Mathematical Logic (Dover Books on Mathematics)

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9780486425337: Mathematical Logic (Dover Books on Mathematics)
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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.

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This reprint of Kleene's 1967 text provides an elementary but thorough treatment of mathematical logic of the first order. Kleene (formerly: mathematics, University of Wisconsin, Madison) covers a variety of methods and techniques including model theory (truth tables), Hilbert-type proof theory, and proof theory through derived rules. Subsequent ch

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9780471490333: Mathematical Logic

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ISBN 10:  0471490334 ISBN 13:  9780471490333
Publisher: John Wiley & Sons Inc, 1967
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Book Description Dover Publications Inc., United States, 2002. Hardback. Condition: New. Reprint. Language: English. Brand new Book. 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. Seller Inventory # AAC9780486425337

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