15 ideas
9967 | 'Impure' sets have a concrete member, while 'pure' (abstract) sets do not [Jubien] |
8679 | We perceive the objects of set theory, just as we perceive with our senses [Gödel] |
9942 | Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam] |
9968 | A model is 'fundamental' if it contains only concrete entities [Jubien] |
18062 | Set-theory paradoxes are no worse than sense deception in physics [Gödel] |
9965 | There couldn't just be one number, such as 17 [Jubien] |
10868 | The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg] |
13517 | If set theory is consistent, we cannot refute or prove the Continuum Hypothesis [Gödel, by Hart,WD] |
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] |
10271 | Basic mathematics is related to abstract elements of our empirical ideas [Gödel] |
9969 | The empty set is the purest abstract object [Jubien] |
23559 | We have the concept of 'knowledge' as a label for good informants [Craig, by Fricker,M] |