Home ] Science ] Humanities ]

Cantor

Dedekind

Frege

Boltzmann

Cajal

Freud

DeVries

Planck

Russell

Husserl

Einstein

Curie

Rutherford

Bohr

DeBroglie

Schrodinger

Mendel

Georg Cantor

1845-1918

Biography

Photo Gallery

Links to Outside Sources

German mathematician who founded set theory and developed precise notion of infinity.  He also introduced the mathematically meaningful concept of transfinite numbers, indefinitely large but distinct from one another.

Biography

1845 born March 3
1856 age 11, family moved from St. Petersburg to Germany
1860 graduated from Realschule in Darmstadt with outstanding report (esp. trigonometry)
1862 entered the University of Zurich
1863 transferred to University of Berlin to study math under Weierstrass
1867 received doctorate, assistant professor at the backwater University of Halle (girl's school)
1868 joined Schellbach Seminar for mathematics teachers
1869 presented his thesis, again on number theory, and received his habilitation
1870 solved the problem proving uniqueness of the representation of a function as a trigonometric series
1872 begins friendship with Dedekind, published paper in which defined irrational numbers in terms of convergent sequences of rational numbers, promoted to Extraordinary Professor at Halle
1873 proved rational numbers countable with one-to-one correspondence and algebraic numbers were countable
1874 published paper that "almost all" numbers are transcendental by proving real numbers were not countable, one-to-one correspondence appears for the first time
1875 married Vally Guttmann (a friend of his sister) on August 9
1879 published his first paper on the theory of sets
1882 mathematical correspondence with Dedekind ended, one with Mittaag-Leffler began
1884 suffered first of many nervous breakdowns
1886 last son was born, completing his family of six children
1891 chaired first meeting of the Association in Halle, elected president of the Deutsche Mathematiker-Vereinigung
1896 published pamphlets on the literary question of Francis Bacon writing Shakespeare plays, mother died
1897 published last major paper on set theory
1899 younger brother died, youngest son died, mental illness caused all correspondence with Dedekind to cease, in and out of sanatoria until death
1903 lectured on paradoxes of set theory at Deutsche Mathematiker-Vereinigung meeting
1904 attended International Congress of Mathematicians at Heidlberg, awarded medal by the Royal Society of London and made a member of both the London Mathematical Society and the Society of Sciences in Gottingen
1905 wrote a religious work, corresponded with Jourdain on history of set theory and his religious tract
1911 invited to University of St Andrews in Scotland to attend its 500th anniversary celebration, but began to behave eccentrically, talking at great lengths on the Bacon-Shakespeare question, and fled to London
1912 received honorary degree of Doctor of Laws by the University of St Andrews
1913 retired
1917 entered a sanatorium for the last time and continually wrote to his wife asking to be allowed to go home
1918 died in a mental institution from a hear attack on January 6