What is georg cantor famous for
Georg Cantor
Georg Cantor (3 March - 6 January [1]) was an important German mathematician.
He founded set theory and worked on transfinite numbers.
Life
[change | change source]Cantor was born in St Petersburg, Russia. His father had a Jewish-Danish, his mother an Austrian background. His father was a Protestant. He was a rich merchant.
Georg cantor biography wikipedia death Tools Tools. A Wangerin, Georg Cantor, Leopoldina 54 , 10 - 13 ; Eine Verallgemeinerung war der Satz von Cantor. He had proved that the real numbers were not countable by December and published this in a paper inHis mother was a Roman Catholic. She was very artistic. When his father became ill in the family moved to Frankfurt. Georg went to private schools and then to gymnasien in Darmstadt and Wiesbaden. He soon showed that he was brilliant at maths. His father wanted him to be an engineer but Georg persuaded him to let him study mathematics.
He spent a short time studying at the University of Zürich, but soon went to Berlin where he studied physics, philosophy and mathematics. He was very influenced by the teaching of Weierstrass, Kummer and Kronecker, who were later to become his enemies.
He wrote a doctoral thesis in which he said that asking questions was more important than finding the answers. He was talking about a problem that Carl Friedrich Gauss had left unanswered.
Cantor taught for a time at a girls’ school in Berlin, then he became a lecturer in Halle where he remained for the rest of his life.
He became full professor there in Cantor worked on the theory of numbers, continuum hypothesis and then on trigonometric series, starting with ideas that had been developed by Bernhard Riemann on complex variables. He sent a paper on algebraic numbers to be published in Crelle's Journal, but Kronecker was against it.
Isaac newton biography He died of a heart attack. His last major papers on set theory appeared in and , again in Mathematische Annalen under Klein 's editorship, and are fine surveys of transfinite arithmetic. We only support vendors that we use ourselves in our home. Cantor attended lectures by Weierstrass , Kummer and Kronecker.However, Dedekind supported Cantor, and eventually the article was published. This article showed that Cantor was a great mathematician.[2]
When his father died in he had enough money to build a house for his wife and five children.
Cantor thought that infinite numbers really existed, and used ideas from ancient and medievalphilosophy to prove his point.
Kronecker disagreed with him.
Georg cantor biography wikipedia images A major paper on dimension which Cantor submitted to Crelle 's Journal in was treated with suspicion by Kronecker , and only published after Dedekind intervened on Cantor's behalf. Februar jul. His father had a Jewish-Danish, his mother an Austrian background. He was unable to prove this hypothesis, and it remains one of the most important open questions in mathematics.He thought that only integers existed. Kronecker said that “God made integers and all the rest is the work of man”. Kronecker stopped Cantor from being offered a professorship in Berlin, a position he ought to have had since he was one of the greatest mathematicians in the world. Cantor stayed at Halle and continued to work into his old age, although he often suffered from fits of depression.
He often lost his temper, but he was also a very kind man.
Georg cantor biography wikipedia This development of transfinite numbers allowed Cantor to formalize the notion of different sizes of infinity and establish the basic framework for modern set theory. Extra stress was put on Cantor with the death of his mother in October and the death of his younger brother in January It was certainly a severe blow to Cantor when Dedekind declined the offer in the early , and the blow was only made worse by Heinrich Weber and then Mertens declining too. It studies sets of equal power, i.He always gave encouragement to young mathematicians with new ideas. He did not want them to suffer like he had because of older mathematicians who felt threatened by new ideas.[3] A lot of Cantor’s work led eventually to what is called “new mathematics” in schools today.
Cantor died in a mental hospital in Halle on 6 January