Introduction to Mathematical Logic
Hans Hermes
(Author)
Diana Schmidt
(Translator)
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.
Product Details
Price
$63.24
Publisher
Springer
Publish Date
January 29, 1973
Pages
244
Dimensions
7.0 X 10.0 X 0.55 inches | 1.01 pounds
Language
English
Type
Paperback
EAN/UPC
9783540058199
BISAC Categories:
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I have been painting as a hobby for 15 years using watercolor, acrylics and mixed media. Becoming a book illustrator is an exciting step after retiring as a software developer and project manager.