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. |
| 490 | Everything happens by reason and necessity [Leucippus] |
| Full Idea: Nothing happens at random; everything happens out of reason and by necessity. | |
| From: Leucippus (fragments/reports [c.435 BCE], B002), quoted by (who?) - where? |
| 6668 | If the present does not exist, then consciousness must be memory of the immediate past [Marshall] |
| Full Idea: Given the paradoxical nature of the 'present' moment, maybe we should understand ALL consciousness as memory, with the split second of the 'specious present' being very vivid and very brief memory, with the rest of the mind remembering in lower degrees. | |
| From: David Marshall (talk [2004]), quoted by PG - Db (ideas) | |
| A reaction: This strikes me as a highly plausible, and very illuminating remark. For the time paradox, see Ideas 1904 and 5102. Anyone researching consciousness in the brain should think about this, because it will just be a special sort of memory neurons. |