14086 | 'Modal' structuralism studies all possible concrete models for various mathematical theories [Linnebo] |
14084 | Non-eliminative structuralism treats mathematical objects as positions in real abstract structures [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] |
17555 | 'One' can mean undivided and not a multitude, or it can add measurement, giving number [Aquinas] |
8239 | If the King likes music then there is hope for the state [Mengzi (Mencius)] |
23398 | Human nature is naturally compassionate and good (as a 'sprout'), but people may not be good [Mengzi (Mencius), by Norden] |
23400 | Righteousness is extending the unthinkable, to reveal what must be done [Mengzi (Mencius)] |
23399 | Each correct feeling relies on an underlying virtue [Mengzi (Mencius)] |
8235 | Should a coward who ran fifty paces from a battle laugh at another who ran a hundred? [Mengzi (Mencius)] |
8240 | A true king shares his pleasure with the people [Mengzi (Mencius)] |
8237 | Extend the treatment of the old and young in your family to the rest of society [Mengzi (Mencius)] |
8241 | Only put someone to death if the whole population believes it is deserved [Mengzi (Mencius)] |
8238 | Seeking peace through war is like looking for fish up a tree [Mengzi (Mencius)] |
8236 | Avoid the animals you are going to eat, as it is hard once you have got to know them [Mengzi (Mencius)] |