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Full Idea
Evidently the 'given' underlying mathematics is closely related to the abstract elements contained in our empirical ideas.
Gist of Idea
Basic mathematics is related to abstract elements of our empirical ideas
Source
Kurt Gödel (What is Cantor's Continuum Problem? [1964], Suppl)
Book Ref
'Philosophy of Mathematics: readings (2nd)', ed/tr. Benacerraf/Putnam [CUP 1983], p.484
A Reaction
Yes! The great modern mathematical platonist says something with which I can agree. He goes on to hint at a platonic view of the structure of the empirical world, but we'll let that pass.
| 9942 | Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam] |
| 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] |
| 18062 | Set-theory paradoxes are no worse than sense deception in physics [Gödel] |
| 8679 | We perceive the objects of set theory, just as we perceive with our senses [Gödel] |
| 10271 | Basic mathematics is related to abstract elements of our empirical ideas [Gödel] |