Contributions to the Founding of the Theory of Transfinite Numbers

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Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis Contributions to the Founding of the Theory of Transfinite Numbers by : Georg Cantor

Download or read book Contributions to the Founding of the Theory of Transfinite Numbers written by Georg Cantor and published by . This book was released on 1915 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contributions to the Founding of the Theory of Transfinite Numbers

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Publisher : Cosimo, Inc.
ISBN 13 : 1602064423
Total Pages : 225 pages
Book Rating : 4.6/5 (2 download)

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Book Synopsis Contributions to the Founding of the Theory of Transfinite Numbers by : George Cantor

Download or read book Contributions to the Founding of the Theory of Transfinite Numbers written by George Cantor and published by Cosimo, Inc.. This book was released on 2007-05-01 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In it, Jourdain outlines the contributions of many of Cantor?'s forerunners including Fourier, Dirichlet, Cauchy, Weierstrass, Riemann, Dedekind, and Hankel and then further contextualizes Cantor?'s groundbreaking theory by recounting and examining his earlier work. In this volume, Cantor addresses: the addition and multiplication of powers the exponentiation of powers the finite cardinal numbers the smallest transfinite cardinal number aleph-zero addition and multiplication of ordinal types well-ordered aggregates the ordinal numbers of well-ordered aggregates and much more.German mathematician GEORG CANTOR (1845-1918) is best remembered for formulating set theory. His work was considered controversial at the time, but today he is widely recognized for his important contributions to the field of mathematics."

Contributions to the Founding of the Theory of Transfinite Numbers

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ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Contributions to the Founding of the Theory of Transfinite Numbers by : Georg Cantor

Download or read book Contributions to the Founding of the Theory of Transfinite Numbers written by Georg Cantor and published by . This book was released on 1911 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contributions to the Founding of the Theory of Transfinite Numbers

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Publisher :
ISBN 13 : 9780758131690
Total Pages : 211 pages
Book Rating : 4.1/5 (316 download)

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Book Synopsis Contributions to the Founding of the Theory of Transfinite Numbers by : Georg Cantor

Download or read book Contributions to the Founding of the Theory of Transfinite Numbers written by Georg Cantor and published by . This book was released on 2003-01 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. By George Cantor ...

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ISBN 13 :
Total Pages : 382 pages
Book Rating : 4.:/5 (791 download)

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Book Synopsis Contributions to the Founding of the Theory of Transfinite Numbers. By George Cantor ... by : T. H. Hildebrandt

Download or read book Contributions to the Founding of the Theory of Transfinite Numbers. By George Cantor ... written by T. H. Hildebrandt and published by . This book was released on 1916 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Georg Cantor

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Publisher : Princeton University Press
ISBN 13 : 9780691085838
Total Pages : 422 pages
Book Rating : 4.0/5 (858 download)

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Book Synopsis Georg Cantor by : Joseph Warren Dauben

Download or read book Georg Cantor written by Joseph Warren Dauben and published by Princeton University Press. This book was released on 1990 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Labyrinth of Thought

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764357498
Total Pages : 472 pages
Book Rating : 4.3/5 (574 download)

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Book Synopsis Labyrinth of Thought by : Jose Ferreiros

Download or read book Labyrinth of Thought written by Jose Ferreiros and published by Springer Science & Business Media. This book was released on 2001-11-01 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: "José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic)

Contributions to the Founding of the Theory of Transfinite Numbers

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Publisher : Hardpress Publishing
ISBN 13 : 9781313358941
Total Pages : 236 pages
Book Rating : 4.3/5 (589 download)

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Book Synopsis Contributions to the Founding of the Theory of Transfinite Numbers by : Georg Cantor

Download or read book Contributions to the Founding of the Theory of Transfinite Numbers written by Georg Cantor and published by Hardpress Publishing. This book was released on 2013-01-28 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Philosophy of Set Theory

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Publisher : Courier Corporation
ISBN 13 : 0486138550
Total Pages : 258 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Philosophy of Set Theory by : Mary Tiles

