6 ideas
| 21554 | Sets always exceed terms, so all the sets must exceed all the sets [Lackey] |
| Full Idea: Cantor proved that the number of sets in a collection of terms is larger than the number of terms. Hence Cantor's Paradox says the number of sets in the collection of all sets must be larger than the number of sets in the collection of all sets. | |
| From: Douglas Lackey (Intros to Russell's 'Essays in Analysis' [1973], p.127) | |
| A reaction: The sets must count as terms in the next iteration, but that is a normal application of the Power Set axiom. |
| 21553 | It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey] |
| Full Idea: The ordinal series is well-ordered and thus has an ordinal number, and a series of ordinals to a given ordinal exceeds that ordinal by 1. So the series of all ordinals has an ordinal number that exceeds its own ordinal number by 1. | |
| From: Douglas Lackey (Intros to Russell's 'Essays in Analysis' [1973], p.127) | |
| A reaction: Formulated by Burali-Forti in 1897. |
| 2599 | Either intentionality causes things, or epiphenomenalism is true [Fodor] |
| Full Idea: The avoidance of epiphenomenalism requires making it plausible that intentional properties can meet sufficient conditions for causal responsibility. | |
| From: Jerry A. Fodor (Making Mind Matter More [1989], p.154) | |
| A reaction: A wordy way of saying we either have epiphenomenalism, or the mind had better do something - and a good theory will show how. The biggest problem of the mind may not be Chalmer's Hard Question (qualia), but how thought-contents cause things. |
| 2597 | Contrary to the 'anomalous monist' view, there may well be intentional causal laws [Fodor] |
| Full Idea: I argue that (contrary to the doctrine called "anomalous monism") there is no good reason to doubt that there are intentional causal laws. | |
| From: Jerry A. Fodor (Making Mind Matter More [1989], p.151) | |
| A reaction: I certainly can't see a good argument, in Davidson or anywhere else, to demonstrate their impossibility. Give the complexity of the brain, they would be like the 'laws' for weather or geology. |
| 2598 | Lots of physical properties are multiply realisable, so why shouldn't beliefs be? [Fodor] |
| Full Idea: If one of your reasons for doubting that believing-that-P is a physical property is that believing is multiply realizable, then you have the same reason for doubting that being an airfoil (or a mountain) counts as a physical property. | |
| From: Jerry A. Fodor (Making Mind Matter More [1989], p.153) | |
| A reaction: This merely points out that functionalism is not incompatible with physicalism, which must be right. |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom. | |
| From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88) | |
| A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate'). |