15 ideas
18889 | Ostensive definitions needn't involve pointing, but must refer to something specific [Salmon,N] |
14627 | S4, and therefore S5, are invalid for metaphysical modality [Salmon,N, by Williamson] |
17824 | The master science is physical objects divided into sets [Maddy] |
13007 | Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz] |
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] |
18888 | Essentialism says some properties must be possessed, if a thing is to exist [Salmon,N] |
18886 | Frege's 'sense' solves four tricky puzzles [Salmon,N] |
18887 | The perfect case of direct reference is a variable which has been assigned a value [Salmon,N] |
18891 | Nothing in the direct theory of reference blocks anti-essentialism; water structure might have been different [Salmon,N] |