It was created at the end of the 19th century by Georg Cantor as part of his study of infinite sets.

Some believe that Georg Cantor's set theory was not actually implicated by these paradoxes ( see Frápolli 1991 ); one difficulty in determining this with certainty is that Cantor did not provide an axiomatization of his system.

In mathematics, the continuum hypothesis ( abbreviated CH ) is a hypothesis, advanced by Georg Cantor in 1878, about the possible sizes of infinite sets.

The term was originated by Georg Cantor.

For example, Georg Cantor ( who introduced this concept ) demonstrated that the real numbers cannot be put into one-to-one correspondence with the natural numbers ( non-negative integers ), and therefore that the set of real numbers has a greater cardinality than the set of natural numbers.

It was discovered in 1874 by Henry John Stephen Smith and introduced by German mathematician Georg Cantor in 1883.

A fundamental theorem due to Georg Cantor shows that it is possible for infinite sets to have different cardinalities, and in particular the set of real numbers and the set of natural numbers do not have the same cardinal number.

The notion of cardinality, as now understood, was formulated by Georg Cantor, the originator of set theory, in 1874 – 1884.

In his professorial doctoral dissertation, On the Concept of Number ( 1886 ) and in his Philosophy of Arithmetic ( 1891 ), Husserl sought, by employing Brentano's descriptive psychology, to define the natural numbers in a way that advanced the methods and techniques of Karl Weierstrass, Richard Dedekind, Georg Cantor, Gottlob Frege, and other contemporary mathematicians.

Not long after that, in 1883, Georg Cantor, who attended lectures by Weierstrass, published examples of subsets of the real line known as Cantor sets, which had unusual properties and are now recognized as fractals.

# REDIRECT Georg Cantor

Georg Ferdinand Ludwig Philipp Cantor ( ; ; – January 6, 1918 ) was a German mathematician, best known as the inventor of set theory, which has become a fundamental theory in mathematics.

Some notable mathematicians include Archimedes of Syracuse, Leonhard Euler, Carl Gauss, Johann Bernoulli, Jacob Bernoulli, Aryabhata, Brahmagupta, Bhaskara II, Nilakantha Somayaji, Omar Khayyám, Muhammad ibn Mūsā al-Khwārizmī, Bernhard Riemann, Gottfried Leibniz, Andrey Kolmogorov, Euclid of Alexandria, Jules Henri Poincaré, Srinivasa Ramanujan, Alexander Grothendieck, David Hilbert, Alan Turing, von Neumann, Kurt Gödel, Joseph-Louis Lagrange, Georg Cantor, William Rowan Hamilton, Carl Jacobi, Évariste Galois, Nikolay Lobachevsky, Rene Descartes, Joseph Fourier, Pierre-Simon Laplace, Alonzo Church, Nikolay Bogolyubov and Pierre de Fermat.

In 1874, Georg Cantor proved that the algebraic numbers are countable and the real numbers are uncountable.

Georg Cantor was the first to propose the question of whether is equal to.

Georg Cantor considered the well-ordering theorem to be a " fundamental principle of thought.

* January 6 – Georg Cantor, German mathematician ( b. 1845 )

* March 3 – Georg Cantor, German mathematician ( d. 1918 )

* The novel White Light by mathematician / science fiction writer Rudy Rucker includes a hotel based on Hilbert's paradox, and where the protagonist of the story meets Georg Cantor.

— The paradox told as a humorous narrative, featuring a hotel owner and a building contractor based on the feuding 19th-century mathematicians Georg Cantor and Leopold Kronecker

Georg Cantor is the most significant mathematician who defended actual infinities, equating the Absolute Infinite with God.

Bernard Bolzano who introduced the notion of set ( in German: Menge ) and Georg Cantor who introduced set theory opposed the general attitude.

* Georg Cantor in E. Zermelo ( ed.

