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. |
| 1497 | For Anaximenes nature is air, which takes different forms by rarefaction and condensation [Anaximenes, by Simplicius] |
| Full Idea: Unlike Anaximander, Anaximenes' underlying nature is not boundless, but specific, since he says that it is air, and claims that it is thanks to rarefaction and condensation that it manifests in different forms in different things. | |
| From: report of Anaximenes (fragments/reports [c.546 BCE], A5) by Simplicius - On Aristotle's 'Physics' 9.24.26- |
| 13605 | Gravity isn't a force, because it produces effects without diminishing [Mayer] |
| Full Idea: If gravity be called a force, a cause is supposed which produces effects without itself diminishing, and incorrect conceptions of the causal connexions of things are thereby fostered. | |
| From: J.R. Mayer (Remarks on the forces of inorganic Nature [1842], p.199), quoted by Brian Ellis - Scientific Essentialism 8.03 | |
| A reaction: This seems like a brilliant prelude to the proposal that gravity is actually the 'curvature' of space (whatever that is!). |