“Thou shalt find his fruits after many days” Cantor’s works in Russia Galina Sinkevich Saint Petersburg State University of Architecture and Civil Engineering Vtoraja Krasnoarmejskaja ul. 4, St. Petersburg, 190005, Russia [email protected]

Georg Woldemar Cantor Abraham Meyer(?, Copenhagen-1801, Saint-Petersburg), an elderly merchant from Copenhagen On January 21, 1800, a decree was issued, "His Imperial Majesty has highly deigned to hire the elderly Copenhagen merchant Meyer Abraham, residing at present here in St. Petersburg, his children (1814, Copenhagen – 1863, Heidelberg), Relatives on the father's side (died in 1801), great grandfather of the mathematician , lived in St. Petersburg and was Hartwig Meyer served as a musician till the year of 1828. He died in 1867. Anastasia Grimm, the Osip and Hartwig Meyer, not employed anywhere, for the service in His Majesty's Theatres’ Dmitry Ivanovich Meyer, professor of law, the creator of Russian Civil Law. • Dauben refers to Georg Woldemar Cantor’s aunt, who married the father of Georg Cantor, engaged in meeting the ships that delivered his merchandise to him. directorate as musicians, at an annual income of five hundred roubles for each of them". daughter of Abraham Joseph (Osip) Grimm, a violinist, in Petersburg. That was her merchant and stockbroker. In August, 1799, a Danish galeot named "Di Frau Maria" was at roadster near Kronstadt. Dmitry Meyer (1819–1856) brought fame to the family of Johann Hartwig. He was second marriage. Initially, having arrived from Copenhagen, called the farther of Russian Civil Law. Meyer, the aunt of Georg • In XVII–XVIII centuries, • On January 6, 1896, Georg Cantor Woldemar Cantor. she adopted orthodoxy, under the name of Anastasia • It is known that his mother was from merchants and specialists in the wrote to Paul Tannery: "My late (Nastasya) Mikhailova, she got married, and then she became Meyers’s family, and that he was the a widow. For the second time she married Osip Grimm, a cousin of Dmitry Meyer, the son of various areas used to willingly farther Georg Woldemar Cantor, violinist, in 1809. On November 3, 1809, their church Hartwig. Since the age of 19 he move to Petersburg. There was a who died in Germany in 1863, was wedding ceremony took place in Sergiyevsky cathedral. positioned himself in Petersburg as need in military people, seamen, a child when he moved with his "Kapellmeister of His Excellency the Honourable Minister of merchant and stockbroker. In War Count Alexey Andreevich Arakcheev, Osip Grimm being Petersburg, Georg Cantor-father lived engineers, architects, medical mother to St. Petersburg, and he under Catholic law without changing the same, is married to in Vasilyevskiy Island, near to the doctors, musicians, painters, was immediately christened as baptized in holy christening from Jewish named Anastasia Stock exchange. Starting from 1835, Michailova, betrothed under the order of St. Petersburg Georg Woldemar Cantor signed up to craftsmen. Many Danes came to Lutheran. But he was born in Ecclesiastical Consistory under the No. 3115 in Sergiyevsky become one of Villmanstrand stay here. They took up their Copenhagen (I don’t know the year of All Artillery Cathedral, on November 3, 1809, the merchants, so Georg Woldemar Cantor residences in Vasilyevsky Island, in for sure, it was somewhere between bridegroom in the first, and the bride in the second marriage" . became a citizen of the Russian The fact that Osip Grimm bequeathed to Georg Woldemar Empire. In 1837 his address was the lines that were nearer to the 1810 and 1815), he was born from Cantor, "Villmanstrand and temporary Petersburg merchant, indicated in the list of stockbrokers: Stock Exchange. Jewish parents who belonged there Yegor Yakovlev, the son of Cantor", by his last will signed on Cantor Yegor. to a Portugal Jewish community, January 30, 1854, also witnessed to their close relations. and therefore, apparently, of Hispanic-Portugal origin“.

