11 ideas
9967 | 'Impure' sets have a concrete member, while 'pure' (abstract) sets do not [Jubien] |
10121 | Contradiction is not a sign of falsity, nor lack of contradiction a sign of truth [Pascal] |
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] |
14742 | It can't be indeterminate whether x and y are identical; if x,y is indeterminate, then it isn't x,x [Salmon,N] |
9969 | The empty set is the purest abstract object [Jubien] |
18885 | Kripke and Putnam made false claims that direct reference implies essentialism [Salmon,N] |