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. |
| 7435 | Dispositions are second-order properties, the property of having some property [Jackson/Pargetter/Prior, by Armstrong] |
| Full Idea: It was proposed that dispositions are second-order properties of objects: the property of having some property. | |
| From: report of Jackson/Pargetter/Prior (Three theses about dispositions [1982]) by David M. Armstrong - Pref to new 'Materialist Theory' p.xvii | |
| A reaction: It seems more plausible to say that dispositions are first-order properties - that is, properties are dispositions, which are causal powers. A disposition to smoke is to have a causal power which leads to smoking. |
| 20716 | False prophets will perform wonders to deceive even the elect [Mark] |
| Full Idea: For false messiahs and false prophets will appear and perform signs and wonders to deceive, if possible, even the elect. | |
| From: St Mark (02: Gospel of St Mark [c.66], 13:22), quoted by Brian Davies - Introduction to the Philosophy of Religion | |
| A reaction: This casts a rather different light on the miracles of Jesus, since they were performed in a context in which even Jesus believed that lots of people (and not just the son of God) could perform miracles. Undermines any Argument from Miracles. |