Kurt Goedel (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to Goedel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Goedel's Nachlass. These long-awaited final two volumes contain Goedel'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 Goedel'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 Goedel: 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 Goedel'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.
Rezensionen / Stimmen
The whole enterprise is superbly coordinated and assembled under the direction of Solomon Feferman ... The book is a tour de force and a labour of love. Superbly crafted and presented, what a bargain, given the many gems it contains! * The Mathematical Gazette * The books are carefully and beautifully produced and offer rich material, illuminating not only the outstanding work of Goedel, but also the whole mathematical logic of the twentieth century, including some philosophical and historical aspects. * EMS *
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Höhe: 234 mm
Breite: 156 mm
Dicke: 28 mm
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ISBN-13
978-0-19-514720-9 (9780195147209)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
Herausgeber*in
Professor of MathematicsProfessor of Mathematics, Stanford University, USA
Professor of MathematicsProfessor of Mathematics, Pennsylvania State University, USA
Emeritus Professor of Mathematics and Computer ScienceEmeritus Professor of Mathematics and Computer Science, University of Wisconsin, Canada
, McMaster University, Ontario, Canada
Professor of MathematicsProfessor of Mathematics, University of California, Berkeley, USA
Goedel's life and workSolomon Feferman:
A Goedel chronologyJohn W. Dawson, Jr.:
Goedel 1929: Introductory note to 1929, 1930 and 1930aBurton Dreben and Jean van Heijenoort:
UEber die Vollstaendigkeit des Logikkalkuels
On the completeness of the calculus of logic
Goedel 1930: (See introductory note under Goedel 1929.)
Die Vollstaendigkeit der Axiome des logischen Funktionenkalkuels
The completeness of the axioms of the functional calculus of logic
Goedel 1930a: (See introductory note under Goedel 1929.)
UEber die Vollstaendigkeit des Logikkalkuels
On the completeness of the calculus of logic
Goedel 1930b: Introductory note to 1930b, 1931 and 1932bStephen C. Kleene:
Einige metamathematische Resultate ueber Entscheidungs-definitheit und Widerspruchsfreiheit
Some metamathematical results on completeness and consistency
Goedel 1931: (See introductory note under Goedel 1930b.)
UEber formal unentscheidbare Saetze der Principia mathematica und verwandter Systeme I
On formally undecidable propositions of Principia mathematica and related systems I
Goedel 1931a: Introductory note to 1931a, 1932e, f and gJohn W. Dawson, Jr.:
Diskussion zur Grundlegung der Mathematik
Discussion on providing a foundation for mathematics
Goedel 1931b: Review of Neder 1931
Goedel 1931c: Introductory note to 1931cSolomon Feferman:
Review of Hilbert 1931
Goedel 1931d: Review of Betsch 1926
Goedel 1931e: Review of Becker 1930
Goedel 1931f: Review of Hasse and Scholz 1928
Goedel 1931g: Review of von Juhos 1930
Goedel 1932: Introductory note to 1932A. S. Troelstra:
Zum intuitionistischen aussagenkalkuel
On the intuitionistic propositional calculus
Goedel 1932a: Introductory note to 1932a, 1933i and lWarren D. Goldfarb:
Ein Spezialfall des Enscheidungsproblems der theoretischen Logik
A special case of the decision problem for theoretical logic
Goedel 1932b: (See introductory note under Goedel 1930b.)
UEber Vollstaendigkeit und Widerspruchsfreiheit
On completeness and consistency
Goedel 1932c: Introductory note to 1932cW. V. Quine:
Eine Eigenschaft der Realisierungen des Aussagenkalkuels
A property of the realizations of the propositional calculus
Goedel 1932d: Review of Skolem 1931
Goedel 1932e: (See introductory note under Goedel 1931a.)
Review of Carnap 1931
Goedel 1932f: (See introductory note under Goedel 1931a.)
Review of Heyting 1931
Goedel 1932g: (See introductory note under Goedel 1931a.)
