display all the ideas for this combination of texts
4 ideas
2280 | Many causes are quite baffling, so it is absurd to deduce causes from final purposes [Descartes] |
Full Idea: God can make unnumerable things whose cause escapes me, and for this reason alone the entire class of causes which people customarily derive from a thing's "end", I judge to be utterly useless in physics. | |
From: René Descartes (Meditations [1641], §4.55) | |
A reaction: anti-Aristotle |
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. |
2272 | There must be at least as much in the cause as there is in the effect [Descartes] |
Full Idea: There must be at least as much in the cause as there is in the effect. | |
From: René Descartes (Meditations [1641], §3.49) |