9 ideas
291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
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] |
14963 | Surely the past phases of a thing are not parts of the thing? [Broad] |
293 | Being unafraid (perhaps through ignorance) and being brave are two different things [Plato] |