Examples of using Cantor's in English and their translations into Bulgarian
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Hilbert described Cantor's work as.
Cantor's set theory proved to be a powerful new mathematical system.
Assumption of Cantor's diagonal argument.
I have been having a nosey around Megan Cantor's financials.
This is one of Cantor's friends planting the evidence.
The year 1874 was an important one in Cantor's personal life.
At Halle the direction of Cantor's research turned away from number theory and towards analysis.
He was keen to make the connections between Cantor's maths and his life.
He hoped to stay in Cantor's paradise and obtain proof that it stood on stable logical ground.
There was no treatment then for manic depression orindeed for the paranoia that often accompanied Cantor's attacks.
Then on 16 December 1899 Cantor's youngest son died.
Mittag-Leffler meant this as a kindness butit does show a lack of appreciation of the importance of Cantor's work.
Cantor's father had poor health and the move to Germany was to find a warmer climate than the harsh winters of St Petersburg.
But despite the Principia there was now the feeling that the logical maths had undone itself and it was Cantor's fault.
Cantor's continuum hypothesis and this is the effect that it has on him these are some pages from one of Gödel's workbooks and they all look like this.
But he found it difficult at first to discover a field in mathematics where he could really make his mark… Until he read about Cantor's continuum hypothesis.
A major event planned in Halle to mark Cantor's 70 th birthday in 1915 had to be cancelled because of the war, but a smaller event was held in his home.
But the question of"how?" turns out to be so complicated… that no one really solved it… until Cantor's proof that some infinities are bigger than other infinities.
Cantor's early work was not on the history of mathematics but he did write a short paper on Ramus, Stifel and Cardan which he presented to a scientific meeting in Bonn.
An 1872 meeting between Cantor and Richard Dedekind influenced Cantor's thinking and culminated in Cantor's 1874 paper.
A major paper on dimension which Cantor submitted to Crelle 's Journal in 1877 was treated with suspicion by Kronecker, and only published after Dedekind intervened on Cantor's behalf.
Dedekind published his definition of the real numbers by"Dedekind cuts" also in 1872 andin this paper Dedekind refers to Cantor's 1872 paper which Cantor had sent him.
He is also the author of the novel Cantor's Dilemma, in which he explores the ethics of modern scientific research through his protagonist, Dr. Cantor. .
A language in which programs are guaranteed to complete andhalt cannot compute the computable function which is produced by Cantor's diagonal argument on all computable functions in that language.
His long standing correspondence with Schwarz ended in 1880 as opposition to Cantor's ideas continued to grow and Schwarz no longer supported the direction that Cantor's work was going.
Just to prove that one plus one equals two and a large part of that proof revolves around the problems of the finite andthe infinite and the paradoxes that Cantor's work had thrown up.
Nowadays, the vast majority of mathematicians who are neither constructivists norfinitists accept Cantor's work on transfinite sets and arithmetic, recognizing it as a major paradigm shift.
Since a verification of Goldbach's conjecture up to 10000 had been done 40 years before,it is likely that this strange paper says more about Cantor's state of mind than it does about Goldbach's conjecture.
Recently, however, a better understanding of mental illness has meant that we can now be certain that Cantor's mathematical worries and his difficult relationships were greatly magnified by his depression but were not its cause(see for example and).
The correspondence between Mittag-Leffler and Cantor all but stopped shortly after this event and the flood of new ideas which had led to Cantor's rapid development of set theory over about 12 years seems to have almost stopped.