What did Georg Cantor do for math?

Georg Cantor, in full Georg Ferdinand Ludwig Philipp Cantor, (born March 3, 1845, St. Petersburg, Russia—died January 6, 1918, Halle, Germany), German mathematician who founded set theory and introduced the mathematically meaningful concept of transfinite numbers, indefinitely large but distinct from one another.

What is Georg Cantor set theory?

He created set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are more numerous than the natural numbers.

What university did Georg Cantor teach at?

Humboldt University of Berlin1867
ETH Zürich
Georg Cantor/Education

Where was Georg Cantor from?

Saint Petersburg, Russia
Georg Cantor/Place of birth

How did Georg Cantor revolutionize the field of mathematics?

Georg Cantor’s achievement in mathematics was outstanding. He revolutionized the foundation of mathematics with set theory. Set theory is now considered so fundamental that it seems to border on the obvious but at its introduction it was controversial and revolutionary.

Where did Georg Cantor live for most of his life?

The title on the memorial plaque (in Russian): “In this building was born and lived from 1845 till 1854 the great mathematician and creator of set theory Georg Cantor”, Vasilievsky Island, Saint-Petersburg.

Why was Georg Cantor interested in transfinite numbers?

In the process Cantor was led to consider not only the epistemological questions which his new transfinite numbers raised but to formulate as well an accompanying metaphysics. Arguing the mathematical consistency of the new theory, and thereby asserting its legitimacy, was not enough.

When did Georg Cantor go to the University of Berlin?

After briefly attending the University of Zürich, Cantor in 1863 transferred to the University of Berlin to specialize in physics, philosophy, and mathematics.