10 ideas
| 291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
| 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] |
| 22518 | The actual must be possible, because it occurred [Aristotle] |
| 16566 | Poetry is more philosophic than history, as it concerns universals, not particulars [Aristotle] |
| 293 | Being unafraid (perhaps through ignorance) and being brave are two different things [Plato] |