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] |
| 15561 | The events that suit semantics may not be the events that suit causation [Lewis] |
| 15565 | Events have inbuilt essences, as necessary conditions for their occurrence [Lewis] |
| 15566 | Events are classes, and so there is a mereology of their parts [Lewis] |
| 15567 | Some events involve no change; they must, because causal histories involve unchanges [Lewis] |
| 15564 | An event is a property of a unique space-time region [Lewis] |
| 15563 | Properties are very abundant (unlike universals), and are used for semantics and higher-order variables [Lewis] |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| 15562 | Causation is a general relation derived from instances of causal dependence [Lewis] |