Collected works  v. 1 ~ v. 5

Kurt Gödel ; edited by Solomon Feferman ... [et al.]

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to Godel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Godel's Nachlass. The final two volumes contain Godel's correspondence of logical, philosophical, and scientific interest. Volume IV, published for the first time in paperback, 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.

「Nielsen BookData」より

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 V, published for the first time in paperback, includes H to Z as well as a full inventory of Godel's Nachlass, while Volume IV covers A to G. 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.

「Nielsen BookData」より

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. L 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.

「Nielsen BookData」より

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. L 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.

「Nielsen BookData」より

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. L 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.

「Nielsen BookData」より

[目次]

  • 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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[目次]

  • List of Illustrations
  • Allan Angoff: introductory note and corresondence
  • Yossef Balas: introductory note and corresondence
  • Heinrich Behmann: introductory note and corresondence
  • Paul Bernays: introductory note and corresondence
  • Kenneth Blackwell: introductory note and corresondence
  • Herbert G. Bohnert: introductory note and corresondence
  • William Boone: introductory note and corresondence
  • Georg Brutian: introductory note and corresondence
  • J. Richard Buchi: introductory note and corresondence
  • Rudolph Carnap: introductory note and corresondence
  • Alonzo Church: introductory note and corresondence
  • Paul J. Cohen: introductory note and corresondence
  • Burton Dreben: introductory note and corresondence
  • Herbert Feigl: introductory note and corresondence
  • Paul Finsler: introductory note and corresondence
  • Wilson Follett: introductory note and corresondence
  • Leonard Goddard: introductory note and corresondence
  • Marianne Godel: introductory note and corresondence
  • Burke D. Grandjean: introductory note and corresondence
  • Marvin Jay Greenberg: introductory note and corresondence
  • Gotthard Gunther: introductory note and corresondence
  • Calendars of Correspondence
  • Textual notes
  • References
  • Addenda and corrigenda to volumes I-III

「Nielsen BookData」より

[目次]

  • List of illustrations
  • Leon Henkin: introductory note and correspondence
  • Jacques Herbrand: introductory note and correspondence
  • Arend Heyting: introductory note and correspondence
  • Ted Honderich: introductory note and correspondence
  • Ralph Hwastecki: introductory note and correspondence
  • Karl Menger: introductory note and correspondence
  • Ernest Nagel: introductory note and correspondence
  • Donald Perlis: introductory note and correspondence
  • Walter Pitts: introductory note and correspondence
  • David F. Plummer: introductory note and correspondence
  • Karl Popper: introductory note and correspondence
  • Emil L. Post: introductory note and correspondence
  • Leon Rappaport: introductory note and correspondence
  • Wolfgang Rautenberg: introductory note and correspondence
  • Constance Reid: introductory note and correspondence
  • Abraham Robinson: introductory note and correspondence
  • Bertrand Russell: introductory note and correspondence
  • Frederick W. Sawyer: introductory note and correspondence
  • Paul Arthur Schilpp: introductory note and correspondence
  • Carl Seeling: introductory note and correspondence
  • Thoralf Skolem: introductory note and correspondence
  • Patrick Suppes: introductory note and correspondence
  • Alfred Tarski: introductory note and correspondence
  • Hans Thirring: introductory note and correspondence
  • Stanislaw Ulam: introductory note and correspondence
  • Jean van Heijenoort: introductory note and correspondence
  • John von Neumann: introductory note and correspondence
  • Hao Wang: introductory note and correspondence
  • Ernst Zermelo: introductory note and correspondence
  • Calendars of correspondence
  • Appendix A: Letters by others written on Godel's behalf
  • Appendix B: (1974a) Alternate version of Remark 3 of 1972a
  • Textual notes
  • Referenes
  • Index

「Nielsen BookData」より

[目次]

  • 1. Introductory Note to 1938, 1939 and 1940
  • 2. The Consistency of the Axiom of Choice and of the Generalized Continuum Hypothesis
  • 3. CONSISTENCY PROOF FOR THE GENERALIZED CONTINUUM HYPOTHESIS
  • 4. The Consistency of the Axiom of Choice and of the Generalized Continuum Hyothesis with the Axioms of Set Theory
  • 5. Introductory Note to 1946
  • 6. Remarks Before the Princeton Bicentennial Conference on Problems in Mathematics
  • 7. Introductory Note to 1947 and 1964
  • 8. What is Cantor's Continuum Problem?
  • 9. Introductory Note to 1949 and 1952
  • 10. An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation
  • 11. A Remark About the Relationship Between Relativity Theory and Idealistic Philosophy
  • 12. Rotating Universes in General Relativity Theory
  • 13. Introductory Note to 1958 and 1972
  • 14. On a Hiterto Unutilized Extension of the Finitary Standpoint
  • 16. What is Cantor's Continuum problem?
  • 17. On an Extension of Finitary Mathematics Which has not Yet Been Used
  • 18. Some Remarks on the Undecidability Results
  • 19. Introductory Note to 1974
  • 20. Remark on Non-Standard Analysis

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この本の情報

書名 Collected works
著作者等 Feferman, Solomon
Gödel, Kurt
Dawson John W.
Goldfarb Warren
Heijenoort Jean van
Kleene Stephen C.
Moore Gregory H.
Parsons Charles
Sieg Wilfried (Carnegie Mellon University Pittsburgh USA)
Solovay Robert M.
Godel Kurt
巻冊次 v. 1
v. 2
v. 3
v. 4
v. 5
出版元 Oxford University Press
刊行年月 2001-2014, c1986-c2003
版表示 Pbk. ed
ページ数 5 v.
大きさ 24 cm
ISBN 0195147219
0195147227
0195147200
9780199689620
9780199689613
NCID BA52370709
※クリックでCiNii Booksを表示
言語 ドイツ語
英語
出版国 アメリカ合衆国
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