17 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] |
22687 | Maybe literary assessment is evaluating the artist as a suitable friend [Gaut] |
22686 | Formalists say aesthetics concerns types of beauty, or unity, complexity and intensity [Gaut] |
22690 | 'Moralism' says all aesthetic merits are moral merits [Gaut] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
22684 | Good ethics counts towards aesthetic merit, and bad ethics counts against it [Gaut] |
22689 | If we don't respond ethically in the way a work prescribes, that is an aesthetic failure [Gaut] |
22685 | Good art does not necessarily improve people (any more than good advice does) [Gaut] |