# Kurt Goedel: Collected Works: Volume II : Publications 1938-1974

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## Description

Kurt Godel (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to Godel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Godel's Nachlass. These long-awaited final two volumes contain Godel'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 Godel'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 Godel: 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 Godel'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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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 Godel: 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 Godel'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

- Hardback | 424 pages
- 162.3 x 243.3 x 26.2mm | 806.19g
- 01 Jan 1990
- Oxford University Press Inc
- New York, United States
- English
- frontispiece, 5 halftone plates
- 0195039726
- 9780195039726

## Other books in this series

## Review quote

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 Goedel 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. * Frqancisco A. Rodriguez-Consuegra, Universidad de Barcelona, Modern Logic, Volume 4, no. 3 (July 1994) * 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. * R.O. Gandy, Bulletin of the London Mathematical Society, 24 (1992) * From reviews of Volume I:

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 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. * Isis

From the example of this first volume, the edition promises to be a model of its kind; virtually nothing could be bettered. *

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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. * Frqancisco A. Rodriguez-Consuegra, Universidad de Barcelona, Modern Logic, Volume 4, no. 3 (July 1994) * 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. * R.O. Gandy, Bulletin of the London Mathematical Society, 24 (1992) * From reviews of Volume I:

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 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. * Isis

From the example of this first volume, the edition promises to be a model of its kind; virtually nothing could be bettered. *

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## About Kurt Gödel

The Editor-in-ChiefSolomon Feferman is Professor of Mathematics and Philosophy, and Chairman of the Department of Mathematics at Stanford University. He is past president of the Association of Symbolic Logic. The EditorsJohn W. Dawson, Jr., is Professor of Mathematics at Pennsylvania State University, York. Steven C. Kleene is Emeritus Dean of Letters and Science, and Emeritus Professor of Mathematics and Computer Science at the University of Wisconsin, Madison. Gregory H. Moore is Associate Professor of Mathematics at McMaster University, Hamilton, Ontario, Canada. Robert M. Solovay is Professor of Mathematics at the University of California, Berkeley. The late Jean van Heijenoort was Emeritus Professor of Philosophy at Brandeis University until his death in 1986.

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## Table of contents

Goedel 1938: Introductory note to 1938, 1939, 1939a, and 1940 by Robert M. Solovay; The consistency of the axiom of choice and of the generalized continuum hypothesis; Goedel 1939: the consistency of the generalized continuum hypothesis; Goedel 1939a: Consistency proof for the generalized continuum hypothesis; Goedel 1940: the consistency of the axiom of choice and of the generalized continuum hypothesis with the axioms of set theory; Goedel 1944:

Introductory note to 1944 by Charles Parsons; Russell's mathematical logic; Goedel 1946: Introductory note to 1946 by Charles Parsons; Remarks before the Princeton bicentennial conference on problems in mathematics; Goedel 1947: Introductory note to 1947 and 1964 by Gregory H. Moore; What is Cantor's continuum problem?; Goedel

1949: Introductory note to 1949 and 1952 by S.W. Hawking; An example of a new type of cosmological solutions of Einstein's field equations of gravitation; Goedel 1949a: Introductory note to 1949a by Howard Stein; A remark about the relationship between relativity theory and idealistic philosophy; Goedel 1952: Rotaoting universes in general relativity theory; Goedel 1958: Introductory note to 1958 and 1972 by A.S. Troelstra; UEber eine bisher noch nicht benutzte Erweiterung

des finiten Standpunktes; On a hitherto unutilized extension of the finitary standpoint; Goedel 1962: postscript to Spector 1962; Goedel 1964: What is Cantor's continuum problem? Goedel 1972: On an extension of finitary mathematics which has not yet been used; Goedel 1972a: Introductory note to 1972a by Solomon Feferman, Robert

M. Solovay, and Judson C. Webb; Some remarks on the undecidability results; Goedel 1974: Introductory note to 1974 by Jens Erik Fenstad; Remark on non-standard analysis; Textual notes; References.

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Introductory note to 1944 by Charles Parsons; Russell's mathematical logic; Goedel 1946: Introductory note to 1946 by Charles Parsons; Remarks before the Princeton bicentennial conference on problems in mathematics; Goedel 1947: Introductory note to 1947 and 1964 by Gregory H. Moore; What is Cantor's continuum problem?; Goedel

1949: Introductory note to 1949 and 1952 by S.W. Hawking; An example of a new type of cosmological solutions of Einstein's field equations of gravitation; Goedel 1949a: Introductory note to 1949a by Howard Stein; A remark about the relationship between relativity theory and idealistic philosophy; Goedel 1952: Rotaoting universes in general relativity theory; Goedel 1958: Introductory note to 1958 and 1972 by A.S. Troelstra; UEber eine bisher noch nicht benutzte Erweiterung

des finiten Standpunktes; On a hitherto unutilized extension of the finitary standpoint; Goedel 1962: postscript to Spector 1962; Goedel 1964: What is Cantor's continuum problem? Goedel 1972: On an extension of finitary mathematics which has not yet been used; Goedel 1972a: Introductory note to 1972a by Solomon Feferman, Robert

M. Solovay, and Judson C. Webb; Some remarks on the undecidability results; Goedel 1974: Introductory note to 1974 by Jens Erik Fenstad; Remark on non-standard analysis; Textual notes; References.

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