12 ideas
18261 | A simplification which is complete constitutes a definition [Kant] |
9967 | 'Impure' sets have a concrete member, while 'pure' (abstract) sets do not [Jubien] |
22275 | Logic gives us the necessary rules which show us how we ought to think [Kant] |
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] |
9969 | The empty set is the purest abstract object [Jubien] |
15793 | We can take 'ways things might have been' as irreducible elements in our ontology [Stalnaker, by Lycan] |
18260 | If we knew what we know, we would be astonished [Kant] |