13 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] |
| 18260 | If we knew what we know, we would be astonished [Kant] |
| 16736 | Explanation is generally to deduce it from something better known, which comes in degrees [Boyle] |
| 16737 | The best explanations get down to primary basics, but others go less deep [Boyle] |