jan 2, 1931 - Kurt Godel answers the first 2 questions
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In 1931, Kurt Gödel (1906-1978) answered two of Hilbert's questions. He showed that every sufficiently powerful formal system is either inconsistent or incomplete. Also, if an axiom system is consistent, this consistency cannot be proved within itself. The third question remained open, with 'provable' substituted for 'true'.
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