12 ideas
| 10882 | Predicative definitions only refer to entities outside the defined collection [Horsten] |
| 18270 | Choice suggests that intensions are not needed to ensure classes [Coffa] |
| 10884 | A theory is 'categorical' if it has just one model up to isomorphism [Horsten] |
| 17809 | Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel] |
| 17810 | The study of mathematical foundations needs new non-mathematical concepts [Kreisel] |
| 10885 | Computer proofs don't provide explanations [Horsten] |
| 10881 | The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten] |
| 18263 | The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa] |
| 18272 | Platonism defines the a priori in a way that makes it unknowable [Coffa] |
| 18266 | Mathematics generalises by using variables [Coffa] |
| 17811 | The natural conception of points ducks the problem of naming or constructing each point [Kreisel] |
| 18279 | Relativity is as absolutist about space-time as Newton was about space [Coffa] |