display all the ideas for this combination of texts
3 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. |
| 14349 | If there are no finks or antidotes at the fundamental level, the laws can't be ceteris paribus [Burge, by Corry] |
| Full Idea: Bird argues that there are no finks at the fundamental level, and unlikely to be any antidotes. It then follows that laws at the fundamental level will all be strict - not ceteris paribus - laws. | |
| From: report of Tyler Burge (Intellectual Norms and Foundations of Mind [1986]) by Richard Corry - Dispositional Essentialism Grounds Laws of Nature? 3 | |
| A reaction: [Bird's main target is Nancy Cartwright 1999] This is a nice line of argument. Isn't part of the ceteris paribus problem that two fundamental laws might interfere with one another? |