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.

Georg Cantor, the founder of set theory, gave the following definition of a set at the beginning of his Beiträge zur Begründung der transfiniten Mengenlehre:

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.

In 1507 he was sent to the Latin school at Pforzheim, where the rector, Georg Simler of Wimpfen, introduced him to the Latin and Greek poets and Aristotle.

This biogenic theory was first introduced by Georg Agricola in 1556 and later by Mikhail Lomonosov in the 18th century.

Georg Johannesen's first publication Dikt ( Poetry ) in 1959 introduced a new interest in political and social values, that had not been particularly evident in the 1950s.

The first German machines were introduced around 1954 and were produced by DWM ( Deutsche Waggon-und Maschinenfabrik ) and GWS ( Georg Wiegandt und Söhne ), both of Berlin, Germany.

After J. J. Becher and Georg Ernst Stahl introduced the phlogiston theory of combustion in the 17th century, phlogiston was thought to be the substance of heat.

To avoid these potential pitfalls, Georg von Békésy introduced the staircase procedure in 1960 in his study of auditory perception.

One was The Problem of the Continuation School ( 1914 ), with Robert Hall Best of the Best & Lloyd lighting company of Handsworth, and concerned industrial training ; he made also a translation of a related work of Georg Kerchensteiner ( who had introduced him to Best ), appearing as The Schools and the Nation ( 1914 ).

Thus Bishop Georg von Polenz of Pomesania and Samland, who had converted to Lutheranism in 1523, took over and introduced the Protestant Reformation also in the ducal two thirds of Warmia diocese, territorially surrounding the actual prince-episcopal third.

As fellow strongman Georg Hackenschmidt established himself as Europe ’ s premier grappling star, Cyganiewicz was thus attracted to a career in wrestling as well ; and he was subsequently introduced to the professional game by well-known Polish grappler Władysław Pytlasiński, who eventually became his mentor.

Among others, Cologne-based rivals Georg Loos and Kremer Racing entered 935 in the 1977 Deutsche Rennsport Meisterschaft which introduced the Group 5 rules.

Max Weber and Georg Simmel introduced interpretive understanding ( Verstehen ) into sociology, where it has come to mean a systematic interpretive process in which an outside observer of a culture ( such as an anthropologist or sociologist ) relates to an indigenous people or sub-cultural group on their own terms and from their own point-of-view, rather than interpreting them in terms of his or her own culture.

The concept was first introduced by Georg Cantor in 1872 and he developed set theory in large part to study derived sets on the real line.

On the way to Leipzig, he met Johann Sebastian Bach at Weimar and, once in Leipzig, was introduced to Georg Philipp Telemann.

His father-in-law, Johann Georg Sulzer, introduced him to members of the Prussian court.

The 2 mm Kolibri ( also known as the 2. 7 mm Kolibri Car Pistol or 2. 7 × 9 mm Kolibri ) is the smallest commercially available centerfire cartridge, patented in 1910 and introduced in 1914 by Franz Pfannl, an Austrian watchmaker, with financial support from Georg Grabner.

The plants of this genus were described and introduced to Europeans by Georg Eberhard Rumphius.

He introduced philosophical notion, for example Georg Wilhelm Friedrich Hegel's, into literary criticism.

As an independent university subject, German studies was introduced at the beginning of the nineteenth century by Georg Friedrich Benecke, the Brothers Grimm, and Karl Lachmann.

As a student in economics at the University of Copenhagen in 1882, he was one of four students to publish the single issue of the literary periodical Verðandi, which introduced to Iceland the Modern Breakthrough expounded by Georg Brandes.