19 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] |
7755 | Singular terms refer, using proper names, definite descriptions, singular personal pronouns, demonstratives, etc. [Lycan] |
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] |
7768 | The truth conditions theory sees meaning as representation [Lycan] |
7766 | Meaning must be known before we can consider verification [Lycan] |
7764 | Could I successfully use an expression, without actually understanding it? [Lycan] |
7763 | It is hard to state a rule of use for a proper name [Lycan] |
7770 | Truth conditions will come out the same for sentences with 'renate' or 'cordate' [Lycan] |
7773 | A sentence's truth conditions is the set of possible worlds in which the sentence is true [Lycan] |
7774 | Possible worlds explain aspects of meaning neatly - entailment, for example, is the subset relation [Lycan] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |