display all the ideas for this combination of texts
7 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. |
| 8542 | If causality is between events, there must be reference to the properties involved [Shoemaker] |
| Full Idea: Any account of causality as a relation between events should involve, in a central way, reference to the properties of the constituent objects of the events. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §01) | |
| A reaction: This remark, with which I wholeheartedly agree, is aimed at Davidson, who seems to think you need know no more about an event than the way in which someone chooses to describe it. Metaphysics must dig deeper, even if science can't. |
| 8560 | If causal laws describe causal potentialities, the same laws govern properties in all possible worlds [Shoemaker] |
| Full Idea: To the extent that causal laws can be viewed as propositions describing the causal potentialities of properties, it is impossible that the same properties should be governed by different causal laws in different possible worlds. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §08) | |
| A reaction: [He has just asserted that causal potentialities are essential to properties] This is the dramatic basic claim of scientific essentialism, which grows out of Shoemaker's causal account of properties. Note that the laws are just descriptions. |
| 15763 | If properties are causal, then causal necessity is a species of logical necessity [Shoemaker] |
| Full Idea: My theory of properties as causal appears to have the consequence that causal laws are logically necessary, and that causal necessity is just a species of logical necessity. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §09) | |
| A reaction: Where he writes 'logical' necessity I would claim that he really means 'metaphysical' necessity. The point, I take it, is that given the existence of those properties, certain causal efforts must always follow from them. I agree. |
| 8561 | If a world has different causal laws, it must have different properties [Shoemaker] |
| Full Idea: If there are worlds in which the causal laws are different from those that prevail in this world, ..then the properties will have to be different as well. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §09) | |
| A reaction: The next question is whether the same stuff (e.g. gold or water) could have different properties, and I take the the scientific essentialism answer to be 'no'. So the actual stuff (substances?) would have to be different. |
| 8553 | It looks as if the immutability of the powers of a property imply essentiality [Shoemaker] |
| Full Idea: There is a prima facie case for saying that the immutability of the causal potentialities of a property implies their essentiality. ...If they cannot vary across time, they also cannot vary across possible worlds. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §05) | |
| A reaction: This is only the beginning of scientific essentialism, but one of the targets is to save the phenomena. It is also involves unimaginability (of different powers from a given property) implying necessity. |