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Gödel's theorem --- Gödel, Théorème de

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Logic, Symbolic and mathematical. --- Mathematics. --- Math --- Science --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism

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Kurt Gödel (1906-1978) did groundbreaking work that transformed logic and other important aspects of our understanding of mathematics, especially his proof of the incompleteness of formalized arithmetic. This book on different aspects of his work and on subjects in which his ideas have contemporary resonance includes papers from a May 2006 symposium celebrating Gödel's centennial as well as papers from a 2004 symposium. Proof theory, set theory, philosophy of mathematics, and the editing of Gödel's writings are among the topics covered. Several chapters discuss his intellectual development and his relation to predecessors and contemporaries such as Hilbert, Carnap, and Herbrand. Others consider his views on justification in set theory in light of more recent work and contemporary echoes of his incompleteness theorems and the concept of constructible sets.

Théorie de la démonstration --- Logique mathématique --- Mathématiques --- Philosophie --- Gödel, Kurt, --- Logic, symbolic and mathematical --- Logic, Symbolic and mathematical. --- Théorie de la démonstration. --- Logique mathématique. --- Philosophie. --- Logic, Symbolic and mathematical --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Mathematics. --- Math --- Science --- Gödel, Kurt --- Mathematical Sciences --- General and Others

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Logic, Symbolic and mathematical --- Mathematics --- Logique symbolique et mathématique --- Mathématiques --- Philosophy --- Philosophie --- Gödel, Kurt

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The collected works of Kurt Gödel is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy.

Logic, Symbolic and mathematical. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Gödel, Kurt