18 ideas
| 4424 | A warlike philosopher challenges problems to single combat [Nietzsche] |
| 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] |
| 2886 | The distinction between egoistic and non-egoistic acts is absurd [Nietzsche] |
| 4426 | A bad result distorts one's judgement about the virtue of what one has done [Nietzsche] |
| 4425 | The overcoming of pity I count among the noble virtues [Nietzsche] |
| 20132 | To become what you are you must have no self-awareness [Nietzsche] |
| 20144 | Eternal recurrence is the highest attainable affirmation [Nietzsche] |
| 2889 | One repays a teacher badly if one remains only a pupil [Nietzsche] |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |
| 2887 | I am not an atheist because of reasoning or evidence, but because of instinct [Nietzsche] |