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.

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.

He came from a family that had emigrated to the Netherlands from Portugal, another branch of which had established itself in Russia, where Georg Cantor was born.

Many of the famous comic performers of vaudeville, radio and movies came from the same place and the same era, including Gallagher and Shean, George Burns, Eddie Cantor, George Jessel and The Marx Brothers.

Ethel Shutta ( pronounced " shoo-tay ") ( December 1, 1896 — February 5, 1976 ) was an American actress and singer, who came to prominence through her performances on Jack Benny's radio show, her role in the early Eddie Cantor musical Whoopee !, and her Broadway comeback in Follies at the age of 74.

When that series came to an end in 1930, he headed for New York and became a CBS staff announcer, working with Fred Allen, Phil Baker, Eddie Cantor, Eddy Duchin and Ed Wynn.

Born and raised in Buffalo, NY, Nile came from a musical family — his grandfather was a vaudeville pianist who played with Bill " Bojangles " Robinson and Eddie Cantor ; his uncles played boogie-woogie.

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.

It is undisputed that, by 1900, Cantor was aware of some of the paradoxes and did not believe that they discredited his theory.

The objections to his work were occasionally fierce: Poincaré referred to Cantor's ideas as a " grave disease " infecting the discipline of mathematics, and Kronecker's public opposition and personal attacks included describing Cantor as a " scientific charlatan ", a " renegade " and a " corrupter of youth.

In 1890, Cantor was instrumental in founding the Deutsche Mathematiker-Vereinigung and chaired its first meeting in Halle in 1891, where he first introduced his diagonal argument ; his reputation was strong enough, despite Kronecker's opposition to his work, to ensure he was elected as the first president of this society.

On September 19, Cantor Fitzgerald made a pledge to distribute 25 percent of the firm's profits for the next five years, and committed to paying for ten years of health care, for the benefit of the families of its 658 former Cantor Fitzgerald, eSpeed, and TradeSpark employees ( profits which would otherwise have been distributed to the Cantor Fitzgerald partners ).

They both postulated that if the stars in the universe were distributed in a hierarchical fractal cosmology ( e. g., similar to Cantor dust )— the average density of any region diminishes as the region considered increases — it would not be necessary to rely on the Big Bang theory to explain Olbers ' paradox.

Historian Norman Cantor who specialized in the medieval period, teaching and writing at Columbia and New York University, says in 1993: " It may be true that the Arabs had now fully extended their resources and they would not have conquered France, but their defeat ( at Tours ) in 732 put a stop to their advance to the north.

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.

The implications of the infinite void were revolutionary ; to have pursued them would have threatened the singular relationship of man and this natural world to God ( Cantor 2001 ); in it he treated theology mathematically.

In Waguespack and Cantor ( 1996 ), the authors point out that JIT would require a significant change in the supplier / refiner relationship, but the changes in inventories in the oil industry exhibit none of those tendencies.

Cantor was profiled on the program This Is Your Life, in which an unsuspecting person ( usually a celebrity ) would be surprised on live television by host Ralph Edwards, with a half-hour tribute.

In order to do this, Deutsch invents the notion of a CantGoTu environment ( named after Cantor, Gödel, and Turing ), using Cantor's diagonal argument to construct an ' impossible ' Virtual Reality which a physical VR generator would not be able to generate.

) As Cantor realized, this collection could not itself have a cardinality, as this would lead to a paradox of the Burali-Forti type.

It would become one of the best known, most iconic novelty records of the 1920s, and has been recorded by everyone from Eddie Cantor and The Happiness Boys to The Andrews Sisters and Spike Jones:

If one were to repeat the construction of Volterra's function with the ordinary measure-0 Cantor set C in place of the " fat " ( positive-measure ) Cantor set S, one would obtain a function with many similar properties, but the derivative would then be discontinuous on the measure-0 set C instead of the positive-measure set S, and so the resulting function would have an integrable derivative.

The most famous modern Coptic cantor is the late Cantor Mikhail Girgis El Batanouny, whose recordings have helped preserve and unify many ancient chants that otherwise would have been lost, however, they were recorded in Greco-Bohairic Pronunciation.

New athletic director Daryl Gross fired Pasqualoni on December 29, 2004, despite the fact that Syracuse's president, Nancy Cantor, publicly stated that Pasqualoni would be on the sidelines the next season.

Yet " Bradwardine and his Oxford colleagues did not quite make the breakthrough to modern science " ( Cantor 2001, p. 122 ).

'' My impassioned plea for civil rights created a landslide of correspondence and one sponsor even asked me to consider replacing the Eddie Cantor comedy hour on a permanent basis.

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 probability measure on Cantor space, sometimes called the fair-coin measure, is defined so that for any binary string x the set of sequences that begin with x has measure 2 < sup >-| x |</ sup >.

This implies that for each natural number n, the set of sequences f in Cantor space such that f ( n )

On September 2, 2004, Cantor filed a civil lawsuit against the Kingdom of Saudi Arabia for allegedly providing money to the hijackers and Al Qaeda, one of a number of organizations to do so.

In 1904, the Royal Society awarded Cantor its Sylvester Medal, the highest honor it can confer for work in mathematics.

Kronecker, who headed mathematics at Berlin until his death in 1891, became increasingly uncomfortable with the prospect of having Cantor as a colleague, perceiving him as a " corrupter of youth " for teaching his ideas to a younger generation of mathematicians.

Soon after that second hospitalization, Cantor's youngest son Rudolph died suddenly ( while Cantor was delivering a lecture on his views on Baconian theory and William Shakespeare ), and this tragedy drained Cantor of much of his passion for mathematics.

Cantor suffered from chronic depression for the rest of his life, for which he was excused from teaching on several occasions and repeatedly confined in various sanatoria.

Before Cantor, there were only finite sets ( which are easy to understand ) and " the infinite " ( which was considered a topic for philosophical, rather than mathematical, discussion ).

By proving that there are ( infinitely ) many possible sizes for infinite sets, Cantor established that set theory was not trivial, and it needed to be studied.

In one of his earliest papers, Cantor proved that the set of real numbers is " more numerous " than the set of natural numbers ; this showed, for the first time, that there exist infinite sets of different sizes.

One of the most vigorous and fruitful branches of mathematics [...] a paradise created by Cantor from which nobody shall ever expel us [...] the most admirable blossom of the mathematical mind and altogether one of the outstanding achievements of man's purely intellectual activity.

Paul Cantor, a literary critic and economic theorist, who has taught college courses revolving around the " Gnomes " episode, has described it as " the most fully developed defense of capitalism " ever produced by the show.

Norman F. Cantor often highlighted his status as a student of Strayer's, but several of Strayer's other pupils-who wish to remain anonymous for personal and professional reasons-have expressed their doubt that Strayer ever acknowledged Cantor as his student or that Cantor had any formal affiliation with him at all.

* April 13 – Johann Sebastian Bach is given permission to leave Köthen to take up his new appointment as Cantor and Musical Director of the Thomaskirche, Leipzig ; to obtain the post, he had beaten off opposition from several prominent musicians, including Georg Friedrich Kauffmann.