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Full Idea
The set-theoretical paradoxes are hardly any more troublesome for mathematics than deceptions of the senses are for physics.
Gist of Idea
Set-theory paradoxes are no worse than sense deception in physics
Source
Kurt Gödel (What is Cantor's Continuum Problem? [1964], p.271), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 03.4
Book Ref
Kitcher,Philip: 'The Nature of Mathematical Knowledge' [OUP 1984], p.63
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] |