17 ideas
19695 | The devil was wise as an angel, and lost no knowledge when he rebelled [Whitcomb] |
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] |
14239 | The empty set is usually derived from Separation, but it also seems to need Infinity [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] |
23146 | Motives produce intentions, which lead to actions [Driver] |
23147 | Good intentions are not necessary for virtue [Driver] |
23144 | Virtue should be defined by consequences, not by states of mind [Driver] |
23148 | Virtues are character traits or dispositions which produce good consequences for others [Driver] |
23150 | Control of pregnancy and knowledge of paternity have downgraded chastity [Driver] |
23149 | If generosity systematically turned recipients into parasites, it wouldn't be a virtue [Driver] |