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Georg Ferdinand Ludwig Philipp Cantor (/ ˈ k æ n t ɔːr / KAN-tor, German: [ˈɡeːɔʁk ˈfɛʁdinant ˈluːtvɪç ˈfiːlɪp ˈkantoːɐ̯]; 3 March [O.S. 19 February] 1845 – 6 January 1918) was a mathematician who played a pivotal role in the creation of set theory, which has become a fundamental theory in mathematics.
Georg Cantor, German mathematician who founded set theory and introduced the mathematically meaningful concept of transfinite numbers, indefinitely large but distinct from one another. His work was fundamental to the development of function theory, analysis, and topology.
- The Editors of Encyclopaedia Britannica
Apr 10, 2007 · But the study of large cardinals developed slowly. Meanwhile, Hausdorff’s textbook Grundzüge der Mengenlehre (1914) introduced two generations of mathematicians into set theory and general topology. The next crucial steps into the “very high” infinite were done in 1930.
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 ...
The modern study of set theory was initiated by the German mathematicians Richard Dedekind and Georg Cantor in the 1870s. In particular, Georg Cantor is commonly considered the founder of set theory.
History of logic - Georg Cantor, Set Theory, Mathematics: A development in Germany originally completely distinct from logic but later to merge with it was Georg Cantor’s development of set theory.
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.
