17 ideas
21901 | 'Difference' refers to that which eludes capture [Deleuze, by May] |
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] |
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] |
21908 | Ontology can be continual creation, not to know being, but to probe the unknowable [Deleuze] |
21902 | 'Being' is univocal, but its subject matter is actually 'difference' [Deleuze] |
21903 | Ontology does not tell what there is; it is just a strange adventure [Deleuze, by May] |
21904 | Being is a problem to be engaged, not solved, and needs a new mode of thinking [Deleuze, by May] |
21729 | Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B] |
3016 | Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius] |