Collected Works

양장본 Hardcover

Feferman, 저자(글)

Oxford University Press · 1989년 11월 30일

책 소개

The Editor-in-Chief Solomon Feferman is Professor of Mathematics and Philosophy, and Chairman of the Department of Mathematics at Stanford University. He is past president of the Association of Symbolic Logic. The Editors John W. Dawson, Jr., is Professor of Mathematics at Pennsylvania State University, York. Steven C. Kleene is Emeritus Dean of Letters and Science, and Emeritus Professor of Mathematics and Computer Science at the University of Wisconsin, Madison. Gregory H. Moore is Associate Professor of Mathematics at McMaster University, Hamilton, Ontario, Canada. Robert M. Solovay is Professor of Mathematics at the University of California, Berkeley. The late Jean van Heijenoort was Emeritus Professor of Philosophy at Brandeis University until his death in 1986.
Kurt G?el (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 knownfor 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to G?el's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in G?el's Nachlass. These long-awaited final two volumes contain G?el's correspondence of logical, philosophical, and scientific interest. Volume IV covers A to G, withH to Z in volume V; in addition, Volume V contains a full inventory of G?el's Nachlass. L 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 Gabelsbergershorthand), and a complete bibliography of all works cited.Kurt G?el: 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 G?el'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.
Kurt G"odel was the most outstanding logician of the twentieth century, famous for his work 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 computation theory, as well as for the strong individuality of his writings on the philosophy of mathematics. Less well-known is his discovery of unusual cosmological models for Einstein's equations, permitting "time-travel" into the past. This second volume of a comprehensive edition of G"odel's works collects together all his publications from 1938 to 1974. Together with Volume I (Publications 1929-1936), it makes available for the first time in a single source all of his previously published work. Continuing the format established in the earlier volume, the present text includes introductory notes that provide extensive explanatory and historical commentary on each of the papers, a facing English translation of the one German original, and a complete bibliography. Succeeding volumes are to contain unpublished manuscripts, lectures, correspondence, and extracts from the notebooks. Collected Works is designed to be accessible and useful to as wide an audience as possible without sacrificing scientific or historical accuracy. The only complete edition available in English, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science. These volumes will also interest scientists and all others who wish to be acquainted with one of the great minds of the twentieth century.
Kurt G del was the most outstanding logician of the twentieth century, famous for his work 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 computation theory, as well as for the strong individuality of his writings on the philosophy of mathematics. Less well-known is his discovery of unusual cosmological models for Einstein's equations, permitting "time-travel" into the past. This second volume of a comprehensive edition of G del's works collects together all his publications from 1938 to 1974. Together with Volume I (Publications 1929-1936), it makes available for the first time in a single source all of his previously published work. Continuing the format established in the earlier volume, the present text includes introductory notes that provide extensive explanatory and historical commentary on each of the papers, a facing English translation of the one German original, and a complete bibliography. Succeeding volumes are to contain unpublished manuscripts, lectures, correspondence, and extracts from the notebooks. Collected Worksis designed to be accessible and useful to as wide an audience as possible without sacrificing scientific or historical accuracy. The only complete edition available in English, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science. These volumes will also interest scientists and all others who wish to be acquainted with one of the great minds of the twentieth century.
Kurt G?el was the most outstanding logician of the twentieth century, famous for his work 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 computation theory, as well as for the strong individuality of his writings on the philosophy of mathematics. Less well-known is his discovery of unusual cosmological models for Einstein's equations, permitting "time-travel" into the past. This second volume of a comprehensive edition of G?el's works collects together all his publications from 1938 to 1974. Together with Volume I ( Publications 1929-1936 ), it makes available for the first time in a single source all of his previously published work. Continuing the format established in the earlier volume, the present text includes introductory notes that provide extensive explanatory and historical commentary on each of the papers, a facing English translation of the one German original, and a complete bibliography. Succeeding volumes are to contain unpublished manuscripts, lectures, correspondence, and extracts from the notebooks. Collected Works is designed to be accessible and useful to as wide an audience as possible without sacrificing scientific or historical accuracy. The only complete edition available in English, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science. These volumes will also interest scientists and all others who wish to be acquainted with one of the great minds of the twentieth century.
