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Making Her Mark on a Century of Turmoil and Triumph: A Tribute to Polish Women in Mathematics

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Part of the book series: Association for Women in Mathematics Series ((AWMS,volume 10))

Abstract

New starts, new beginnings, doubt, excitement, difficulties, and positive outcomes are familiar to most mathematicians. To the women who are the focus of this paper, however, new beginnings meant relocating to a different continent or changing their focus from mathematics to mathematics education. Difficulties included learning and teaching in secret. And positive outcomes meant not only generating new results, but changing the way mathematics was taught in their country, popularizing mathematics much more extensively than ever before, and being free to investigate mathematics to whatever extent they chose. This paper introduces the particular twentieth-century experiences and accomplishments of Polish mathematicians Anna Zofia Krygowska, Zofia Szmydt, and Helena Rasiowa, among others, in the context of Poland during World War II, and acknowledges the contributions of later mathematicians whose work in a new country is ongoing and significant. To supply that context, short descriptions of the development of the Polish School of Mathematics and clandestine education in Poland are provided.

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Notes

  1. 1.

    The Nazis actually referred to this as Aktion gegen Universitäts Professoren, or action against university professors.

  2. 2.

    Konzentrationslager is the German word for “concentration camp.”

  3. 3.

    The third incarnation occurred in the late 1970s when Poland was under Soviet control.

  4. 4.

    The translations of the titles of these articles and the page numbers were obtained from [11].

  5. 5.

    Marian Rejewski, Jerzy Różicki, and Henryk Zygalski were three alumni of Poznań University who broke the Enigma code, allowing them to decrypt German messages until 1938, when the process became too expensive. The Poles then instructed the French and the British in their techniques; the British, having more financial resources, eventually went on to gain much military intelligence from these decryption techniques.

  6. 6.

    The mathematicians Bronisłow Knaster, Władysław Orlicz, Jerzy Albrycht, and Feliks Barański were also pressed into service as louse feeders [12].

  7. 7.

    The Warsaw Uprising was preceded by the Warsaw Ghetto Uprising in 1943, which was a one-month act of fierce resistance to the imminent complete destruction of the Warsaw Ghetto and its inhabitants. The Jews who fought there had a very small cache of weaponry, mostly provided from the meager supply of the Armia Krajowa and the communist Gwardia Ludowa. Thirteen thousand Jews perished in the Warsaw Ghetto Uprising.

  8. 8.

    The United States Holocaust Memorial Museum holds in its collections a clandestinely obtained photograph of Kusmierczuk’s disfigured leg. See Photograph #69339 at collections.ushmm.org.

  9. 9.

    Other mathematicians from the era who won this prize include: Steinhaus and Sierpiński, Władysław Orlicz, Stanisław Mazur, and Adam Bielecki. Bielecki was one of the victims of Sonderaktion Krakau; after the war, he went on to have eleven PhD students.

  10. 10.

    For a detailed discussion of logic in this era, see [52].

  11. 11.

    It is not clear when and where Adolf Lindenbaum was murdered, only that he was [54].

  12. 12.

    At 167.64 cm (5’ 6"), he weighed only 42 kg (92.5 lb) upon his return to Kraków.

  13. 13.

    For further reading on modern mathematical didactics, see, for example, [42].

  14. 14.

    See [52] for background details.

  15. 15.

    The Jewish units of the Armia Krajowa were the Jewish Military Union and the Jewish Combat Organization.

  16. 16.

    A habilitation is a second doctorate, the demands of which vary from country to country and over time. In general, one pursues significant independent research without the guidance of an advisor in order to be habilitated. At one time in Poland’s history, submission of a successful habilitation thesis resulted in a Doctor of Science degree, denoted by DSc. At present, the designation is doktor habilitowany, denoted by dr. hab. before the recipient’s name.

  17. 17.

    To name but a few: Marie Curie-Skłodowska University in Lublin, 1944; University of Łódź in 1945; University of Szczecin in 1945; Nicolaus Copernicus University in Toruń in 1945; the Pedagogical University of Kraków in 1946; Wrocław University of Environmental and Life Sciences in 1951.

