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New scientist

John W Dawson

Logical dilemmas

Kurt Gödel was rather reclusive, keeping himself to himself, especially afte the deaths of von Neumann and Einstein. This presents a problem for a biographer, as there are few people who know much about Gödel's life. What Gödel did leave was massive amounts of paperwork - he seemed to hoard every ticket and reciept he ever had. John W. Dawson has sifted through these and Logical dilemmas : the life and work of Kurt Gödel is the result. Dawson tells of Gödel's early years, and his life as a student in Vienna, leading up to his famous incompleteness theorem of 1931.

The book continues with Gödel's growing fame in the 1930's. Gödel often visited the IAS, and in 1940, when the situation in Vienna became intolerable, he moved to the USA for good. Gödel was something of a hypochondriac, and as he got older he tended towards paranoia, although his intellectual abilities were as strong as ever. His friendship with Einstein led to his discovery of a rotating solution to Einstein's equations, which allowed closed timelike curves. Gödel also devoted a lot of work to Cantor's continuum problem.

Dawson is careful in detailing the source of his information and one might expect that a book like this would be difficult to read, but actually I was impressed by the way the information has been put together into a coherent whole. If you want to find out about the details of Gödel's life, then you'll find plenty of interest in this book.

Amazon.com info
Paperback 376 pages  
ISBN: 1568812566
Salesrank: 148029
Weight:1.2 lbs
Published: 2005 A K Peters, Ltd.
Amazon price $35.10
Marketplace:New from $29.84:Used from $15.25
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Amazon.co.uk info
Paperback 376 pages  
ISBN: 1568812566
Salesrank: 91381
Weight:1.2 lbs
Published: 2005 A K Peters
Amazon price £28.03
Marketplace:New from £25.08:Used from £24.70
Buy from Amazon.co.uk
Amazon.ca info
Paperback 376 pages  
ISBN: 1568812566
Salesrank: 518060
Weight:1.2 lbs
Published: 2005 A K Peters Ltd.
Amazon price CDN$ 40.52
Marketplace:New from CDN$ 40.24:Used from CDN$ 39.95
Buy from Amazon.ca






Product Description
This authoritative biography of Kurt Gödel relates the life of this most important logician of our time to the development of the field. Gödel’s seminal achievements that changed the perception and foundations of mathematics are explained in the context of his life from turn of the century Austria to the Institute for Advanced Study in Princeton.
 
Good Biography, a bit heavy on the math *****
This book has a kind of interesting way of doing a biography. The subject, Godel, is one of the pre-eminent mathematicians of the twentieth century. This biography, written by a mathematician spends a good bit of time on the math that Godel was doing as well as the story of his life.

Chapter III, for instance is a capsule history of the development of logic to 1928. This is to give background to the mathematical world as it existed when Godel was starting his work. In particular it discusses the open problems in mathematics that David Hilbert proposed in 1900. Godel resolved the second of these problems.

Coupled with his genius in mathematics, Godel also had serious psychological problems. He eventually died of starvation because he was convinced that the food he was getting had been poisoned and refused to eat. Dr. Dawson has written a compasionate and understanding biography, even if the mathematics gets just a bit deep once in a while.
 
Excellent. *****
An excellent biography of Godel. Examines his personal life and mathematical work in an integrated manner. Dawson is thorough, well-researched, and shows a command of the mathematics involved. He provides the most accurate picture available of the real Godel- in contrast to the anecdotal, 'crazy-genius' stories you see elsewhere. This is not a popular account of Godel's work, so the reader will need an understanding of fundamental mathematical logic and Godel's theorem to appreciate much of the book. But Dawson does provide a lot of history of mathematical logic, including a great chapter on developments up to 1928 that could stand by itself. The appendix provides a chronology, genealogy, and "biographical vignettes" of other important logicians.
 
The definitive biography of Kurt Godel *****
Knowing what went on in the mind of Kurt Godel will forever be unattainable. Nonetheless, John Dawson comes as close as possible to understanding what made Godel click.

Having catalogued Godel's works and personal papers, Dawson saw aspects of Godel's life that perhaps no one short of his wife had seen.

The book is a fascinating jaunt through the through the lives of one of the greatest minds of the 20th century. What is also interesting is Godel's interaction with personalities such as Einstein and Van Neumann.

While the mathematics is often abstract, as can be expected, Logical Dilemmas is a mesmerizing read.

 
By a Mathematician for Mathematicians ****
Writing a biography of anyone is difficult. How can a writer, no matter how talented, really claim to understand someone well enough to give an overview of his life? When the subject is a genius like Kurt Godel, whose name is known by few and whose work is really understood by even less, the job must be even more difficult. Fortunately, people like Mr. Dawson are will to give it a shot and he succeeds fairly well.

In putting together this biography, Mr. Dawson has the advantage of being mathematician. Additionally, he has the advantage of being the mathematician who catalogued Godel's papers after his death. This gives him a lot of insight into Godel that other writers cannot have and he weaves quotations from these papers into the biography very well. Mr. Dawson's is a well-documented and logical biography that is short on conjecture and long on footnotes. In brief, it is a biography about a mathematician clearly written by a mathematician. This is both its strength and its weakness.

Actually, I like the purely biographical sections of this book very much. The biographical information is clear and informative, though a bit dry in the academic style favored by mathematicians and scientists. Fortunately, having lived and worked among these people, I am comfortable with this style. More importantly, I feel like I have a better idea now of who Godel was and what he was like from reading this book. His focus on his work, his relationship with his family and friends (particularly his wife) and his ultimate decent into mental illness are much more in focus for me now.

On the other hand, the sections that deal with Godel's mathematics are much more difficult to take. The discussion of mathematics in this book goes far beyond what most people are going to be able to handle. I fear the average reader even with a decent math background who comes across this book will drop it as soon as the mathematics starts and that is unfortunate. (I am always looking for books to promote math even among non-mathematicians. This one does not do it.) A reader who can handle the math, however, will find this book revealing.


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