15 ideas
21960 | Ordinary language is the beginning of philosophy, but there is much more to it [Austin,JL] |
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] |
20034 | Intentions must be mutually consistent, affirm appropriate means, and fit the agent's beliefs [Bratman, by Wilson/Schpall] |
20033 | Intentions are normative, requiring commitment and further plans [Bratman, by Wilson/Schpall] |
20026 | Intention is either the aim of an action, or a long-term constraint on what we can do [Bratman, by Wilson/Schpall] |
20032 | Bratman rejected reducing intentions to belief-desire, because they motivate, and have their own standards [Bratman, by Wilson/Schpall] |