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Collected Works: Volume I: Publications 1929-1936

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Overview

Kurt G�del (1906-1978) was the most outstanding logician of the twentieth century, noted for G�del's theorem, a hallmark of modern mathematics. The Collected Works will include both published and unpublished writings, in three or more volumes. The first two volumes will consist essentially of G�del's published works (both in the original and translation), and the third volume will feature unpublished articles, lectures, and selections from his lecture courses, correspondence, and scientific notebooks. All volumes will contain extensive introductory notes to the work as a whole and to individual articles and other material, commenting upon their contents and placing them within a historical framework. This long-awaited project is of great significance to logicians, mathematicians, philosophers and historians.

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Editorial Reviews

Booknews
A comprehensive edition of the 20th-century logician's work, in facing pages of German and English. This first volume covers published writings in the period 1929-36, beginning with his dissertation, which was previously only available through the University of Vienna. Each selection or group of selections is introduced. In addition, mathematician and philosopher Solomon Feferman contributes a biographical essay on G<:o>del's life and work. Name index only. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780195147209
  • Publisher: Oxford University Press
  • Publication date: 5/31/2001
  • Pages: 504
  • Product dimensions: 8.90 (w) x 5.80 (h) x 1.20 (d)

Meet the Author

Stanford University

Pennsylvania State University

University of Wisconson, Madison (Emeritus)

Mount Allison University, New Brunswick

University of California, Berkeley

Brandeis University

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Table of Contents

G�del's life and work Solomon Feferman
A G�del chronology John W. Dawson, Jr.
G�del 1929: Introductory note to 1929, 1930 and 1930a Burton Dreben and Jean van Heijenoort
�ber die Vollst�ndigkeit des Logikkalk�ls
On the completeness of the calculus of logic
G�del 1930: (See introductory note under G�del 1929.)
Die Vollst�ndigkeit der Axiome des logischen Funktionenkalk�ls The completeness of the axioms of the functional calculus of logic
G�del 1930a: (See introductory note under G�del 1929.)
�ber die Vollst�ndigkeit des Logikkalk�ls On the completeness of the calculus of logic
G�del 1930b: Introductory note to 1930b, 1931 and 1932b Stephen C. Kleene
Einige metamathematische Resultate �ber Entscheidungs-definitheit und Widerspruchsfreiheit Some metamathematical results on completeness and consistency
G�del 1931: (See introductory note under G�del 1930b.)
�ber formal unentscheidbare S�tze der Principia mathematica und verwandter Systeme I On formally undecidable propositions of Principia mathematica and related systems I
G�del 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
G�del 1931b: Review of Neder 1931
G�del 1931c: Introductory note to 1931c Solomon Feferman
Review of Hilbert 1931
G�del 1931d: Review of Betsch 1926
G�del 1931e: Review of Becker 1930
G�del 1931f: Review of Hasse and Scholz 1928
G�del 1931g: Review of von Juhos 1930
G�del 1932: Introductory note to 1932 A. S. Troelstra
Zum intuitionistischen aussagenkalk�l On the intuitionistic propositional calculus
G�del 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
G�del 1932b: (See introductory note under G�del 1930b.)
�ber Vollst�ndigkeit und Widerspruchsfreiheit On completeness and consistency
G�del 1932c: Introductory note to 1932c W. V. Quine
Eine Eigenschaft der Realisierungen des Aussagenkalk�ls A property of the realizations of the propositional calculus
G�del 1932d: Review of Skolem 1931
G�del 1932e: (See introductory note under G�del 1931a.)
Review of Carnap 1931
G�del 1932f: (See introductory note under G�del 1931a.)
Review of Heyting 1931
G�del 1932g: (See introductory note under G�del 1931a.)
Review of von Neumann 1931
G�del 1932h: Review of Klein 1931
G�del 1932i: Review of Hoensbroech 1931
G�del 1932j: Review of Klein 1932
G�del 1932k: Introductory note to 1932k, 1934e and 1936b Stephen C. Kleene
Review of Church 1932
G�del 1932l: Review of Kalm�r 1932
G�del 1932m: Review of Huntington 1932
G�del 1932n: Review of Skolem 1932
G�del 1932o: Review of Dingler 1931
G�del 1933: Introductory note to 1933 W. V. Quine
[[�ber die Parryschen Axiome]]
[[On Parry's axioms]]
G�del 1933a: Introductory note to 1933a W. V. Quine
�ber Unabh�ngigkeitsbeweise im Aussagenkalk�l On independence proofs in the propositional calculus
G�del 1933b: Introductory note to 1933b, c, d, g and h Judson Webb
�ber die metrische Einbettbarkeit der Quadrupel des R[3 in Kugelfl�chen On the isometric embeddability of quadruples of points of R[3 in the surface of a sphere
G�del 1933c: (See introductory note under G�del 1933b.)
�ber die Waldsche Axiomatik des Zwichenbegriffes On Wald's axiomization of the notion of betweenness
G�del 1933d: (See introductory note under G�del 1933b.)
Zur Axiomatik der elementargeometrischen Verkn�pfungs-relationen On the axiomatization of the relations of connection in elementary geometry
G�del 1933e: Introductory note to 1933e A. S. Troelstra
Zur institutionistischen Arithmetik und Zahlentheorie On intuitionistic arithmetic and number theory
G�del 1933f: Introductory note to 1933f A. S. Troelstra
Eine Interpretation des institutionistischen Aussagenkalk�ls An interpretation of the intuitionistic propositional calculus
G�del 1933g: (See introductory note under G�del 1933b.)
Bemerkung �ber projektive Abbildungen Remark concerning projective mappings
G�del 1933h: (See introductory note under G�del 1933b.)
Diskussion �ber koordinatenlose Differentialgeometrie Discussion concerning coordinate-free differential geometry
G�del 1933i: (See introductory note under G�del 1932a.)
Zum Enscheidungsproblem des logischen Funktionenkalk�ls On the decision probelm for the functional calculus of logic
G�del 1933j: Review of Kaczmarz 1932
G�del 1933k: Review of Lewis 1932
G�del 1933l: (See introductory note under G�del 1932a.)
Review of Kalm�r 1933
G�del 1933m: Review of Hahn 1932
G�del 1934: Introductory note to 1934 Stephen C. Kleene
On undecidable propositions of formal mathematical systems
G�del 1934a: Review of Skolem 1933
G�del 1934b: Introductory note to 1934b W. V. Quine
Review of Quine 1933
G�del 1934c: Introductory note to 1934c and 1935 Robert L. Vaught
Review of Skolem 1933a
G�del 1934d: Review of Chen 1933
G�del 1934e: (See introductory note under G�del 1932k.)
Review of Church 1933
G�del 1934f: Review of Notcutt 1934
G�del 1935: (See introductory note under G�del 1934c.)
Review of Skolem 1934
G�del 1935a: Introductory note to 1935a W. V. Quine
Review of Huntington 1934
G�del 1935b: Review of Carnap 1934
G�del 1935c: Review of Kalm�r 1934
G�del 1936: Introductory note to 1936 John W. Dawson, Jr.
Diskussionsbemerkung Discussion remark
G�del 1936a: Introductory note to 1936a Rohit Parikh
�ber die L�nge von Beweisen On the length of proofs
G�del 1936b: (See introductory note under G�del 1932k.)
Review of Church 1935
Textual notes
References
Index

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