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. |
| 16706 | Generation is when local motions aggregate to become a single subject [Nicholas of Autrecourt] |
| Full Idea: In the case of natural things there is only local motion. When from such motion there follows an aggregation of natural bodies that are gathered to one another and acquire the nature of a single subject, this is called generation. | |
| From: Nicholas of Autrecourt (Tractatus [1335], Ch. 1) | |
| A reaction: This is explosive atomistic corpuscularianism, three centuries before its appointed date. He was duly suppressed. Can he give an account of the 'nature of a single subject' in this way? |
| 22393 | I don't understand the idea of a reason for acting, but it is probably the agent's interests or desires [Foot] |
| Full Idea: I am sure I do not understand the idea of a reason for acting, and I wonder whether anyone else does either. I incline to the view that all such reasons depend either on the agent's interests (meaning here what is in his interest) or else on his desires. | |
| From: Philippa Foot (Reasons for Actions and Desires [1972], p.156 Post) | |
| A reaction: It seems common to assume that a reason for an action must be something rational, but it makes sense to say that the reason for someone's action was an irrational whim. Is the reason for an action just the cause of the action? |