12 ideas
8679 | We perceive the objects of set theory, just as we perceive with our senses [Gödel] |
9942 | Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam] |
8755 | Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro] |
12220 | Is it the sentence-token or the sentence-type that has a logical form? [Fine,K] |
12222 | Substitutional quantification is referential quantification over expressions [Fine,K] |
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] |
10718 | A natural number is a property of sets [Maddy, by Oliver] |
8756 | Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro] |
10271 | Basic mathematics is related to abstract elements of our empirical ideas [Gödel] |
17733 | We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins] |