Godel's Theorem An Incomplete Guide to Its Use and Abuse~tqw~ darksiderg

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    *******************************************************************************<br /> Godel's Theorem: An Incomplete Guide to Its Use and Abuse<br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 28,546,702 bytes<br /> <br /> <br /> <br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> The theorem is tossed about and misapplied by the uninformed, so the author <br /> gathered up quotes and responses he's been involved with on the internet and <br /> tackled a presentation for what he terms a &quot;general audience.&quot; Mathematicians <br /> will turn to more sophisticated treatments; determined non-mathematicians with a <br /> strong bent for formal logic will be able to make their way through this <br /> explication. The author is a philosopher by training but has worked for a couple <br /> decades in computer science at the Swedish Institute of Computer Science and is <br /> affiliated with Lulea U. of Technology, Sweden.<br /> <br /> Table of Contents<br /> <br /> 1 Introduction 1<br /> 2 The incompleteness theorem : an overview 9<br /> 3 Computability, formal systems, and incompleteness 59<br /> 4 Incompleteness everywhere 77<br /> 5 Skepticism and confidence 97<br /> 6 Godel, minds, and computers 115<br /> 7 Godel's completeness theorem 127<br /> 8 Incompleteness, complexity, and infinity 137<br /> App. 1 The language of elementary arithmetic 155<br /> App. 2 The first incompleteness theorem 157<br /> App. 3 Goldbach-like statements 160<br /> <br /> Product Details<br /> <br /> * ISBN: 1568812388<br /> * ISBN-13: 9781568812380<br /> * Format: Hardcover, 182pp<br /> * Publisher: AK Peters, Ltd.<br /> * Pub. Date: August 2005<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader<br />
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