12 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] |
18439 | Because things can share attributes, we cannot individuate attributes clearly [Quine] |
18442 | You only know an attribute if you know what things have it [Quine] |
18441 | No entity without identity (which requires a principle of individuation) [Quine] |
18440 | Identity of physical objects is just being coextensive [Quine] |
16713 | Philosophers are the forefathers of heretics [Tertullian] |
6610 | I believe because it is absurd [Tertullian] |