Kurt G?el was the most outstanding logician of the twentieth century, famous for his work 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 computation theory, as well as for the strong individuality of his writings on the philosophy of mathematics. Less well-known is his discovery of unusual cosmological models for Einstein's equations, permitting "time-travel" into the past. This second volume of a comprehensive edition of G?el's works collects together all his publications from 1938 to 1974. Together with Volume I (Publications 1929-1936), it makes available for the first time in a single source all of his previously published work. Continuing the format established in the earlier volume, the present text includes introductory notes that provide extensive explanatory and historical commentary on each of the papers, a facing English translation of the one German original, and a complete bibliography. Succeeding volumes are to contain unpublished manuscripts, lectures, correspondence, and extracts from the notebooks. Collected Worksis designed to be accessible and useful to as wide an audience as possible without sacrificing scientific or historical accuracy. The only complete edition available in English, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science. These volumes will also interest scientists and all others who wish to be acquainted with one of the great minds of the twentieth century.
Kurt Godel was the most outstanding logician of the twentieth century, famous for his work 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 decisionproblem, and the foundations of computation theory, as well as for the strong individuality of his writings on the philosophy of mathematics. Less well-known is his discovery of unusual cosmological models for Einstein's equations, permitting "time-travel" into the past. This second volume of a comprehensive edition of Godel's works collects together all his publications from 1938 to 1974. Together with Volume I (Publications 1929-1936), it makes available for the first time in a single source all of his previously published work. Continuing the formatestablished in the earlier volume, the present text includes introductory notes that provide extensive explanatory and historical commentary on each of the papers, a facing English translation of the one German original, and a complete bibliography. Succeeding volumes are to contain unpublishedmanuscripts, lectures, correspondence, and extracts from the notebooks. Collected Works is designed to be accessible and useful to as wide an audience as possible without sacrificing scientific or historical accuracy. The only complete edition available in English, it will be an essential part of the working library of professionals and students in logic,mathematics, philosophy, history of science, and computer science. These volumes will also interest scientists and all others who wish to be acquainted with one of the great minds of the twentieth century.
"A comprehensive edition of the 20th-century logician's work, in facing pages of German and English. Volume two covers published writings in the period 1938-1974, including newly typeset versions of papers on his continuum hypothesis, Russell's mathematical logic, Cantor's continuum problem,the relationship between relativity and idealistic philosophy, and rotating universes in general relativity theory. Each selection or group of selections is introduced, and extensive notes and references are included."--SciTech Book News
"A comprehensive edition of the 20th-century logician's work, in facingpages of German and English. Volume two covers published writings in the period1938-1974, including newly typeset versions of papers on his continuumhypothesis, Russell's mathematical logic, Cantor's continuum problem, therelationship between relativity and idealistic philosophy, and rotatinguniverses in general relativity theory. Each selection or group of selections isintroduced, and extensive notes and references are included."--SciTech BookNews
"A comprehensive edition of the 20th-century logician's work, in facing pages of German and English. Volume two covers published writings in the period 1938-1974, including newly typeset versions of papers on his continuum hypothesis, Russell's mathematical logic, Cantor's continuum problem,the relationship between relativity and idealistic philosophy, and rotating universes in general relativity theory. Each selection or group of selections is introduced, and extensive notes and references are included."--SciTech Book News
"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 mostfamous 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 congratulateOxford 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, andwith some excellent editorial handling, the proof is a pleasure to read." --A.I. Expert
"I was initially inspired for this review when I happened to pick upVolume 2 of Kurt Godel's Collected Works: anyone with a serious interest in theintellectual history of the 20th century should do the same. Godel's famousproof of the incompleteness of arithmetic is arguably the most famous theorem ofour century . . . . These volumes are intended for the mainstream and theysucceed admirably; Solomon Feferman and his distinguished board of editors haveproduced a collected works that is a model for all such endeavors. Thecollection is beautifully designed; I congratulate Oxford University Press onthe high quality with which every detail is executed. Papers originally writtenin 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, theproof is a pleasure to read." --A.I. Expert
"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
"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 "A comprehensive edition of the 20th-century logician's work, in facing pages of German and English. Volume two covers published writings in the period 1938-1974, including newly typeset versions of papers on his continuum hypothesis, Russell's mathematical logic, Cantor's continuum problem, the relationship between relativity and idealistic philosophy, and rotating universes in general relativity theory. Each selection or group of selections is introduced, and extensive notes and references are included."--SciTech Book News
