10 ideas
| 15938 | Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett] |
| 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] |
| 15939 | For intuitionists it is constructed proofs (which take time) which make statements true [Dummett] |
| 21846 | Bergson was a rallying point, because he emphasised becomings and multiplicities [Bergson, by Deleuze] |
| 21854 | Bergson showed that memory is not after the event, but coexists with it [Bergson, by Deleuze] |