Review of von Neumann 1931
Goedel 1932h: Review of Klein 1931
Goedel 1932i: Review of Hoensbroech 1931
Goedel 1932j: Review of Klein 1932
Goedel 1932k: Introductory note to 1932k, 1934e and 1936bStephen C. Kleene:
Review of Church 1932
Goedel 1932l: Review of Kalmar 1932
Goedel 1932m: Review of Huntington 1932
Goedel 1932n: Review of Skolem 1932
Goedel 1932o: Review of Dingler 1931
Goedel 1933: Introductory note to 1933W. V. Quine:
[[UEber die Parryschen Axiome]]
[[On Parry's axioms]]
Goedel 1933a: Introductory note to 1933aW. V. Quine:
UEber Unabhaengigkeitsbeweise im Aussagenkalkuel
On independence proofs in the propositional calculus
Goedel 1933b: Introductory note to 1933b, c, d, g and hJudson Webb:
UEber die metrische Einbettbarkeit der Quadrupel des R[3 in Kugelflaechen
On the isometric embeddability of quadruples of points of R[3 in the surface of a sphere
Goedel 1933c: (See introductory note under Goedel 1933b.)
UEber die Waldsche Axiomatik des Zwichenbegriffes
On Wald's axiomization of the notion of betweenness
Goedel 1933d: (See introductory note under Goedel 1933b.)
Zur Axiomatik der elementargeometrischen Verknuepfungs-relationen
On the axiomatization of the relations of connection in elementary geometry
Goedel 1933e: Introductory note to 1933eA. S. Troelstra:
Zur institutionistischen Arithmetik und Zahlentheorie
On intuitionistic arithmetic and number theory
Goedel 1933f: Introductory note to 1933fA. S. Troelstra:
Eine Interpretation des institutionistischen Aussagenkalkuels
An interpretation of the intuitionistic propositional calculus
Goedel 1933g: (See introductory note under Goedel 1933b.)
Bemerkung ueber projektive Abbildungen
Remark concerning projective mappings
Goedel 1933h: (See introductory note under Goedel 1933b.)
Diskussion ueber koordinatenlose Differentialgeometrie
Discussion concerning coordinate-free differential geometry
Goedel 1933i: (See introductory note under Goedel 1932a.)
Zum Enscheidungsproblem des logischen Funktionenkalkuels
On the decision probelm for the functional calculus of logic
Goedel 1933j: Review of Kaczmarz 1932
Goedel 1933k: Review of Lewis 1932
Goedel 1933l: (See introductory note under Goedel 1932a.)
Review of Kalmar 1933
Goedel 1933m: Review of Hahn 1932
Goedel 1934: Introductory note to 1934Stephen C. Kleene:
On undecidable propositions of formal mathematical systems
Goedel 1934a: Review of Skolem 1933
Goedel 1934b: Introductory note to 1934bW. V. Quine:
Review of Quine 1933
Goedel 1934c: Introductory note to 1934c and 1935Robert L. Vaught:
Review of Skolem 1933a
Goedel 1934d: Review of Chen 1933
Goedel 1934e: (See introductory note under Goedel 1932k.)
Review of Church 1933
Goedel 1934f: Review of Notcutt 1934
Goedel 1935: (See introductory note under Goedel 1934c.)
Review of Skolem 1934
Goedel 1935a: Introductory note to 1935aW. V. Quine:
Review of Huntington 1934
Goedel 1935b: Review of Carnap 1934
Goedel 1935c: Review of Kalmar 1934
Goedel 1936: Introductory note to 1936John W. Dawson, Jr.:
Diskussionsbemerkung
Discussion remark
Goedel 1936a: Introductory note to 1936aRohit Parikh:
UEber die Laenge von Beweisen
On the length of proofs
Goedel 1936b: (See introductory note under Goedel 1932k.)
Review of Church 1935
Textual notes
References
Index
