19 ideas
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] |
21729 | Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B] |
12732 | Some necessary truths are brute, and others derive from final causes [Leibniz] |
19438 | Our large perceptions and appetites are made up tiny unconscious fragments [Leibniz] |
19415 | Passions reside in confused perceptions [Leibniz] |
20482 | Virtue inspires Stoics, but I want a good temperament [Montaigne] |
20480 | There is not much point in only becoming good near the end of your life [Montaigne] |
20481 | Nothing we say can be worse than unsaying it in the face of authority [Montaigne] |
20479 | People at home care far more than soldiers risking death about the outcome of wars [Montaigne] |
19439 | God produces possibilities, and thus ideas [Leibniz] |