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. |
| 12113 | The search for first or final causes is futile [Comte] |
| Full Idea: We regard the search after what are called causes, whether first or final, as absolutely inaccessible and unmeaning. | |
| From: Auguste Comte (Intro to Positive Philosophy [1830], Ch.1) | |
| A reaction: This remark lies behind Russell's rejection of the notion of cause in scientific thinking. Personally it seems to me indispensable, even if we accept that the pursuit of 'final' causes is fairly hopeless. We don't know where the quest will lead. |
| 12110 | We can never know origins, purposes or inner natures [Comte] |
| Full Idea: The inner nature of objects, or the origin and purpose of all phenomena, are the most insoluble questions. | |
| From: Auguste Comte (Intro to Positive Philosophy [1830], Ch.1) | |
| A reaction: I take it that this Humean pessimism about science ever penetrating below the surface is precisely what is challenged by modern science, and that 'scientific essentialism' is catching up with what has happened. 'Inner' is knowable, bottom level isn't. |