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Bibliographic Details

Title: Mathematical Logic: Foundations for Information Science (Progress in Computer Science and Applied Logic, 25, Band 25)
Publisher: Birkh�user
Publication Date: 2010
Language: English
ISBN 10: 3764399767
ISBN 13: 9783764399764
Binding: Hardcover
Condition: Tr�s bon

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Book by Li, Wei

From the Back Cover

Mathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as its objects of study. This book shows how it can also provide a foundation for the development of information science and technology. The first five chapters systematically present the core topics of classical mathematical logic, including the syntax and models of first-order languages, formal inference systems, computability and representability, and G�del’s theorems. The last five chapters present extensions and developments of classical mathematical logic, particularly the concepts of version sequences of formal theories and their limits, the system of revision calculus, proschemes (formal descriptions of proof methods and strategies) and their properties, and the theory of inductive inference. All of these themes contribute to a formal theory of axiomatization and its application to the process of developing information technology and scientific theories. The book also describes the paradigm of three kinds of language environments for theories and it presents the basic properties required of a meta-language environment. Finally, the book brings these themes together by describing a workflow for scientific research in the information era in which formal methods, interactive software and human invention are all used to their advantage.

This book represents a valuable reference for graduate and undergraduate students and researchers in mathematics, information science and technology, and other relevant areas of natural sciences. Its first five chapters serve as an undergraduate text in mathematical logic and the last five chapters are addressed to graduate students in relevant disciplines.

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English below. Ammareal est une librairie professionnelle sp�cialis�e dans le livre d?occasion. Nous exp�dions partout dans le monde. Nous avons plus de 250 000 ouvrages en stock dont un grand nombre de livres techniques et acad�miques. Nous reversons jusqu?� 15% du prix de vente de chaque livre � des organisations caritatives, des biblioth�ques et des associations luttant contre l?illettrisme. Ce que nous ne vendons pas nous le donnons, ce que nous ne donnons pas nous le recyclons. Ammareal is a professional bookseller speciliazed in used books. We ship worldwide. We have more than 250 000 books in stock, including a large number of technical and university-level books. We give back up to 15% of the price of each book to charities, libraries and organizations fighting in favor of literacy. What we do not sell, we give, what we do not give we recycle.

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