Mathematical Logic
Stephen Cole Kleene
Dover Publications (2002)
In Collection
#1858
0*
Logic, Symbolic and mathematical, Mathematics, Mathematics - Philosophy, Mathematics/ Philosophy
Paperback 9780486425337
English
Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text by one of the centuries greatest authorities on the subject. Part I offers an elementary but thorough overview of mathematical logic of first order. The treatment does not stop with a single method of formulating logic; students receive instruction in a variety of techniques, first learning model theory (truth tables), then Hilbert-type proof theory, and proof theory handled through derived rules. Part II supplements the material covered in Part I and introduces some of the newer ideas and the more profound results of logical research in the twentieth century. Subsequent chapters introduce the study of formal number theory, with surveys of the famous incompleteness and undecidability results of Gödel, Church, Turing, and others. The emphasis in the final chapter reverts to logic, with examinations of Gödel's completeness theorem, Gentzen's theorem, Skolem's paradox and nonstandard models of arithmetic, and other theorems. Unabridged republication of the edition published by John Wiley & Sons, Inc. New York, 1967. Preface. Bibliography. Theorem and Lemma Numbers: Pages. List of Postulates. Symbols and Notations. Index.
Product Details
LoC Classification QA9.A1 .K54 2002
LoC Control Number 2002034823
Dewey 511.3
Cover Price $24.95
No. of Pages 416
Height x Width 8.7 x 5.4  inch
Personal Details
Read It No
Store Amazon
Location B4
Purchase Price $18.83
Purchase Date 1/25/2015
Condition Mint
Links Library of Congress