Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics Unknown - 2007
by Ferreiros, Jose
From the rear cover
Labyrinth of Thought discusses the emergence and development of set theory and the set-theoretic approach to mathematics during the period 1850-1940. Rather than focusing on the pivotal figure of Georg Cantor, it analyzes his work and the emergence of transfinite set theory within the broader context of the rise of modern mathematics. The text has a tripartite structure. Part 1, The Emergence of Sets within Mathematics, surveys the initial motivations for a mathematical notion of a set within several branches of the discipline (geometry, algebra, algebraic number theory, real and complex analysis), emphasizing the role played by Riemann in fostering acceptance of the set-theoretic approach. In Part 2, Entering the Labyrinth, attention turns to the earliest theories of sets, their evolution, and their reception by the mathematical community; prominent are the epoch-making contributions of Cantor and Dedekind, and the complex interactions between them. Part 3, In Search of an Axiom System, studies the four-decade period from the discovery of set-theoretic paradoxes to Gdel's independence results, an era during which set theory gradually became assimilated into mainstream mathematics; particular attention is given to the interactions between axiomatic set theory and modern systems of formal logic, especially the interplay between set theory and type theory. A new Epilogue for this second edition offers further reflections on the foundations of set theory, including the "dichotomy conception" and the well-known iterative conception.
"The author paints on a grand scale. He sees clearly, and he sees whole. The result is a spacious canvas full of intriguing scenes and portraits from the history of set theory, seamlessly juxtaposed to form a fascinating and accurate picture of a vast area of modern mathematics. It is a must-have book for anyone who wishes to gain a balanced picture of this history. It is written in clear and elegant language for the learner, while experts in the area will enjoy seeing this beautiful presentation of what they already know, perhaps arguing about some of the author's conclusions and choices of material."
(Roger Cooke, University of Vermont)
Details
- Title Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics
- Author Ferreiros, Jose
- Binding unknown
- Edition 2nd
- Pages 466
- Language ENG
- Publisher Birkh�user, Boston , Massachusetts
- Date 2007-10
- Features Bibliography, Illustrated, Index, Table of Contents
- ISBN 9783764383497
More Copies for Sale
Labyrinth of thought. a history of set theory and its role in modern mathematics. second revised edition
by FERREIRÓS, J
- Used
- Paperback
- Condition
- Used
- Binding
- Paperback
- ISBN 10 / ISBN 13
- 9783764383497 / 3764383496
- Quantity Available
- 1
- Seller
-
Heerlen, Netherlands
- Item Price
-
£65.35£21.35 shipping to USA
Show Details
Labyrinth of Thought : A History of Set Theory and Its Role in Modern Mathematics
by José Ferreirós
- New
- Condition
- New
- ISBN 10 / ISBN 13
- 9783764383497 / 3764383496
- Quantity Available
- 499
- Seller
-
Uxbridge, Greater London, United Kingdom
- Item Price
-
£77.97£7.99 shipping to USA
Show Details
Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics
by Jose Ferreiros
- New
- first
- Condition
- New
- ISBN 10 / ISBN 13
- 9783764383497 / 3764383496
- Quantity Available
- 10
- Seller
-
Southport, Merseyside, United Kingdom
- Item Price
-
£87.95£9.95 shipping to USA
Show Details
Labyrinth of Thought
by José Ferreirós
- New
- Condition
- New
- ISBN 10 / ISBN 13
- 9783764383497 / 3764383496
- Quantity Available
- 4
- Seller
-
Woodside, New York, United States
- Item Price
-
£87.37£3.23 shipping to USA
Show Details
Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics
by Jose Ferreiros
- New
- Paperback
- Condition
- New
- Binding
- Paperback
- ISBN 10 / ISBN 13
- 9783764383497 / 3764383496
- Quantity Available
- 2
- Seller
-
Exeter, Devon, United Kingdom
- Item Price
-
£116.72£10.00 shipping to USA