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Contributions to the Founding of the Theory of Transfinite Numbers (Paperback)
Loot Price: R395
Discovery Miles 3 950
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Contributions to the Founding of the Theory of Transfinite Numbers (Paperback)
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Loot Price R395
Discovery Miles 3 950
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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.
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