14 ideas
21959 | Metaphysics is the most general attempt to make sense of things [Moore,AW] |
9967 | 'Impure' sets have a concrete member, while 'pure' (abstract) sets do not [Jubien] |
17879 | Axiomatising set theory makes it all relative [Skolem] |
9968 | A model is 'fundamental' if it contains only concrete entities [Jubien] |
17878 | If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem] |
9965 | There couldn't just be one number, such as 17 [Jubien] |
17880 | Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem] |
9966 | The subject-matter of (pure) mathematics is abstract structure [Jubien] |
17881 | Mathematician want performable operations, not propositions about objects [Skolem] |
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] |
21958 | Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW] |