3 ideas
| 13007 | Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz] |
| Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points. | |
| From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13 | |
| A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry. |
| 16695 | Successive entities are in flux, flowing in existence, with different parts at different times [Oresme] |
| Full Idea: For any time, some of a successive entity exists in one of its parts, and a totally different such exists in another part. …It is in continuous flux and transition, ..and flows in existence if it does not have the same existence over a whole time. | |
| From: Nicole Oresme (On 'Physics' [1346], III.6, dist.1), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 18.1 | |
| A reaction: Pasnau says the successive entity is the whole made up of these changing parts, so it sounds very like the temporal stages view of Sider and Hawley. |
| 15877 | The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré] |
| Full Idea: In Poincaré's view, we try to construct a language within which the brute facts of experience are expressed as comprehensively and as elegantly as possible. The job of science is the forging of a language precisely suited to that purpose. | |
| From: report of Henri Poincaré (The Value of Science [1906], Pt III) by Rom Harré - Laws of Nature 2 | |
| A reaction: I'm often struck by how obscure and difficult our accounts of self-evident facts can be. Chairs are easy, and the metaphysics of chairs is hideous. Why is that? I'm a robust realist, but I like Poincaré's idea. He permits facts. |