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Godels Theorem An Incomplete Guide to Its Use and Abuse~tqw~ darksiderg

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Name:Godels Theorem An Incomplete Guide to Its Use and Abuse~tqw~ darksiderg

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Godel's Theorem: An Incomplete Guide to Its Use and Abuse
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General Information
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Type.................: Ebook
Part Size............: 28,546,702 bytes




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Post Information
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Posted by............: ~tqw~

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Release Notes
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The theorem is tossed about and misapplied by the uninformed, so the author
gathered up quotes and responses he's been involved with on the internet and
tackled a presentation for what he terms a "general audience." Mathematicians
will turn to more sophisticated treatments; determined non-mathematicians with a
strong bent for formal logic will be able to make their way through this
explication. The author is a philosopher by training but has worked for a couple
decades in computer science at the Swedish Institute of Computer Science and is
affiliated with Lulea U. of Technology, Sweden.

Table of Contents

1 Introduction 1
2 The incompleteness theorem : an overview 9
3 Computability, formal systems, and incompleteness 59
4 Incompleteness everywhere 77
5 Skepticism and confidence 97
6 Godel, minds, and computers 115
7 Godel's completeness theorem 127
8 Incompleteness, complexity, and infinity 137
App. 1 The language of elementary arithmetic 155
App. 2 The first incompleteness theorem 157
App. 3 Goldbach-like statements 160

Product Details

* ISBN: 1568812388
* ISBN-13: 9781568812380
* Format: Hardcover, 182pp
* Publisher: AK Peters, Ltd.
* Pub. Date: August 2005

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