Mathematical Logic

Stephen Cole Kleene (Autor)

Buch | Hardcover

416 Seiten

2003
Dover Publications Inc. (Verlag)
978-0-486-42533-7 (ISBN)

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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

Erscheint lt. Verlag	28.3.2003
Reihe/Serie	Dover Books on Mathematics
Verlagsort	New York
Sprache	englisch
Maße	140 x 220 mm
Gewicht	454 g
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-10	0-486-42533-9 / 0486425339
ISBN-13	978-0-486-42533-7 / 9780486425337
Zustand	Neuware