10 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] |
18170 | The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine] |
18062 | Set-theory paradoxes are no worse than sense deception in physics [Gödel] |
9935 | Mathematical truth is always compromising between ordinary language and sensible epistemology [Benacerraf] |
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] |
17927 | Realists have semantics without epistemology, anti-realists epistemology but bad semantics [Benacerraf, by Colyvan] |
9936 | The platonist view of mathematics doesn't fit our epistemology very well [Benacerraf] |
10271 | Basic mathematics is related to abstract elements of our empirical ideas [Gödel] |