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Godel's Proof


Home > Mathematics Books > Kurt Godel > Item 4


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Click here to buy Godel's Proof by  Ernest Nagel, James R. Newman, and Douglas R. Hofstadter. Godel's Proof
by Ernest Nagel, James R. Newman, and Douglas R. Hofstadter
Sales Rank: 124504
4.5 out of 5 stars
List Price: $19.95
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on 10-14-2008
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  • Hardcover: 125 pages
  • Publisher: NYU Press; Revised edition October 1, 2001
  • Language: English
  • ISBN-10: 0814758169
  • ISBN-13: 978-0814758168
  • Product Dimensions: 8 x 5 x 0.7 inches
  • Shipping Weight: 9.6 ounces

    Product Review
    Gödel's incompleteness theorem--which showed that any robust mathematical system contains statements that are true yet unprovable within the system--is an anomaly in 20th-century mathematics. Its conclusions are as strange as they are profound, but, unlike other recent theorems of comparable importance, grasping the main steps of the proof requires little more than high school algebra and a bit of patience. Ernest Nagel and James Newman's original text was one of the first (and best) to bring Gödel's ideas to a mass audience. With brevity and clarity, the volume described the historical context that made Gödel's theorem so paradigm-shattering. Where the first edition fell down, however, was in the guts of the proof itself; the brevity that served so well in defining the problem made their rendering of Gödel's solution so dense as to be nearly indigestible.

    This reissuance of Nagel and Newman's classic has been vastly improved by the deft editing of Douglas Hofstadter, a protégé of Nagel's and himself a popularizer of Gödel's work. In the second edition, Hofstadter reworks significant sections of the book, clarifying and correcting here, adding necessary detail there. In the few instances in which his writing diverges from the spirit of the original, it is to emphasize the interplay between formal mathematical deduction and meta-mathematical reasoning--a subject explored in greater depth in Hofstadter's other delightful writings. --Clark Williams-Derry

    Product Review
    'Nagel and Newman accomplish the wondrous task of clarifying the argumentative outline of Kurt Godel's celebrated logic bomb.' – The Guardian --This text refers to an out of print or unavailable edition of this title.

  • Godel's Proof
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