  18. 18.

    This award is given jointly by the Centre de Recherches Mathématiques, the Fields Institute, and the Pacific Institute for the Mathematical Sciences.

References

  1. Adam Mickiewicz University in Poznań http://www.international.amu.edu.pl. Accessed 19 June 2017. wmi.amu.edu.pl/en

  2. American Mathematical Society. Fellows of the American Mathematical Society. http://www.ams.org/profession/ams-fellows/ams-fellows. Accessed 5 July 2017.

  3. Association for Women in Mathematics. Hay Award: Past Recipients. https://sites.google.com/site/awmmath/programs/hay-award/past-recipients. Accessed 5 July 2017.

  4. Association for Women in Mathematics. Past Falconer Lecturers. https://sites.google.com/site/awmmath/programs/falconer-lectures/past-recipients. Accessed 5 July 2017.

  5. Association for Women in Mathematics. Past Noether Lecturers. https://sites.google.com/site/awmmath/programs/noether-lectures/noether-lecturers. Accessed 5 July 2017.

  6. Bartol, Wiktor, Ewa Orłowska, and Andrzej Skowron. 1997. Helena Rasiowa, 1917–1994. Bulletin of the European Association for Theoretical Computer Science 62: 353–388.

    MATH  Google Scholar 

  7. Beeler, Robert A., and Rick Norwood. 2014. Polish Mathematics in the First Half of the Twentieth Century. Mathematical Scientist 39(1): 1–10.

    MathSciNet  MATH  Google Scholar 

  8. Davies, Norman. 2005. God’s Playground: A History of Poland II: 1795 to the Present. New York: Columbia University Press.

    Google Scholar 

  9. Domoradzki, Stanisław, and Małgorzata, Stawiska. 2015. Distinguished Graduates in Mathematics of Jagiellonian University in the Interwar Period. Part I: 1918–1925. Technical Transactions. Fundamental Sciences Issue 2-NP. 20: 99–115. doi:http://dx.doi.org/10.4467/2353737XCT.15.209.4414. http://www.ejournals.eu/Czasopismo-Techniczne/2015/Nauki-Podstawowe-Zeszyt-2-NP-(20)-2015/art/6845/ Accessed 23 March 2016.

  10. Domoradzki, Stanisław, and Małgorzata, Stawiska. 2015. Distinguished Graduates in Mathematics of Jagiellonian University in the Interwar Period. Part II: 1926–1939. Technical Transactions Fundamental Sciences 2-NP. 20: 117–141. doi:10.4467/2353737XCT.15.210.4415. http://www.ejournals.eu/Czasopismo-Techniczne/2015/Nauki-Podstawowe-Zeszyt-2-NP-(20)-2015/art/6846/. Accessed 5 July 2017.

  11. Duda, Roman. 2013. Leaders of the Polish Mathematics Between the Two World Wars. Commentationes Mathematicae 53(2): 5–12.

    MathSciNet  MATH  Google Scholar 

  12. Duda, Roman. 2014. Pearls from a Lost City: The Lvov School of Mathematics. Providence, RI: American Mathematical Society.

    Book  MATH  Google Scholar 

  13. Employees and PhD Students. University of Warsaw. https://www.mimuw.edu.pl/en/pracownicy_i_doktoranci. Accessed 5 July 2017.

  14. Gołąb-Meyer, Zofia. 2009–2016. Personal conversations and communications with the author.

    Google Scholar 

  15. Gieysztor, Aleksander. 1984. Welcoming Remarks on Behalf of the Polish Academy of Sciences. Proceedings of the International Congress of Mathematicians, August 16-24, 1983. Warszawa. Vol. 1. Warsaw: PWN, Polish Scientific Publishers.

    Google Scholar 

  16. Helson, Henry. 1997. Mathematics in Poland After the War. Notices of the American Mathematical Society 44(2): 209–212.

