36 ideas
9572 | Realists about sets say there exists a null set in the real world, with no members [Chihara] |
9550 | We only know relational facts about the empty set, but nothing intrinsic [Chihara] |
9562 | In simple type theory there is a hierarchy of null sets [Chihara] |
9573 | The null set is a structural position which has no other position in membership relation [Chihara] |
9551 | What is special about Bill Clinton's unit set, in comparison with all the others? [Chihara] |
9549 | The set theorist cannot tell us what 'membership' is [Chihara] |
9571 | ZFU refers to the physical world, when it talks of 'urelements' [Chihara] |
9563 | A pack of wolves doesn't cease when one member dies [Chihara] |
9561 | The mathematics of relations is entirely covered by ordered pairs [Chihara] |
9552 | Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara] |
9553 | Analytic geometry gave space a mathematical structure, which could then have axioms [Chihara] |
10192 | We can replace existence of sets with possibility of constructing token sentences [Chihara, by MacBride] |
9559 | If a successful theory confirms mathematics, presumably a failed theory disconfirms it? [Chihara] |
9566 | No scientific explanation would collapse if mathematical objects were shown not to exist [Chihara] |
16668 | Modes of things exist in some way, without being full-blown substances [Gassendi] |
9568 | I prefer the open sentences of a Constructibility Theory, to Platonist ideas of 'equivalence classes' [Chihara] |
9547 | Mathematical entities are causally inert, so the causal theory of reference won't work for them [Chihara] |
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] |
9574 | 'Gunk' is an individual possessing no parts that are atoms [Chihara] |
23930 | Religion sees infinite value in some things, and irrelevance in the rest [Bell,C] |