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What do Gödel theorems tell us about Hilbert`s solvability thesis?

Publication at Faculty of Arts |
2009

Abstract

The goal of the article is to present Gödel?s theorems not as a direct refutation of Hilbert?s solvability axiom (according to which all problems which human mind poses must be solvable) but only as an impulse to phrase it with more caution, in such a way that some famous unsolvable questions such as the Continuum Hypothesis are no longer regarded as real problems.