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] |
| 10496 | Monothetic categories have fixed defining features, and polythetic categories do not [Ellen] |
| 10497 | In symbolic classification, the categories are linked to rules [Ellen] |
| 10495 | Continuous experience sometimes needs imposition of boundaries to create categories [Ellen] |
| 10498 | Classification is no longer held to be rooted in social institutions [Ellen] |
| 23053 | The great interest of the human race is cordial unity and unlimited mutual aid [Owen] |