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Georg Cantor. Georg Ferdinand Ludwig Philipp Cantor ( / ˈkæntɔːr / KAN-tor, German: [ˈɡeːɔʁk ˈfɛʁdinant ˈluːtvɪç ˈfiːlɪp ˈkantoːɐ̯]; 3 March [ O.S. 19 February] 1845 – 6 January 1918 [1]) was a mathematician who played a pivotal role in the creation of set theory, which has become a fundamental theory in mathematics.
- German
- Set theory
Georg Cantor (born March 3, 1845, St. Petersburg, Russia—died January 6, 1918, Halle, Germany) was a German mathematician who founded set theory and introduced the mathematically meaningful concept of transfinite numbers, indefinitely large but distinct from one another.
- The Editors of Encyclopaedia Britannica
Georg Cantor's father, Georg Waldemar Cantor, was a successful merchant, working as a wholesaling agent in St Petersburg, then later as a broker in the St Petersburg Stock Exchange. Georg Waldemar Cantor was born in Denmark and he was a man with a deep love of culture and the arts.
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Mar 29, 2019 · Georg Cantor was the first to fully address such an abstract concept, and he did it by developing set theory, which led him to the surprising conclusion that there are infinities of different sizes. Faced with the rejection of his counterintuitive ideas, Cantor doubted himself and suffered successive nervous breakdowns, until dying interned in ...
Throughout the 1880s and 1890s, he refined his set theory, defining well-ordered sets and power sets and introducing the concepts of ordinality and cardinality and the arithmetic of infinite sets. What is now known as Cantor’s theorem states generally that, for any set A, the power set of A(i.e. the set of all subsets of A) has a strictly ...
Georg Cantor. A development in Germany originally completely distinct from logic but later to merge with it was Georg Cantor’s development of set theory.In work originating from discussions on the foundations of the infinitesimal and derivative calculus by Baron Augustin-Louis Cauchy and Karl Weierstrass, Cantor and Richard Dedekind developed methods of dealing with the large, and in fact ...
Jun 8, 2018 · Cantor, Georg. ( b. St. Petersburg, Russia, 3 March 1845; d. Halle, Germany, 6 January 1918), mathematics, set theory. Cantor’s father, Georg Waldemar Cantor, was a successful and cosmopolitan merchant. His extant letters to his son attest to a cheerfulness of spirit and deep appreciation of art and religion. His mother, Marie Böhm, was from ...
