An Introduction To Godel S Theorems
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An Introduction To G Del S Theorems
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Author : Peter Smith
language : en
Publisher: Cambridge University Press
Release Date : 2007-07-26
An Introduction To G Del S Theorems written by Peter Smith and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-26 with Mathematics categories.
Peter Smith examines Gödel's Theorems, how they were established and why they matter.
An Introduction To G Del S Theorems
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Author : Peter Smith
language : en
Publisher: Cambridge University Press
Release Date : 2013-02-21
An Introduction To G Del S Theorems written by Peter Smith and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-21 with Biography & Autobiography categories.
A clear and accessible treatment of Gödel's famous, intriguing, but much misunderstood incompleteness theorems, extensively revised in a second edition.
An Introduction To Godel S Theorems
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Author : Peter Smith
language : en
Publisher:
Release Date : 2014-05-14
An Introduction To Godel S Theorems written by Peter Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Logic, Symbolic and mathematical categories.
A clear and accessible treatment of Godel's famous, intriguing, but much misunderstood incompleteness theorems, extensively revised in a second edition."
G Del S Theorems And Zermelo S Axioms
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Author : Lorenz Halbeisen
language : en
Publisher: Springer Nature
Release Date : 2020-10-16
G Del S Theorems And Zermelo S Axioms written by Lorenz Halbeisen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-16 with Mathematics categories.
This book provides a concise and self-contained introduction to the foundations of mathematics. The first part covers the fundamental notions of mathematical logic, including logical axioms, formal proofs and the basics of model theory. Building on this, in the second and third part of the book the authors present detailed proofs of Gödel’s classical completeness and incompleteness theorems. In particular, the book includes a full proof of Gödel’s second incompleteness theorem which states that it is impossible to prove the consistency of arithmetic within its axioms. The final part is dedicated to an introduction into modern axiomatic set theory based on the Zermelo’s axioms, containing a presentation of Gödel’s constructible universe of sets. A recurring theme in the whole book consists of standard and non-standard models of several theories, such as Peano arithmetic, Presburger arithmetic and the real numbers. The book addresses undergraduate mathematics students and is suitable for a one or two semester introductory course into logic and set theory. Each chapter concludes with a list of exercises.
Introduction To Godel S Theorems An Cambridge Introductions To Philosophy
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Author : Peter Smith
language : en
Publisher:
Release Date : 2014-05-14
Introduction To Godel S Theorems An Cambridge Introductions To Philosophy written by Peter Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Electronic books categories.
Peter Smith examines Gödel's Theorems, how they were established and why they matter.
G Del S Theorem
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Author : Torkel Franzén
language : en
Publisher: CRC Press
Release Date : 2005-06-06
G Del S Theorem written by Torkel Franzén and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-06 with Mathematics categories.
"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
Godel S Incompleteness Theorems
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Author : Raymond M. Smullyan
language : en
Publisher: Oxford University Press
Release Date : 1992-08-20
Godel S Incompleteness Theorems written by Raymond M. Smullyan and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-08-20 with Mathematics categories.
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 And Computability
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Author : Richard Zach
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-06-15
Incompleteness And Computability written by Richard Zach and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-15 with categories.
A textbook on recursive function theory and G�del's incompleteness theorems. Also covers models of arithmetic and second-order logic.
A Friendly Introduction To Mathematical Logic
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Author : Christopher C. Leary
language : en
Publisher: Lulu.com
Release Date : 2015
A Friendly Introduction To Mathematical Logic written by Christopher C. Leary and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Education categories.
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.
Godel S Proof
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Author : Ernest Nagel
language : en
Publisher: Routledge
Release Date : 2012-11-12
Godel S Proof written by Ernest Nagel and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Philosophy categories.
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.