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] |
| 8526 | We might treat both tropes and substances as fundamental, so we can't presume it is just tropes [Daly] |
| 8527 | More than one trope (even identical ones!) can occupy the same location [Daly] |
| 8528 | If tropes are linked by the existence of concurrence, a special relation is needed to link them all [Daly] |
| 12893 | Contextualism says sceptical arguments are true, relative to their strict context [Cohen,S] |
| 12896 | Knowledge is context-sensitive, because justification is [Cohen,S] |
| 12894 | There aren't invariant high standards for knowledge, because even those can be raised [Cohen,S] |