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Cantor and was
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.
It is undisputed that, by 1900, Cantor was aware of some of the paradoxes and did not believe that they discredited his theory.
The term was originated by Georg Cantor.
It was discovered in 1874 by Henry John Stephen Smith and introduced by German mathematician Georg Cantor in 1883.
The notion of cardinality, as now understood, was formulated by Georg Cantor, the originator of set theory, in 1874 – 1884.
Headquartered in Midtown Manhattan, New York City, Cantor Fitzgerald was formerly based in the World Trade Center and was the company hardest hit by the September 11, 2001 attacks, which killed all 658 of its employees who were in the office at the time ( out of 960 who were based there ).
Seconds after Cantor's building was struck by the plane, a Goldman Sachs server issued an alert saying that its trading system had gone offline because it wasn't able to connect with a Cantor server.
Cantor was the first company to receive approval from the Nevada Gaming Commission to operate mobile gaming devices.
His feature film debut was in producer Samuel Goldwyn's Technicolor 1944 comedy Up in Arms, a remake of Goldwyn's Eddie Cantor comedy Whoopee!
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.
Cantor was born in 1845 in the western merchant colony in Saint Petersburg, Russia, and brought up in the city until he was eleven.
Cantor was able to support a family despite modest academic pay, thanks to his inheritance from his father.
Cantor was promoted to Extraordinary Professor in 1872 and made full Professor in 1879.
To attain the latter rank at the age of 34 was a notable accomplishment, but Cantor desired a chair at a more prestigious university, in particular at Berlin, at that time the leading German university.
Friedrich Wangerin was eventually appointed, but he was never close to Cantor.
But in 1885, Mittag-Leffler was concerned about the philosophical nature and new terminology in a paper Cantor had submitted to Acta.
He asked Cantor to withdraw the paper from Acta while it was in proof, writing that it was "... about one hundred years too soon.
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.

Cantor and again
In addition to film and radio, Cantor recorded for Hit of the Week Records, then again for Columbia, for Banner and Decca and various small labels.
Berkeley's top shot technique ( the kaleidoscope again, this time shot from overhead ) appeared seminally in the Cantor films, and also the 1932 Universal programmer Night World ( where he choreographed the number " Who's Your Little Who-Zis ?").
Paul A. Cantor, the author of the book Gilligan Unbound: Pop Culture in the Age of Globalization, said the " once again Brian K. Roberts proves his genius with ' Brush with Greatness ' in a superb work where Marge cultivates her wonderful artistic side.

Cantor and 1903
David Horowitz ( 1903 – 2002 ) was the founder of the United Israel World Union and one of eight children of Cantor Aaron and Bertha Horowitz whose family immigrated to the United States in 1914.

Cantor and .
'' 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.
In this sense almost all reals are not a member of the Cantor set even though the Cantor set is uncountable.
* 1829 – Moritz Cantor, German mathematician ( d. 1920 )
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.
Cantor equated the Absolute Infinite with God.
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.
In mathematics, the continuum hypothesis ( abbreviated CH ) is a hypothesis, advanced by Georg Cantor in 1878, about the possible sizes of infinite sets.
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.
* The Cantor set is compact.
In fact, every compact metric space is a continuous image of the Cantor set.
* Since the p-adic integers are homeomorphic to the Cantor set, they form a compact set.
In mathematics, the Cantor set is a set of points lying on a single line segment that has a number of remarkable and deep properties.
Through consideration of it, Cantor and others helped lay the foundations of modern general topology.
Although Cantor himself defined the set in a general, abstract way, the most common modern construction is the Cantor ternary set, built by removing the middle thirds of a line segment.
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.
The Cantor ternary set is created by repeatedly deleting the open middle thirds of a set of line segments.
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.

was and again
She was carrying a quirt, and she started to raise it, then let it fall again and dangle from her wrist.
He was losing patience again.
The coyote was calling again, and he hoped that this time there would be no other sounds to interrupt it.
When they reached their neighbor's house, Pamela said a few polite words to Grace and kissed Melissa lightly on the forehead, the impulse prompted by a stray thought -- of the type to which she was frequently subject these days -- that they might never see one another again.
Once again, Tom Horn was the first and most likely suspect, and he was brought in for questioning immediately.
By now Curt was seeing clearly again.
But his only hat was something else again.
Greg's mission was the last to leave, and as he circled the ships off Tacloban he saw the clouds were dropping down again.
I was again in motion and at a speed which belied the truck's similarity to Senor X's Ford turtle.
Just as I got to my knees, there was again the sound of the fence stretching, and I had time only to start taking my kneeling posture seriously.
The Indian was again raising his bottle, but to my astonished relief -- probably only a fraction of Johnson's -- the bottle this time went to the Indian's lips.
Then the darkness thinned, and there was light again, and then bright sunlight.
Ramey heard the words again inside, weakened, the way moving water sounds through a grove of trees, until he was not sure whether it was sound or light-headedness pressing in his ears.
The man seemed to sink a little as Ramey brought the tire iron down on his shoulder and it seemed that the blonde head was turning as he hit the man again, with his fist.
She was sitting on the edge of the bed again, back in the same position where the snake had found her.
He had his voice under control again: no one became aware that he was terrified by what had just happened to him.
Now it did not occur to him even to wonder whether it was wise for Robinson to dive again: Rob was his boy, the kid he had rescued from the streets, the object of his pride.
While she was struggling to get her skirt down and get on her feet again, Jack ran over, offered her his hand and said, `` Gosh, I'm sorry, Miss Langford.
As he talked about himself, time and again stuffing and dragging on his pipe, Steinberg began to relax and the initial hurried feeling grew faint and was dispelled.
A wheel squeaked on a hub, was still, and squeaked again.
After his passage, the street was empty again.
Years ago this was true, but with the replacement of wires or runners by radio and radar ( and perhaps television ), these restrictions have disappeared and now again too much is heard.

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