Mathematical Logic

Name: Mathematical Logic
Brand: Springer Basel
SKU: 9783034808613
Price: 271.62 RON
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Foundations for Information Science

Autor: Wei Li

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Editura: Springer Basel

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Mathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as it...

Informații despre carte

Autor

Wei Li

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2014

Pagini

301

EAN

9783034808613

ISBN

3034808615

Enbook ID

05037324

Editura

Springer Basel

Greutate

5974

Dimensiuni

155 x 235 x 24

Descriere completă

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 Gödel 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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Mathematical Logic

Foundations for Information Science

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