Welcome to our book review site go-pdf.online!
You may have to Search all our reviewed books and magazines, click the sign up button below to create a free account.
Gödel's Theorem
"Among the many expositions of Gödel's incompleteness theorems written for non-specialists, this book stands apart. With exceptional clarity, Franzén 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 Gödel
Inexhaustibility
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the sixteenth publication in the Lecture Notes in Logic series, gives a sustained presentation of a particular view of the topic of Gödelian extensions of theories. It presents the basic material in predicate logic, set theory and recursion theory, leading to a proof of Gödel's incompleteness theorems. The inexhaustibility of mathematics is treated based on the concept of transfinite progressions of theories as conceived by Turing and Feferman. All concepts and results are introduced as needed, making the presentation self-contained and thorough. Philosophers, mathematicians and others will find the book helpful in acquiring a basic grasp of the philosophical and logical results and issues.
The Epistemic Lightness of Truth
This volume explores the deflationary claim of the innocence of truth, taking into account recent results on axiomatic truth theories.
An Introduction to Gödel's Theorems
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.
Axiomatic Theory of Economics
This book is about economic theory. It is not, however, a simplified version of mainstream economics; mainstream economics is simpleminded enough already. It is certainly not in the "how to be a salesman" genre, nor does it propose to tell the reader how to make money in the framework of current financial institutions. It is an abstract treatise. The purpose of this book is to give an axiomatic foundation for the theory of economics.
There's Something About Gödel
Berto's highly readable and lucid guide introduces students and the interested reader to Gödel's celebrated Incompleteness Theorem, and discusses some of the most famous - and infamous - claims arising from Gödel's arguments. Offers a clear understanding of this difficult subject by presenting each of the key steps of the Theorem in separate chapters Discusses interpretations of the Theorem made by celebrated contemporary thinkers Sheds light on the wider extra-mathematical and philosophical implications of Gödel's theories Written in an accessible, non-technical style
Logical Approaches to Computational Barriers
This book constitutes the refereed proceedings of the Second International Conference on Computability in Europe, CiE 2006, held in Swansea, UK, June/July 2006. The book presents 31 revised full papers together with 30 invited papers, including papers corresponding to 8 plenary talks and 6 special sessions on proofs and computation, computable analysis, challenges in complexity, foundations of programming, mathematical models of computers and hypercomputers, and Gödel centenary: Gödel's legacy for computability.
Einstein's Genius Club
As World War II wound down and it became increasingly clear that the Allies would emerge victorious, Albert Einstein invited three close friends—all titans of contemporary science and philosophy—to his home at 112 Mercer Street in Princeton, New Jersey, to discuss what they loved best—science and philosophy. His guests were the legendary philosopher and pacifist, Bertrand Russell; the boy wonder of quantum physics, Wolfgang Pauli; and the brilliant logician, Kurt Gödel. Their casual meetings took place far from the horrific battlefields of the war and the (then) secret lair of experimental atomic physicists in Los Alamos, New Mexico. Using these historic meetings as his launching pad, Feldman sketches the lives and contributions of the four friends, colleagues, and rivals—especially Einstein, innately self-confident but frustrated in his attempt to come up with a unified theory, and the aristocratic but self-doubting Lord Russell. Masterfully researched, this book accessibly illuminates the feelings of these notable men about the world of science that was then beginning to pass them by, and about the dawning atomic age that terrified them all.
An Introduction to Gödel's Theorems
A clear and accessible treatment of Gödel's famous, intriguing, but much misunderstood incompleteness theorems, extensively revised in a second edition.
Dilemmas
This book shows that the conflicts that arise from everyday ways of thinking are not dilemmas as they appear to be.
