3 ideas
| 20947 | Thoughts are learnt through words, so language shows the limits and shape of our knowledge [Herder] |
| Full Idea: If it is true that we cannot think without thoughts, and that we learn to think through words: then language gives the whole of human knowledge its limits and outline. | |
| From: Johann Gottfried Herder (On Recent German Literature. Fragments [1767], p.373), quoted by Andrew Bowie - Introduction to German Philosophy | |
| A reaction: Deomonstrating that Frege's famous 1884 'linguistic turn', immortalised by Dummett, was actually the continuation of a long focus on language in German philosophy. Non-verbal animals very obviously think. |
| 4298 | All items of possible human knowledge are interconnected, and can be reached by inference [Descartes] |
| Full Idea: All the items of knowledge that lie within the reach of the human mind are linked together with a marvellous bond, and can be derived from each other by necessary inferences. | |
| From: René Descartes (unfinished dialogue [1649]) | |
| A reaction: It does seem that God ought to be able to infer all empirical facts from first principles. But how do you get started? |
| 10245 | One geometry cannot be more true than another [Poincaré] |
| Full Idea: One geometry cannot be more true than another; it can only be more convenient. | |
| From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics | |
| A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate. |