14 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] |
| 18439 | Because things can share attributes, we cannot individuate attributes clearly [Quine] |
| 18442 | You only know an attribute if you know what things have it [Quine] |
| 18441 | No entity without identity (which requires a principle of individuation) [Quine] |
| 594 | Speusippus suggested underlying principles for every substance, and ended with a huge list [Speussipus, by Aristotle] |
| 18440 | Identity of physical objects is just being coextensive [Quine] |
| 2632 | Speusippus said things were governed by some animal force rather than the gods [Speussipus, by Cicero] |