Gödel's Theorem: An Incomplete Guide to Its Use and Abuse

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CRC Press, 6 giu 2005 - 182 pagine
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"Among the many expositions of Gödel's incompleteness theorems written for non-specialists, this book stands apart. With exceptional clarity, Franzén gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of Logical Dilemmas: The Life and Work of Kurt Gödel
 

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Sommario

An Overview
9
Computability Formal Systems and Incompleteness
59
Incompleteness Everywhere
77
Skepticism and Confidence
97
Gödel Minds and Computers
115
Gödels Completeness Theorem
127
Incompleteness Complexity and Infinity
137
A Appendix
155
References
165
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