However, the term naive set theory is also used in some literature to refer to the set theories studied by Frege and Cantor, rather than to the informal counterparts of modern axiomatic set theory ; care is required to tell which sense is intended.

Cantor also began another important correspondence, with Gösta Mittag-Leffler in Sweden, and soon began to publish in Mittag-Leffler's journal Acta Mathematica.

The US philosopher Charles Sanders Peirce praised Cantor's set theory, and, following public lectures delivered by Cantor at the first International Congress of Mathematicians, held in Zurich in 1897, Hurwitz and Hadamard also both expressed their admiration.

Between 1870 and 1872, Cantor published more papers on trigonometric series, and also a paper defining irrational numbers as convergent sequences of rational numbers.

Cantor also published an erroneous " proof " of the inconsistency of infinitesimals.

Several hit songs were also recorded during the mahjong fad, most notably " Since Ma is Playing Mah Jong " by Eddie Cantor.

The Stanford trustees also oversee the Stanford Research Park, the Stanford Shopping Center, the Cantor Center for Visual Arts, Stanford University Medical Center, and many associated medical facilities ( including the Lucile Packard Children's Hospital ).

In the foundations of mathematics, Russell's paradox ( also known as Russell's antinomy ), discovered by Bertrand Russell in 1901, showed that the naive set theory created by Georg Cantor leads to a contradiction.

Cantor's diagonal argument, also called the diagonalisation argument, the diagonal slash argument or the diagonal method, was published in 1891 by Georg Cantor as a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers.

A standard example of a singular function is the Cantor function, which is sometimes called the devil's staircase ( a term also used for singular functions in general ).

The song also was featured in the movie The Eddie Cantor Story and was the theme of the television series of the same name in 1961 – 1962.

Cantor also recorded ODJB's " Palesteena ( Lena from Palesteena )".

That same year she also appeared on screen with Eddie Cantor in Kid Millions, but it was her return to Broadway that would establish her as a major star and cement her image as a tough girl with a soft heart.

See also: Cantor in Reform Judaism.

" Shakespeare scholar Paul A. Cantor argues that this association is appropriate — the warlike Klingons find their literary matches in the characters Othello, Mark Antony, and Macbeth — but that it also reinforces a claim that the end of the Cold War means the end of heroic literature such as Shakespeare's.

The theorem is also known as the Schroeder – Bernstein theorem, the Cantor – Bernstein theorem, or the Cantor – Schroeder – Bernstein theorem.

She also wrote and directed an episode of Women for Showtime Cable Network, as well as Sax Cantor Riff, one of HBO ’ s Subway Stories for producers Jonathan Demme and Rosie Perez.

Note that we can also define the arithmetic hierarchy of subsets of the Cantor and Baire spaces relative to some set of integers.

Cantor also discovered and helped guide the career of singer Dinah Shore, first featuring her on his radio show in 1940, as well as other performers, including Deanna Durbin, Bobby Breen and Eddie Fisher.

Cantor was also a composer, with his most famous song seldom attributed to him.

Cantor also bounced back between movies and on radio.

Cantor also turned the role down ( so it went to Al Jolson ), but he became a leading Hollywood star in 1930 with the film version of Whoopee !, shot in two-color Technicolor.

On May 25, 1944, pioneer television station WPTZ ( now KYW-TV ) in Philadelphia presented a special telecast featuring Eddie Cantor, which was also fed to the NBC television station in New York City, WNBT ( now WNBC ).

Cantor himself only mentioned the ternary construction in passing, as an example of a more general idea, that of a perfect set that is nowhere dense.

Cantor has said the fact that the gnomes themselves do not understand their own business plan or why they steal the underwear could represent the idea that businessmen themselves often lack the economic knowledge needed to explain their activity and profits to the public.

Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.

Galea left the Freestylers shortly after the release of the Freestyle EP, and Cantor and Harvey formed an 11-piece band ( initially an idea of their record label, Freskanova ).

