15 ideas
| 21463 | Hamann, Herder and Jacobi were key opponents of the Enlightenment [Gardner] |
| 21459 | Kant halted rationalism, and forced empiricists to worry about foundations [Gardner] |
| 21460 | Only Kant and Hegel have united nature, morals, politics, aesthetics and religion [Gardner] |
| 21443 | Transcendental proofs derive necessities from possibilities (e.g. possibility of experiencing objects) [Gardner] |
| 23445 | Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo] |
| 23447 | In classical semantics singular terms refer, and quantifiers range over domains [Linnebo] |
| 23443 | The axioms of group theory are not assertions, but a definition of a structure [Linnebo] |
| 23444 | To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo] |
| 21444 | Modern geoemtry is either 'pure' (and formal), or 'applied' (and a posteriori) [Gardner] |
| 23446 | You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo] |
| 23448 | Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo] |
| 23441 | Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo] |
| 23442 | Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo] |
| 21453 | Leibnizian monads qualify as Kantian noumena [Gardner] |
| 16383 | Puzzled Pierre has two mental files about the same object [Recanati on Kripke] |