PROBLEMS AND THEOREMS IN CLASSICAL SET THEORY - Softcover

Peter (Author) Komjath

Softcover

ISBN 10: 8184898401 ISBN 13: 9788184898408

Publisher: Springer, 2011

Synopsis

Although the ?rst decades of the 20th century saw some strong debates on set theory and the foundation of mathematics, afterwards set theory has turned into a solid branch of mathematics, indeed, so solid, that it serves as the foundation of the whole building of mathematics. Later generations, honest to Hilbert’s dictum, “No one can chase us out of the paradise that Cantor has created for us” proved countless deep and interesting theorems and also applied the methods of set theory to various problems in algebra, topology, in?nitary combinatorics, and real analysis. The invention of forcing produced a powerful, technically sophisticated tool for solving unsolvable problems. Still, most results of the pre-Cohen era can be digested with just the knowledge of a commonsense introduction to the topic. And it is a worthy e?ort, here we refer not just to usefulness, but, ?rst and foremost, to mathematical beauty. In this volume we o?er a collection of various problems in set theory. Mos

Edition details

• Publisher: Springer
• Publication date: 2011
• ISBN 10: 8184898401
• ISBN 13: 9788184898408
• Binding: Paperback
• Language: English
• Edition number: 1