13 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] |
16698 | Days exist, and yet they seem to be made up of parts which don't exist [Burley] |
16690 | Unlike permanent things, successive things cannot exist all at once [Burley] |
21796 | Man is God if he raises himself, by denying his nature and finitude [Hegel] |
21783 | State slavery is a phase of education, moving towards a full culture [Hegel] |
21784 | Slavery is unjust, because humanity is essentially free [Hegel] |