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Collected works
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Résumé

"I was initially inspired for this review when I happened to pick up Volume 2 of Kurt Godel's Collected Works: anyone with a serious interest in the intellectual history of the 20th century should do the same. Godel's famous proof of the incompleteness of arithmetic is arguably the most famous theorem of our century . . . . These volumes are intended for the mainstream and they succeed admirably; Solomon Feferman and his distinguished board of editors have produced a collected works that is a model for all such endeavors. The collection is beautifully designed; I congratulate Oxford University Press on the high quality with which every detail is executed. Papers originally written in German are translated on facing pages, and it really is "complete" . . . . The introductory material is profuse and worth the price on its own . . . . Godel was a meticulous writer, and with some excellent editorial handling, the proof is a pleasure to read." --A.I. Expert
  • "The volumes are meticulously edited and are a pleasure to consult. Original page numbers are clearly shown; papers written in German are printed with facing translations; there is a comprehensive bibliography ...and there are good indexes; and there are some revealing photographs." --Bulletin of the London Mathematical Society
  • "The publication of this book is a significant scientific event ....a splendid text ....excellent English translation. The introductory notes add much to the reader's understanding of the primary material, and the list of editors and contributors reads like a Who's Who of modern Logic." --Theory of Computation

Contents

  • 1 Robert M. Solovay: 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 Charles Parsons: Introductory Note to 1946
  • 6 Remarks Before the Princeton Bicentennial Conference on Problems in Mathematics
  • 7 Gregory H. Moore: Introductory Note to 1947 and 1964
  • 8 What is Cantor's Continuum Problem?
  • 9 S.W. Hawking: 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 A.S. Troelstra: 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 Jens E. Fenstad: Introductory Note to 1974
  • 20 Remark on Non-Standard Analysis

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 408
Format 15,3 x 23,4
Couverture Broché
Poids 605g
Intérieur Noir et Blanc
EAN13 9780195147216

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