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Title: On Formally Undecidable Propositions of Principia Mathematica and Related Systems by Kurt Gödel ISBN: 0-486-66980-7 Publisher: Dover Pubns Pub. Date: 01 April, 1992 Format: Paperback Volumes: 1 List Price(USD): $6.95 |
Average Customer Rating: 5 (8 reviews)
Rating: 5
Summary: From the horse's mouth, 'le text'
Comment: Speaking not as a math specialist but one disposed to read a number of the popular explications of Godel's famous proof I can say that it was Godel's original text that did it for me. The reason is that it is the proof and not a lot of verbiage about the proof. And it is short and sweet. One problem is that the more common Turing Machine approach is actually 'easier', where Godel's approach is that of recursive functions which are more obscure, or at least less often discussed. If you can sort of glare at the recursive function issue and proceed with the basics of the proof it will stand out suddenly better than many of the popularizations. At least give it a try.
Rating: 5
Summary: A Breeze
Comment: I enjoyed this book very much. The only problem I had with it was that the material discussed was simply too elementary. I recommend it if you are just beginning study of the philosophy of mathematics. Skip the introductary essay, it's irrelevant...
Rating: 5
Summary: Fascinating but not good for the recreational reader
Comment: I read this over my winter break (2001) from my second year of medical school at UCSF. This is a fun book to try to grasp, but unless you are extremely mathematically gifted (like me) or have spent years plodding away studying philosophy or math, then stay away from this book. If you are a casual reader and want to read great and important philosophy then stick with Heidigger and Kierkegard and such. Being and Time is a lot more fun if you just want some easy reading. Godel is hard stuff and only accessible to a select few. I loved it.
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Title: Godel's Proof by Ernest Nagel, James Roy Newman, Douglas R. Hofstadter ISBN: 0814758169 Publisher: New York University Press Pub. Date: February, 2002 List Price(USD): $18.95 |
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Title: The Principles of Mathematics by Bertrand Arthur Russell ISBN: 0393314049 Publisher: W.W. Norton & Company Pub. Date: February, 1996 List Price(USD): $17.95 |
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Title: Computability and Unsolvability by Martin Davis ISBN: 0486614719 Publisher: Dover Pubns Pub. Date: 01 December, 1985 List Price(USD): $14.95 |
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Title: First-Order Logic by Raymond M. Smullyan ISBN: 0486683702 Publisher: Dover Pubns Pub. Date: 30 January, 1995 List Price(USD): $9.95 |
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Title: Gödel, Escher, Bach: An Eternal Golden Braid by Douglas R. Hofstadter ISBN: 0465026567 Publisher: HarperCollins Pub. Date: January, 1999 List Price(USD): $21.00 |
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