13 ideas
13451 | The two best understood conceptions of set are the Iterative and the Limitation of Size [Rayo/Uzquiano] |
8679 | We perceive the objects of set theory, just as we perceive with our senses [Gödel] |
13452 | Some set theories give up Separation in exchange for a universal set [Rayo/Uzquiano] |
9942 | Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam] |
13449 | We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano] |
13450 | Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano] |
13453 | Perhaps second-order quantifications cover concepts of objects, rather than plain objects [Rayo/Uzquiano] |
18062 | Set-theory paradoxes are no worse than sense deception in physics [Gödel] |
10868 | The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg] |
13517 | If set theory is consistent, we cannot refute or prove the Continuum Hypothesis [Gödel, by Hart,WD] |
10271 | Basic mathematics is related to abstract elements of our empirical ideas [Gödel] |
13448 | The domain of an assertion is restricted by context, either semantically or pragmatically [Rayo/Uzquiano] |
18671 | The ground for an attitude is not a thing's 'goodness', but its concrete characteristics [Ewing] |