26 ideas
21704 | 'Impredictative' definitions fix a class in terms of the greater class to which it belongs [Linsky,B] |
9456 | Modal logic is multiple systems, shown in the variety of accessibility relations between worlds [Jacquette] |
21705 | Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B] |
7548 | Classes, grouped by a convenient property, are logical constructions [Russell] |
9457 | The two main views in philosophy of logic are extensionalism and intensionalism [Jacquette] |
21727 | Definite descriptions theory eliminates the King of France, but not the Queen of England [Linsky,B] |
9458 | Extensionalists say that quantifiers presuppose the existence of their objects [Jacquette] |
21719 | Extensionalism means what is true of a function is true of coextensive functions [Linsky,B] |
9461 | Intensionalists say meaning is determined by the possession of properties [Jacquette] |
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] |
7545 | Visible things are physical and external, but only exist when viewed [Russell] |
21729 | Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B] |
7549 | If my body literally lost its mind, the object seen when I see a flash would still exist [Russell] |
7553 | Sense-data are purely physical [Russell] |
7546 | A man is a succession of momentary men, bound by continuity and causation [Russell] |
7550 | We could probably, in principle, infer minds from brains, and brains from minds [Russell] |
9460 | Extensionalist semantics forbids reference to nonexistent objects [Jacquette] |
9459 | Extensionalist semantics is circular, as we must know the extension before assessing 'Fa' [Jacquette] |
7551 | Matter is a logical construction [Russell] |
7547 | Matter requires a division into time-corpuscles as well as space-corpuscles [Russell] |
7552 | Six dimensions are needed for a particular, three within its own space, and three to locate that space [Russell] |