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. |
| 15540 | You can't deny temporary intrinsic properties by saying the properties are relations (to times) [Lewis] |
| Full Idea: To say that properties are really relations to times is to treat temporary intrinsics (such as my changing shape) as a matter of relations, but then 'intrinsic properties' would not deserve the name, and it is untenable if it denies temporary intrinsics. | |
| From: David Lewis (Rearrangement of Particles [1988], 1) | |
| A reaction: [I have compressed a paragraph; he refers to his 1986:204] If a property is meant to be a 'relation to a time', I am not sure what the relata are meant to be, and I agree with Lewis that this seems a long way from properties. |
| 2594 | A true cause must involve a necessary connection between cause and effect [Malebranche] |
| Full Idea: A true cause as I understand it is one such that the mind perceives a necessary connection between it and its effects. | |
| From: Nicolas Malebranche (The Union of Body and Soul [1675], p.116) |