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Gödel's Theorem had a profound impact in the 1930's and has been recently used to argue that artificial intelligence is out of reach for computers (see Penrose's "The shadows of the mind").
You might also enjoy reading "Gödel, Escher, Bach..." (the best-selling book from D.R. Hofstadter) for a readable introduction to formal systems and the incompleteness problem.
To conclude: approach this little sucker with caution. It seems overpriced to me, and the mistakes I've noticed only make me worry about the ones that I haven't.
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