3 ideas
| 9226 | If mathematical theories conflict, it may just be that they have different subject matter [Field,H] |
| Full Idea: Unlike logic, in the case of mathematics there may be no genuine conflict between alternative theories: it is natural to think that different theories, if both consistent, are simply about different subjects. | |
| From: Hartry Field (Recent Debates on the A Priori [2005], 7) | |
| A reaction: For this reason Field places logic at the heart of questions about a priori knowledge, rather than mathematics. My intuitions make me doubt his proposal. Given the very simple basis of, say, arithmetic, I would expect all departments to connect. |
| 8120 | Objects can be beautiful which express nothing at all, such as the rainbow [Herbart, by Tolstoy] |
| Full Idea: Objects are often beautiful which express nothing at all, as, for instance, the rainbow, which is beautiful for its lines and colours and not for its mythological connexion with Iris, or Noah's rainbow. | |
| From: report of Johann Herbart (works [1830]) by Leo Tolstoy - What is Art? Ch.3 | |
| A reaction: A nice counterexample to Tolstoy's own theory. The example is one of a natural beauty, but it would be harder to find examples in human art. How much the artist may feel, though, has little to do with the success of a work of art. |
| 16764 | The soul conserves the body, as we see by its dissolution when the soul leaves [Toletus] |
| Full Idea: Every accident of a living thing, as well as all its organs and temperaments and its dispositions are conserved by the soul. We see this from experience, since when that soul recedes, all these dissolve and become corrupted. | |
| From: Franciscus Toletus (Commentary on 'De Anima' [1572], II.1.1), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 24.5 | |
| A reaction: A nice example of observing a phenemonon, but not being able to observe the dependence relation the right way round. Compare Descartes in Idea 16763. |