23 ideas
8996 | If if time is money then if time is not money then time is money then if if if time is not money... [Quine] |
8995 | Definition by words is determinate but relative; fixing contexts could make it absolute [Quine] |
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] |
10064 | Quine quickly dismisses If-thenism [Quine, by Musgrave] |
20296 | Logic needs general conventions, but that needs logic to apply them to individual cases [Quine, by Rey] |
8998 | Claims that logic and mathematics are conventional are either empty, uninteresting, or false [Quine] |
8999 | Logic isn't conventional, because logic is needed to infer logic from conventions [Quine] |
9000 | If a convention cannot be communicated until after its adoption, what is its role? [Quine] |
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] |
8994 | If analytic geometry identifies figures with arithmetical relations, logicism can include geometry [Quine] |
8997 | There are four different possible conventional accounts of geometry [Quine] |
8993 | If mathematics follows from definitions, then it is conventional, and part of logic [Quine] |
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] |
16713 | Philosophers are the forefathers of heretics [Tertullian] |
6610 | I believe because it is absurd [Tertullian] |