11 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] |
| 3644 | Two things being joined together doesn't prove they are the same [Descartes] |
| 16050 | The goodness of a picture supervenes on the picture; duplicates must be equally good [Hare] |
| 3621 | Only judgement decides which of our senses are reliable [Descartes] |
| 2855 | In primary evaluative words like 'ought' prescription is constant but description can vary [Hare, by Hooker,B] |
| 3637 | Ideas in God's mind only have value if he makes it so [Descartes] |