Georg Cantor

3 March 1845 – 6 January 1918

Georg Cantor (1845-1918) was a German mathematician who created set theory and established the mathematics of infinity, proving that the real numbers are more numerous than the natural numbers and introducing transfinite cardinal and ordinal numbers. His work, initially controversial, became a foundation of modern mathematics; he spent most of his career at the University of Halle and suffered recurring bouts of depression in later life.

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Life events

Born in Saint Petersburg, Russian Empire
3 March 1845

Cantor was born to a merchant family of German descent in Saint Petersburg.

Source: en.wikipedia.org
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Family moved from Russia to Germany
1856

Because of his father's poor health, the family relocated to Germany, settling in Frankfurt.

Source: en.wikipedia.org
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Studied mathematics in Zurich and Berlin
1862 – 1867

Cantor studied at the ETH Zurich and then the University of Berlin under Weierstrass, Kummer, and Kronecker.

Source: en.wikipedia.org
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Received doctorate from the University of Berlin
1867

He completed his dissertation on number theory, 'De aequationibus secundi gradus indeterminatis'.

Source: en.wikipedia.org
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Joined the University of Halle
1869

Cantor took a position at Halle, where he remained for his entire career, becoming full professor in 1879.

Source: en.wikipedia.org
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Proved the uncountability of the real numbers
1874

His paper 'On a Property of the Collection of All Real Algebraic Numbers' showed the real numbers cannot be put in one-to-one correspondence with the naturals, founding set theory.

Source: en.wikipedia.org
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Married Vally Guttmann
9 August 1874

Cantor married Vally Guttmann, with whom he had six children.

Source: en.wikipedia.org
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Co-founded the German Mathematical Society and served as its first president
1890

Cantor was instrumental in founding the Deutsche Mathematiker-Vereinigung and was elected its first president.

Source: en.wikipedia.org
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Published diagonal argument and theory of transfinite numbers
1891

In 1891 Cantor published his diagonal argument, and in the 1890s his major treatises on transfinite cardinal and ordinal arithmetic.

Source: en.wikipedia.org
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Died in a sanatorium in Halle
6 January 1918

After years of ill health and recurrent depression, Cantor died of a heart attack in the Halle university clinic where he had spent his final year.

Source: en.wikipedia.org
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