Collected Works: Volume II: Publications 1938-1974

Collected Works: Volume II: Publications 1938-1974

by Kurt Godel
     
 

ISBN-10: 0195147219

ISBN-13: 9780195147216

Pub. Date: 06/28/2001

Publisher: Oxford University Press

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 decision problem, and the foundations of computation theory, as well as for the…  See more details below

Overview

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 decision problem, 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 format established 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 Succeeding volumes are to contain unpublished manuscripts, lectures,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.

Read More

Product Details

ISBN-13:
9780195147216
Publisher:
Oxford University Press
Publication date:
06/28/2001
Pages:
432
Sales rank:
443,023
Product dimensions:
6.10(w) x 9.10(h) x 1.10(d)

Table of Contents

1. Introductory Note to 1938, 1939 and 1940, Robert M. Solovay
2. The Consistency of the Axiom of Choice and of the Generalized Continuum Hypothesis
3. Consistency Proof for the Generalized Continuum Hypothesis
4. The Consistency of the Axiom of Choice and of the Generalized Continuum Hypothesis with the Axioms of Set Theory
5. Introductory Note to 1946, Charles Parsons
6. Remarks Before the Princeton Bicentennial Conference on Problems in Mathematics
7. Introductory Note to 1947 and 1964, Gregory H. Moore
8. What is Cantor's Continuum Problem?
9. Introductory Note to 1949 and 1952, S.W. Hawking
10. An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation
11. A Remark About the Relationship Between Relativity Theory and Idealistic Philosophy
12. Rotating Universes in General Relativity Theory
13. Introductory Note to 1958 and 1972, A.S. Troelstra
14. On a Hiterto Unutilized Extension of the Finitary Standpoint
16. What is Cantor's Continuum problem?
17. On an Extension of Finitary Mathematics Which has not Yet Been Used
18. Some Remarks on the Undecidability Results
19. Introductory Note to 1974, Jens E. Fenstad
20. Remark on Non-Standard Analysis

Read More

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >