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Georg Cantor
Beginning of essay
I.
founded set theory and introduced the concept of infinite numbers
with his discovery of cardinal numbers. He also advanced the study of
trigonometric series and was the first to prove the nondenumerability of the
real numbers. Georg Ferdinand Ludwig Philipp Cantor was born in St. Petersburg,
R ....
Middle of essay ....g a problem in
analysis, he had dug deeply into its foundations, especially sets and infinite
sets. What he found baffled him. In a series of papers from 1874 to 1897, he was
able to prove that the set of integers had an equal number of members as the set
of even numbers, squares, cubes, and roots to equations; that the number of
points in a line segment is equal to the number of points in an infinite line, a
plane and all mathematical space; and that the number of transcendental numbers,
values.... |
Number of words: 2069 |
Approximate pages: 8 |
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