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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
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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
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The logician Kurt Gödel (1906-1978) published a paper in 1931 formulating what have come to be known as his "incompleteness theorems", which prove, among other things, that within any formal system with resources sufficient to code arithmetic, questions exist which are neither provable nor disprovable on the basis of the axioms which define the system. These are among the most celebrated results in logic today. In this volume, leading philosophers and mathematicians assess important aspects of Gödel's work on the foundations and philosophy of mathematics. Their essays explore almost every aspect of Godel's intellectual legacy including his concepts of intuition and analyticity, the Completeness Theorem, the set-theoretic multiverse, and the state of mathematical logic today. This groundbreaking volume will be invaluable to students, historians, logicians and philosophers of mathematics who wish to understand the current thinking on these issues.
Logique mathématique --- Mathématiques --- Logic, Symbolic and mathematical. --- Mathematics --- Philosophie --- Philosophy. --- Gödel, Kurt, --- Logic, symbolic and mathematical --- Philosophy --- Gödel, Kurt --- Logique mathématique. --- Philosophie. --- Logique mathématique. --- Mathématiques --- Gödel, Kurt
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The logician Kurt Gödel (1906-1978) published a paper in 1931 formulating what have come to be known as his 'incompleteness theorems', which prove, among other things, that within any formal system with resources sufficient to code arithmetic, questions exist which are neither provable nor disprovable on the basis of the axioms which define the system. These are among the most celebrated results in logic today. In this volume, leading philosophers and mathematicians assess important aspects of Gödel's work on the foundations and philosophy of mathematics. Their essays explore almost every aspect of Godel's intellectual legacy including his concepts of intuition and analyticity, the Completeness Theorem, the set-theoretic multiverse, and the state of mathematical logic today. This groundbreaking volume will be invaluable to students, historians, logicians and philosophers of mathematics who wish to understand the current thinking on these issues.
Logic, Symbolic and mathematical. --- Mathematics --- Logic of mathematics --- Mathematics, Logic of --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Philosophy. --- Gödel, Kurt. --- Gkentel, Kourt --- גדל --- Logic, symbolic and mathematical --- Mathematics - Philosophy --- Gödel, Kurt
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