25 ideas
23449 | Interpreting a text is representing it as making sense [Morris,M] |
12268 | Contradiction is impossible [Antisthenes (I), by Aristotle] |
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] |
602 | Some fools think you cannot define anything, but only say what it is like [Antisthenes (I), by Aristotle] |
21705 | Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B] |
23484 | Bipolarity adds to Bivalence the capacity for both truth values [Morris,M] |
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] |
23494 | Conjunctive and disjunctive quantifiers are too specific, and are confined to the finite [Morris,M] |
21719 | Extensionalism means what is true of a function is true of coextensive functions [Linsky,B] |
23451 | Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M] |
23452 | Discriminating things for counting implies concepts of identity and distinctness [Morris,M] |
23460 | To count, we must distinguish things, and have a series with successors in it [Morris,M] |
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] |
23491 | There must exist a general form of propositions, which are predictabe. It is: such and such is the case [Morris,M] |
1664 | I would rather go mad than experience pleasure [Antisthenes (I)] |
21385 | Antisthenes said virtue is teachable and permanent, is life's goal, and is like universal wealth [Antisthenes (I), by Long] |
2631 | Antisthenes says there is only one god, which is nature [Antisthenes (I), by Cicero] |