Collected Works: Volume II: Publications 1938-1974

Paperback | January 15, 2001

byKurt GodelEditorSolomon Feferman, John W. Dawson

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Kurt Godel was the most outstanding logician of the twentieth century, famous for his work 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 decisionproblem, and the foundations of computation theory, as well as for the strong individuality of his writings on the philosophy of mathematics. Less well-known is his discovery of unusual cosmological models for Einstein's equations, permitting "time-travel" into the past. This second volume of a comprehensive edition of Godel's works collects together all his publications from 1938 to 1974. Together with Volume I (Publications 1929-1936), it makes available for the first time in a single source all of his previously published work. Continuing the formatestablished in the earlier volume, the present text includes introductory notes that provide extensive explanatory and historical commentary on each of the papers, a facing English translation of the one German original, and a complete bibliography. Succeeding volumes are to contain unpublishedmanuscripts, lectures, correspondence, and extracts from the notebooks. Collected Works is designed to be accessible and useful to as wide an audience as possible without sacrificing scientific or historical accuracy. The only complete edition available in English, it will be an essential part of the working library of professionals and students in logic,mathematics, philosophy, history of science, and computer science. These volumes will also interest scientists and all others who wish to be acquainted with one of the great minds of the twentieth century.

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Kurt Godel was the most outstanding logician of the twentieth century, famous for his work 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 decisionproblem, and the foundations of computation t...

The Editor-in-Chief Solomon 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 Editors John W. Dawson, Jr., is Professor of Mathematics at Pennsylvania State University, York. Stev...

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Format:PaperbackDimensions:432 pages, 5.79 × 8.9 × 0.91 inPublished:January 15, 2001Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0195147219

ISBN - 13:9780195147216

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Table of Contents

1. Robert M. Solovay: Introductory Note to 1938, 1939 and 19402. The Consistency of the Axiom of Choice and of the Generalized Continuum Hypothesis3. Consistency Proof for the Generalized Continuum Hypothesis4. The Consistency of the Axiom of Choice and of the Generalized Continuum Hypothesis with the Axioms of Set Theory5. Charles Parsons: Introductory Note to 19466. Remarks Before the Princeton Bicentennial Conference on Problems in Mathematics7. Gregory H. Moore: Introductory Note to 1947 and 19648. What is Cantor's Continuum Problem?9. S.W. Hawking: Introductory Note to 1949 and 195210. An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation11. A Remark About the Relationship Between Relativity Theory and Idealistic Philosophy12. Rotating Universes in General Relativity Theory13. A.S. Troelstra: Introductory Note to 1958 and 197214. On a Hiterto Unutilized Extension of the Finitary Standpoint16. What is Cantor's Continuum problem?17. On an Extension of Finitary Mathematics Which has not Yet Been Used18. Some Remarks on the Undecidability Results19. Jens E. Fenstad: Introductory Note to 197420. Remark on Non-Standard Analysis

Editorial Reviews

"A comprehensive edition of the 20th-century logician's work, in facing pages of German and English. Volume two covers published writings in the period 1938-1974, including newly typeset versions of papers on his continuum hypothesis, Russell's mathematical logic, Cantor's continuum problem,the relationship between relativity and idealistic philosophy, and rotating universes in general relativity theory. Each selection or group of selections is introduced, and extensive notes and references are included."--SciTech Book News