15 ideas
3067 | A philosopher should have principles ready for understanding, like a surgeon with instruments [Aurelius] |
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] |
3072 | Everything is changing, including yourself and the whole universe [Aurelius] |
3066 | Nothing is evil which is according to nature [Aurelius] |
3071 | Justice has no virtue opposed to it, but pleasure has temperance opposed to it [Aurelius] |
3069 | The art of life is more like the wrestler's than the dancer's [Aurelius] |
3065 | Humans are naturally made for co-operation [Aurelius] |
5467 | Euler said nature is instrinsically passive, and minds cause change [Euler, by Ellis] |