Collected Works

Volume III: Unpublished essays and lectures

Kurt Godel
Edited by S. Feferman, (Editor-in-Chief), John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and R. Solovay

Collected Works

Volume III: Unpublished essays and lectures

Kurt Godel
Edited by S. Feferman, (Editor-in-Chief), John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and R. Solovay

Description

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 This third volume features a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass, documents that enlarge considerably our appreciation of his scientific and philosophical thought and add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

Collected Works

Volume III: Unpublished essays and lectures

Kurt Godel
Edited by S. Feferman, (Editor-in-Chief), John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and R. Solovay

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 N₂
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

Collected Works

Volume III: Unpublished essays and lectures

Kurt Godel
Edited by S. Feferman, (Editor-in-Chief), John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and R. Solovay

Reviews and Awards

"The book....will certainly enlarge our appreciation of Gödel's scientific and philosophical thought as well as our understanding of his motivations. With great impatience we await now the succeeding volume...." --Mathematical Reviews

"As a whole this volume is as indispensable as the two former ones for any serious student of Godel's ideas and achievements, but in this case it is also indispensable for philosophers interested in logic and mathematics. The fourth (and last?) volume of this formidable series will be devoted to Godel's correspondance, so we should look forward to having it to study."--Modern Logic

"On the whole....the editors are to be wholeheartedly congratulated on bringing to the public work which deserves careful study and which ought to do something to revitalise the philosophy of mathematics by presenting a point of view that, unusualy, combines intellectual rogour with a willingness to make bold and sweeping metaphysical claims." --Times Higher Education Supplement

"This is the third volume of a comprehensive and critical edition of the works of Kurt Gödel. . .All these essays and lectures are most carefully written and remarkably rich. They give considerable insight into Gödel's own achievements in logic, set theory and physics and also into his philosophical views. . . .This volume was a desideratum for a long time. We also hope very strongly that volume 3 is not the last volume." --Vienna Circle Institute Yearbook 1997 contains unpublished material

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Collected Works

Kurt Godel
Edited by S. Feferman, (Editor-in-Chief), John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and R. Solovay

Collected Works

Kurt Godel
Edited by S. Feferman, (Editor-in-Chief), John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and R. Solovay

Description

Collected Works

Kurt Godel
Edited by S. Feferman, (Editor-in-Chief), John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and R. Solovay

Table of Contents

Collected Works

Kurt Godel
Edited by S. Feferman, (Editor-in-Chief), John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and R. Solovay

Reviews and Awards

Also of Interest

Kurt Godel: Collected Works: Volume IV

Modern Logic

Moths, Myths, and Mosquitoes

Frege's Theorem

Kurt Godel: Collected Works: Volume V

Game Theory: A Very Short Introduction

Planck

Descartes and the First Cartesians

Modal Logic

Isaac Newton's Scientific Method

Conditionals, Paradox, and Probability

Tracking Reason

Scientific Culture and the Making of the Industrial West

Reasons as Defaults

Hilbert's Programs and Beyond

Scientific Culture and the Making of the Industrial West

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Dear Customer,

Also Available As:

Collected Works

Kurt Godel Edited by S. Feferman, (Editor-in-Chief), John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and R. Solovay

Collected Works

Kurt Godel Edited by S. Feferman, (Editor-in-Chief), John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and R. Solovay

Description

Collected Works

Kurt Godel Edited by S. Feferman, (Editor-in-Chief), John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and R. Solovay

Table of Contents

Collected Works

Kurt Godel Edited by S. Feferman, (Editor-in-Chief), John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and R. Solovay

Reviews and Awards

Also of Interest

Related Categories

Kurt Godel
Edited by S. Feferman, (Editor-in-Chief), John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and R. Solovay

Kurt Godel
Edited by S. Feferman, (Editor-in-Chief), John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and R. Solovay

Kurt Godel
Edited by S. Feferman, (Editor-in-Chief), John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and R. Solovay

Kurt Godel
Edited by S. Feferman, (Editor-in-Chief), John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and R. Solovay