Maria Moravek. Czech family of courer maitre d’hôtel Leopold Moravek from Vienn lived in Petersburg since 1787; among their eight children Franz Boehm was the teacher of many well-known musicians, – among them were the composers M.I. Relatives on the mother's side Jozeph Boehm and Franz Boehm were their daughters Maria, born in 1795, and Sophia born in 1798. The family was well-to-do, the children were well-bred, and Maria was a talented violinist. She played so good that since the age of 17 she started to concerze. The war against Napoleon was over, and young Maria Glinka, A.N. Verstovskiy, A.F. Lvov, and even the members of the tsar’s family. Glinka wrote a solo for Maria Cantor-Boehm Moravek placed an ad in a newspaper: "Damsel Maria Moravek has the honour to inform that she will perform in vocal and instrumental concerto grosso on December 18, h. a., in the Philharmonic large hall, in which concerto she will play violin", and she leased the large hall. Apparently, the Boehm in 1836 in the opera "Ivan Susanin“. In the Petersburg publications there were many enthusiastic (1819, St.Petersburg- • Franz Boehm, the first violinist of • Joseph Boehm. Joseph became a concerto had a success, because next year she performed in two concertos, and in February, 1814, she performed together with Franciscus reviews on the concertos of Boehm. V.F. Odoevskiy loved his art very much, and called him the best of Imperial theatres in Petersburg. In a soloist of Royal capella in Vienna, Boehm, and on July 8, 1814, she married him. 1896, Berlin), the mother Hungarian city of Pest, in the family of professor of Vienna conservatoire, he A record exists in the parish register of Saint Catherine’s in St. Petersburg: "Franciscus Boehm from Pest, Hungary, the son of violinists, and he called the Boehm’s fiddlestick "Silk bow of Cupid". Neither her tender age, nor the birth Michaelis Boehm and Anna wrote pieces for violin. He is reputed Michaelis and Anna nee Dorfmeister makes a match with damsel Maria Moravek, the daughter of Leopold and Anna nee Mako Grosentes.” of her children impeded Maria Boehm performing in yearly concertos during the fast. She performed of Georg Cantor Dorfmeister (Michaelis Böhm & Anna to be the founder of Vienna violin nee Dorfmeister), two sons were born, school, among his students were such together with her husband on May 3, 1822. In May of 1823 Maria died of breast disease. She was 28 years Maria Boehm, the daughter of Franz Franz in 1788, and Joseph in 1795. well-known violinists as J. Joachim, old. Franz Boehm was left with his four children – Adolf, Anna, Maria and Sophia. He continued with his and Maria, was a child of three years Both of them became violinists, Ya. Dont, E. Rappoldi, E. Remenyi serving as the first concerto performer in the Imperial theatres, he played in an orchestra and gave old when her mother died. Sophia however, not in their original and his nephew from Petersburg, Moravek, the sister of Maria homeland, but in other cities – Franz Ludwig Boehm, subsequently concertos. The second marriage of Franz Boehm was with Sophia, the Maria’s sister, in 1824 (1798–1866). That marriage gave three children: Ludwig, Julia and Maximilian. Moravek, who became the wife of in Petersburg and Joseph in Vienna. professor of Petersburg conservatoire. Franz one year later, committed Franz, Joseph and Maria Moravek Joseph Boehm was close to F. For over 30 years, Boehm was the first soloist of Petersburg. Franz Boehm died on February 16, at the age were taught the violin by Pierre Rode. Schubert and L. van Beethoven, took herself to support the children. The part in author's concert of Schubert; of 57, of the "suffering from his nerves’ weakening". The notification about his death was placed in a family lived near to Theatre square, Beethoven entrusted him with newspaper "The first performer of concertos in the Imperial theatres, Mr. Franz Boehm, who belonged to large families of actors and performance of his last quartets. the number of the most notable virtuosos of violin, had died lately, to the common regret of all the people musicians lived around. Together, who knew him, and the numerous admirers of his extraordinary gift". He was buried in Smolenskoe they arranged feasts and home cemetery in the city of Petersburg. concertos for children.

