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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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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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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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"Among the many expositions of Godel's incompleteness theorems written for non-specialists, this book stands apart. With exceptional clarity, Franzen gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of Logical Dilemmas: The Life and Work of Kurt Godel
Mathematical logic --- Philosophy of science --- Gödel's theorem --- Gödel's theorem. --- Incompleteness theorems. --- Gödel's theorem --- Incompleteness theorems --- Gödel's incompleteness theorem --- Undecidable theories --- Arithmetic --- Completeness theorem --- Logic, Symbolic and mathematical --- Number theory --- Decidability (Mathematical logic) --- Theorems, Incompleteness --- Constructive mathematics --- Proof theory --- Foundations --- Logique mathématique --- Gödel, Kurt F., 1906 --- -Logique mathématique --- Logique mathematique --- Theorie de la preuve --- -Gödel's theorem. --- -Gödel's theorem --- Gödel, Kurt F., 1906-
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Provability, Computability and Reflection
Group theory --- Gödel's theorem --- Théorème de Gödel --- Congresses --- Congrès --- 510.6 --- Godel's theorem --- -Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Gödel's incompleteness theorem --- Undecidable theories --- Arithmetic --- Completeness theorem --- Incompleteness theorems --- Logic, Symbolic and mathematical --- Number theory --- Decidability (Mathematical logic) --- Mathematical logic --- Foundations --- Word problems (Mathematics) --- Congresses. --- -Mathematical logic --- Word problems (Mathematics). --- 510.6 Mathematical logic --- -510.6 Mathematical logic --- Groups, Theory of --- Gödel's theorem --- Théorème de Gödel --- Congrès --- ELSEVIER-B EPUB-LIV-FT --- Gödel, Kurt --- Décidabilité (logique mathématique) --- Group theory - Congresses --- Structures algebriques --- Probleme du mot
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"This volume commemorates the life, work, and foundational views of Kurt Godel (1906-1978), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances, and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology, and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Godel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Godel's fundamental work in mathematics, logic, philosophy, and other disciplines for future generations of researchers"--
Gödel, Théorème de --- Gödel, Kurt --- Godel's theorem --- Mathematics/ Logic --- Godel, Kurt --- Gödel's theorem. --- Gödel's incompleteness theorem --- Undecidable theories --- Incompleteness theorems --- Decidability (Mathematical logic) --- Gödel's theorem --- Gödel, Théorème de --- Gödel, Kurt --- Mathematics --- 510.2 --- 510.6 --- 510.6 Mathematical logic --- Mathematical logic --- 510.2 Foundations of mathematics --- Foundations of mathematics --- Logic of mathematics --- Mathematics, Logic of --- Arithmetic --- Completeness theorem --- Logic, Symbolic and mathematical --- Number theory --- Philosophy --- Foundations --- Gödel, Kurt. --- Gkentel, Kourt --- גדל --- Mathématiques --- Philosophie --- Gödel's theorem. --- Philosophy. --- Mathematical Sciences --- General and Others --- Mathematics - Philosophy --- Gödel, Kurt (1906-1978) --- Mathématiques --- Godel's theorem. --- Godel, Kurt.
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