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. |
| 15952 | The corpuscles just have shape, size and motion, which explains things without 'sympathies' or 'forces' [Boyle, by Alexander,P] |
| Full Idea: In Boyle's corpuscular philosophy, all material substances are composed of minute particles or corpuscles, with ordinary properties such as shape, size and motion. There was no need for occult relations between them, such as sympathies, or even forces. | |
| From: report of Robert Boyle (The Origin of Forms and Qualities [1666]) by Peter Alexander - Ideas, Qualities and Corpuscles 01.1 |
| 15972 | The corpuscular theory allows motion, but does not include forces between the particles [Boyle, by Alexander,P] |
| Full Idea: Though there is motion, the corpuscles will not be dynamic because the idea of forces between the particles or groups of them does not figure in the theory. | |
| From: report of Robert Boyle (The Origin of Forms and Qualities [1666]) by Peter Alexander - Ideas, Qualities and Corpuscles 5.2 | |
| A reaction: This is the view of Locke, as well as of Boyle. I quote this because I take to it be a particular target of Leibniz's disagreement. |