Metamathematics of First-Order Arithmetic

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 Grassman, Frege and Dedekind, gave definitions for 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.

Product details

• Authors: Petr Hájek, Pavel Pudlak
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.1993
• EAN: 9783540506324
• ISBN: 978-3-540-50632-4
• No. of pages: 460
• Weight: 854 g
• Series: Perspectives in Mathematical Logic
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Basic principles