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Author: Werner DePauli-Schimanovich
Publisher: Werner DePauli-Schimanovich
ISBN: 385487815X
Category : Logic, Symbolic and mathematical
Languages : de
Pages : 571
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Book Description
Author: Werner DePauli-Schimanovich
Publisher: Werner DePauli-Schimanovich
ISBN: 385487815X
Category : Logic, Symbolic and mathematical
Languages : de
Pages : 571
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Book Description
Author: Matthias Baaz
Publisher: Cambridge University Press
ISBN: 1139498436
Category : Mathematics
Languages : en
Pages : 541
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Book Description
This volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), 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 Gödel 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 Gödel's fundamental work in mathematics, logic, philosophy and other disciplines for future generations of researchers.
Author: Kurt Gödel
Publisher: Clarendon Press
ISBN: 0191003778
Category : Mathematics
Languages : en
Pages : 691
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Book Description
Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computability theory, as well as for the strong individuality of his writings on the philosophy of mathematics. He is less well known for his discovery of unusual cosmological models for Einstein's equations, in theory permitting time travel into the past. The Collected Works is a landmark resource that draws together a lifetime of creative thought and accomplishment. The first two volumes were devoted to Gödel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass. These long-awaited final two volumes contain Gödel's correspondence of logical, philosophical, and scientific interest. Volume IV covers A to G, with H to Z in volume V; in addition, Volume V contains a full inventory of Gödel's Nachlass. All volumes include introductory notes that provide extensive explanatory and historical commentary on each body of work, English translations of material originally written in German (some transcribed from the Gabelsberger shorthand), and a complete bibliography of all works cited. Kurt Gödel: Collected Works is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy. The only comprehensive edition of Gödel's work available, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science and all others who wish to be acquainted with one of the great minds of the twentieth century.
Author: Solomon Feferman
Publisher: Cambridge University Press
ISBN: 1139487752
Category : Mathematics
Languages : en
Pages : 384
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Book Description
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.
Author: Kurt Gödel
Publisher: Clarendon Press
ISBN: 019100376X
Category : Mathematics
Languages : en
Pages : 685
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Book Description
Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computability theory, as well as for the strong individuality of his writings on the philosophy of mathematics. He is less well known for his discovery of unusual cosmological models for Einstein's equations, in theory permitting time travel into the past. The Collected Works is a landmark resource that draws together a lifetime of creative thought and accomplishment. The first two volumes were devoted to Gödel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass. These long-awaited final two volumes contain Gödel's correspondence of logical, philosophical, and scientific interest. Volume IV covers A to G, with H to Z in volume V; in addition, Volume V contains a full inventory of Gödel's Nachlass. All volumes include introductory notes that provide extensive explanatory and historical commentary on each body of work, English translations of material originally written in German (some transcribed from the Gabelsberger shorthand), and a complete bibliography of all works cited. Kurt Gödel: Collected Works is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy. The only comprehensive edition of Gödel's work available, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science and all others who wish to be acquainted with one of the great minds of the twentieth century.
Author: Kurt Gödel
Publisher: Oxford University Press, USA
ISBN: 0195039645
Category : Mathematics
Languages : en
Pages : 506
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Book Description
Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computability theory, as well as for the strong individuality of his writings on the philosophy of mathematics. He is less well known for his discovery of unusual cosmological models for Einstein's equations, in theory permitting time travel into the past. The Collected Works is a landmark resource that draws together a lifetime of creative thought and accomplishment. The first two volumes were devoted to Gödel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass. These long-awaited final two volumes contain Gödel's correspondence of logical, philosophical, and scientific interest. Volume IV covers A to G, with H to Z in volume V; in addition, Volume V contains a full inventory of Gödel's Nachlass. L All volumes include introductory notes that provide extensive explanatory and historical commentary on each body of work, English translations of material originally written in German (some transcribed from the Gabelsberger shorthand), and a complete bibliography of all works cited. Kurt Gödel: Collected Works is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy. The only comprehensive edition of Gödel's work available, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science and all others who wish to be acquainted with one of the great minds of the twentieth century.
Author: Kurt Gödel
Publisher:
ISBN: 0195039726
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 426
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Book Description
Author: Kurt Gödel
Publisher: Oxford University Press
ISBN: 9780198500759
Category : Computers
Languages : en
Pages : 690
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Book Description
The collected works of Kurt Godel is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy.
Author: Kurt-Gödel-Gesellschaft
Publisher: Springer Science & Business Media
ISBN: 370919394X
Category : Mathematics
Languages : en
Pages : 128
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Book Description
Contents: P. Vihan: The Last Month of Gerhard Gentzen in Prague. - F.A. Rodríguez-Consuegra: Some Issues on Gödel’s Unpublished Philosophical Manuscripts. - D.D. Spalt: Vollständigkeit als Ziel historischer Explikation. Eine Fallstudie. - E. Engeler: Existenz und Negation in Mathematik und Logik. - W.J. Gutjahr: Paradoxien der Prognose und der Evaluation: Eine fixpunkttheoretische Analyse. - R. Hähnle: Automated Deduction and Integer Programming. - M. Baaz, A. Leitsch: Methods of Functional Extension.
Author: S.G. Shanker
Publisher: Routledge
ISBN: 1134947976
Category : Philosophy
Languages : en
Pages : 272
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Book Description
A layman's guide to the mechanics of Gödel's proof together with a lucid discussion of the issues which it raises. Includes an essay discussing the significance of Gödel's work in the light of Wittgenstein's criticisms.
