13 ideas
9967 | 'Impure' sets have a concrete member, while 'pure' (abstract) sets do not [Jubien] |
10196 | The Axiom of Choice needs a criterion of choice [Black] |
9968 | A model is 'fundamental' if it contains only concrete entities [Jubien] |
9965 | There couldn't just be one number, such as 17 [Jubien] |
9966 | The subject-matter of (pure) mathematics is abstract structure [Jubien] |
9962 | How can pure abstract entities give models to serve as interpretations? [Jubien] |
9963 | If we all intuited mathematical objects, platonism would be agreed [Jubien] |
9964 | Since mathematical objects are essentially relational, they can't be picked out on their own [Jubien] |
4442 | Most thinkers now reject self-predication (whiteness is NOT white) so there is no Third Man problem [Armstrong] |
9969 | The empty set is the purest abstract object [Jubien] |
10194 | Two things can only be distinguished by a distinct property or a distinct relation [Black] |
10193 | The 'property' of self-identity is uselessly tautological [Black] |
10195 | If the universe just held two indiscernibles spheres, that refutes the Identity of Indiscernibles [Black] |