Collected Works: Volume III: Unpublished Essays and Lectures

Paperback | January 15, 2001

byKurt GodelEditorS. Feferman, John W. Dawson

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Kurt Godel (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 notedfor 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 creativeaccomplishment. The first two volumes were devoted to Godel'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 This third volume features a wide selection of unpublished articles and lecture texts found in Godel's Nachlass, documents that enlarge considerably our appreciation of hisscientific and philosophical thought and add a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 ofmaterial originally written in German (some transcribed from Gabelsberger shorthand), and a complete bibliography. A succeeding volume is to contain a comprehensive selection of Godel's scientific correspondence and a complete inventory of his Nachlass. The books are designed to be accessible anduseful 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 computerscience.

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Kurt Godel (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 notedfor his work on constructivity, the decision p...

S. Feferman is at Stanford University. John W. Dawson is at Pennsylvania State University. Warren Goldfarb and Charles Parsons are both at Harvard University. R. Solovay is Professor Emeritus, University of California, Berkeley.

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On Formally Undecidable Propositions of Principia Mathematica and Related Systems
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Format:PaperbackDimensions:560 pages, 5.91 × 8.9 × 1.18 inPublished:January 15, 2001Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0195147227

ISBN - 13:9780195147223

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Table of Contents

1. John W. Dawson, Jr.: The Nachlass of Kurt Godel: an overview2. Cheryl A. Dawson: Godel's Gabelsberger shorthand3. Warren Goldfarb: Godel *1930c: Introductory note to *1930c4. Lecture on completeness of the functional calculus5. Stephen C. Kleene: Godel *1931?: Introductory note to *1931?6. On undecidable sentences7. Solomon Feferman: Godel *1933c: Introductory note to *1933c8. The present situation in the foundations of mathematics9. Israel Halperin: Godel *1933?: Introductory note to *1933?10. Simplified proof of a theorem of Steinitz11. Wilfried Sieg and Charles Parsons: Godel *1938a: Introductory note to *1938a12. Lecture at Zilsel's13. Robert M. Solovay: Godel *1939b: Introductory note to *1939b and *1940a14. Lecture at Gottingen15. Martin Davis: Godel *193?: Introductory note to *193?16. Undecidable diophantine propositions17. Godel *1940a18. Lecture on the consistency of the continuum hypothesis19. A.S. Troelstra: Godel *1941: Introductory note to *194120. In what sense is intuitionistic logic constructive?21. Howard Stein: Godel *1946/9: Introductory note to *1946/922. Some observations about the relationship between theory of relativity and Kantian philosophy23. David B. Malament: Godel *1949b: Introductory note to *1949b24. Lecture on rotating universes25. George Boolos: Godel *1951: Introductory note to *195126. Some basic theorems on the foundations of mathematics and their implications27. Warren Goldfarb: Godel *1953/9: Introductory note to *1953/928. Is mathematics syntax of language? Version III29. Is mathematics syntax of language? Version V30. Dagfinn Follesdal: Godel *1961/?: Introductory note to *1961/?31. The modern development of the foundations of mathematics in the light of philosophy32. Robert M. Adams: Godel *1970: Introductory note to *197032. Ontological proof33. Robert M. Solovay: Godel *1970a: Introductory note to *1970a, *1970b and *1970c34. Some considerations leading to the probable conclusion that the true power of the continuum is N235. 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

Editorial Reviews

"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 Godel's Nachlass. A projected fourth volume will be devoted to a selectionof his scientific correspondence and a full inventory of his Nachlass. Each selection or group of selections is introduced. Each volume is paged and indexed separately."--SciTech Book News