Set Theory, Logic and their Limitations - Hardcover

Machover, Moshe

Hardcover

ISBN 10: 0521474930 ISBN 13: 9780521474931

Publisher: Cambridge University Press, 1996

Synopsis

This is an introduction to set theory and logic that starts completely from scratch. The text is accompanied by many methodological remarks and explanations. A rigorous axiomatic presentation of Zermelo-Fraenkel set theory is given, demonstrating how the basic concepts of mathematics have apparently been reduced to set theory. This is followed by a presentation of propositional and first-order logic. Concepts and results of recursion theory are explained in intuitive terms, and the author proves and explains the limitative results of Skolem, Tarski, Church and Gödel (the celebrated incompleteness theorems). For students of mathematics or philosophy this book provides an excellent introduction to logic and set theory.

About this title

Review

' ... written by an excellent mathematician ... I very much like the way the author explains things.' European Mathematical Society

Book Description

This is an introduction to set theory and logic that starts completely from scratch. A rigorous axiomatic presentation of Zermelo-Fraenkel set theory is given, demonstrating how the basic concepts of mathematics have apparently been reduced to set theory. This is followed by a presentation of propositional and first-order logic, and the author proves and explains the limitative results of Skolem, Tarski, Church and Gödel (the celebrated incompleteness theorems). For students of mathematics or philosophy this book provides an excellent introduction to logic and set theory.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1996
• Language: English
• ISBN 10: 0521474930
• ISBN 13: 9780521474931
• Binding: Hardcover
• Number of pages: 298