17 ideas
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] |
10369 | How fine-grained Kim's events are depends on how finely properties are individuated [Kim, by Schaffer,J] |
8976 | If events are ordered triples of items, such things seem to be sets, and hence abstract [Simons on Kim] |
8975 | Events cannot be merely ordered triples, but must specify the link between the elements [Kim, by Simons] |
8974 | Events are composed of an object with an attribute at a time [Kim, by Simons] |
8977 | Since properties like self-identity and being 2+2=4 are timeless, Kim must restrict his properties [Simons on Kim] |
8980 | Kim's theory results in too many events [Simons on Kim] |
1558 | Clearly the gods ignore human affairs, or they would have given us justice [Thrasymachus] |