Kurt Gödel: Collected Works: Volume III

"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

• 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