19 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] |
20100 | Classical liberalism seeks freedom of opinion, of private life, of expression, and of property [Micklethwait/Wooldridge] |
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] |
22692 | A work can be morally and artistically excellent, despite rejecting moral truth [John,E] |
22693 | The works we value most are in sympathy with our own moral views [John,E] |
22694 | We should understand what is morally important in a story, without having to endorse it [John,E] |
22695 | We value morality in art because that is what we care about - but it is a contingent fact [John,E] |
20097 | The welfare state aims at freedom from want, and equality of opportunity [Micklethwait/Wooldridge] |
20099 | For communists history is driven by the proletariat [Micklethwait/Wooldridge] |
20098 | Fans of economic freedom claim that capitalism is self-correcting [Micklethwait/Wooldridge] |
20096 | Roman law entrenched property rights [Micklethwait/Wooldridge] |