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Proofs of the Cantor-Bernstein Theorem: 2012 by Arie Hinkis (Hardback, 2013)

About this product

About this product

Product Information

This book offers an excursion through the developmental area of research mathematics. The scenic route passes through some 40 papers, published between the 1870s to the 1970s, on proofs of the Cantor-Bernstein theorem and the related Bernstein division theorem. While the emphasis is placed on providing accurate proofs, similar to the originals, the discussion is broadened to include aspects that pertain to the methodology of the development of mathematics and to the philosophy of mathematics. Works of prominent mathematicians and logicians are reviewed, including Cantor, Dedekind, Schroder, Bernstein, Borel, Zermelo, Poincare, Russell, Pea, the Konigs, Hausdorff, Sierpinski, Tarski, Banach, Brouwer and several others mainly of the Polish or the Dutch schools. In its attempt to present a diachronic narrative of one mathematical topic, the book resembles the celebrated book of Lakatos Proofs and Refutations . Indeed, some of the observations made by Lakatos are corroborated herein. The analogy between the two books is clearly t superficial because the present book also offers new theoretical ideas regarding the methodology of the development of mathematics (proof-processing), with implications on the historiography of mathematics.

Product Identifiers

Publisher
Springer Basel
ISBN-10
3034802234
ISBN-13
9783034802239
eBay Product ID (ePID)
178332352

Product Key Features

Author
Arie Hinkis
Format
Hardback
Language
English & Hebrew
Subject
Mathematics
Type
Textbook

Dimensions

Weight
842g
Height
235mm
Width
155mm

Additional Product Features

Spine
30mm
Series Part/Volume Number
45
Series Title
Science Networks. Historical Studies
Content Note
26 Black & White Illustrations, 3 Colour Illustrations, Biography
Date of Publication
22/02/2013
Genre
Mathematics
Country of Publication
Switzerland

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