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Metamathematics, Machines and Gödel's Proof

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Release : 1997-01-30
Genre : Computers
Kind : eBook
Book Rating : 330/5 ( reviews)

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Book Synopsis Metamathematics, Machines and Gödel's Proof by : N. Shankar

Download or read book Metamathematics, Machines and Gödel's Proof written by N. Shankar. This book was released on 1997-01-30. Available in PDF, EPUB and Kindle. Book excerpt: Describes the use of computer programs to check several proofs in the foundations of mathematics.

Topology via Logic

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Release : 1996-08-22
Genre : Computers
Kind : eBook
Book Rating : 512/5 ( reviews)

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Book Synopsis Topology via Logic by : Steven Vickers

Download or read book Topology via Logic written by Steven Vickers. This book was released on 1996-08-22. Available in PDF, EPUB and Kindle. Book excerpt: This advanced textbook on topology has three unusual features. First, the introduction is from the locale viewpoint, motivated by the logic of finite observations: this provides a more direct approach than the traditional one based on abstracting properties of open sets in the real line. Second, the author freely exploits the methods of locale theory. Third, there is substantial discussion of some computer science applications. As computer scientists become more aware of the mathematical foundations of their discipline, it is appropriate that such topics are presented in a form of direct relevance and applicability. This book goes some way towards bridging the gap for computer scientists.

Godel's Proof

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Release : 2018-09-10
Genre : Mathematics
Kind : eBook
Book Rating : 261/5 ( reviews)

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Book Synopsis Godel's Proof by : Ernest Nagel

Download or read book Godel's Proof written by Ernest Nagel. This book was released on 2018-09-10. Available in PDF, EPUB and Kindle. Book excerpt: In 1931 Kurt Gödel published his paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." Gödel's paper challenged certain basic assumptions underlying much research in mathematics and logic. However, few scholars were unable to understand Gödel's ideas. Ernest Nagel and James Newman provide a readable and accessible explanation of the main ideas and broad implications of Gödel's discovery.

Gödel's Proof

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Author :
Release : 1971
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Gödel's Proof by : Ernest Nagel

Download or read book Gödel's Proof written by Ernest Nagel. This book was released on 1971. Available in PDF, EPUB and Kindle. Book excerpt:

The Unknowable

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Release : 1999-07-01
Genre : Mathematics
Kind : eBook
Book Rating : 722/5 ( reviews)

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Book Synopsis The Unknowable by : Gregory J. Chaitin

Download or read book The Unknowable written by Gregory J. Chaitin. This book was released on 1999-07-01. Available in PDF, EPUB and Kindle. Book excerpt: This essential companion to Chaitins highly successful The Limits of Mathematics, gives a brilliant historical survey of important work on the foundations of mathematics. The Unknowable is a very readable introduction to Chaitins ideas, and includes software (on the authors website) that will enable users to interact with the authors proofs. "Chaitins new book, The Unknowable, is a welcome addition to his oeuvre. In it he manages to bring his amazingly seminal insights to the attention of a much larger audience His work has deserved such treatment for a long time." JOHN ALLEN PAULOS, AUTHOR OF ONCE UPON A NUMBER

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