15 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] |
| 21315 | A tree remains the same in the popular sense, but not in the strict philosophical sense [Butler] |
| 21317 | Despite consciousness fluctuating, we are aware that it belongs to one person [Butler] |
| 21313 | If consciousness of events makes our identity, then if we have forgotten them we didn't exist then [Butler] |
| 21314 | Consciousness presupposes personal identity, so it cannot constitute it [Butler] |
| 21318 | If the self changes, we have no responsibilities, and no interest in past or future [Butler] |
| 23111 | If we say that freedom depends on rationality, the irrational actions are not free [Sidgwick] |
| 23059 | Self-interest is not rational, if the self is just a succession of memories and behaviour [Sidgwick, by Gray] |
| 4129 | It is self-evident (from the point of view of the Universe) that no individual has more importance than another [Sidgwick] |
| 20588 | Sidwick argues for utilitarian institutions, rather than actions [Sidgwick, by Tuckness/Wolf] |