Mathematical Logic (Paperback)

Language: English

Published by Dover Publications Inc., New York, 2003

0486425339 / 9780486425337

Series: Book 199 of 303 - Dover Books on Mathematics

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Paperback. Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text. It begins with an elementary but thorough overview of mathematical logic of first order. The treatment extends beyond a single method of formulating logic to offer instruction in a variety of techniques: model theory (truth tables), Hilbert-type proof theory, and proof theory handled through derived rules.The second part supplements the previously discussed material and introduces some of the newer ideas and the more profound results of twentieth-century logical research. Subsequent chapters explore the study of formal number theory, with surveys of the famous incompleteness and undecidability results of Godel, Church, Turing, and others. The emphasis in the final chapter reverts to logic, with examinations of Godel's completeness theorem, Gentzen's theorem, Skolem's paradox and nonstandard models of arithmetic, and other theorems. The author, Stephen Cole Kleene, was Cyrus C. MacDuffee Professor of Mathematics at the University of Wisconsin, Madison. Preface. Bibliography. Theorem and Lemma Numbers: Pages. List of Postulates. Symbols and Notations. Index. Undergraduate students with no prior instruction in mathematical logic will benefit from this multi-part text. Part I offers an elementary but thorough overview of mathematical logic of 1st order. Part II introduces some of the newer ideas and the more profound results of logical research in the 20th century. 1967 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. …

Seller Inventory # 9780486425337

Title
Mathematical Logic (Paperback)
Author
Stephen Cole Kleene
Publisher
Dover Publications Inc., New York
Publication year
2003
Condition
new
Binding
Paperback
Language
English
ISBN 10
0486425339
ISBN 13
9780486425337
Series
Book 199 of 303: Dover Books on Mathematics

Grand Eagle Retail

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