Kurt Goedel: Collected Works: Volume III

Kurt Goedel: Collected Works: Volume III : Unpublished Essays and Lectures

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Kurt Goedel (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 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 computability theory, as well as for the strong individuality of his writings on the philosophy of mathematics. He is
less well known for his discovery of unusual cosmological models for Einstein's equations, in theory permitting time travel into the past.
The Collected Works is a landmark resource that draws together a lifetime of creative thought and accomplishment. The first two volumes were devoted to Goedel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Goedel's Nachlass. These long-awaited final two volumes contain Goedel's correspondence of logical, philosophical, and scientific interest. Volume IV covers A to G, with
H to Z in volume V; in addition, Volume V contains a full inventory of Goedel's Nachlass.
All volumes include introductory notes that provide extensive explanatory and historical commentary on each body of work, English translations of material originally written in German (some transcribed from the Gabelsberger shorthand), and a complete bibliography of all works cited.
Kurt Goedel: Collected Works is designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy. The only comprehensive edition of Goedel's work available, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science and all others who wish to be acquainted with one of the great minds of the twentieth century.
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Product details

  • Hardback | 552 pages
  • 163 x 242 x 35mm | 947g
  • New York, United States
  • English
  • frontispiece, 6 halftones
  • 0195072553
  • 9780195072556

Table of contents

1: John W. Dawson, Jr.: The Nachlass of Kurt Goedel: an overview
2: Cheryl A. Dawson: Goedel's Gabelsberger shorthand
3: Warren Goldfarb: Goedel *1930c: Introductory note to *1930c
4: Lecture on completeness of the functional calculus
5: Stephen C. Kleene: Goedel *1931?: Introductory note to *1931?
6: On undecidable sentences
7: Solomon Feferman: Godel *1933c: Introductory note to *1933c
8: The present situation in the foundations of mathematics
9: Israel Halperin: Godel *1933?: Introductory note to *1933?
10: Simplified proof of a theorem of Steinitz
11: Wilfried Sieg and Charles Parsons: Godel *1938a: Introductory note to *1938a
12: Lecture at Zilsel's
13: Robert M. Solovay: Godel *1939b: Introductory note to *1939b and *1940a
14: Lecture at Goettingen
15: Martin Davis: Godel *193?: Introductory note to *193?
16: Undecidable diophantine propositions
17: Godel *1940a
18: Lecture on the consistency of the continuum hypothesis
19: A.S. Troelstra: Godel *1941: Introductory note to *1941
20: In what sense is intuitionistic logic constructive?
21: Howard Stein: Godel *1946/9: Introductory note to *1946/9
22: Some observations about the relationship between theory of relativity and Kantian philosophy
23: David B. Malament: Godel *1949b: Introductory note to *1949b
24: Lecture on rotating universes
25: George Boolos: Godel *1951: Introductory note to *1951
26: Some basic theorems on the foundations of mathematics and their implications
27: Warren Goldfarb: Godel *1953/9: Introductory note to *1953/9
28: Is mathematics syntax of language? Version III
29: Is mathematics syntax of language? Version V
30: Dagfinn Follesdal: Godel *1961/?: Introductory note to *1961/?
31: The modern development of the foundations of mathematics in the light of philosophy
32: Robert M. Adams: Godel *1970: Introductory note to *1970
32: Ontological proof
33: Robert M. Solovay: Godel *1970a: Introductory note to *1970a, *1970b and *1970c
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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Review quote

Each item in the volume carries an introduction written by a leading expert, and there are detailed textual notes at the end of the book. The editorial standards are extremely high throughout * London Mathematical Society 1997 * The book, ... will certainly enlarge our appreciation of Goedel's scientific and philosophical thought as well as our understanding of his motivations. * Mathematical Reviews, Issue 96f. * 'These volumes contain, as well as the doctoral dissertation and a hitherto unpublished revision of a translation of the Dialectica paper, all of Goedel's work printed in his lifetime. The volumes are meticulously edited and are a pleasure to consult. Original page numbers are clearly shown; papers written in German are printed with facing translations.'
R.O. Gandy, Bulletin of the London Mathematical Society, 24 (1992) From reviews of Volume I:

` Anyone interested in the life and work of Kurt Goedel, h n the history of mathematical logic in this century, is indebted to all of the contributors to this volume for the care with which they have presented Goedel's work. They have succeeded in using their own expertise to elucidate both the nature and the significance of what Goedel and, in turn, mathematical logic have accomplished.' Isis

` From the example of this first volume, the edition promises to be a model of its kind; virtually nothing could be bettered.' Mind All these essays and lectures are most carefully written and remarkably rich. They all give considerable insight into Goedel's own achievements in Logic, Set Theory and Physics and also into his philosophical views ... We [] hope very strongly that volume 3 is not the last volume and that other volumes (comprising his letters and notes?) will appear soon. * Vienna Circle Institute Yearbook (1997) 5: Game Theory, Experience, Rationality * It is a fascinating and enduringly important collection, superbly well-edited, each paper being prefaced with an excellent intoduction providing background information, summaries of the arguments and, where necessary, criticisms of the views expressed.

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, unusually, combines intellectual rigour with a willingness to make bold and metaphysical claims. Times Higher Education Supplement, 15 March 1996
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