17 ideas
| 17824 | The master science is physical objects divided into sets [Maddy] |
| 17825 | Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy] |
| 17826 | Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy] |
| 17828 | Numbers are properties of sets, just as lengths are properties of physical objects [Maddy] |
| 17827 | Sets exist where their elements are, but numbers are more like universals [Maddy] |
| 17830 | Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy] |
| 17823 | If mathematical objects exist, how can we know them, and which objects are they? [Maddy] |
| 17829 | Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy] |
| 3016 | Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius] |
| 7630 | Ryle's dichotomy between knowing how and knowing that is too simplistic [Maund] |
| 7632 | Perception is sensation-then-concept, or direct-concepts, or sensation-saturated-in-concepts [Maund] |
| 7635 | Sense-data have an epistemological purpose (foundations) and a metaphysical purpose (explanation) [Maund] |
| 7638 | One thesis says we are not aware of qualia, but only of objects and their qualities [Maund] |
| 7642 | The Myth of the Given claims that thought is rationally supported by non-conceptual experiences [Maund] |
| 7640 | Mountains are adverbial modifications of the earth, but still have object-characteristics [Maund] |
| 7641 | Adverbialism tries to avoid sense-data and preserve direct realism [Maund] |
| 7637 | Thought content is either satisfaction conditions, or exercise of concepts [Maund, by PG] |