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. |
| 14367 | An explanation is a causal graph [Woodward,J, by Strevens] |
| Full Idea: On Woodward's manipulationist view, an explanation would take the form of a causal graph. | |
| From: report of James Woodward (Making Things Happen [2003]) by Michael Strevens - No Understanding without Explanation 1 | |
| A reaction: The idea is that causation is all to do with how nature responds when you try to manipulate it. I'm certainly in favour of tying explanation closely to causation. |
| 6382 | The 'grain problem' says physical objects are granular, where sensations appear not to be [Sellars, by Polger] |
| Full Idea: Sellars' Grain Problem contended that it was a problem for materialism that physical objects have a granularity whereas sensations are homogeneous and without grain. | |
| From: report of Wilfrid Sellars (Empiricism and the Philosophy of Mind [1956], Ch. n22) by Thomas W. Polger - Natural Minds Ch.1 n22 | |
| A reaction: This doesn't strike me as a serious problem. I assume that my sensations are granular, but at a level too fine for me to introspect. There are three hundred trillion connections in the brain (Idea 2952), a lot of them involved in sensations. |