12 ideas
| 21552 | Common speech is vague; its vocabulary and syntax must be modified, for precision [Russell] |
| 21551 | Empirical words need ostensive definition, which makes them egocentric [Russell] |
| 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] |
| 21550 | Science reduces indexicals to a minimum, but they can never be eliminated from empirical matters [Russell] |
| 7667 | There are two sides to men - the pleasantly social, and the violent and creative [Diderot, by Berlin] |