11 ideas
| 13451 | The two best understood conceptions of set are the Iterative and the Limitation of Size [Rayo/Uzquiano] |
| Full Idea: The two best understood conceptions of set are the Iterative Conception and the Limitation of Size Conception. | |
| From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.2.2) |
| 13452 | Some set theories give up Separation in exchange for a universal set [Rayo/Uzquiano] |
| Full Idea: There are set theories that countenance exceptions to the Principle of Separation in exchange for a universal set. | |
| From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.2.2) |
| 13449 | We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano] |
| Full Idea: The possibility of unrestricted quantification does not immediately presuppose the existence of an all-inclusive domain. One could deny an all-inclusive domain but grant that some quantifications are sometimes unrestricted. | |
| From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.1) | |
| A reaction: Thus you can quantify over anything you like, but only from what is available. Eat what you like (in this restaurant). |
| 13450 | Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano] |
| Full Idea: There are doubts about whether absolute generality is possible, if there are certain concepts which are indefinitely extensible, lacking definite extensions, and yielding an ever more inclusive hierarchy. Sets and ordinals are paradigm cases. | |
| From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.2.1) |
| 13453 | Perhaps second-order quantifications cover concepts of objects, rather than plain objects [Rayo/Uzquiano] |
| Full Idea: If one thought of second-order quantification as quantification over first-level Fregean concepts [note: one under which only objects fall], talk of domains might be regimented as talk of first-level concepts, which are not objects. | |
| From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.2.2) | |
| A reaction: That is (I take it), don't quantify over objects, but quantify over concepts, but only those under which known objects fall. One might thus achieve naïve comprehension without paradoxes. Sound like fun. |
| 13448 | The domain of an assertion is restricted by context, either semantically or pragmatically [Rayo/Uzquiano] |
| Full Idea: We generally take an assertion's domain of discourse to be implicitly restricted by context. [Note: the standard approach is that this restriction is a semantic phenomenon, but Kent Bach (2000) argues that it is a pragmatic phenomenon] | |
| From: Rayo,A/Uzquiasno,G (Introduction to 'Absolute Generality' [2006], 1.1) | |
| A reaction: I think Kent Bach is very very right about this. Follow any conversation, and ask what the domain is at any moment. The reference of a word like 'they' can drift across things, with no semantics to guide us, but only clues from context and common sense. |
| 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'). |
| 23601 | Leaders can only attack foreigners who have done wrong (as with their own subjects) [Vitoria] |
| Full Idea: A political leader cannot have greater authority over foreigners than over his own subjects; but he may not draw the sword against his own subjects unless they have done wrong; therefore he can only do so against foreigners in the same circumstances. | |
| From: Francis de Vitoria (On the Law of War [1525], p.303), quoted by Jeff McMahan - Killing in War 1.4 | |
| A reaction: The question would then be whether they have 'done some wrong' against this leader, or against some other people (such as their fellow citizens). That would be the 'intervention' justification. Are they engaged in the wrong, or responsible for it? |
| 23569 | The only just cause for a war is a wrong received [Vitoria] |
| Full Idea: There is a single and only just cause for commencing a war, namely, a wrong received. | |
| From: Francis de Vitoria (On the Law of War [1525], p.170), quoted by Michael Walzer - Just and Unjust Wars 04 | |
| A reaction: Walzer affirms this as one the principles of international law. In particular, mere differences of religion or politics cannot justify a war. The tricky bit is when the participants don't agree on the severity of the wrong. |
| 23566 | Princes should not justify a war to their subjects, and doing so would undermine the state [Vitoria] |
| Full Idea: A prince is not able and ought not always to render reasons for the war to its subjects, and if the subjects cannot serve in the war except they be satisfied of its justice, the state would fall into grave peril. | |
| From: Francis de Vitoria (On the Law of War [1525], p.176), quoted by Michael Walzer - Just and Unjust Wars 03 | |
| A reaction: This medieval view depends entirely on the absolute sovereignty of princes, and confidence that princes are wise and innately just. No student of history should believe such wicked nonsense. |
| 23576 | Sacking a city is lawful if it motivates the attacking troops [Vitoria] |
| Full Idea: It is not unlawful to put a city to sack, if it is necessary for the conduct of the war …as a spur to the courage of the troops. | |
| From: Francis de Vitoria (On the Law of War [1525], p.184), quoted by Michael Walzer - Just and Unjust Wars 08 | |
| A reaction: Hideous. Presumably this would include raping the women. Could you motivate a football team in a similar way? Or to get your children to pass exams? |