13 ideas
9967 | 'Impure' sets have a concrete member, while 'pure' (abstract) sets do not [Jubien] |
21597 | Logical connectives have the highest precision, yet are infected by the vagueness of true and false [Russell, by Williamson] |
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] |
9963 | If we all intuited mathematical objects, platonism would be agreed [Jubien] |
9962 | How can pure abstract entities give models to serve as interpretations? [Jubien] |
9964 | Since mathematical objects are essentially relational, they can't be picked out on their own [Jubien] |
9051 | Since natural language is not precise it cannot be in the province of logic [Russell, by Keefe/Smith] |
9054 | Vagueness is only a characteristic of representations, such as language [Russell] |
15785 | Our commitments are to an 'ontology', but also to an 'ideology', or conceptual system [Hintikka] |
9969 | The empty set is the purest abstract object [Jubien] |
15786 | Commitment to possible worlds is part of our ideology, not part of our ontology [Hintikka] |