"I was initially inspired for this review when I happened to pick up Volume 2 ofKurt 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 ofthe 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 ofComputation "A comprehensive edition of the 20th-century logician's work, in facing pages of German and English. Volume two covers published writings in the period 1938-1974, including newly typeset versions of papers on his continuum hypothesis, Russell's mathematical logic, Cantor's continuum problem, the relationship between relativity and idealistic philosophy, and rotating universes in general relativity theory. Each selection or group of selections is introduced, and extensive notes and references are included."--SciTech Book News
"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
"The publication of this book is a significant scientific event ....asplendid text ....excellent English translation. The introductory notes addmuch to the reader's understanding of the primary material, and the list ofeditors and contributors reads like a Who's Who of modern Logic." --Theory ofComputation
"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
"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 volumes are meticulously edited and are a pleasure to consult.Original page numbers are clearly shown; papers written in German are printedwith facing translations; there is a comprehensive bibliography ...and there aregood indexes; and there are some revealing photographs." --Bulletin of theLondon Mathematical Society
"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
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 Philosphy 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
Kurt G?el (1906-1978) was the most outstanding logician of the twentieth century. This second volume of a comprehensive edition of G?el's works collects the remainder of his published work, covering the period 1938-1974. (Volume I included all of his publications from 1929-1936). Each article or closely related group of articles is preceded by an introductory note that elucidates it and places it in historical context. The aim is to make the full body of G?el's work as accessible and useful to as wide an audience as possible, without in any way sacrificing the requirements of historical and scientific accuracy.
1. Introductory Note to 1938, 1939 and 1940, Robert M. Solovay 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. Introductory Note to 1946, Charles Parsons 6. Remarks Before the Princeton Bicentennial Conference on Problems in Mathematics 7. Introductory Note to 1947 and 1964, Gregory H. Moore 8. What is Cantor's Continuum Problem? 9. Introductory Note to 1949 and 1952, S.W. Hawking 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. Introductory Note to 1958 and 1972, A.S. Troelstra 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. Introductory Note to 1974, Jens E. Fenstad 20. Remark on Non-Standard Analysis
1. Robert M. Solovay: Introductory Note to 1938, 1939 and 19402. The Consistency of the Axiom of Choice and of the Generalized Continuum Hypothesis3. Consistency Proof for the Generalized Continuum Hypothesis4. The Consistency of the Axiom of Choice and of the Generalized Continuum Hypothesis with the Axioms of Set Theory5. Charles Parsons: Introductory Note to 19466. Remarks Before the Princeton Bicentennial Conference on Problems in Mathematics7. Gregory H. Moore: Introductory Note to 1947 and 19648. What is Cantor's Continuum Problem?9. S.W. Hawking: Introductory Note to 1949 and 195210. An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation11. A Remark About the Relationship Between Relativity Theory and Idealistic Philosophy12. Rotating Universes in General Relativity Theory13. A.S. Troelstra: Introductory Note to 1958 and 197214. On a Hiterto Unutilized Extension of the Finitary Standpoint16. What is Cantor's Continuum problem?17. On an Extension of Finitary Mathematics Which has not Yet Been Used18. Some Remarks on the Undecidability Results19. Jens E. Fenstad: Introductory Note to 197420. Remark on Non-Standard Analysis
G?el 1938: Introductory note to 1938, 1939, 1939a, and 1940 by Robert M. Solovay; The consistency of the axiom of choice and of the generalized continuum hypothesis; G?el 1939: the consistency of the generalized continuum hypothesis; G?el 1939a: Consistency proof for the generalized continuum hypothesis; G?el 1940: the consistency of the axiom of choice and of the generalized continuum hypothesis with the axioms of set theory; G?el 1944: Introductory note to 1944 by Charles Parsons; Russell's mathematical logic; G?el 1946: Introductory note to 1946 by Charles Parsons; Remarks before the Princeton bicentennial conference on problems in mathematics; G?el 1947: Introductory note to 1947 and 1964 by Gregory H. Moore; What is Cantor's continuum problem?; G?el 1949: Introductory note to 1949 and 1952 by S.W. Hawking; An example of a new type of cosmological solutions of Einstein's field equations of gravitation; G?el 1949a: Introductory note to 1949a by Howard Stein; A remark about the relationship between relativity theory and idealistic philosophy; G?el 1952: Rotaoting universes in general relativity theory; G?el 1958: Introductory note to 1958 and 1972 by A.S. Troelstra; ?er eine bisher noch nicht ben?zte Erweiterung des finiten Standpunktes; On a hitherto unutilized extension of the finitary standpoint; G?el 1962: postscript to Spector 1962; G?el 1964: What is Cantor's continuum problem? G?el 1972: On an extension of finitary mathematics which has not yet been used; G?el 1972a: Introductory note to 1972a by Solomon Feferman, Robert M. Solovay, and Judson C. Webb; Some remarks on the undecidability results; G?el 1974: Introductory note to 1974 by Jens Erik Fenstad; Remark on non-standard analysis; Textual notes; References.