Under its founder and spiritual leader, Johann Georg Rapp ( 1757 – 1847 ); Frederick ( Reichert ) Rapp ( 1775 – 1834 ), his adopted son who managed its business affairs ; and their associates, the Society existed for one hundred years ; roughly from 1805 until 1905.

Johann Georg Rapp ( November 1, 1757 – August 7, 1847 ), also known as George Rapp, was the founder of the religious sect called Harmonists, Harmonites, Rappites, or the Harmony Society.

Walter Adolph Georg Gropius ( May 18, 1883 – July 5, 1969 ) was a German architect and founder of the Bauhaus School who, along with Ludwig Mies van der Rohe, Le Corbusier and Oscar Niemeyer, is widely regarded as one of the pioneering masters of modern architecture.

He was inspired by German scholar Barthold Georg Niebuhr ( 1776 – 1831 ), a founder of modern German historiography.

He later continued studying in Vienna with Georg Joseph Vogler, known as Abbé Vogler, founder of three important music schools ( in Mannheim, Stockholm, and Darmstadt ); another famous pupil of Vogler was Giacomo Meyerbeer, who became a close friend of Weber.

Julius Friedländer, the founder of an international music publishing house then adopted Georg and endowed him with a large fortune enabling him to become a scholar.

Tivoli's founder, Georg Carstensen ( b. 1812 – d. 1857 ), obtained a five-year charter to create Tivoli by telling King Christian VIII that " when the people are amusing themselves, they do not think about politics ".

* Georg Cantor ( 1845 – 1918 ), German mathematician, founder of set theory

Among the academic staff were Friedrich Menius, Professor of History ( the history of Livonia, the first scientific approach to Estonian folklore ); Sven Dimberg, Professor of Mathematics ( the first in the world to deliver lectures based on Newton ’ s theory ); Olaus Hermelin, Professor of Rhetoric and Poetry ; Lars Micrander, Professor of Medicine ( founder of balneology, and discoverer of natural mineral water springs ); Georg Mancelius, Professor of Theology ( author of the first Latvian-German dictionary in 1638 ).

* many sportsmen, including C. W. Alcock, founder of Test cricket and the FA Cup, Georg Hackenschmidt, Anglo-Russian professional wrestler.

Johann Georg Justus Perthes ( September 11, 1749, Rudolstadtin, Schwarzburg-Rudolstadt – May 2, 1816, Gotha, Saxe-Gotha-Altenburg ) was a German publisher and founder of the firm that bears his name ( Justus Perthes ).

Baron Ferdinand Friedrich Georg Ludwig von Wrangel (, Ferdinand Petrovich Vrangel ; – ) was a Russian explorer and seaman, Honorable Member of the Saint Petersburg Academy of Sciences, a founder of the Russian Geographic Society.

* Georg Sverdrup ( 1770-1850 ), founder of a Norwegian university library

* Georg Christian, Fürst von Lobkowicz was an Imperial Field marshal and founder of the Mělník-Lobkowicz branch.

Jean Georg Haffner (* 1777 in Colmar in Alsace, † 20 April 1830 in Danzig ) was a medical doctor and the founder of the first spa located in Sopot.

Georg Wertheim ( February 11, 1857, Stralsund – December 31, 1939, Berlin ) was a German merchant and founder of the popular Wertheim chain of department stores.

Iptingen was the birthplace of Johann Georg Rapp, the founder of the Harmony Society.

The foundation was initiated by Councillor Johann Georg Lori ( 1723-1787 ), the founder of the Bavarian Learned Society ( Bayerische Gelehrten Gesellschaft ).

Johann Georg Cotta ( 1631-1692 ), the founder of the

Johann Georg Rapp ( November 1, 1757 in Iptingen, Germany – August 7, 1847 in Economy, Pennsylvania ) was the founder of the religious sect called Harmonists, Harmonites, Rappites, or the Harmony Society.

The first was in the early 1900s by Georg Fredrik Johansson Karlin ( 1859-1939 ), founder of Kulturen, the Cultural Museum of Southern Sweden located in Lund.