14 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] |
| 7544 | Many people imagine that to experience is to understand [Goethe] |
| 7541 | Man never understands how anthropomorphic he is [Goethe] |
| 7543 | We gain self-knowledge through action, not thought - especially when doing our duty [Goethe] |
| 7540 | Beauty is a manifestation of secret natural laws [Goethe] |
| 7538 | The happiest people link the beginning and end of life [Goethe] |
| 7542 | The best form of government teaches us to govern ourselves [Goethe] |
| 21097 | Modern monarchies are (like republics) rule by law, rather than by men [Hume] |
| 7539 | To get duties from people without rights, you must pay them well [Goethe] |