Collected Works: Volume III: Unpublished Essays and Lectures

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Overview

Kurt G�del (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 stronger systems, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, the foundations of computation theory, unusual cosmological models, and for the strong individuality of his writings on the philosophy of mathematics. The Collected Works is a landmark resource that draws together a lifetime of creative accomplishment. The first two volumes were devoted to G�del's publications in full (both in the original and translation). This third volume features a wide selection of unpublished articles and lecture texts found in G�del's Nachlass, documents that enlarge considerably our appreciation of his scientific and philosophical thought and add a great deal to our understanding of his motivations. Continuing the format of the earlier volumes, the present volume includes introductory notes that provide extensive explanatory and historical commentary on each of the papers, English translations of material originally written in German (some transcribed from Gabelsberger shorthand), and a complete bibliography. A succeeding volume is to contain a comprehensive selection of G�del's scientific correspondence and a complete inventory of his Nachlass. The books are 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.

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Editorial Reviews

Booknews
A comprehensive edition of the 20th-century logician's work, in facing pages of German and English. This third volume is a selection of unpublished and often unfinished papers and texts for individual lectures found in G<:o>del's . A projected fourth volume will be devoted to a selection of his scientific correspondence and a full inventory of his . Each selection or group of selections is introduced. Each volume is paged and indexed separately. The indexes contain only names. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780195147223
  • Publisher: Oxford University Press
  • Publication date: 5/28/2001
  • Edition description: New Edition
  • Pages: 560
  • Sales rank: 1,346,641
  • Product dimensions: 6.10 (w) x 9.10 (h) x 1.40 (d)

Meet the Author

Stanford University

Pennsylvania State University

both of Harvard University

University of California, Berkeley

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Table of Contents

1. The Nachlass of Kurt G�del: an overview, John W. Dawson, Jr.
2. G�del's Gabelsberger shorthand, Cheryl A. Dawson
3. G�del *1930c: Introductory note to *1930c, Warren Goldfarb
4. Lecture on completeness of the functional calculus
5. G�del *1931?: Introductory note to *1931?, Stephen C. Kleene
6. On undecidable sentences
7. Godel *1933c: Introductory note to *1933c, Solomon Feferman
8. The present situation in the foundations of mathematics
9. Godel *1933?: Introductory note to *1933?, Israel Halperin
10. Simplified proof of a theorem of Steinitz
11. Godel *1938a: Introductory note to *1938a, Wilfried Sieg and Charles Parsons
12. Lecture at Zilsel's
13. Godel *1939b: Introductory note to *1939b and *1940a, Robert M. Solovay
14. Lecture at G�ttingen
15. Godel *193?: Introductory note to *193?, Martin Davis
16. Undecidable diophantine propositions
17. Godel *1940a
18. Lecture on the consistency of the continuum hypothesis
19. Godel *1941: Introductory note to *1941, A.S. Troelstra
20. In what sense is intuitionistic logic constructive?
21. Godel *1946/9: Introductory note to *1946/9, Howard Stein
22. Some observations about the relationship between theory of relativity and Kantian philosophy
23. Godel *1949b: Introductory note to *1949b, David B. Malament
24. Lecture on rotating universes
25. Godel *1951: Introductory note to *1951, George Boolos
26. Some basic theorems on the foundations of mathematics and their implications
27. Godel *1953/9: Introductory note to *1953/9, Warren Goldfarb
28. Is mathematics syntax of language? Version III
29. Is mathematics syntax of language? Version V
30. Godel *1961/?: Introductory note to *1961/?, Dagfinn F�llesdal
31. The modern development of the foundations of mathematics in the light of philosophy
32. Godel *1970: Introductory note to *1970, Robert M. Adams
32. Ontological proof
33. Godel *1970a: Introductory note to *1970a, *1970b and *1970c, Robert M. Solovay
34. Some considerations leading to the probable conclusion that the true power of the continuum is N[2
35. Godel *1970b
36. A proof of Cantor's continuum hypothesis from a highly plausible axiom about orders of growth
37. Godel *1970c
38. Unsent letter to Alfred Tarski Appendix A: Excerpt from *1946/9-A Appendix B: Texts relating to the ontological proof

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