18 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] |
9379 | A sentence is obvious if it is true, and any speaker of the language will instantly agree to it [Quine] |
5662 | Maybe induction could never prove the existence of something unobservable [Ayer] |
5664 | Consciousness must involve a subject, and only bodies identify subjects [Ayer] |
5668 | People own conscious states because they are causally related to the identifying body [Ayer] |
5661 | We identify experiences by their owners, so we can't define owners by their experiences [Ayer] |
5665 | Memory is the best proposal as what unites bundles of experiences [Ayer] |
5666 | Not all exerience can be remembered, as this would produce an infinite regress [Ayer] |
5669 | Personal identity can't just be relations of experiences, because the body is needed to identify them [Ayer] |