14 ideas
| 17824 | The master science is physical objects divided into sets [Maddy] |
| 13007 | Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz] |
| 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] |
| 6387 | A minimum requirement for a theory of meaning is that it include an account of truth [Davidson] |
| 6391 | A theory of truth tells us how communication by language is possible [Davidson] |
| 6388 | Is reference the key place where language and the world meet? [Davidson] |
| 6390 | With a holistic approach, we can give up reference in empirical theories of language [Davidson] |
| 6389 | To explain the reference of a name, you must explain its sentence-role, so reference can't be defined nonlinguistically [Davidson] |