17 ideas
| 4424 | A warlike philosopher challenges problems to single combat [Nietzsche] |
| 9193 | ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett] |
| 9194 | The main alternative to ZF is one which includes looser classes as well as sets [Dummett] |
| 9195 | Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett] |
| 9186 | First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett] |
| 9187 | Logical truths and inference are characterized either syntactically or semantically [Dummett] |
| 9191 | Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett] |
| 9192 | The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett] |
| 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] |