11 ideas
6782 | Realism is the only philosophy of science that doesn't make the success of science a miracle [Putnam] |
18261 | A simplification which is complete constitutes a definition [Kant] |
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] |
22275 | Logic gives us the necessary rules which show us how we ought to think [Kant] |
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] |
22181 | Putnam says anti-realism is a bad explanation of accurate predictions [Putnam, by Okasha] |
18260 | If we knew what we know, we would be astonished [Kant] |