George
Cantor about 150 words
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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.
Cantor’s parents were Danish. His artistic mother, a Roman Catholic, came from a family of musicians, and his father, a Protestant, was a prosperous merchant. When his father became ill in 1856, the family moved to Frankfurt. Cantor’s mathematical talents emerged prior to his 15th birthday while he was studying in private schools and at gymnasien at Darmstadt first and then at Wiesbaden; eventually, he overcame the objections of his father, who wanted him to become an engineer.
After briefly attending the University of Zürich, Cantor in 1863 transferred to the University of Berlin to specialize in physics, philosophy, and mathematics. There he was taught by the mathematicians Karl Weierstrass, whose specialization of analysis probably had the greatest influence on him; Ernst Eduard Kummer, in higher arithmetic; and Leopold Kronecker, a specialist on the theory of numbers who later opposed him. Following one semester at the University of Göttingen in 1866, Cantor wrote his doctoral thesis in 1867, De Aequationibus Secundi Gradus Indeterminatis (“On the Indeterminate Equations of the Second Degree”), on a question that Carl Friedrich Gauss had left unsettled in his Disquisitiones Arithmeticae (1801). After a brief teaching assignment in a Berlin girls’ school, Cantor joined the faculty at the University of Halle, where he remained for the rest of his life, first as lecturer (paid by fees only) in 1869, then assistant professor in 1872, and full professor in 1879.
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