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Goedel's Incompleteness Theorems
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Godel's Incompleteness TheoremsGodel's Incompleteness Theorems

Kurt Goedel, the greatest logician of our time, startled the world of mathematics in 1931 with his Theorem of Undecidability, which showed that some statements in mathematics are inherently "undecidable." His work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum theory brought him further worldwide fame. In this introductory volume, Raymond Smullyan, himself a well-known logician, guides the reader through the fascinating world of Goedel's incompleteness theorems.
 
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Tags: Godel, theory, incompleteness, world, mathematics, Goedel, logician
Logical Dilemmas - The Life and Work of Kurt Gödel
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Logical Dilemmas - The Life and Work of Kurt GödelLogical Dilemmas - The Life and Work of Kurt Gödel

This authoritative biography of Kurt Goedel relates the life of this most important logician of our time to the development of the field. Goedel's seminal achievements that changed the perception and foundations of mathematics are explained in the context of his life from the turn of the century Austria to the Institute for Advanced Study in Princeton.
 
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Tags: Goedel, Austria, century, context, Institute, Logical, Dilemmas, explained