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4 ideas
| 4422 | The end need not be the goal, as in the playing of a melody (and yet it must be completed) [Nietzsche] |
| Full Idea: Not every end is the goal; the end of a melody is not its goal; and yet: as long as the melody has not reached its end, it also hasn't reached its goal. A parable. | |
| From: Friedrich Nietzsche (The Wanderer and his Shadow [1880], §204) | |
| A reaction: A nice message for Aristotle, that there is no simple separation of ends and means. |
| 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. |
| 5393 | We can't know that our laws are exceptionless, or even that there are any laws [Russell] |
| Full Idea: If some law which has no exceptions applies to a case, we can never be sure that we have discovered that law and not one to which there are exceptions; also the reign of law would seem to be itself only probable. | |
| From: Bertrand Russell (Problems of Philosophy [1912], Ch. 6) | |
| A reaction: None of this can be denied. In modern physics, several supposed laws have come up for question. Is the proton stable? Are the gravitational constant or the speed of light necessarily fixed? Russell is doing epistemology. How do we conceive the laws? |