19 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] |
20298 | The traditional a priori is justified without experience; post-Quine it became unrevisable by experience [Rey] |
20300 | Externalist synonymy is there being a correct link to the same external phenomena [Rey] |
20294 | 'Married' does not 'contain' its symmetry, nor 'bigger than' its transitivity [Rey] |
20293 | Analytic judgements can't be explained by contradiction, since that is what is assumed [Rey] |
20297 | Analytic statements are undeniable (because of meaning), rather than unrevisable [Rey] |
20301 | The meaning properties of a term are those which explain how the term is typically used [Rey] |
20302 | An intrinsic language faculty may fix what is meaningful (as well as grammatical) [Rey] |
20303 | Research throws doubts on the claimed intuitions which support analyticity [Rey] |
20299 | If we claim direct insight to what is analytic, how do we know it is not sub-consciously empirical? [Rey] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |