20 ideas
14240 | The empty set is something, not nothing! [Oliver/Smiley] |
14239 | The empty set is usually derived from Separation, but it also seems to need Infinity [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] |
6402 | In 1927, Russell analysed force and matter in terms of events [Russell, by Grayling] |
14732 | A perceived physical object is events grouped around a centre [Russell] |
14733 | An object produces the same percepts with or without a substance, so that is irrelevant to science [Russell] |
6418 | Russell rejected phenomenalism because it couldn't account for causal relations [Russell, by Grayling] |
8430 | Causal statements are used to explain, to predict, to control, to attribute responsibility, and in theories [Kim] |
8396 | Many counterfactuals have nothing to do with causation [Kim, by Tooley] |
8429 | Counterfactuals can express four other relations between events, apart from causation [Kim] |
8428 | Causation is not the only dependency relation expressed by counterfactuals [Kim] |
4781 | Many counterfactual truths do not imply causation ('if yesterday wasn't Monday, it isn't Tuesday') [Kim, by Psillos] |
21706 | At first matter is basic and known by sense-data; later Russell says matter is constructed [Russell, by Linsky,B] |