9783540636489 - metamathematics of first-order arithmetic (perspectives in mathematical logic) von hajek, petr (3 Ergebnisse)
Sprache: Englisch
Verlag: Springer, 1998
Serie: Perspectives in Logic, Buch 8 von 17. Buch 8 von 17 - Perspectives in Logic
- Softcover
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EUR 141,76
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Sprache: Englisch
Verlag: Springer, Springer Vieweg, 1998
Serie: Perspectives in Logic, Buch 8 von 17. Buch 8 von 17 - Perspectives in Logic
- Softcover
Anbieter: AHA-BUCH GmbH, Einbeck, DeutschlandAHA-BUCH GmbH
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - People have always been interested in numbers, in particular the natural numbers. Of course, we all have an intuitive notion of what these numbers are. In the late 19th century mathematicians, such as Grassmann, Frege and Dedekind, gave definitions f…or these familiar objects. Since then the development of axiomatic schemes for arithmetic have played a fundamental role in a logical understanding of mathematics. There has been a need for some time for a monograph on the metamathematics of first-order arithmetic. The aim of the book by Hajek and Pudlak is to cover some of the most important results in the study of a first order theory of the natural numbers, called Peano arithmetic and its fragments (subtheories). The field is quite active, but only a small part of the results has been covered in monographs. This book is divided into three parts. In Part A, the authors develop parts of mathematics and logic in various fragments. Part B is devoted to incompleteness. Part C studies systems that have the induction schema restricted to bounded formulas (Bounded Arithmetic). One highlight of this section is the relation of provability to computational complexity. The study of formal systems for arithmetic is a prerequisite for understanding results such as Gödel's theorems. This book is intended for those who want to learn more about such systems and who want to follow current research in the field. The book contains a bibliography of approximately 1000 items.
Sprache: Englisch
Verlag: Springer, 1998
Serie: Perspectives in Logic, Buch 8 von 17. Buch 8 von 17 - Perspectives in Logic
- Softcover
Anbieter: Kennys Bookstore, Olney, MD, USAKennys Bookstore
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