• Thumbnail for Georg Cantor
    Georg Ferdinand Ludwig Philipp Cantor (/ˈkæntɔːr/ KAN-tor, German: [ˈɡeːɔʁk ˈfɛʁdinant ˈluːtvɪç ˈfiːlɪp ˈkantoːɐ̯]; 3 March [O.S. 19 February] 1845 –...
    83 KB (10,006 words) - 15:11, 16 August 2024
  • Smith and mentioned by German mathematician Georg Cantor in 1883. Through consideration of this set, Cantor and others helped lay the foundations of modern...
    45 KB (6,916 words) - 19:55, 12 May 2024
  • "absolute", is an extension of the idea of infinity proposed by mathematician Georg Cantor. It can be thought of as a number that is bigger than any other conceivable...
    9 KB (1,237 words) - 13:25, 23 May 2024
  • Schröder. It is also known as the Cantor–Bernstein theorem or Cantor–Schröder–Bernstein theorem, after Georg Cantor, who first published it (albeit without...
    20 KB (2,266 words) - 07:59, 5 August 2024
  • The Cantor Medal of the Deutsche Mathematiker-Vereinigung is named in honor of Georg Cantor, the first president of the society. It is awarded at most...
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  • Thumbnail for Cantor's diagonal argument
    infinite sets is treated by the theory of cardinal numbers, which Cantor began. Georg Cantor published this proof in 1891,: 20–  but it was not his first proof...
    27 KB (2,812 words) - 12:56, 25 July 2024
  • Thumbnail for Cantor's first set theory article
    Cantor's first set theory article contains Georg Cantor's first theorems of transfinite set theory, which studies infinite sets and their properties....
    101 KB (7,536 words) - 20:48, 11 February 2024
  • mathematics, a Cantor space, named for Georg Cantor, is a topological abstraction of the classical Cantor set: a topological space is a Cantor space if it...
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  • in 1890 in Bremen with the set theorist Georg Cantor as first president. Founding members included Georg Cantor, Felix Klein, Walther von Dyck, David Hilbert...
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  • ordering of infinite sets. The term transfinite was coined in 1895 by Georg Cantor, who wished to avoid some of the implications of the word infinite in...
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  • {\displaystyle \beth _{1}=\aleph _{1}} . The continuum hypothesis was advanced by Georg Cantor in 1878, and establishing its truth or falsehood is the first of Hilbert's...
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  • It was used by Felix Hausdorff and named by him after Georg Cantor and Felix Bernstein. Cantor constructed a family of countable order types with the...
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  • Thumbnail for Cantor function
    the Cantor staircase function, and the Cantor–Lebesgue function. Georg Cantor (1884) introduced the Cantor function and mentioned that Scheeffer pointed...
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  • positive measure. The Smith–Volterra–Cantor set is named after the mathematicians Henry Smith, Vito Volterra and Georg Cantor. In an 1875 paper, Smith discussed...
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  • Thumbnail for Set (mathematics)
    finite-dimensional Euclidean space. The continuum hypothesis, formulated by Georg Cantor in 1878, is the statement that there is no set with cardinality strictly...
    41 KB (4,747 words) - 09:15, 3 July 2024
  • Meschkowski 1981, Georg Cantor: Leben, Werk und Wirkung (2. Aufl.), BI, Mannheim. H. Meschkowski, W. Nilson (Hrsg.) 1991, Georg Cantor – Briefe, Springer...
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  • Thumbnail for Cantor's theorem
    named for German mathematician Georg Cantor, who first stated and proved it at the end of the 19th century. Cantor's theorem had immediate and important...
    22 KB (3,625 words) - 20:35, 1 August 2024
  • a naive set theory. It was created at the end of the 19th century by Georg Cantor as part of his study of infinite sets and developed by Gottlob Frege...
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  • Thumbnail for Cardinality
    understand infinite sets, a notion of cardinality was formulated c. 1880 by Georg Cantor, the originator of set theory. He examined the process of equating two...
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  • denoted by S ′ . {\displaystyle S'.} The concept was first introduced by Georg Cantor in 1872 and he developed set theory in large part to study derived sets...
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  • Thumbnail for Infinity
    and, if so, how this could be done. At the end of the 19th century, Georg Cantor enlarged the mathematical study of infinity by studying infinite sets...
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  • Thumbnail for Aleph number
    that can be well-ordered. They were introduced by the mathematician Georg Cantor and are named after the symbol he used to denote them, the Hebrew letter...
    16 KB (1,962 words) - 23:05, 20 August 2024
  • Thumbnail for Georg Cantor Gymnasium
    The Georg Cantor Gymnasium is a German gymnasium in Halle (Saale) with a special focus on mathematics and the sciences (specialist school). The all-day...
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  • state whether two sets have the same size even if they are infinite. Georg Cantor, the inventor of set theory, showed in 1874 that there is more than one...
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  • Thumbnail for Cardinal number
    infinite sets, the behavior is more complex. A fundamental theorem due to Georg Cantor shows that it is possible for infinite sets to have different cardinalities...
    26 KB (3,808 words) - 01:08, 27 April 2024
  • Thumbnail for Cantor distribution
    The Cantor distribution is the probability distribution whose cumulative distribution function is the Cantor function. This distribution has neither a...
    6 KB (811 words) - 18:39, 10 November 2023
  • finite is said to be countably infinite. The concept is attributed to Georg Cantor, who proved the existence of uncountable sets, that is, sets that are...
    28 KB (4,375 words) - 23:54, 20 May 2024
  • other academics at the University of Göttingen. At the end of the 1890s, Georg Cantor – considered the founder of modern set theory – had already realized...
    31 KB (4,600 words) - 20:26, 24 July 2024
  • In his work on set theory, Georg Cantor denoted the collection of all cardinal numbers by the last letter of the Hebrew alphabet, ת (transliterated as...
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  • Thumbnail for Ordinal number
    none of these operations are commutative. Ordinals were introduced by Georg Cantor in 1883 in order to accommodate infinite sequences and classify derived...
    47 KB (6,717 words) - 10:52, 24 July 2024