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. |
| 24140 | Cause and effect is a hypothesis, based on our supposed willing of actions [Nietzsche] |
| Full Idea: Cause and effect is not a truth but rather a hypothesis - and indeed the one which we use to anthropomorphise the world for ourselves, bringing it in closer proximity to our feelings ('willing' is projected into it). | |
| From: Friedrich Nietzsche (Unpublished Notebooks 1884-85 [1884], 25[371]) | |
| A reaction: That is (I think), we read the gap between thought and action onto natural external events, dividing them up. We treat the flow of events as if they were agent causation. Modern theories seem close to Nietzsche's unified view. |