Contributions to the Founding of the Theory of Transfinite Numbers
Contributions to the Founding of the Theory of Transfinite Numbers

Author: Georg Cantor

Publisher:

Published: 2003-01

Total Pages: 211

ISBN-13: 9780758131690

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The famous articles, 1895-7, that founded a new branch of mathematics. Covers addition, multiplication and exponentiation of cardinal numbers, smallest transfinite cardinal numbers, ordinal types of simple ordered aggregates, more. Translated with introduction by P. Jourdain.

Contributions to the Founding of the Theory of Transfinite Numbers
Contributions to the Founding of the Theory of Transfinite Numbers

Author: Georg Cantor

Publisher: Hardpress Publishing

Published: 2013-01-28

Total Pages: 236

ISBN-13: 9781313358941

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Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Georg Cantor
Georg Cantor

Author: Joseph Warren Dauben

Publisher: Princeton University Press

Published: 1990

Total Pages: 422

ISBN-13: 9780691085838

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One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important studythe most thorough yet writtenof the philosopher and mathematician who was once called a "corrupter of youth" for an innovation that is now a vital component of elementary school curricula. Set theory has been widely adopted in mathematics and philosophy, but the controversy surrounding it at the turn of the century remains of great interest. Cantor's own faith in his theory was partly theological. His religious beliefs led him to expect paradoxes in any concept of the infinite, and he always retained his belief in the utter veracity of transfinite set theory. Later in his life, he was troubled by recurring attacks of severe depression. Dauben shows that these played an integral part in his understanding and defense of set theory.

CONTRIBUTIONS TO THE FOUNDING
CONTRIBUTIONS TO THE FOUNDING

Author: Georg 1845-1918 Cantor

Publisher: Wentworth Press

Published: 2016-08-30

Total Pages: 236

ISBN-13: 9781374627871

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Contributions to the Founding of the Theory of Transfinite Numbers (Classic Reprint)
Contributions to the Founding of the Theory of Transfinite Numbers (Classic Reprint)

Author: Georg Cantor

Publisher:

Published: 2015-06-29

Total Pages: 228

ISBN-13: 9781330493045

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Excerpt from Contributions to the Founding of the Theory of Transfinite Numbers This volume contains a translation of the two very important memoirs of Georg Cantor on transfinite numbers which appeared in the Mathematische Annalen for 1895 i 1897 under the title: "Beitrage zur Begrundung der transfiniten Mengenlehre." It seems to me that, since these memoirs are chiefly occupied with the investigation of the various transfinite cardinal and ordinal numbers and not with investigations belonging to what is usually described as "the theory of aggregates" or "the theory of sets" (Mengenlehre, theorie des ensembles), - the elements of the sets being real or complex numbers which are imaged as geometrical "points" in space of one or more dimensions, - the title given to them in this translation is more suitable. These memoirs are the final and logically purified statement of many of the most important results of the long series of memoirs begun by Cantor in 1870. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works."