7 ideas
| 17813 | Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP] |
| Full Idea: The Löwenheim-Skolem theorem tells us that any theory with a true interpretation has a model in the natural numbers. | |
| From: Nicholas P. White (What Numbers Are [1974], V) |
| 17812 | Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP] |
| Full Idea: Statements involving finite cardinalities can be made without treating numbers as objects at all, simply by using quantification and identity to define numerically definite quantifiers in the manner of Frege. | |
| From: Nicholas P. White (What Numbers Are [1974], IV) | |
| A reaction: [He adds Quine 1960:268 as a reference] |
| 19087 | The meaning or purport of a symbol is all the rational conduct it would lead to [Peirce] |
| Full Idea: The entire intellectual purport of any symbol consists in the total of all modes of rational conduct which, conditionally upon all the possible different circumstances and desires, would ensue upon the acceptance of the symbol. | |
| From: Charles Sanders Peirce (Issues of Pragmaticism [1905], EP ii.246), quoted by Danielle Macbeth - Pragmatism and Objective Truth p.169 n1 | |
| A reaction: Macbeth says pragmatism is founded on this theory of meaning, rather than on a theory of truth. I don't see why the causes of a symbol shouldn't be as much a part of its meaning as the consequences are. |
| 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? |