Kurt Goedel: Collected Works: Volume IV

Kurt Goedel: Collected Works: Volume IV

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Kurt Goedel (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to Goedel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Goedel's Nachlass. The final two volumes contain Goedel's correspondence of logical, philosophical, and scientific interest. Volume IV, published for the first time in
paperback, covers A to G, with H to Z in volume V; in addition, Volume V contains a full inventory of Goedel'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 Goedel: 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 Goedel'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.
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Product details

  • Paperback | 686 pages
  • 153 x 231 x 38mm | 984g
  • Oxford, United Kingdom
  • English
  • 019968961X
  • 9780199689613
  • 2,175,830

Table of contents

List of Illustrations ; Allan Angoff: introductory note and corresondence ; Yossef Balas: introductory note and corresondence ; Heinrich Behmann: introductory note and corresondence ; Paul Bernays: introductory note and corresondence ; Kenneth Blackwell: introductory note and corresondence ; Herbert G. Bohnert: introductory note and corresondence ; William Boone: introductory note and corresondence ; Georg Brutian: introductory note and corresondence ; J. Richard Buchi: introductory note and corresondence ; Rudolph Carnap: introductory note and corresondence ; Alonzo Church: introductory note and corresondence ; Paul J. Cohen: introductory note and corresondence ; Burton Dreben: introductory note and corresondence ; Herbert Feigl: introductory note and corresondence ; Paul Finsler: introductory note and corresondence ; Wilson Follett: introductory note and corresondence ; Leonard Goddard: introductory note and corresondence ; Marianne Godel: introductory note and corresondence ; Burke D. Grandjean: introductory note and corresondence ; Marvin Jay Greenberg: introductory note and corresondence ; Gotthard Gunther: introductory note and corresondence ; Calendars of Correspondence ; Textual notes ; References ; Addenda and corrigenda to volumes I-III
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Review quote

Each item in the volume (Volume III) carries an introduction written by a leading expert, and there are detailed textual notes at the end of the book. The editorial standards are extremely high throughout * London Mathematical Society 1997 * The book (Volume III) ... will certainly enlarge our appreciation of Goedel's scientific and philosophical thought as well as our understanding of his motivations. * Mathematical Reviews, Issue 96f * This is the third volume of a comprehensive and critical edition of the works of Kurt Goedel. . .All these essays and lectures are most carefully written and remarkably rich. They give considerable insight into Goedel's own achievements in logic, set theory and physics and also into his philosophical views. . . .This volume was a desideratum for a long time. We also hope very strongly that volume 3 is not the last volume." - * Vienna Circle Institute Yearbook 1997 * It is a fascinating and enduringly important collection, superbly well-edited, each paper being prefaced with an excellent intoduction providing background information, summaries of the arguments and, where necessary, criticisms of the views expressed. The editors are to be wholeheartedly congratulated on bringing to the public work which deserves careful study and which ought to do something to revitalise the philosophy of mathematics by presenting a point of view
that, unusually, combines intellectual rigour with a willingness to make bold and metaphysical claims. * Times Higher Education Supplement, 15 March 1996 * Anyone interested in the life and work of Kurt Goedel, or in the history of mathematical logic in this century, is indebted to all of the contributors to this volume (volume I)for the care with which they have presented Goedel's work. They have succeeded in using their own expertise to elucidate both the nature and the significance of what Goedel and, in turn, mathematical logic have accomplished. From the example of this first volume, the edition
promises to be a model of its kind; virtually nothing could be bettered.

Feferman and his team are to be congratulated on the care, sureness of touch, and scholarly accuracy with which they have carried out their task * Mind * These volumes contain, as well as the doctoral dissertation and a hitherto unpublished revision of a translation of the Dialectica paper, all of Goedel's work printed in his lifetime. The volumes are meticulously edited and are a pleasure to consult. Original page numbers are clearly shown; papers written in German are printed with facing translations. * Bulletin of the London Mathematical Society, 24 (1992) * This is the second volume of this impressive series of Goedel's works ... this second volume of his published works is really fundamental, as it was only in this period that Godel decided to make public some traits of his philosophical position ... The introductory note to these writings, by R. Solovay, seems to me historically and technically superb. I congratulate the editorial team for including in this volume the improved 1972 version of the Dialectica paper
of 1958 on finitary mathematics ... As a whole, the book is absolutely indispensable for anyone interested in Goedel's ideas, or generally on the history and philosophy of logic and mathematics. * Modern Logic, Volume 4, no. 3 (July 1994) * This book (Volume I) is unique, and every philosopher or historian of logic will be determined to possess it. * Nature * Review from other book by this author Goedel would probably have been pleased ... The set should be of interest to professionals and students in the area of logic, mathematics, philosophy, history of science, computer science and to some non-specialists with a background in science and/or logic. For all university level libraries and for large public and college library collections. * New Technical Books, New York Public Library (January 1987) *
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About Kurt Goedel

Solomon Feferman is Professor of Mathematics and Philosophy at Stanford University

John W. Dawson is Professor of Mathematics at Penn State York University

Warren Goldfarb is Walter Beverly Pearson Professor of Modern Mathematics and Mathematical Logic at Harvard University

Charles Parsons is Edgar Pierce Emeritus Professor of Philosophy at Harvard University

Wilfried Sieg is Patrick Suppes Professor of Philosophy at Carnegie Mellon Unviersity
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