Together with producing partner Arthur Cantor and Washington Post Critic Emeritus Richard L. Coe, they presented a plan to the first lady of the American theatre and native Washingtonian, Helen Hayes, who wholeheartedly embraced the idea of her namesake awards honoring theatrical excellence in her hometown.

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.

During his honeymoon in the Harz mountains, Cantor spent much time in mathematical discussions with Richard Dedekind, whom he had met two years earlier while on Swiss holiday.

The first three, due to Georg Cantor / Charles Méray, Richard Dedekind and Karl Weierstrass / Otto Stolz all occurred within a few years of each other.

Bolzano's posthumously published work Paradoxien des Unendlichen ( The Paradoxes of the Infinite ) was greatly admired by many of the eminent logicians who came after him, including Charles Sanders Peirce, Georg Cantor, and Richard Dedekind.

During its heyday, the Cotton Club served as a hip meeting spot featuring regular " Celebrity Nights " on Sundays which featured celebrity guests such as Jimmy Durante, George Gershwin, Sophie Tucker, Paul Robeson, Al Jolson, Mae West, Richard Rodgers, Irving Berlin, Eddie Cantor, Fanny Brice, Langston Hughes, Judy Garland, Moss Hart, and New York City Mayor Jimmy Walker, among others.

Mistakes and philosophical weaknesses in reasoning about infinitesimal numbers in the work of Gottfried Leibniz, Johann Bernoulli, Leonhard Euler, Augustin-Louis Cauchy, and others were the reason that they were originally abandoned for the more cumbersome real number-based arguments developed by Georg Cantor, Richard Dedekind, and Karl Weierstrass, which were perceived as being more rigorous by Weierstrass's followers.

The play Pinocchio, from the book by Jerome Coopersmith, was produced by Arthur Cantor, and performed by puppeteers Peter B Baird, Pady Blackwood, Randy Carfagno, Larry Engler, William Tost and Richard Weber.

Of a totally different orientation < nowiki > the " Old Formalist School " of Richard Dedekind | Dedekind, Georg Cantor | Cantor, Giuseppe Peano | Peano, Ernst Zermelo | Zermelo, and Louis Couturat | Couturat, etc .< nowiki ></ nowiki > was the Pre-Intuitionist School, mainly led by Poincaré, Borel and Lebesgue.

That the algebra of the real numbers can be employed to yield results about the linear continuum of geometry relies on the Cantor – Dedekind axiom.

In 1882, the mathematical correspondence between Cantor and Dedekind came to an end, apparently as a result of Dedekind's declining the chair at Halle.

At that Congress, Cantor renewed his friendship and correspondence with Dedekind.

Dedekind, whom Cantor befriended in 1872, cited this paper later that year, in the paper where he first set out his celebrated definition of real numbers by Dedekind cuts.

Owing to the gigantic simultaneous efforts of Frege, Dedekind and Cantor, the infinite was set on a throne and revelled in its total triumph.

As Cantor and Dedekind were developing more abstract versions of Stevin's continuum, Paul du Bois-Reymond wrote a series of papers on infinitesimal-enriched continua based on growth rates of functions.

In the second half of the nineteenth century, the calculus was reformulated by Augustin-Louis Cauchy, Bernard Bolzano, Karl Weierstrass, Cantor, Dedekind, and others using the ( ε, δ )- definition of limit and set theory.

Dedekind, Riemann, Moritz Cantor and Alfred Enneper, although they had all already earned their PhDs, attended Dirichlet's classes to study with him.

* the various ( but equivalent ) constructions of the real numbers by Dedekind and Cantor resulting in the modern axiomatic definition of the real number field ;

There are also papers on Dedekind, Cantor, and Russell.

Given the Cantor – Dedekind axiom, this algorithm can be regarded as an algorithm to decide the truth of any statement in Euclidean geometry.

In mathematical logic, the phrase Cantor – Dedekind axiom has been used to describe the thesis that the real numbers are order-isomorphic to the linear continuum of geometry.