One day, a colleague of Franz Boehm visited their home, Georg Woldemar Cantor was Lutheran, and Maria Boehm was Catholic. Georg Ferdinand Ludwig Philipp Cantor Georg was the first long-awaited child, who was born in the third year after the marriage of his also a violinist of the Imperial orchestra, Lutheran, Dane, was born in St. Petersburg on March, 3 parents. His father wrote the following in 1851: "The elder one, seven-year-old, was named Georg (February, 19 in the old style), 1845, in Ferdinand Ludwig Philipp, and he was gifted by the nature, with an aspiration for order, which Gartvig Meyer, who lived not far from their residence. His The church wedding ceremony took place on April Therefore, on April 22, 1842, in Saint Catherine’s Catholic Church (where Maria’s the family of Georg Woldemar Cantor prevailed upon any other aspirations, and he was sanguine person in nature". parents were married in 1814) another wedding ceremony according to Catholic rite took 21, 1842, probably, in Saint Catherine’s Lutheran place: "Georg Woldemar Cantor, merchant from Villmanstrand, Lutheran, 28 years old, and Maria Cantor-Boehm. The family nephew was with him, a young educated merchant from and mademoiselle Maria Boehm, daughter of Franciscus Boehm, 22 years old". A Church in the Bolshoy avenue of Vasilyevsky Island, signature is also available on the document, which could be read, to some degree of lived in the Vasilyevskiy Island, in the Copenhagen, Georg Woldemar Cantor. Perhaps it was one No. 1. (Leonard Euler also visited this church, and confidence, as ‘Jakob Cantor’ (Georg Voldemar’s father). Hence, we can establish the year of birth of Georg Woldemar Cantor – 1814. (The same year is written on his 11th line. of such home concerts, where young people, Georg probably, Georg Cantor was christened there). gravestone). Woldemar Cantor, a well-educated merchant, and Maria Anna Boehm, a charming violinist, got acquainted. Maria and Georg seemed to like each other, and then they were married in 1842. She was Catholic, and he was Lutheran.

When Georg was eight, he and his brother were sent to study in St. In 1856 Cantor’s By that time the family was reach already. In 1871, after reunification Petri-Schule (Nevsky prospect, No. 22), the Principal German family left Petersburg of Germany and issuance of Reichsmarks (Deutschemarks), their specialized school under St. Peter's Lutheran Church. for Germany. fortune added up to more than half a million. Georg’s farther wanted That was due to changes in economic situation in Russia, and due to illness of Georg Woldemar Cantor, tuberculosis. him to be an engineer, however, the choice of the son was Probably, Georg Woldemar was stunned by a premature death of tuberculosis of his beloved cousin, Dmitry Meyer. In the mathematics, and he entered the University of Zürich to study the newspaper “St. Peterburgische Zeitung” dated 15(17) of May, 1856, in the list of discipline. Georg Woldemar Cantor died in 1863, in Heidelberg. Maria those leaving for abroad: "Georg Cantor, Villmanstrand merchant, with his wife Maria Cantor, and their under-age children: Cantor died in 1896, in Berlin. Georg, Ludwig, Konstantin and Sophia, with Laura Zundshroem, Swedish citizen, residing at the address of Bolshaya Cantor recalled his childhood in Petersburg with warmth. In 1894 he Konyushennaya, in Zhadimirovsky’s house, No. 1". wrote in one of his letters: "My first wonderful 11 years spent in that Georg Woldemar did not plan to depart forever; - he took a leave for a year. beautiful city on the Neva River, unfortunately, would never recur“. However, their removal proved to be final.

