15 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] |
| 15789 | Lewis's distinction of 'existing' from 'being actual' is Meinong's between 'existing' and 'subsisting' [Lycan on Lewis] |
| 10467 | Individuals consist of 'compresent' tropes [Bacon,John] |
| 10464 | A trope is a bit of a property or relation (not an exemplification or a quality) [Bacon,John] |
| 10465 | Trope theory is ontologically parsimonious, with possibly only one-category [Bacon,John] |
| 15790 | Lewis can't know possible worlds without first knowing what is possible or impossible [Lycan on Lewis] |
| 15791 | What are the ontological grounds for grouping possibilia into worlds? [Lycan on Lewis] |
| 10466 | Maybe possible worlds are just sets of possible tropes [Bacon,John] |