15 ideas
8251 | The logical space of reasons is a natural phenomenon, and it is the realm of freedom [McDowell] |
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] |
8128 | Representation must be propositional if it can give reasons and be epistemological [McDowell, by Burge] |
19092 | There is no pure Given, but it is cultured, rather than entirely relative [McDowell, by Macbeth] |
8253 | Sense impressions already have conceptual content [McDowell] |
21687 | It seems obvious to prefer the simpler of two theories, on grounds of beauty and convenience [Quine] |
21688 | There are four suspicious reasons why we prefer simpler theories [Quine] |
8254 | Forming concepts by abstraction from the Given is private definition, which the Private Lang. Arg. attacks [McDowell] |