Cantor’s house in Halle

The Fate of Russian Translations of Odessa. 1892. I.Y. Timchenko Odessa. 1896. S.O. Shatunovsky Moscow. 1900. B.K. Mlodzeevsky Moscow. 1904. P.A. Florensky • Samuil Osipovich Shatunovsky (1859-1929)has • In Moscow University the Theory of Real Variable Functions Cantor demonstrated an amazing scientific undersense choosing • Pavel Alexandrovich Florensky (1882–1937), a prominent philosopher works to be translated. He was the first to translate was read by Boleslav Kornelievich Mlodzeevsky (1858–1923). • We found the first references (1892) to Cantor’s works in Owing to the theory of sets, the course of Mathematics and theologian and priest later shot dead, was from 1900 to 1904 a student of Dedekind’s “Stetigkeit und irrationale Zahlen” (written by the Department of Mathematics of Moscow University. In the autumn term Russia in works of Ivan Y. Timchenko (1863–1939). Dedekind in 1872 and translated by Shatunovsky in 1894) Theory of Functions in the first place was rearranged on other From 1872 to 1897 Cantor wrote his basic works Timchenko chose historical analysis of development of [Dedekind, 1894] and Cantor’s “Ueber eine Eigenschaft basis. Mlodzeevsky used the course of Ulisse Dini as a base. of academic year1902/03, he attended a course of Mlodzeevsky’s lectures the theory of analytical functions as the subject of his des Inbegriffes aller reellen algebraischen Zahlen” (written Ulisse Dini used Cantor’s results in his course as early as in where he learnt of Cantor’s theory of sets. Since 1903, Florensky was devoted to the theory of sets. Russian mathematicians MPhil. His work entitled “Basis of the theory of by Cantor in 1874 and translated by Shatunovsky in 1896). 1870s [Dini, 1878]. Mlodzeevsky gave his course in the autumn working on his thesis entitled “The Idea of Discontinuity as an Element of Outlook”. Florensky turned to Cantor’s theory for a second time in 1904 in analytical functions” was published in three editions of It was in these two works that a new concept of a number term of 1900 and thereafter gave it a couple of times until 1908. who visited universities of Berlin and Gottingen and was created to form basis for the 20th century The theory of sets is used in Mlodzeevsky’s lectures to present his work entitled “Symbols of Eternity (A Sketch of Cantor’s Ideas)”. “Proceedings of the Department of Mathematics of mathematics. Florensky made it his crusade to paraphrase the meaning of Cantor’s read Crelle’s Journal, Mathematische Annalen, Acta Novorossiysk Scientists” in 1892 and 1899, and the theory of function argument. He considered point sets • From 1886 to 1917, there was a journal in Odessa, (“clusters of points”) and functions on the sets; he introduced works. He described the development of definitions of potential and actual presented in 1899. Timchenko pays tribute to Georg “Bulletin of Experimental Physics and Elementary continuity in history of philosophy and continued with description of Mathematica got to know the ideas of the theory of sets. Mathematics”(Vestnik opytnoy fiziki i elementarnoy the concept of a limiting point and cluster set; classified sets into Cantor in the geometrical treatment of the concept of first and second kind; formulated a theorem stating that a Cantor’s theory of cardinals. Confusing ethnic and religious characteristics matematiki). In 1896, they published an article of O.S. again, Florensky concludes that this was the reason why Cantor considered Cantor’s ideas gradually permeated research activities continuity in his works devoted to linear manifolds. Shatunovsky in issue 233 entitled “Proof of Existence of measure of a set of the first kind equals zero; the upper and Timchenko points out the relationship between Cantor’s Transcendental Numbers (as per Cantor)”. Shatunovsky lower limit, the concept of power of sets, countability of the actual infinity: “The idea of a complete infinity for both the absolute and teaching, appeared in press in the form of apprehension of continuity (“integrity” according to had laid down the proof of theorems from Cantor’s work rational and polynomial numbers; equipotency of various individual, the God, and for a human is the domain of Jewry, and this idea Timchenko) and Leibniz’ principle of continuity. Notably, of 1874, “Ueber eine Eigenschaft des Inbegriffes aller dimentions continua, denumerability of a countable sum of seems to be the most material grounds for Cantor. Meanwhile, others, the expositions and translations. We are going to review the Aryans, acknowledge only potential infinity, “bad”, indefinite and infinite, Timchenko addressed the key works of Cantor “Ueber reellen algebraischen Zahlen”, having added a description countable sets; uncountability of continuum with reference to of his more recent achievements, in particular, the concept the continuum hypotheses; perfect sets; ordinal type (“specie”); the very thought of nonexistence of the actual infinity seems unmerciful to history of Cantor’s heritage in Russia from 1892 to die Ausdehnung eines Satzes aus der Theorie der of power of set which appeared only in 1878 in Cantor’s his sole.” trigonometrischen Reihen”, and “Grundlagen einer work “Ein Beitrag zur Mannigfaltigkeitslehre”. well-order (a “well-organized group”); transfinite numbers and 1985. allgemeinen Mannigfaltigkeitslehre”. alephs.

