- ホーム
- > 洋書
- > 英文書
- > Science / Mathematics
基本説明
New in paperback. Hardcover was published in 1986. An informative essay gives an overview of Godel's life and work, and facing English translations for all German originals, extensive explanatory and historical introductory notes, and a complete bibliography are featured.
Full Description
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 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to Gödel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass. These long-awaited final two volumes contain Gödel'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 Gödel'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 Gödel: 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 Gödel'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.
Contents
Gödel's life and work Solomon Feferman: A Gödel chronology John W. Dawson, Jr.: Gödel 1929: Introductory note to 1929, 1930 and 1930a Burton Dreben and Jean van Heijenoort: Über die Vollständigkeit des Logikkalküls On the completeness of the calculus of logic Gödel 1930: (See introductory note under Gödel 1929.) Die Vollständigkeit der Axiome des logischen Funktionenkalküls The completeness of the axioms of the functional calculus of logic Gödel 1930a: (See introductory note under Gödel 1929.) Über die Vollständigkeit des Logikkalküls On the completeness of the calculus of logic Gödel 1930b: Introductory note to 1930b, 1931 and 1932b Stephen C. Kleene: Einige metamathematische Resultate über Entscheidungs-definitheit und Widerspruchsfreiheit Some metamathematical results on completeness and consistency Gödel 1931: (See introductory note under Gödel 1930b.) Über formal unentscheidbare Sätze der Principia mathematica und verwandter Systeme I On formally undecidable propositions of Principia mathematica and related systems I Gödel 1931a: Introductory note to 1931a, 1932e, f and g John W. Dawson, Jr.: Diskussion zur Grundlegung der Mathematik Discussion on providing a foundation for mathematics Gödel 1931b: Review of Neder 1931 Gödel 1931c: Introductory note to 1931c Solomon Feferman: Review of Hilbert 1931 Gödel 1931d: Review of Betsch 1926 Gödel 1931e: Review of Becker 1930 Gödel 1931f: Review of Hasse and Scholz 1928 Gödel 1931g: Review of von Juhos 1930 Gödel 1932: Introductory note to 1932 A. S. Troelstra: Zum intuitionistischen aussagenkalkül On the intuitionistic propositional calculus Gödel 1932a: Introductory note to 1932a, 1933i and l Warren D. Goldfarb: Ein Spezialfall des Enscheidungsproblems der theoretischen Logik A special case of the decision problem for theoretical logic Gödel 1932b: (See introductory note under Gödel 1930b.) Über Vollständigkeit und Widerspruchsfreiheit On completeness and consistency Gödel 1932c: Introductory note to 1932c W. V. Quine: Eine Eigenschaft der Realisierungen des Aussagenkalküls A property of the realizations of the propositional calculus Gödel 1932d: Review of Skolem 1931 Gödel 1932e: (See introductory note under Gödel 1931a.) Review of Carnap 1931 Gödel 1932f: (See introductory note under Gödel 1931a.) Review of Heyting 1931 Gödel 1932g: (See introductory note under Gödel 1931a.) Review of von Neumann 1931 Gödel 1932h: Review of Klein 1931 Gödel 1932i: Review of Hoensbroech 1931 Gödel 1932j: Review of Klein 1932 Gödel 1932k: Introductory note to 1932k, 1934e and 1936b Stephen C. Kleene: Review of Church 1932 Gödel 1932l: Review of Kalmár 1932 Gödel 1932m: Review of Huntington 1932 Gödel 1932n: Review of Skolem 1932 Gödel 1932o: Review of Dingler 1931 Gödel 1933: Introductory note to 1933 W. V. Quine: [[Über die Parryschen Axiome]] [[On Parry's axioms]] Gödel 1933a: Introductory note to 1933a W. V. Quine: Über Unabhängigkeitsbeweise im Aussagenkalkül On independence proofs in the propositional calculus Gödel 1933b: Introductory note to 1933b, c, d, g and h Judson Webb: Über die metrische Einbettbarkeit der Quadrupel des R[3 in Kugelflächen On the isometric embeddability of quadruples of points of R[3 in the surface of a sphere Gödel 1933c: (See introductory note under Gödel 1933b.) Über die Waldsche Axiomatik des Zwichenbegriffes On Wald's axiomization of the notion of betweenness Gödel 1933d: (See introductory note under Gödel 1933b.) Zur Axiomatik der elementargeometrischen Verknüpfungs-relationen On the axiomatization of the relations of connection in elementary geometry Gödel 1933e: Introductory note to 1933e A. S. Troelstra: Zur institutionistischen Arithmetik und Zahlentheorie On intuitionistic arithmetic and number theory Gödel 1933f: Introductory note to 1933f A. S. Troelstra: Eine Interpretation des institutionistischen Aussagenkalküls An interpretation of the intuitionistic propositional calculus Gödel 1933g: (See introductory note under Gödel 1933b.) Bemerkung über projektive Abbildungen Remark concerning projective mappings Gödel 1933h: (See introductory note under Gödel 1933b.) Diskussion über koordinatenlose Differentialgeometrie Discussion concerning coordinate-free differential geometry Gödel 1933i: (See introductory note under Gödel 1932a.) Zum Enscheidungsproblem des logischen Funktionenkalküls On the decision probelm for the functional calculus of logic Gödel 1933j: Review of Kaczmarz 1932 Gödel 1933k: Review of Lewis 1932 Gödel 1933l: (See introductory note under Gödel 1932a.) Review of Kalmár 1933 Gödel 1933m: Review of Hahn 1932 Gödel 1934: Introductory note to 1934 Stephen C. Kleene: On undecidable propositions of formal mathematical systems Gödel 1934a: Review of Skolem 1933 Gödel 1934b: Introductory note to 1934b W. V. Quine: Review of Quine 1933 Gödel 1934c: Introductory note to 1934c and 1935 Robert L. Vaught: Review of Skolem 1933a Gödel 1934d: Review of Chen 1933 Gödel 1934e: (See introductory note under Gödel 1932k.) Review of Church 1933 Gödel 1934f: Review of Notcutt 1934 Gödel 1935: (See introductory note under Gödel 1934c.) Review of Skolem 1934 Gödel 1935a: Introductory note to 1935a W. V. Quine: Review of Huntington 1934 Gödel 1935b: Review of Carnap 1934 Gödel 1935c: Review of Kalmár 1934 Gödel 1936: Introductory note to 1936 John W. Dawson, Jr.: Diskussionsbemerkung Discussion remark Gödel 1936a: Introductory note to 1936a Rohit Parikh: Über die Länge von Beweisen On the length of proofs Gödel 1936b: (See introductory note under Gödel 1932k.) Review of Church 1935 Textual notes References Index
