35 ideas
1813 | All reasoning endlessly leads to further reasoning (Mode 12) [Agrippa, by Diog. Laertius] |
1811 | Proofs often presuppose the thing to be proved (Mode 15) [Agrippa, by Diog. Laertius] |
1815 | Reasoning needs arbitrary faith in preliminary hypotheses (Mode 14) [Agrippa, by Diog. Laertius] |
1812 | All discussion is full of uncertainty and contradiction (Mode 11) [Agrippa, by Diog. Laertius] |
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] |
21729 | Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B] |
8850 | Agrippa's Trilemma: justification is infinite, or ends arbitrarily, or is circular [Agrippa, by Williams,M] |
1814 | Everything is perceived in relation to another thing (Mode 13) [Agrippa, by Diog. Laertius] |
23928 | Good art produces exaltation and detachment [Bell,C] |
23922 | The word 'beauty' leads to confusion, because it denotes distinct emotions [Bell,C] |
23921 | Our feeling for natural beauty is different from the aesthetic emotion of art [Bell,C] |
23929 | We only see landscapes as artistic if we ignore their instrumental value [Bell,C] |
23923 | Visual form can create a sublime mental state [Bell,C] |
23932 | Art is the expression of an emotion for ultimate reality [Bell,C] |
23927 | Aestheticism invites artist to create beauty, but with no indication of how to do it [Bell,C] |
8115 | Only artists can discern significant form; other people must look to art to find it [Bell,C, by Gardner] |
23924 | Maybe significant form gives us a feeling for ultimate reality [Bell,C] |
23931 | Significant form is the essence of art, which I believe expresses an emotion about reality [Bell,C] |
20434 | 'Form' is visual relations, and it is 'significant' if it moves us aesthetically; art needs both [Bell,C, by Feagin] |
23934 | The only expression art could have is the emotion resulting from pure form [Bell,C] |
23925 | Mere copies of pictures are not significant - unless the copies are very exact [Bell,C] |
23926 | Art is distinguished by its aesthetic emotion, which produces appropriate form [Bell,C] |
23933 | Aesthetic contemplation is the best and most intense mental state [Bell,C] |
23935 | Aesthetic experience is an exaltation which increases the possibilities of life [Bell,C] |
22691 | Only artistic qualities matter in art, because they also have the highest moral value [Bell,C] |
23930 | Religion sees infinite value in some things, and irrelevance in the rest [Bell,C] |