23 ideas
18776 | Contextual definitions eliminate descriptions from contexts [Linsky,B] |
21704 | 'Impredictative' definitions fix a class in terms of the greater class to which it belongs [Linsky,B] |
21705 | Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B] |
18774 | Definite descriptions, unlike proper names, have a logical structure [Linsky,B] |
21727 | Definite descriptions theory eliminates the King of France, but not the Queen of England [Linsky,B] |
21719 | Extensionalism means what is true of a function is true of coextensive functions [Linsky,B] |
21723 | The task of logicism was to define by logic the concepts 'number', 'successor' and '0' [Linsky,B] |
21721 | Higher types are needed to distinguished intensional phenomena which are coextensive [Linsky,B] |
21703 | Types are 'ramified' when there are further differences between the type of quantifier and its range [Linsky,B] |
21714 | The ramified theory subdivides each type, according to the range of the variables [Linsky,B] |
21713 | Did logicism fail, when Russell added three nonlogical axioms, to save mathematics? [Linsky,B] |
21715 | For those who abandon logicism, standard set theory is a rival option [Linsky,B] |
21729 | Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B] |
7127 | If men are good you should keep promises, but they aren't, so you needn't [Machiavelli] |
6309 | The principle foundations of all states are good laws and good armies [Machiavelli] |
6306 | People are vengeful, so be generous to them, or destroy them [Machiavelli] |
6305 | To retain a conquered state, wipe out the ruling family, and preserve everything else [Machiavelli] |
6308 | A sensible conqueror does all his harmful deeds immediately, because people soon forget [Machiavelli] |
7810 | The 'Eumenides' of Aeschylus shows blood feuds replaced by law [Aeschylus, by Grayling] |
6307 | A desire to conquer, and men who do it, are always praised, or not blamed [Machiavelli] |
7486 | Machiavelli emancipated politics from religion [Machiavelli, by Watson] |
19813 | All legislators invoke God in support of extraordinary laws, because their justification is not obvious [Machiavelli] |
7126 | Rulers should preserve the foundations of religion, to ensure good behaviour and unity [Machiavelli] |