12 ideas
3269 | If your life is to be meaningful as part of some large thing, the large thing must be meaningful [Nagel] |
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] |
3270 | Justifications come to an end when we want them to [Nagel] |
5960 | When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch] |
3268 | If a small brief life is absurd, then so is a long and large one [Nagel] |