30 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] |
6472 | Continuity is a sufficient criterion for the identity of a rock, but not for part of a smooth fluid [Russell] |
21729 | Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B] |
6473 | Physical things are series of appearances whose matter obeys physical laws [Russell] |
6465 | We need not deny substance, but there seems no reason to assert it [Russell] |
6471 | The assumption by physicists of permanent substance is not metaphysically legitimate [Russell] |
6466 | Where possible, logical constructions are to be substituted for inferred entities [Russell] |
6483 | Russell held that we are aware of states of our own brain [Russell, by Robinson,H] |
8244 | Sense-data are qualities devoid of subjectivity, which are the basis of science [Russell, by Deleuze/Guattari] |
6462 | Sense-data are not mental, but are part of the subject-matter of physics [Russell] |
6463 | Sense-data are objects, and do not contain the subject as part, the way beliefs do [Russell] |
6464 | Sense-data are usually objects within the body, but are not part of the subject [Russell] |
6467 | No sensibile is ever a datum to two people at once [Russell] |
6459 | We do not know whether sense-data exist as objects when they are not data [Russell] |
6460 | 'Sensibilia' are identical to sense-data, without actually being data for any mind [Russell] |
6461 | Ungiven sense-data can no more exist than unmarried husbands [Russell] |
6458 | Individuating sense-data is difficult, because they divide when closely attended to [Russell] |
6469 | Sense-data may be subjective, if closing our eyes can change them [Russell] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
6470 | Matter is the limit of appearances as distance from the object diminishes [Russell] |
6468 | There is 'private space', and there is also the 'space of perspectives' [Russell] |