Godel's Theorem Simplified
Title | Godel's Theorem Simplified PDF eBook |
Author | Harry J. Gensler |
Publisher | |
Total Pages | 94 |
Release | 1984 |
Genre | Mathematics |
ISBN |
This helpful volume explains and proves Godel's theorem, which states that arithmetic cannot be reduced to any axiomatic system. Written simply and directly, this book is intended for the student and general reader and presumes no specialized knowledge of mathematics or logic.
Incompleteness
Title | Incompleteness PDF eBook |
Author | Rebecca Goldstein |
Publisher | W. W. Norton & Company |
Total Pages | 299 |
Release | 2006-01-31 |
Genre | Biography & Autobiography |
ISBN | 0393327604 |
"An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.
Godel's Proof
Title | Godel's Proof PDF eBook |
Author | Ernest Nagel |
Publisher | Routledge |
Total Pages | 109 |
Release | 2012-11-12 |
Genre | Philosophy |
ISBN | 1134953992 |
The first book to present a readable explanation of Godel's theorem to both scholars and non-specialists, this is a gripping combination of science and accessibility, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity.
An Introduction to Gödel's Theorems
Title | An Introduction to Gödel's Theorems PDF eBook |
Author | Peter Smith |
Publisher | Cambridge University Press |
Total Pages | 376 |
Release | 2007-07-26 |
Genre | Mathematics |
ISBN | 0521857848 |
Peter Smith examines Gödel's Theorems, how they were established and why they matter.
Godel's Incompleteness Theorems
Title | Godel's Incompleteness Theorems PDF eBook |
Author | Raymond M. Smullyan |
Publisher | Oxford University Press |
Total Pages | 156 |
Release | 1992-08-20 |
Genre | Mathematics |
ISBN | 0195364376 |
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.
On Formally Undecidable Propositions of Principia Mathematica and Related Systems
Title | On Formally Undecidable Propositions of Principia Mathematica and Related Systems PDF eBook |
Author | Kurt Gödel |
Publisher | Courier Corporation |
Total Pages | 82 |
Release | 2012-05-24 |
Genre | Mathematics |
ISBN | 0486158403 |
First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction by R. B. Braithwaite.
Gödel's Theorem
Title | Gödel's Theorem PDF eBook |
Author | Torkel Franzén |
Publisher | |
Total Pages | |
Release | 2017-08-09 |
Genre | |
ISBN | 9781138427266 |
"Among the many expositions of G�del's incompleteness theorems written for non-specialists, this book stands apart. With exceptional clarity, Franz�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 G�del