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Proofs of the Cantor-Bernstein Theorem: A Mathematical Excursion by Arie Hinkis (Hardcover, 2013)

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Product Information

This book offers an excursion through the developmental area of research mathematics. It presents some 40 papers, published between the 1870s and 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, Schroeder, Bernstein, Borel, Zermelo, Poincare, Russell, Peano, the Koenigs, Hausdorff, Sierpinski, Tarski, Banach, Brouwer and several others mainly of the Polish and the Dutch schools. In its attempt to present a diachronic narrative of one mathematical topic, the book resembles Lakatos' celebrated book Proofs and Refutations. Indeed, some of the observations made by Lakatos are corroborated herein. The analogy between the two books is clearly anything but superficial, as the present book also offers new theoretical insights into the methodology of the development of mathematics (proof-processing), with implications for the historiography of mathematics.

Product Identifiers

Publisher
Birkhauser Verlag A&G
ISBN-13
9783034802239
eBay Product ID (ePID)
178227732

Product Key Features

Author
Arie Hinkis
Publication Name
Proofs of the Cantor-Bernstein Theorem: a Mathematical Excursion
Format
Hardcover
Language
English, Hebrew
Subject
Mathematics
Publication Year
2013
Type
Textbook
Number of Pages
429 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
45
Item Weight
8041g

Additional Product Features

Title_Author
Arie Hinkis
Series Title
Science Networks. Historical Studies
Country/Region of Manufacture
Switzerland

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Proofs of the Cantor-Bernstein Theorem: A Mathematical Excursion by Arie Hinkis (Hardcover, 2013)

Best-selling in Adult Learning & University

Secrets Of Mental Math: The Mathemagician's Guide to Lightening Calculation and Amazing Maths Tricks by Arthur Benjamin, Michael Shermer (Paperback, 2006)

Never Split the Difference: Negotiating as if Your Life Depended on It by Chris Voss, Tahl Raz (Paperback, 2017)

Die with Zero: Getting All You Can from Your Money and Your Life by Bill Perkins (Paperback, 2021)

Adult Children of Emotionally Immature Parents: How to Heal from Distant, Rejecting, or Self-Involved Parents by Lindsay C Gibson (Paperback, 2015)

Code of Practice for In-service Inspection and Testing of Electrical Equipment by The Institution of Engineering and Technology (Paperback, 2020)

Clean & Green: 101 Hints and Tips for a More Eco-Friendly Home by Nancy Birtwhistle (Hardcover, 2021)

11+: Bond 11+ Assessment Papers Book 2 9-10 years bundle by Various (Paperback, 2021)

Save on Adult Learning & University

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Zero to One: Notes on Start Ups, or How to Build the Future by Thiel, Peter The

Why We Get Sick (Paperback) by Bikman & Benjamin

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The Concise Laws of Human Nature by Robert Greene Paperback, English

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