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Gödel's theorem --- Gödel's theorem --- Gödel's incompleteness theorem --- Undecidable theories --- Arithmetic --- Completeness theorem --- Incompleteness theorems --- Logic, Symbolic and mathematical --- Number theory --- Decidability (Mathematical logic) --- Foundations
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Mathematical logic --- Gödel, Kurt --- Gödel's theorem. --- Gödel's theorem --- Gödel's incompleteness theorem --- Undecidable theories --- Arithmetic --- Completeness theorem --- Incompleteness theorems --- Logic, Symbolic and mathematical --- Number theory --- Decidability (Mathematical logic) --- Foundations
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Kurt GoÌdel, 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 GoÌdel's incompleteness theorems. The level of presentation is suitable for anyone with a basic acquaintance with mathematical logic. As a clear, concise introduction to a difficult but essential subject, the text will appeal to mathematicians, philosophers, and computer scientists.
GoÌdel's theorem. --- Gödel's theorem. --- Gödel, Kurt. --- Gödel's incompleteness theorem --- Undecidable theories --- Arithmetic --- Completeness theorem --- Incompleteness theorems --- Logic, Symbolic and mathematical --- Number theory --- Decidability (Mathematical logic) --- Foundations --- Gkentel, Kourt --- גדל
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Mathematical logic --- Recursive functions. --- Algorithms. --- Godel's theorem. --- Gödel's incompleteness theorem --- Undecidable theories --- Arithmetic --- Completeness theorem --- Incompleteness theorems --- Logic, Symbolic and mathematical --- Number theory --- Decidability (Mathematical logic) --- Algorism --- Algebra --- Functions, Recursive --- Algorithms --- Recursion theory --- Foundations --- Gödel's theorem --- Recursive functions
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Mathematical logic --- Gödel's theorem --- Gödel, Théorème de --- Godel's theorem --- #TELE:MI2 --- Gödel's incompleteness theorem --- Undecidable theories --- Arithmetic --- Completeness theorem --- Incompleteness theorems --- Logic, Symbolic and mathematical --- Number theory --- Decidability (Mathematical logic) --- Foundations --- Gödel's theorem --- Gödel, Théorème de
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An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever.
Logicians --- Proof theory. --- Gödel, Kurt. --- Gödel's theorem --- Proof theory --- Gödel's incompleteness theorem --- Undecidable theories --- Gödel, Kurt. --- Gkentel, Kourt --- גדל --- Logic, Symbolic and mathematical --- Philosophers --- Arithmetic --- Completeness theorem --- Incompleteness theorems --- Number theory --- Decidability (Mathematical logic) --- Foundations --- Logicians - United States - Biography. --- Logicians - Austria - Biography. --- Gödel's theorem.
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510.2 --- Godel's theorem --- Incompleteness theorems --- Metamathematics --- Logic, Symbolic and mathematical --- Mathematics --- Theorems, Incompleteness --- Constructive mathematics --- Proof theory --- Gödel's incompleteness theorem --- Undecidable theories --- Arithmetic --- Completeness theorem --- Number theory --- Decidability (Mathematical logic) --- Foundations of mathematics --- Philosophy --- Foundations --- Gödel's theorem --- Incompleteness theorems. --- Metamathematics. --- 510.2 Foundations of mathematics --- Gödel's theorem. --- Gödel's theorem
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Gödel, Kurt --- 510.65 --- Godel's theorem --- 51-8 --- Gödel's incompleteness theorem --- Undecidable theories --- Completeness theorem --- Incompleteness theorems --- Decidability (Mathematical logic) --- Logico-mathematical theories. Formal arithmetic. Formal number theory --- Mathematical games and recreations --- 51-8 Mathematical games and recreations --- 510.65 Logico-mathematical theories. Formal arithmetic. Formal number theory --- Arithmetic --- Logic, Symbolic and mathematical --- Number theory --- Foundations --- Mathematical logic
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Godel's theorem. --- Mathematical logic --- Godel's theorem --- Gödel's incompleteness theorem --- Undecidable theories --- Arithmetic --- Completeness theorem --- Incompleteness theorems --- Logic, Symbolic and mathematical --- Number theory --- Decidability (Mathematical logic) --- Foundations --- Gödel's theorem --- Gödel, Théorème de --- Décidabilité (logique mathématique)
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Gödel's theorem --- Incompleteness theorems --- Mathematics --- Logic of mathematics --- Mathematics, Logic of --- Theorems, Incompleteness --- Constructive mathematics --- Proof theory --- Gödel's incompleteness theorem --- Undecidable theories --- Arithmetic --- Completeness theorem --- Logic, Symbolic and mathematical --- Number theory --- Decidability (Mathematical logic) --- Philosophy --- Foundations --- Gödel, Kurt. --- Gkentel, Kourt --- גדל --- Gödel's theorem --- Gödel, Kurt --- Mathematics - Philosophy
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