    MathSciNet  MATH  Google Scholar 

  17. Hempel, Carl G. 1945. Studies in the Logic of Confirmation (I.). Mind 54(213): 1–26.

    Article  MathSciNet  MATH  Google Scholar 

  18. Hempel, Carl G. 1945. Studies in the Logic of Confirmation (II.). Mind 54(214): 97–121.

    Article  MathSciNet  MATH  Google Scholar 

  19. History. University of Warsaw http://en.uw.edu.pl/about-university/history/. Accessed 19 June 2017.

  20. History of Prizes Awarded at European Congresses of Mathematics. European Mathematical Society. http://euro-math-soc.eu/history-prizes-awarded-european-congresses-mathematics. Accessed 5 July 2017.

  21. Honors, Prizes and Fellowships. The Fields Institute for Research in Mathematical Sciences. https://www.fields.utoronto.ca/honours/fieldsinstfellows.html. Accessed 5 July 2017.

  22. Hosiasson-Lindenbaum, Janina. 1940. On Confirmation. Journal of Symbolic Logic 5(4): 133–148.

    Article  MathSciNet  MATH  Google Scholar 

  23. IFAC Fellows. International Federation of Automatic Control. https://www.ifac-control.org/awards/ifac-fellows Accessed 5 July 2017.

  24. Institute of Mathematics at the Jagiellonian University. http://www.im.uj.edu.pl/en_GB/instytut/pracownicy. Accessed 5 July 2017.

  25. Instytut Matematyki Uniwersytetu Jagiellońskiego. http://www.im.uj.edu.pl/archiwa/doktoraty/archiwum. List of PhDs from 1811 to 2007. Accessed 5 July 2017.

  26. Jagiellonian University in Kraków. http://www.en.uj.edu.pl/en_GB/start. Accessed 19 June 2017.

  27. Januszewski, Zygmunt. 1918. State and Needs of Mathematics in Poland. Nakua Polska 1: 11–18.

    Google Scholar 

  28. Kenney, Emelie. The Birth and Development of Polish Mathematical Didactics in the Interbellum and World War II Eras: Challenges and Opportunities for Inclusion in a Modern Multi-Ethnic Classroom. In Proceedings of the 14th International Conference of the Mathematics Education for the Future Project: Challenges in Mathematics Education for the Next Decade, September 10–15, 2017. Balatonfüred. Munster: Verlag für wissenschaftlichte, Texte und Medien.

    Google Scholar 

  29. Kordos, Marek, Moszyńska, Maria, and Szczerba, Lesław W. 1977. Wanda Szmielew 1918–1976. Studia Logica 36(4): 241–244. doi:10.1007/BF02120661.

    Article  MathSciNet  MATH  Google Scholar 

  30. Krajewski, Władysław. 2002. Polish Philosophers of Science and Nature in the 20th Century. Amsterdam: Brill/Rodopi.

    Google Scholar 

  31. Kuratowski, Kazimierz. 1973. A Half Century of Polish Mathematics: Remembrances and Reflections (trans: Kirkor, A.). Oxford: Pergamon Press.

    Google Scholar 

  32. Kuzawa, Sr. Mary Grace. 1968. Modern Mathematics: The Genesis of a School in Poland. New Haven, CT: College and University Press.

    Google Scholar 

  33. London Mathematical Society. List of LMS Prize Winners. https://www.lms.ac.uk/prizes/list-lms-prize-winners#SWPrize. Accessed 5 July 2017.

  34. Łysik, Grzegorz. Personal correspondence with the author. 17 March 2017.

    Google Scholar 

  35. Mac Lane, Saunders. 1941. Review: Janina Hosiasson-Lindenbaum, On Confirmation. Journal of Symbolic Logic 6(2): 63.

    Google Scholar 

  36. Mazurkiewicz, Stefan. 1919. On the Needs of Mathematics in Poland. Nauka Polska 2: 1–5.

    Google Scholar 

  37. Nowecki, Bogdan J. 1992. Anna Zofia Krygowska. Educational Studies in Mathematics 23(2): 123–137.

    Article  Google Scholar 

  38. O’Connor, John and Edmund, Robertson. Edith Hirsch Luchins. MacTutor History of Mathematics Archive. http://www-history.mcs.st-and.ac.uk/Biographies/Luchins.html. Accessed 5 July 2017.

