23 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] |
16405 | To understand a name (unlike a description) picking the thing out is sufficient? [Stalnaker] |
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] |
16407 | Possible worlds allow separating all the properties, without hitting a bare particular [Stalnaker] |
16397 | If it might be true, it might be true in particular ways, and possible worlds describe such ways [Stalnaker] |
16399 | Possible worlds are ontologically neutral, but a commitment to possibilities remains [Stalnaker] |
16398 | Possible worlds allow discussion of modality without controversial modal auxiliaries [Stalnaker] |
16396 | Kripke's possible worlds are methodological, not metaphysical [Stalnaker] |
16408 | Rigid designation seems to presuppose that differing worlds contain the same individuals [Stalnaker] |
16406 | If you don't know what you say you can't mean it; what people say usually fits what they mean [Stalnaker] |
16404 | In the use of a name, many individuals are causally involved, but they aren't all the referent [Stalnaker] |
16403 | 'Descriptive' semantics gives a system for a language; 'foundational' semantics give underlying facts [Stalnaker] |
16401 | To understand an utterance, you must understand what the world would be like if it is true [Stalnaker] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |