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Kurt Gödel Collected works
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Résumé

Kurt Gödel (1906-1978) was the most outstanding logician of the twentieth century, noted for Gödel'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 The Collected Works will include both published and unpublished writings, in three or more volumes.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essentially of Gödel's published works (both in the original and translation), and the third volume will feature unpublished articles, lectures, and selections from his lecture courses, correspondence, and scientific notebooks.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.

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 R3 in Kugelflächen On the isometric embeddability of quadruples of points of R3 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

L'auteur - Solomon Feferman

SOLOMON FEFERMAN is on the faculty of Stanford University, where he is professor of mathematics and philosophy. He is a recipient of the RolfSchock Prize in Logic and Philosophy, a Fellow of the American Academy of Arts and Sciences, and has held a Guggenheim fellowship twice. He is the author of In the Light of Logic and the editor-in-chief of the multivolume Kurt Godel: Collected Works. He was one of Tarski's students at UC Berkeley in the 19505.

L'auteur - Stephen C. Kleene

Autres livres de Stephen C. Kleene

Caractéristiques techniques

  PAPIER
Éditeur(s) Oxford University Press
Auteur(s) Solomon Feferman, John W., Jr Dawson, Stephen C. Kleene, Gregory H. Moore, Robert M. Solovay, Jean Van Heijenoort
Parution 15/07/2001
Nb. de pages 474
Format 15,5 x 23,5
Couverture Broché
Poids 695g
Intérieur Noir et Blanc
EAN13 9780195147209

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