30 ideas
14239 | The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley] |
14240 | The empty set is something, not nothing! [Oliver/Smiley] |
14241 | We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley] |
14242 | Maybe we can treat the empty set symbol as just meaning an empty term [Oliver/Smiley] |
14243 | The unit set may be needed to express intersections that leave a single member [Oliver/Smiley] |
14234 | If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley] |
14237 | We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley] |
14245 | Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley] |
14246 | If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley] |
14247 | Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley] |
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] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |
23930 | Religion sees infinite value in some things, and irrelevance in the rest [Bell,C] |