10 ideas
10245 | One geometry cannot be more true than another [Poincaré] |
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] |
7776 | Metaphors just mean what their words literally mean [Davidson] |
7777 | We accept a metaphor when we see the sentence is false [Davidson] |
7775 | Understanding a metaphor is a creative act, with no rules [Davidson] |