12 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] |
| 23633 | Many truths seem obvious, and point to universal agreement - which is what we find [Reid] |
| 23630 | Only philosophers treat ideas as objects [Reid] |
| 23629 | The ambiguity of words impedes the advancement of knowledge [Reid] |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| 23632 | Similar effects come from similar causes, and causes are only what are sufficient for the effects [Reid] |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |