8 ideas
| 9565 | Zermelo made 'set' and 'member' undefined axioms [Zermelo, by Chihara] |
| Full Idea: The terms 'set' and 'is a member of' are primitives of Zermelo's 1908 axiomatization of set theory. They are not given model-theoretic analyses or definitions. | |
| From: report of Ernst Zermelo (works [1920]) by Charles Chihara - A Structural Account of Mathematics 7.5 | |
| A reaction: This looks like good practice if you want to work with sets, but not so hot if you are interested in metaphysics. |
| 3339 | For Zermelo's set theory the empty set is zero and the successor of each number is its unit set [Zermelo, by Blackburn] |
| Full Idea: For Zermelo's set theory the empty set is zero and the successor of each number is its unit set. | |
| From: report of Ernst Zermelo (works [1920]) by Simon Blackburn - Oxford Dictionary of Philosophy p.280 |
| 8978 | Events are made of other things, and are not fundamental to ontology [Bennett] |
| Full Idea: Events are not basic items in the universe; they should not be included in any fundamental ontology...all the truths about them are entailed by and explained and made true by truths that do not involve the event concept. | |
| From: Jonathan Bennett (Events and Their Names [1988], p.12), quoted by Peter Simons - Events 3.1 | |
| A reaction: Given the variable time spans of events, their ability to coincide, their ability to contain no motion, their blatantly conventional component, and their recalcitrance to individuation, I say Bennett is right. |
| 5122 | Maybe consequentialism is a critique of ordinary morality, rather than describing it [Harman] |
| Full Idea: Consequentialism may be put forward not as an attempt to capture intuitive folk morality but rather as a critique of ordinary tuitions. | |
| From: Gilbert Harman (Moral Philosophy meets social psychology [1999], 10.1) | |
| A reaction: It is certainly true that most people are concerned with why an action was performed, and (after initial anger) are prepared to forgive an unintended disaster. We have no moral objections to earthquakes, which have bad consequences. |
| 5123 | Maybe there is no such thing as character, and the virtues and vices said to accompany it [Harman] |
| Full Idea: It may be the case that there is no such thing as character, no ordinary character traits of the sort people think there are, none of the usual moral virtues and vices. | |
| From: Gilbert Harman (Moral Philosophy meets social psychology [1999], 10.1) | |
| A reaction: This would be a devastating fact for virtue theory, if it were true. I don't believe it. He thinks patterns of behaviour result from circumstances, but we give accurate and detailed pictures of people's characters (esp. in novels). |
| 5124 | If a person's two acts of timidity have different explanations, they are not one character trait [Harman] |
| Full Idea: If Herbert is disposed to not speak in history class (but not other subjects), and explanation of this is different from his avoidance of roller coaster rides, then these two dispositions are not special cases of a single character trait. | |
| From: Gilbert Harman (Moral Philosophy meets social psychology [1999], 10.2) | |
| A reaction: A basic Harman argument for denying the existence of character (and hence of virtues). I just say that character traits are more complex than his caricature of them. If I keep imagining disaster and humiliation for myself, that is a character trait. |
| 5125 | Virtue ethics might involve judgements about the virtues of actions, rather than character [Harman] |
| Full Idea: There are variants of virtue ethics that do not require character traits in the ordinary sense. For example, moral thinking might be explicated by appeal to judgements about whether particular actions are just or courageous or whatever. | |
| From: Gilbert Harman (Moral Philosophy meets social psychology [1999], 10.7.1.1) | |
| A reaction: A very interesting proposal (from Judith Jarvis Thomson). This would flatly reject Aristotle, and one presumes that the judgement about the virtue of the action would largely be a matter of pondering cultural conventions (or, perhaps, consequences). |
| 10364 | Facts are about the world, not in it, so they can't cause anything [Bennett] |
| Full Idea: Facts are not the sort of item that can cause anything. A fact is a true proposition (they say); it is not something in the world but is rather something about the world. | |
| From: Jonathan Bennett (Events and Their Names [1988], p.22), quoted by Jonathan Schaffer - The Metaphysics of Causation 1.1 | |
| A reaction: Compare 10361. Good argument, but maybe 'fact' is ambiguous. See Idea 10365. Events are said to be more concrete, and so can do the job, but their individuation also seems to depend on a description (as Davidson has pointed out). |