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Georg Cantor : = his mathematics and...

Dauben, Joseph W., (1944-)

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Georg Cantor : = his mathematics and philosophy of the infinite /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Georg Cantor :/ Joseph Warren Dauben.
其他題名:	his mathematics and philosophy of the infinite /
作者:	Dauben, Joseph W.,
出版者:	Princeton, N.J. :Princeton University Press, : 1979.,
面頁冊數:	ix, 404 p. :ill. ;24 cm.
附註:	First Princeton paperback printing, 1990.
內容註:	Preludes in analysis -- The origins of Cantorian Set Theory: Trigonometric series, real numbers, and derived sets -- Denumerability and dimension -- Cantor's early theory of point sets -- The mathematics of Cantor's Grundlagen -- Cantor's philosophy of the infinite -- From the Grundlagen to the Beitrage, 1883-1895 -- The Beitrage, Part I: The study of simply-ordered sets -- The Beitrage, Part II: The study of well-ordered sets -- The foundations and philosophy of Cantorian Set Theory -- The paradoxes and problems of Post-Cantorian Set Theory -- Epilogue: The Significance of Cantor's personality -- Appendixes: Previously unpublished correspondence.
標題:	Set theory - History. -
ISBN:	9780691024479

Georg Cantor : = his mathematics and philosophy of the infinite /
Dauben, Joseph W.,1944-

Georg Cantor :his mathematics and philosophy of the infinite /Joseph Warren Dauben. - Princeton, N.J. :Princeton University Press,1979. - ix, 404 p. :ill. ;24 cm.

First Princeton paperback printing, 1990.

Includes bibliographical references (p. [361]-384) and index.

Preludes in analysis -- The origins of Cantorian Set Theory: Trigonometric series, real numbers, and derived sets -- Denumerability and dimension -- Cantor's early theory of point sets -- The mathematics of Cantor's Grundlagen -- Cantor's philosophy of the infinite -- From the Grundlagen to the Beitrage, 1883-1895 -- The Beitrage, Part I: The study of simply-ordered sets -- The Beitrage, Part II: The study of well-ordered sets -- The foundations and philosophy of Cantorian Set Theory -- The paradoxes and problems of Post-Cantorian Set Theory -- Epilogue: The Significance of Cantor's personality -- Appendixes: Previously unpublished correspondence.

"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" -- publisher's website.

ISBN: 9780691024479US79

LCCN: 90008579 Subjects--Personal Names:

2156696
Cantor, Georg,
1845-1918.Subjects--Topical Terms:

3642308
Set theory
--History.

LC Class. No.: QA248 / .D27 1990

Dewey Class. No.: 511.3/22/09

Georg Cantor : = his mathematics and philosophy of the infinite /
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100 1 $a Dauben, Joseph W., $d 1944- $3 3642307
245 1 0 $a Georg Cantor : $b his mathematics and philosophy of the infinite / $c Joseph Warren Dauben.
260 # $a Princeton, N.J. : $b Princeton University Press, $c 1979.
300 $a ix, 404 p. : $b ill. ; $c 24 cm.
500 $a First Princeton paperback printing, 1990.
504 $a Includes bibliographical references (p. [361]-384) and index.
505 0 # $a Preludes in analysis -- The origins of Cantorian Set Theory: Trigonometric series, real numbers, and derived sets -- Denumerability and dimension -- Cantor's early theory of point sets -- The mathematics of Cantor's Grundlagen -- Cantor's philosophy of the infinite -- From the Grundlagen to the Beitrage, 1883-1895 -- The Beitrage, Part I: The study of simply-ordered sets -- The Beitrage, Part II: The study of well-ordered sets -- The foundations and philosophy of Cantorian Set Theory -- The paradoxes and problems of Post-Cantorian Set Theory -- Epilogue: The Significance of Cantor's personality -- Appendixes: Previously unpublished correspondence.
520 # $a "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" -- publisher's website.
600 1 0 $a Cantor, Georg, $d 1845-1918. $3 2156696
650 # 0 $a Set theory $x History. $3 3642308
650 # 0 $a Transfinite numbers $x History. $3 3642309
650 # 0 $a Infinite. $3 524340