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] |
| 8439 | Maybe each event has only one possible causal history [Bennett] |
| 8440 | Maybe an event's time of occurrence is essential to it [Bennett] |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| 8441 | Delaying a fire doesn't cause it, but hastening it might [Bennett] |
| 8436 | Either cause and effect are subsumed under a conditional because of properties, or it is counterfactual [Bennett] |
| 8435 | Causes are between events ('the explosion') or between facts/states of affairs ('a bomb dropped') [Bennett] |
| 8438 | A counterfactual about an event implies something about the event's essence [Bennett] |
| 8437 | The full counterfactual story asserts a series of events, because counterfactuals are not transitive [Bennett] |