작가정보

저자(글) Feferman,

목차

• G?el 1938: Introductory note to 1938, 1939, 1939a, and 1940
  The consistency of the axiom of choice and of the generalized continuum hypothesis
  G?el 1939: the consistency of the generalized continuum hypothesis
  G?el 1939a: Consistency proof for the generalized continuum hypothesis
  G?el 1940: the consistency of the axiom of choice and of the generalized continuum hypothesis with the axioms of set theory
  G?el 1944: Introductory note to 1944
  Russell's mathematical logic
  G?el 1946: Introductory note to 1946
  Remarks before the Princeton bicentennial conference on problems in mathematics
  G?el 1947: Introductory note to 1947 and 1964
  What is Cantor's continuum problem?
  G?el 1949: Introductory note to 1949 and 1952
  An example of a new type of cosmological solutions of Einstein's field equations of gravitation
  G?el 1949a: Introductory note to 1949a
  A remark about the relationship between relativity theory and idealistic philosophy
  G?el 1952: Rotaoting universes in general relativity theory
  G?el 1958: Introductory note to 1958 and 1972
  _ber eine bisher noch nicht benntzte Erweiterung des finiten Standpunktes
  On a hitherto unutilized extension of the finitary standpoint
  G?el 1962: postscript to Spector 1962
  G?el 1964: What is Cantor's continuum problem?
  G?el 1972: On an extension of finitary mathematics which has not yet been used
  G?el 1972a: Introductory note to 1972a by Solomon Feferman
  Some remarks on the undecidability results
  G?el 1974: Introductory note to 1974
  Remark on non-standard analysis
  Textual notes
  References
  Table of Contents provided by Publisher. All Rights Reserved.

기본정보

ISBN	9780195039726 ( 0195039726 )
발행(출시)일자	1989년 11월 30일
쪽수	432쪽
크기	162 * 243 * 26 mm / 735 g
총권수	1권
언어	영어