Cantor’s theory was about 30 years of age by 1907. Over this time, Moscow-Tomsk. 1907. V.L. Nekrasov Moscow. 1907. I.I. Zhegalkin Kazan. 1904–1908. A.V. Vasiliev. • Having graduated from Moscow University, in 1906-1907 Ivan works of his successors and criticism of opponents enriched the theory Ivanovich Zhegalkin (1869–1947) held a course in abstract set • Vladimir Leonidovich Nekrasov (1864–1922) theory; in 1907 published his monograph entitled “Transfinite • Since 1874, having graduated from Petersburg University, and thus finally shaped it. However, 10 basic articles of Cantor made graduated from Kazan University where he stayed Numbers”, and in 1908 defended his Master’s dissertation with the Alexandre Vasilievich Vasiliev (1853–1929) worked at Kazan the entire theory. The first summary monograph of Schoenflis to work as a teacher. However, in 1900 he was same title. Zhegalkin presents Cantor’s algebra of transfinite University first as a privat-docent and from 1887, as a professor. numbers in his dissertation in his own way, deductively. There is no transferred to the newly formed Tomsk Institute of list of references, but for a couple of references to works of Cantor, His broad education, proficiency in languages, and numerous appeared in 1900. However, this one was not complete either. The Technology, Department of Abstract Mathematics. Dedekind, Zermelo, and Bernstein. He mainly provides a contacts with foreign scientists enabled him to make a good theory had to be presented in its entirety. In order to prepare the Master’s dissertation, in transformed presentation of Cantor’s last article of 1897 entitled “In organizer and enlightener. He engaged in both research and socio- 1902-1903 he stayed in Europe on an academic support of the theory of transfinite sets”. Zhegakin’s presentation of political activity, and advocated Lobachevsky’s ideas having Cantor’s theory of sets includes two parts: the theory of linear point mission. His Master’s dissertation entitled “The the preamble is different. He thus hopes to avoid those prepared his collected works edition for publication. Georg contradictions in the theory which have come to light by the start of sets and theory of transfinite numbers. Mlodzeevsky set the task of Geometry and Measure of Linear Point Domains ” the 20th century and were associated with the problem of well- Cantor’s uncle, Dmitry Ivanovich Meyer (1819–1856), famous was published in 1907 in «News-Bulletin of lawyer and creator of Russian civil law [Sinkevich, 2012], worked ordering and Zermelo theorem. Zhegalkin adds more stringent comprehensive presentation of the theory to two of his candidates: Tomsk Institute of Technology” (Izvestija arguments to Cantor’s proof. He deserves credit for the statement in Kazan until 1855. There were two portraits in Vasiliev’s study: a regarding independence of the problem of choice from all other portrait of Lobachevsky and that of Meyer. Vasiliev knew Cantor V.L. Nekrasov and I.I. Zhegalkin. Nekrasov was supposed to present Tomskogo Technologicheskogo Instituta). Owing to the thorough historical analysis, elaborate mathematic axioms made by him long before Serpinsky and Goedel. from letters they exchanged and advocated his ideas. the theory of point sets in detail and Zhegalkin, the theory of Zhegalkin made an attempt to build a consistent and complete presentation of Cantor’s theory of point sets, and transfinite . However, he was based on the concept of • From 1904 to 1908 A.V. Vasiliev’s “Introduction into Analysis” transfinite numbers. Each had to add results of his own to the Nekrasov’s own results, the monograph remains a finite set without strictly defining it. He also studied numbers that was published in the publishing office of Kazan University to set significant to the present day. are above class II, it was not in Cantor's works. forth principles of the theory of sets. presentation. Both candidates met the challenges. Petersburg–Odessa. 1914. P.S. Yushkevich Moscow-Novosibirsk. 1968. A.I. Fet. Dramatic fate of Moscow–Leningrad. 1985. F.A. Medvedev • the first complete translation of Cantor into Russian. • When in 1985 F.A. Medvedev translated Cantor’s works for NAUKA Publishing House he Three basic works of Cantor already translated was not aware of the existence of the already completed translation of Fet. The publication (not paraphrased) were published in 1914. From • Abram Ilyich Fet (1924–2007) was a mathematician, philosopher, opinion journalist, was prepared by Academician Kolmogorov (1903–1987) and a renowned math historian 1913 to 1915, Vasiliev was publishing series and brilliant translator. Fet translated Cantor’s works in 1969-70. The translation he A.P. Yushkevich (1906–1993). The publication included his basic works in the theory of had done was that of the following publication: Georg Cantor, Ernst Zermelo, ed., sets, letters Cantor and Dedekind exchanged, and E. Zermelo’s notes to the German entitled “New Ideas in Mathematics” in 1932. In 1970, L.S. Pontryagin (1908-1988), academician who made a great publication. The underlying source text was the publication of 1932 edited by Zermelo. Petrograd. To have Cantor’s works translated, he contribution in topology and variations calculus, headed a group created by him to Unlike Zermelo’s publication which included five letters of those Cantor and Dedekind form part of a section of the editorial-review board at the Academy of Sciences in the wrote to each other, the Russian publication of 1985 includes Cantor’s works translated by engaged a philosopher and translator of USSR, Chief Editorial Board of Physico-Mathematical Literature at NAUKA F.A. Medvedev and 49 letters of the above mathematicians regarding the German philosophic literature, Pavel Solomonovich Publishing House. This is what he himself wrote: “Shafarevich met me in the canteen publication of E. Noether and G. Cavaillès. The Russian publication of 1985 includes the and said: “I do not seem to be a member of the section anymore and therefore would three Cantor’s articles as mentioned above translated by P.S. Yushkevich and published in Yushkevich (1873–1945), father of Adoph like to warn you regarding the collected works of Cantor. Creation of the theory of 1914 in the collection of works entitled “New Ideas in Mathematics”; eleven articles Pavlovich Yushkevich. He translated three of the sets is unduly assigned to Cantor in whole. In fact, quite a large amount of the work translated by Fedor Andreevich Medvedev, including “Principien einer Theorie der was done by Dedekind. This can be seen in letters Cantor and Dedekind exchanged. Ordnungstypen. Erste Mitteilung” which was not included in the collection of 1932. It was most characteristic works of Cantor which Therefore, these letters should be enclosed with Cantor’s work.” found by A. Grattan-Guinness as a manuscript kept in Mittag-Leffler Institute in Sweden contained the quintessence of his theory: • I started thinking over this suggestion of Shafarevich and concluded that Cantor’s and published by him in 1970. This article was written by Cantor in 1884 for Acta works should not be published at all, as it is unreasonable to attract attention of young Mathematica, however, it was rejected by Mittag-Leffler as too philosophic. “Grundlagen einer allgemeinen mathematicians to the theory of sets at the moment. Mannigfaltigkeitslehre”, “Ueber die • Fedor Andreevich Medvedev (1923–1994), mathematician and math historian, author of • Very popular in Luzin’s times, currently the theory of sets has already lost the edge. four books and numerous articles in the history of the theory of sets and work of Cantor verschiedenen Standpuncte in bezug auf das The group accepted my suggestion, and the book was rejected. The section readily himself, devoted his whole life to history of mathematics. Not only did he thoroughly agreed with us regardless the fact that Cantor’s works have already been translated!” translate Cantor’s works, letters he exchanged with Dedekind, and Zermelo’s comments, Actuelle Unendliche”, and “Mitteilungen zur he also added his very valuable notes to Cantor’s works. Fedor Andreevich was my Lehre vom Transfiniten”. teacher; it is thanks to him that I started to study the history of Cantor’s theory.

