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Collected Works: Volume III: Unpublished essays and lectures
     

Collected Works: Volume III: Unpublished essays and lectures

by Kurt Godel, S. Feferman, John W. Dawson, Warren Goldfarb, Charles Parsons
 

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ISBN-10: 0195072553

ISBN-13: 9780195072556

Pub. Date: 01/28/1995

Publisher: Oxford University Press

Kurt Gödel (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

Overview

Kurt Gödel (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 Gödel'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 This third volume features a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass, documents that enlarge considerably our appreciation of his scientific and philosophical thought and add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 Gödel'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.

Product Details

ISBN-13:
9780195072556
Publisher:
Oxford University Press
Publication date:
01/28/1995
Pages:
560
Product dimensions:
6.50(w) x 9.56(h) x 1.51(d)

Table of Contents

1. The Nachlass of Kurt Gödel: an overview, John W. Dawson, Jr.
2. Gödel's Gabelsberger shorthand, Cheryl A. Dawson
3. Gödel *1930c: Introductory note to *1930c, Warren Goldfarb
4. Lecture on completeness of the functional calculus
5. Gödel *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 Göttingen
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 Føllesdal
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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