15 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] |
19691 | Unlike knowledge, you can achieve understanding through luck [Grimm] |
19690 | 'Grasping' a structure seems to be modal, because we must anticipate its behaviour [Grimm] |
19692 | You may have 'weak' understanding, if by luck you can answer a set of 'why questions' [Grimm] |
6027 | From the fact that some men die, we cannot infer that they all do [Philodemus] |
22241 | Don't fear god or worry about death; the good is easily got and the terrible easily cured [Philodemus] |