23 ideas
9108 | From an impossibility anything follows [William of Ockham] |
21704 | 'Impredictative' definitions fix a class in terms of the greater class to which it belongs [Linsky,B] |
9107 | A proposition is true if its subject and predicate stand for the same thing [William of Ockham] |
16300 | Ockham had an early axiomatic account of truth [William of Ockham, by Halbach] |
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] |
9106 | The word 'every' only signifies when added to a term such as 'man', referring to all men [William of Ockham] |
21719 | Extensionalism means what is true of a function is true of coextensive functions [Linsky,B] |
9113 | Just as unity is not a property of a single thing, so numbers are not properties of many things [William of Ockham] |
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] |
9110 | The words 'thing' and 'to be' assert the same idea, as a noun and as a verb [William of Ockham] |
21729 | Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B] |
15388 | Universals are single things, and only universal in what they signify [William of Ockham] |
9109 | If essence and existence were two things, one could exist without the other, which is impossible [William of Ockham] |
14802 | Physical and psychical laws of mind are either independent, or derived in one or other direction [Peirce] |
9105 | Some concepts for propositions exist only in the mind, and in no language [William of Ockham] |
14800 | The world is full of variety, but laws seem to produce uniformity [Peirce] |
14801 | Darwinian evolution is chance, with the destruction of bad results [Peirce] |