17 ideas
| 4424 | A warlike philosopher challenges problems to single combat [Nietzsche] |
| 20768 | Like spiderswebs, dialectical arguments are clever but useless [Ariston, by Diog. Laertius] |
| 10185 | Set theory is the standard background for modern mathematics [Burgess] |
| 10184 | Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess] |
| 10189 | There is no one relation for the real number 2, as relations differ in different models [Burgess] |
| 10186 | If set theory is used to define 'structure', we can't define set theory structurally [Burgess] |
| 10187 | Abstract algebra concerns relations between models, not common features of all the models [Burgess] |
| 10188 | How can mathematical relations be either internal, or external, or intrinsic? [Burgess] |
| 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] |
| 3049 | The chief good is indifference to what lies midway between virtue and vice [Ariston, by Diog. Laertius] |
| 4425 | The overcoming of pity I count among the noble virtues [Nietzsche] |
| 3549 | Ariston says rules are useless for the virtuous and the non-virtuous [Ariston, by Annas] |
| 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] |
| 2887 | I am not an atheist because of reasoning or evidence, but because of instinct [Nietzsche] |