display all the ideas for this combination of texts
11 ideas
| 1517 | The tektraktys (1+2+3+4=10) is the 'fount of ever-flowing nature' [Sext.Empiricus] |
| Full Idea: The tektraktys (1+2+3+4=10) is the 'fount of ever-flowing nature', because nature is a harmony of three concords (4th,5th and octave), and these ratios (4:3, 3:2, and 2:1) are found in the tektraktys. | |
| From: Sextus Empiricus (Against the Professors (six books) [c.180], 7.95) |
| 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. |
| 4210 | If the concept of a cause says it precedes its effect, that rules out backward causation by definition [Lowe] |
| Full Idea: You can't include in your concept of causation a clause stipulating that the cause occurred earlier than the effect, because that would rule out backward causation by definition. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.176) | |
| A reaction: It may, though, be the case that backward causes can't occur, and time is essential to causes. The problem is our inability to know this for sure. |
| 4209 | The theories of fact causation and event causation are both worth serious consideration [Lowe] |
| Full Idea: The theories of fact causation and event causation are both worth serious consideration. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.173) | |
| A reaction: This is slippery ground because both 'facts' and 'events' have uncertain ontological status, and seem partly conventional rather than natural. Events might be natural surges or transformations of energy? |
| 4215 | It seems proper to say that only substances (rather than events) have causal powers [Lowe] |
| Full Idea: It seems proper to say that events of themselves possess no causal powers; only persisting objects (individual substances) possess causal powers. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.211) | |
| A reaction: This requires events to be reduced to substances, which invites Aristotle's question of where the movement comes from. In physcis, 'energy' is the key concept. |
| 4211 | Causal overdetermination is either actual overdetermination, or pre-emption, or the fail-safe case [Lowe] |
| Full Idea: In causation there is 'overdetermination' (c and d occurred, and were both sufficient for e), 'pre-emption' (c and d occurred, and d would have stepped in if c hadn't), or 'fail-safe' (if c hadn't occurred, d would have occurred and done it). | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.179) | |
| A reaction: Two safety nets together, two safety nets spaced apart, or a second net which pops in if the first breaks. Nice distinctions. |
| 4213 | Causation may be instances of laws (seen either as constant conjunctions, or as necessities) [Lowe] |
| Full Idea: Causation relations between events may an instance of a causal law, with laws either interpreted as constant conjunctions (Hume), or as necessitation among universals (Armstrong). | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.190) | |
| A reaction: Hume's version is a thin idea of a law, but we can dream about the metaphysical status of laws, even if we don't know much about them. Lowe says a cause without a law is perfectly intelligible. |
| 4212 | Hume showed that causation could at most be natural necessity, never metaphysical necessity [Lowe] |
| Full Idea: One thing Hume has taught us is that the necessity which causation involves is at most 'natural' or 'physical' necessity, not metaphysical necessity. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.182) | |
| A reaction: Given Hume's epistemological scepticism, I don't think he would claim to have shown such a thing. See G.Strawson's book. Metaphysical necessity of causation is possible, but unknowable. |
| 14581 | The normative view says laws show the natural behaviour of natural kind members [Lowe, by Mumford/Anjum] |
| Full Idea: For Lowe law statements are in a sense about what 'ought' to be the case. The 'ought' is not an explicitly moral or anthropomorphic one but instead tells us what is the natural behaviour of kind members. | |
| From: report of E.J. Lowe (A Survey of Metaphysics [2002]) by S.Mumford/R.Lill Anjum - Getting Causes from Powers 8.6 | |
| A reaction: This is the 'normative' view of laws (as opposed to the intentional, dispositional, or regularity accounts). They cite Lowe 1989 Ch.8. The obvious immediate problem is things which evolved for one purpose and end up being used for another. |
| 4208 | 'If he wasn't born he wouldn't have died' doesn't mean birth causes death, so causation isn't counterfactual [Lowe] |
| Full Idea: Counterfactual analyses of event causation don't seem to work, because 'if Napoleon hadn't been born he wouldn't have died' is true, but doesn't mean his birth caused his death. | |
| From: E.J. Lowe (A Survey of Metaphysics [2002], p.161) | |
| A reaction: Nice counterexample, which looks pretty conclusive. Birth makes death possible; it creates the necessary conditions within which it can be caused. |