ISBN-10:
0195072553
ISBN-13:
9780195072556
Pub. Date:
03/30/1995
Publisher:
Oxford University Press
ISBN-10:
0195072553
ISBN-13:
9780195072556
Pub. Date:
03/30/1995
Publisher:
Oxford University Press
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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 This third volume features a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass, documents that enlarge considerably our appreciation of his scientific and philosophical thought and add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: 03/30/1995
Series: Collected Works of Kurt Godel , #3
Pages: 560
Product dimensions: 9.28(w) x 6.34(h) x 1.67(d)

About the Author

The Editor-in-Chief
Solomon Feferman is Professor of Mathematics and Philosophy, and Chairman of the Department of Mathematics at Stanford University. He is past president of the Association of Symbolic Logic.

The Editors
John W. Dawson, Jr., is Professor of Mathematics at Pennsylvania State University, York.
Steven C. Kleene is Emeritus Dean of Letters and Science, and Emeritus Professor of Mathematics and Computer Science at the University of Wisconsin, Madison.
Gregory H. Moore is Associate Professor of Mathematics at McMaster University, Hamilton, Ontario, Canada.
Robert M. Solovay is Professor of Mathematics at the University of California, Berkeley.
The late Jean van Heijenoort was Emeritus Professor of Philosophy at Brandeis University until his death in 1986.

Table of Contents

1 The Nachlass of Kurt Gödel: an overview, John W. Dawson, Jr.2. Gödel's Gabelsberger shorthand, Cheryl A. Dawson3. Gödel *1930c: Introductory note to *1930c, Warren Goldfarb4. Lecture on completeness of the functional calculus5. Gödel *1931?: Introductory note to *1931?, Stephen C. Kleene6. On undecidable sentences7. Godel *1933c: Introductory note to *1933c, Solomon Feferman8. The present situation in the foundations of mathematics9. Godel *1933?: Introductory note to *1933?, Israel Halperin10. Simplified proof of a theorem of Steinitz11. Godel *1938a: Introductory note to *1938a, Wilfried Sieg and Charles Parsons12. Lecture at Zilsel's13. Godel *1939b: Introductory note to *1939b and *1940a, Robert M. Solovay14. Lecture at Göttingen15. Godel *193?: Introductory note to *193?, Martin Davis16. Undecidable diophantine propositions17. Godel *1940a18. Lecture on the consistency of the continuum hypothesis19. Godel *1941: Introductory note to *1941, A.S. Troelstra20. In what sense is intuitionistic logic constructive? 21. Godel *1946/9: Introductory note to *1946/9, Howard Stein22. Some observations about the relationship between theory of relativity and Kantian philosophy23. Godel *1949b: Introductory note to *1949b, David B. Malament24. Lecture on rotating universes25. Godel *1951: Introductory note to *1951, George Boolos26. Some basic theorems on the foundations of mathematics and their implications27. Godel *1953/9: Introductory note to *1953/9, Warren Goldfarb28. Is mathematics syntax of language? Version III29. Is mathematics syntax of language? Version V30. Godel *1961/?: Introductory note to *1961/?, Dagfinn Føllesdal31. The modern development of the foundations of mathematics in the light of philosophy32. Godel *1970: Introductory note to *1970, Robert M. Adams32. Ontological proof33. Godel *1970a: Introductory note to *1970a, *1970b and *1970c, Robert M. Solovay34. Some considerations leading to the probable conclusion that the true power of the continuum is N[235. Godel *1970b36. A proof of Cantor's continuum hypothesis from a highly plausible axiom about orders of growth37. Godel *1970c38. Unsent letter to Alfred TarskiAppendix A: Excerpt from *1946/9-AAppendix B: Texts relating to the ontological proof
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