  39. Pardała, Antoni. 2010. The traditions and development of mathematics education, case of Poland. In Russian Mathematics Education: History and World Significance, eds. Alexander Karp and Bruce R. Vogeli. Series on Mathematics Education, Vol. 4, 327–337. London: World Scientific.

    Google Scholar 

  40. Polskie Towarzystwo Kobiet w Matematyce. (Polish Women in Mathematics.) http://ptkwm.org.pl/pl/. Accessed 5 July 2017.

  41. Profil Osoby Prof. Izydora Dąmbska Ogrody Wspomnień. https://www.ogrodywspomnien.pl/index/showd/91849. Accessed 19 June 2017.

  42. Pytlak, Marta, Tim Rowland, and Ewa Swoboda. 2011. Proceedings of the Seventh Congress of the European Society for Research in Mathematics Education. Rzeszów, Poland: University of Rzeszów.

    Google Scholar 

  43. Rasiowa, Helena. 1994. Axiomatization and Completeness of Uncountably Valued Approximation Logic. Studia Logica 53: 137–160.

    Article  MathSciNet  MATH  Google Scholar 

  44. Redzik, Adam. 2004. Polish Universities During the Second World War. Lublin. Unpublished manuscript. http://www.gomezurdanez.com/polonia.html

  45. Reflections on the Treatment of Peoples of Alien Races in the East: A Secret Memorandum Handed to Hitler by Himmler on 25 May 1940. Translation of Document No-1880 Prosecution Exhibit 1314. In Trials of War Criminals Before the Nuernberg Military Tribunals: Volume XIII “The Ministries Case”: 147–150. Washington, DC: United States Government Printing Office. https://www.loc.gov/rr/frd/Military_Law/pdf/NT_war-criminals_Vol-XIII.pdf. Accessed 20 May 2017.

  46. Sanderson, Abrielle. 2012. The Litzinger-Zygmund Extrication Proposition. Unpublished manuscript.

    Google Scholar 

  47. Szmielew, Wanda. 1947. On Choices from Finite Sets. Fundamenta Mathematicae 34: 75–80.

    Article  MathSciNet  Google Scholar 

  48. Sznajder, Roman. Personal communication. 7 August, 2015.

    Google Scholar 

  49. Sznajder, Roman. Personal communication. 21 December, 2015.

    Google Scholar 

  50. Sznajder, Roman. Personal communication. 21 March, 2017.

    Google Scholar 

  51. W.T. and Idalia Reid Prize in Mathematics. Society for Industrial and Applied Mathematics. https://www.siam.org/prizes/sponsored/reid.php. Accessed 5 July 2017.

  52. Wołenski, Jan. 1995. Mathematical Logic in Poland, 1900–1939: People, Circles, Institutions, Ideas. Modern Logic 5(4): 363–405.

    Google Scholar 

  53. Zaręba, Stanisław. 1918. On the Most Urgent Tasks of Science in Poland with a Particular reference to mathematics. Nauka Polska 1: 1–10.

    Google Scholar 

  54. Zygmunt, Jan, and Robert Purdy. 2014. Adolf Lindenbaum: Notes on his Life, with Bibliography and Selected References. Logica Universalis 8(3): 285–320. doi:10.1007/s11787-014-0108-2.

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Emelie Agnes Kenney .

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Kenney, E.A. (2017). Making Her Mark on a Century of Turmoil and Triumph: A Tribute to Polish Women in Mathematics. In: Beery, J., Greenwald, S., Jensen-Vallin, J., Mast, M. (eds) Women in Mathematics. Association for Women in Mathematics Series, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-319-66694-5_4

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