Kurt Gödel: Collected Works: Volume III: Unpublished Essays and Lectures

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Kurt Gödel (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to Gödel's publications in full (both in original and translation), and the third volume featured a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass. These long-awaited final two volumes contain Gödel'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 Gödel'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 Gabelsberger shorthand), and a complete bibliography of all works cited. Kurt Gödel: 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 Gödel'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.
 

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Contents

Godels Gabelsberger shorthand by Cheryl A Dawson
7
Introductory note to 1930c by Warren Goldfarb
13
Introductory note to 1931? by Stephen C Kleene
30
Introductory note to 1933o by Solomon Feferman
36
The present situation in the foundations of mathematics
45
Introductory note to 1933f by Israel Halperin
54
Introductory note to 1938a by Wilfried Sieg
62
Vortrag bei Zilsel
86
Lecture on rotating universes
269
Introductory note to 1951 by George Boolos
290
Some basic theorems on the foundations of mathematics
304
Introductory note to 19539 by Warren Goldfarb
324
Is mathematics syntax of language?
334
Introductory note to 1961? by Dagfinn F0llesdal
364
The modern development of the foundations of mathematics
374
Introductory note to 1970 by Robert M Adams
388

Introductory note to 1939b and 1940a
114
Introductory note to 193? by Martin Davis
156
See introductory note under Godel 1939b
175
Introductory note to 1941 by A S Troelstra
186
Introductory note to 19469 by Howard Stein
202
Some observations about the relationship between
230
Introductory note to 1949b by David B Malament
261
Introductory note to 1970a 1970b and 1970c
405
Some considerations leading to the probable conclusion
420
Excerpt from 19469A
426
Textual notes
439
References
479
Addenda and corrigenda to Volumes I and II
517
Copyright

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About the author (1986)

S. Feferman is at Stanford University. John W. Dawson is at Pennsylvania State University. Warren Goldfarb and Charles Parsons are both at Harvard University. R. Solovay is Professor Emeritus at University of California, Berkeley.