Georg Cantor

Georg Cantor

Georg Cantor

Born: March 3, 1845, St. Petersburg, Russia
Died: January 6, 1918, Halle, Germany

Cantor's full name was Georg Ferdinand Ludwig Philipp Cantor. Of all the great mathematicians, Cantor most perfectly fulfills the (Hollywood) stereotype that a genius for mathematics and mental illness are somehow inextricable. Cantor's most brilliant insight was to develop a way to talk about mathematical infinity. He developed the famous concept of set theory between 1874 and 1884. His set theory has become a fundamental theory in mathematics. The result was mind-blowing.

Prior to Cantor's work, the concept of a set was a rather elementary one that had been used implicitly. No one had realized that set theory had any nontrivial content. Before Cantor, there were only finite sets (which are easy to understand). By proving that there are (infinitely) many possible sizes for infinite sets, Cantor established that set theory was not trivial, and it needed to be studied.

Set theory has come to play the role of a foundational theory in modern mathematics, in the sense that it interprets propositions about mathematical objects (for example, numbers and functions) from all the traditional areas of mathematics. The basic concepts of set theory are now used throughout mathematics.

Cantor's first ten papers were on number theory. He solved the uniqueness of the representation of a function by trigonometric series. Cantor solved this problem in 1869. While working on this problem, he discovered transfinite ordinals, which occurred as indices n in the nth derived set Sn of a set of zeroes of trigonometric series.

Unfortunately, on 6th January 1918, he had a fatal heart attach and could not survive his life. He also became fixated on proving that the works of Shakespeare were in fact written by Francis Bacon.

Please do not enter any spam link in the comment box.

Post a Comment (0)
Previous Post Next Post