Kurt Godel and his famous Incompleteness Theorems
Discover the best books on Kurt Gödel and his famous Incompleteness Theorems, from Douglas Hofstadter's classic *Gödel, Escher, Bach* to Ernest Nagel's essential *Gödel's Proof*—perfect for exploring the limits of mathematics and logic.
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Gdel's Proof
by Ernest Nagel
Godel was at last recognized by his peers and presented with the first Albert Einstein Award in 1951 for achievement in the natural sciences - the highest honor of its kind in the United States. The award committee, which included Albert Einstein and J. Robert Oppenheimer, described his work as "one of the greatest contributions to the sciences in recent times."".
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Godel, Escher, Bach
by Douglas R. Hofstadter
Winner of the Pulitzer Prize A metaphorical fugue on minds and machines in the spirit of Lewis Carroll Douglas Hofstadter's book is concerned directly with the nature of "maps" or links between formal systems. However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.
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On formally undecidable propositions of Principia mathematica and related systems
No summary available.
