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    On Formally Undecidable Propositions of "Principia Mathematica" and Related Systems (Dover Books on Mathematics) (Paperback) By (author) Kurt Gödel

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    Short Description for On Formally Undecidable Propositions of "Principia Mathematica" and Related SystemsFirst English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction by R. B. Braithwaite.
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  • First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. Introduction by R. B. Braithwaite.