Download or read book The Philosophy of Set Theory written by Mary Tiles and published by Courier Corporation. This book was released on 2012-03-08 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVBeginning with perspectives on the finite universe and classes and Aristotelian logic, the author examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory, and more. /div

Set Theory and the Continuum Hypothesis

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Publisher : Courier Corporation
ISBN 13 : 0486469212
Total Pages : 196 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Set Theory and the Continuum Hypothesis by : Paul J. Cohen

Download or read book Set Theory and the Continuum Hypothesis written by Paul J. Cohen and published by Courier Corporation. This book was released on 2008-12-09 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exploration of a notorious mathematical problem is the work of the man who discovered the solution. Written by an award-winning professor at Stanford University, it employs intuitive explanations as well as detailed mathematical proofs in a self-contained treatment. This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994.

Treatise on Conic Sections

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ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Treatise on Conic Sections by : Apollonius (of Perga.)

Download or read book Treatise on Conic Sections written by Apollonius (of Perga.) and published by . This book was released on 1896 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

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ISBN 13 : 9781330493045
Total Pages : 228 pages
Book Rating : 4.4/5 (93 download)

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Book Synopsis Contributions to the Founding of the Theory of Transfinite Numbers (Classic Reprint) by : Georg Cantor

Download or read book Contributions to the Founding of the Theory of Transfinite Numbers (Classic Reprint) written by Georg Cantor and published by . This book was released on 2015-06-29 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."

CONTRIBUTIONS TO THE FOUNDING

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Publisher : Wentworth Press
ISBN 13 : 9781374627871
Total Pages : 236 pages
Book Rating : 4.6/5 (278 download)

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Book Synopsis CONTRIBUTIONS TO THE FOUNDING by : Georg 1845-1918 Cantor

Download or read book CONTRIBUTIONS TO THE FOUNDING written by Georg 1845-1918 Cantor and published by Wentworth Press. This book was released on 2016-08-30 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Contributions to the Founding of the Theory of Transfinite Numbers

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (974 download)

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Book Synopsis Contributions to the Founding of the Theory of Transfinite Numbers by : Georg Ferdinand Ludwig Philipp Cantor

Download or read book Contributions to the Founding of the Theory of Transfinite Numbers written by Georg Ferdinand Ludwig Philipp Cantor and published by . This book was released on 1941 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Continuum, and Other Types of Serial Order, with an Introduction to Cantor's Transfinite Numbers

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Publisher : Franklin Classics Trade Press
ISBN 13 : 9780344921582
Total Pages : 100 pages
Book Rating : 4.9/5 (215 download)

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Book Synopsis The Continuum, and Other Types of Serial Order, with an Introduction to Cantor's Transfinite Numbers by : Georg Cantor

Download or read book The Continuum, and Other Types of Serial Order, with an Introduction to Cantor's Transfinite Numbers written by Georg Cantor and published by Franklin Classics Trade Press. This book was released on 2018-11-08 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Cantorian Set Theory and Limitation of Size

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Publisher : Oxford University Press
ISBN 13 : 9780198532835
Total Pages : 372 pages
Book Rating : 4.5/5 (328 download)

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Book Synopsis Cantorian Set Theory and Limitation of Size by : Michael Hallett

Download or read book Cantorian Set Theory and Limitation of Size written by Michael Hallett and published by Oxford University Press. This book was released on 1986 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cantor's ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity. The philosophical and heuristic framework he developed had a lasting effect on modern mathematics, and is the recurrent theme of this volume. Hallett explores Cantor's ideas and, in particular, their ramifications for Zermelo-Frankel set theory.

Beyond Geometry

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Publisher : Courier Corporation
ISBN 13 : 0486453502
Total Pages : 226 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Beyond Geometry by : Peter Pesic

Download or read book Beyond Geometry written by Peter Pesic and published by Courier Corporation. This book was released on 2007-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eight essays trace seminal ideas about the foundations of geometry that led to the development of Einstein's general theory of relativity. This is the only English-language collection of these important papers, some of which are extremely hard to find. Contributors include Helmholtz, Klein, Clifford, Poincaré, and Cartan.