17 ideas
14779 | I reason in order to avoid disappointment and surprise [Peirce] |
21704 | 'Impredictative' definitions fix a class in terms of the greater class to which it belongs [Linsky,B] |
14777 | That a judgement is true and that we judge it true are quite different things [Peirce] |
21705 | Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B] |
14780 | Only study logic if you think your own reasoning is deficient [Peirce] |
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] |
14778 | Facts are hard unmoved things, unaffected by what people may think of them [Peirce] |
21729 | Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B] |
16713 | Philosophers are the forefathers of heretics [Tertullian] |
6610 | I believe because it is absurd [Tertullian] |