Синкевич Г.И. Георг Кантор. Биографические материалы семьи и детства из архивов Петербурга // Dzieje matematzki polskiej. Praca zbiorowa pod redakciją Witolda Więslawa. – Wroclaw. – 2012. – С. 241– 258. The fate of Russian Синкевич Г.И. Георг Кантор & Польская школа теории множеств. – Изд-во СПбГАСУ, – 2012. – 356 с. translations of Cantor’s Синкевич Г.И. Идеи Кантора в России // Наука и техника: Вопросы истории и теории. Материалы XXXIII международной годичной конференции Санкт-Петербургского отделения Российского works has lived its 20th национального комитета по истории и философии науки и техники РАН (26-30 ноября 2012 г.) Выпуск century history together XXVIII СПб 2012. С. 233-234. Sinkevich G. Georg Cantor and Russia / G. Sinkevich // ICHSTM Manchester 2013. 24th International with Russia. People who Congress of History of Science, Technology and Medicine. Knowledge at work. 21-28 July, 2013. Programm and abstracts. – 498 p. – P. 332. touched Cantor’s heritage G. Sinkevich. Georg Cantor – Kindheit und Familiengeschichte // Mitteilungen der DMV. – 2014. – Vol. 4. were remarkable, and – Issue 2 (June 2014). – S. 104–110. Синкевич Г.И. Понятие непрерывности у Дедекинда и Кантора. // Труды XI Международных their names have come Колмогоровских чтений: сборник статей. – Ярославль: Издательство ЯГПУ – 2013 г. – С. 336–347. Sinkevich G. Concepts of a Numbers of C. Méray, E.Heine, G. Cantor, R. Dedekind and K. Weierstrass / down in the history of G. Sinkevich // Technical Transactions. Kraków. – 2014. – 1-NP. – p. 211-223. Sinkevich G. Georg Cantor from St. Petersburg. Childhood and history of the family. Archival research// Russian mathematics. http://arxiv.org/abs/1502.06940 The paper password for this article is: f5597 Sinkevich G. The Fate of Russian Translations of Cantor// Notices of the International Congress of Chinese Mathematicians. International Press of Boston. 2015. - V.3, No 2, p. 74-83. Paper ID 39182

