display all the ideas for this combination of texts
4 ideas
| 8660 | There are potential infinities (never running out), but actual infinity is incoherent [Aristotle, by Friend] |
| Full Idea: Aristotle developed his own distinction between potential infinity (never running out) and actual infinity (there being a collection of an actual infinite number of things, such as places, times, objects). He decided that actual infinity was incoherent. | |
| From: report of Aristotle (works [c.330 BCE]) by Michèle Friend - Introducing the Philosophy of Mathematics 1.3 | |
| A reaction: Friend argues, plausibly, that this won't do, since potential infinity doesn't make much sense if there is not an actual infinity of things to supply the demand. It seems to just illustrate how boggling and uncongenial infinity was to Aristotle. |
| 12058 | Aristotle's matter can become any other kind of matter [Aristotle, by Wiggins] |
| Full Idea: Aristotle's conception of matter permits any kind of matter to become any other kind of matter. | |
| From: report of Aristotle (works [c.330 BCE]) by David Wiggins - Substance 4.11.2 | |
| A reaction: This is obviously crucial background information when we read Aristotle on matter. Our 92+ elements, and fixed fundamental particles, gives a quite different picture. Aristotle would discuss form and matter quite differently now. |
| 16946 | Causation is just invariance, as long as it is described in general terms [Quine on Hume] |
| Full Idea: Hume explained cause as invariable succession, and this makes sense as long as the cause and effect are referred to by general terms. … This account leaves singular causal statements unexplained. | |
| From: comment on David Hume (Treatise of Human Nature, + Appendix [1740]) by Willard Quine - Natural Kinds p.131 | |
| A reaction: A nice 20th century linguistic point made against a good 18th century theory. |
| 15250 | If impressions, memories and ideas only differ in vivacity, nothing says it is memory, or repetition [Whitehead on Hume] |
| Full Idea: Hume confuses 'repetition of impressions' with 'impression of repetitions of impressions'. ...In order of 'force and vivacity' we have: impressions, memories, ideas. This omits the vital fact that memory is memory; the notion of repetition is lost. | |
| From: comment on David Hume (Treatise of Human Nature, + Appendix [1740]) by Alfred North Whitehead - Process and Reality V.II | |
| A reaction: [compressed; Harré and Madden spotted this idea] This seems to pinpoint rather nicely the hopeless thinness of Hume's account. He is so desperate to get it down to minimal empirical experience that his explanations are too thin. One big idea.... |