14 ideas
9967 | 'Impure' sets have a concrete member, while 'pure' (abstract) sets do not [Jubien] |
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] |
5044 | Reality must be made of basic unities, which will be animated, substantial points [Leibniz] |
9969 | The empty set is the purest abstract object [Jubien] |
5045 | No machine or mere organised matter could have a unified self [Leibniz] |
5046 | The soul does know bodies, although they do not influence one another [Leibniz] |
12165 | Romantics say music expresses ideas, or the Will, or intuitions, or feelings [Scruton] |
12164 | Expressing melancholy is a good thing, but arousing it is a bad thing [Scruton] |
5043 | To regard animals as mere machines may be possible, but seems improbable [Leibniz] |