Contributions to the Founding of the Theory of Transfinite Numbers (Paperback) (ISBN-13: 9781891396533)

2010 Reprint of 1915 Edition. Georg Ferdinand Ludwig Philipp Cantor was a German mathematician, best known as the inventor of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between sets, defined infinite and well-ordered sets, and proved that the real numbers are "more numerous" than the natural numbers. In fact, Cantor's theorem implies the existence of an "infinity of infinities". He defined the cardinal and ordinal numbers and their arithmetic. Cantor's work is of great philosophical interest, a fact of which he was well aware. In 1895-97 Cantor fully propounded his view of continuity and the infinite, including infinite ordinals and cardinals, in his best known work, Contributions to the Founding of the Theory of Transfinite Numbers . This work contains his conception of transfinite numbers, to which he was led by his demonstration that an infinite set may be placed in a one-to-one correspondence with one of its subsets.

Author: Georg Cantor
ISBN-10: 1891396536
ISBN-13: 9781891396533
Publisher: Martino Fine Books
Language: English
Published: 12/30/2010
Pages: 222
Format: Paperback
Weight: 0.73lbs
Size: 9.00h x 6.00w x 0.51d