“Thou shalt find his fruits after many days”.

Cantor’s works in Russia

Galina Sinkevich

Saint Petersburg State University of Architecture and Civil Engineering Vtoraja Krasnoarmejskaja ul. 4, St. Petersburg, 190005, Russia [email protected]

Sinkevich G. “Thou shalt find his fruits after many days”. Cantor’s works in Russia. 7th European Congress of Mathematics. July 18-22, 2016. Technische Universität Berlin. Book of Abstracts as per June 17, 2016, p. 699. Saint Petersburg was the native town of Georg Cantor (1845--1918). Three generations of his family lived here. They were courtiers, musicians, painters, scientists and merchants. Among them were many great personalities, who have left their mark in the culture not only of St. Petersburg, but throughout Russia. In 1856 eleven-years-old Georg Cantor with his family left Petersburg. In Germany he became a mathematician. He created his set theory in 1872--1884. From 1892 his ideas were penetrating into Russia. Russian mathematicians and philosophers apprehended the ideas of the theory of sets enthusiastically. Such renowned scholars and scientists as I.~Timchenko, S.~Shatunovskiy, A.~Vasil'yev, P.~Florenskiy, B.~Mlodzeevskiy, V.~Nekrasov, I.~Zhegalkin, P.~Yushkevich Sr., A.~Fet, A.~Yushkevich Jr., A.~Kolmogorov, and F.~Medvedev took part in their dissemination. But in 1970 Cantor’s set theory was held usefully for young mathematicians, and the translated works of Cantor were not published. Only in 1985 the complete Cantor’s set theory works were translated and published. We shall consider works of Russian mathematicians and translators of 19-20 c. in popularization of Cantor’s set theory.