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 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to Godel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Godel's Nachlass. These long-awaited final two volumes contain Godel'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 Godel'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 Godel: 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 Godel'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.
1. The Nachlass of Kurt Godel: an overview ; 2. Godel's Gabelsberger shorthand ; 3. Godel *1930c: Introductory note to *1930c ; 4. Lecture on completeness of the functional calculus ; 5. Godel *1931?: Introductory note to *1931? ; 6. On undecidable sentences ; 7. Godel *1933c: Introductory note to *1933c ; 8. The present situation in the foundations of mathematics ; 9. Godel *1933?: Introductory note to *1933? ; 10. Simplified proof of a theorem of Steinitz ; 11. Godel *1938a: Introductory note to *1938a ; 12. Lecture at Zilsel's ; 13. Godel *1939b: Introductory note to *1939b and *1940a ; 14. Lecture at Gottingen ; 15. Godel *193?: Introductory note to *193? ; 16. Undecidable diophantine propositions ; 17. Godel *1940a ; 18. Lecture on the consistency of the continuum hypothesis ; 19. Godel *1941: Introductory note to *1941 ; 20. In what sense is intuitionistic logic constructive? ; 21. Godel *1946/9: Introductory note to *1946/9 ; 22. Some observations about the relationship between theory of relativity and Kantian philosophy ; 23. Godel *1949b: Introductory note to *1949b ; 24. Lecture on rotating universes ; 25. Godel *1951: Introductory note to *1951 ; 26. Some basic theorems on the foundations of mathematics and their implications ; 27. 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. Godel *1961/?: Introductory note to *1961/? ; 31. The modern development of the foundations of mathematics in the light of philosophy ; 32. Godel *1970: Introductory note to *1970 ; 32. Ontological proof ; 33. 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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