16 ideas
| 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] |
| 7880 | If a blind persons suddenly sees a kestrel, that doesn't make visual and theoretical kestrels different [Papineau on Jackson] |
| 7378 | No one bothers to imagine what it would really be like to have ALL the physical information [Dennett on Jackson] |
| 7377 | Mary learns when she sees colour, so her complete physical information had missed something [Jackson] |
| 7127 | If men are good you should keep promises, but they aren't, so you needn't [Machiavelli] |
| 6309 | The principle foundations of all states are good laws and good armies [Machiavelli] |
| 6306 | People are vengeful, so be generous to them, or destroy them [Machiavelli] |
| 6305 | To retain a conquered state, wipe out the ruling family, and preserve everything else [Machiavelli] |
| 6308 | A sensible conqueror does all his harmful deeds immediately, because people soon forget [Machiavelli] |
| 6307 | A desire to conquer, and men who do it, are always praised, or not blamed [Machiavelli] |
| 7486 | Machiavelli emancipated politics from religion [Machiavelli, by Watson] |