Introduction to Mathematical Logic by Hans Hermes (English) Paperback Book

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however, classical logic is a good introduction to logic because of its simplicity, and a good basis for applications because it is the foundation of classical mathematics, and thus of the exact sciences which are based on it.

FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Publisher Description

This book grew out of lectures. It is intended as an introduction to classical two-valued predicate logic. The restriction to classical logic is not meant to imply that this logic is intrinsically better than other, non-classical logics; however, classical logic is a good introduction to logic because of its simplicity, and a good basis for applications because it is the foundation of classical mathematics, and thus of the exact sciences which are based on it. The book is meant primarily for mathematics students who are already acquainted with some of the fundamental concepts of mathematics, such as that of a group. It should help the reader to see for himself the advantages of a formalisation. The step from the everyday language to a formalised language, which usually creates difficulties, is dis­ cussed and practised thoroughly. The analysis of the way in which basic mathematical structures are approached in mathematics leads in a natural way to the semantic notion of consequence. One of the substantial achievements of modern logic has been to show that the notion of consequence can be replaced by a provably equivalent notion of derivability which is defined by means of a calculus. Today we know of many calculi which have this property.

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Table of Contents

I. Introduction.- II. The Language of Predicate Logic.- III. The Semantics of Predicate Logic.- IV. A Predicate Calculus.- V. Gödel's Completeness Theorem.- VI. Peano's Axiom System.- VII. Extensions of the Language, Normal Forms.- VIII. The Theorems of A. Robinson, Craig and Beth.- IX. Miscellaneous.- Further Reading.- Index of Abbreviations for Defining and Derived Rules.- Notation.- Name and Subject Index.

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Long Description

This book grew out of lectures. It is intended as an introduction to classical two-valued predicate logic. The restriction to classical logic is not meant to imply that this logic is intrinsically better than other, non-classical logics; however, classical logic is a good introduction to logic because of its simplicity, and a good basis for applications because it is the foundation of classical mathematics, and thus of the exact sciences which are based on it. The book is meant primarily for mathematics students who are already acquainted with some of the fundamental concepts of mathematics, such as that of a group. It should help the reader to see for himself the advantages of a formalisation. The step from the everyday language to a formalised language, which usually creates difficulties, is dis

Details ISBN3540058192 Author Diana Schmidt Short Title INTRO TO MATHEMATICAL LOGIC Series Universitext Language English Translator Diana Schmidt ISBN-10 3540058192 ISBN-13 9783540058199 Media Book Format Paperback Year 1973 Publication Date 1973-01-29 Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K Place of Publication Berlin Country of Publication Germany Illustrations XII, 244 p. DOI 10.1007/978-3-642-87132-0 Pages 244 Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG DEWEY 510 Audience Professional & Vocational We've got this

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