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] |
8329 | Either causal relations are given in experience, or they are unobserved and theoretical [Sosa/Tooley] |
8324 | The problem is to explain how causal laws and relations connect, and how they link to the world [Sosa/Tooley] |
8328 | Causation isn't energy transfer, because an electron is caused by previous temporal parts [Sosa/Tooley] |
8327 | If direction of causation is just direction of energy transfer, that seems to involve causation [Sosa/Tooley] |
8330 | Are causes sufficient for the event, or necessary, or both? [Sosa/Tooley] |
8325 | The dominant view is that causal laws are prior; a minority say causes can be explained singly [Sosa/Tooley] |
3029 | Stilpo said if Athena is a daughter of Zeus, then a statue is only the child of a sculptor, and so is not a god [Stilpo, by Diog. Laertius] |