Share

Godel's Incompleteness Theorems

1992-08-20 Mathematics
Download Godel's Incompleteness Theorems PDF Online Free

Author :
Release : 1992-08-20
Genre : Mathematics
Kind : eBook
Book Rating : 376/5 ( reviews)

GET EBOOK


Book Synopsis Godel's Incompleteness Theorems by : Raymond M. Smullyan

Download or read book Godel's Incompleteness Theorems written by Raymond M. Smullyan. This book was released on 1992-08-20. Available in PDF, EPUB and Kindle. Book excerpt: Kurt Godel, the greatest logician of our time, startled the world of mathematics in 1931 with his Theorem of Undecidability, which showed that some statements in mathematics are inherently "undecidable." His work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum theory brought him further worldwide fame. In this introductory volume, Raymond Smullyan, himself a well-known logician, guides the reader through the fascinating world of Godel's incompleteness theorems. The level of presentation is suitable for anyone with a basic acquaintance with mathematical logic. As a clear, concise introduction to a difficult but essential subject, the book will appeal to mathematicians, philosophers, and computer scientists.

Incompleteness

2006-01-31 Biography & Autobiography
Download Incompleteness PDF Online Free

Author :
Release : 2006-01-31
Genre : Biography & Autobiography
Kind : eBook
Book Rating : 604/5 ( reviews)

GET EBOOK


Book Synopsis Incompleteness by : Rebecca Goldstein

Download or read book Incompleteness written by Rebecca Goldstein. This book was released on 2006-01-31. Available in PDF, EPUB and Kindle. Book excerpt: "An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.

An Introduction to Gödel's Theorems

2007-07-26 Mathematics
Download An Introduction to Gödel's Theorems PDF Online Free

Author :
Release : 2007-07-26
Genre : Mathematics
Kind : eBook
Book Rating : 937/5 ( reviews)

GET EBOOK


Book Synopsis An Introduction to Gödel's Theorems by : Peter Smith

Download or read book An Introduction to Gödel's Theorems written by Peter Smith. This book was released on 2007-07-26. Available in PDF, EPUB and Kindle. Book excerpt: In 1931, the young Kurt Gödel published his First Incompleteness Theorem, which tells us that, for any sufficiently rich theory of arithmetic, there are some arithmetical truths the theory cannot prove. This remarkable result is among the most intriguing (and most misunderstood) in logic. Gödel also outlined an equally significant Second Incompleteness Theorem. How are these Theorems established, and why do they matter? Peter Smith answers these questions by presenting an unusual variety of proofs for the First Theorem, showing how to prove the Second Theorem, and exploring a family of related results (including some not easily available elsewhere). The formal explanations are interwoven with discussions of the wider significance of the two Theorems. This book will be accessible to philosophy students with a limited formal background. It is equally suitable for mathematics students taking a first course in mathematical logic.

Gödel's Proof

1989 Gödel's theorem
Download Gödel's Proof PDF Online Free

Author :
Release : 1989
Genre : Gödel's theorem
Kind : eBook
Book Rating : 40X/5 ( reviews)

GET EBOOK


Book Synopsis Gödel's Proof by : Ernest Nagel

Download or read book Gödel's Proof written by Ernest Nagel. This book was released on 1989. Available in PDF, EPUB and Kindle. Book excerpt: In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system and had radical implications that have echoed throughout many fields. A gripping combination of science and accessibility, Godel’s Proofby Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity.

A Friendly Introduction to Mathematical Logic

2015 Education
Download A Friendly Introduction to Mathematical Logic PDF Online Free

Author :
Release : 2015
Genre : Education
Kind : eBook
Book Rating : 075/5 ( reviews)

GET EBOOK


Book Synopsis A Friendly Introduction to Mathematical Logic by : Christopher C. Leary

Download or read book A Friendly Introduction to Mathematical Logic written by Christopher C. Leary. This book was released on 2015. Available in PDF, EPUB and Kindle. Book excerpt: At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.

You may also like...