Grete Hermann Explained

Grete Hermann
Birth Date:1901 3, df=yes
Birth Place:Bremen, German Empire
Death Place:Bremen, West Germany
Nationality:German
Education:University of Göttingen (PhD, 1926, adv. Emmy Noether)
Occupation:Mathematician and philosopher
Employer:Assistant for Leonard Nelson; professor for philosophy and physics at the Pädagogische Hochschule in Bremen

Grete Hermann (2 March 1901 – 15 April 1984) was a German mathematician and philosopher noted for her work in mathematics, physics, philosophy and education. She is noted for her early philosophical work on the foundations of quantum mechanics, and is now known most of all for an early, but long-ignored critique of a "no hidden-variables theorem" by John von Neumann. It has been suggested that, had her critique not remained nearly unknown for decades, the historical development of quantum mechanics might have been very different.

Mathematics

Hermann studied mathematics at Göttingen under Emmy Noether and Edmund Landau,[1] where she achieved her PhD in 1926. Her doctoral thesis, "Die Frage der endlich vielen Schritte in der Theorie der Polynomideale" (in English "The Question of Finitely Many Steps in Polynomial Ideal Theory"), published in Mathematische Annalen, is the foundational paper for modern computer algebra. It first established the existence of algorithms (including complexity bounds) for many of the basic problems of abstract algebra, such as ideal membership for polynomial rings. Hermann's algorithm for primary decomposition is still in contemporary use.[2]

Assistant to Leonard Nelson

From 1925 to 1927, Hermann worked as assistant for Leonard Nelson.[3] Together with Minna Specht, she posthumously published Nelson's work System der philosophischen Ethik und Pädagogik,[4] while continuing her own research.

Quantum mechanics

As a philosopher, Hermann had a particular interest in the foundations of physics. In 1934, she went to Leipzig "for the express purpose of reconciling a neo-Kantian conception of causality with the new quantum mechanics".[5] In Leipzig, many exchanges of thoughts took place among Hermann, Carl Friedrich von Weizsäcker, and Werner Heisenberg.[5] The contents of her work in this time, including a focus on a distinction of predictability and causality, are known from three of her own publications,[3] and from later description of their discussions by von Weizsäcker,[6] and the discussion of Hermann's work in chapter ten of Heisenberg's The Part and The Whole. From Denmark, she published her work The foundations of quantum mechanics in the philosophy of nature (German original title: Die naturphilosophischen Grundlagen der Quantenmechanik). This work has been referred to as "one of the earliest and best philosophical treatments of the new quantum mechanics".[7] In this work, she concludes:

In June 1936, Hermann was awarded the Richard Avenarius prize together with Eduard May and Th. Vogel.[8] [9]

Earlier, in 1935, Hermann published a critique of John von Neumann's 1932 proof that was widely claimed to show that a hidden variable theory of quantum mechanics was impossible. Hermann's work on this subject went unnoticed by the physics community until it was independently discovered and published by John Stewart Bell in 1966, and her earlier discovery was pointed out by Max Jammer in 1974. Some have posited that had her critique not remained nearly unknown for decades, her ideas would have put in question the unequivocal acceptance of the Copenhagen interpretation of quantum mechanics, by providing a credible basis for the further development of nonlocal hidden variable theories, which would have changed the historical development of quantum mechanics.[3]

Political activism

As Adolf Hitler came to power in Germany, Hermann participated in the underground movement against the Nazis. She was a member of the Internationaler Sozialistischer Kampfbund (ISK).[10]

Emigration and later years

By 1936, Hermann left Germany for Denmark and later France and England.[10] In London, in order to avoid standing out on account of her German provenance, she married a man called Edward Henry early in 1938.[11] Her prescience was justified by events: two years later the British government invoked its hitherto obscure Regulation 18B of the Defence (General) Regulations 1939, identifying several thousand refugees who had fled Germany for reasons of politics or race as enemy aliens and placing them in internment camps.[12]

After the war ended in 1945 she was able to combine her interests in physics and mathematics with political philosophy. She rejoined the Social Democratic Party (SPD) on returning in 1946 to what would become, in 1949, the German Federal Republic (West Germany). Starting in 1947 she was one of those contributing behind the scenes to the Bad Godesberg Programme, prepared under the leadership of her longstanding ISK comrade Willi Eichler, and issued in 1959, which provided a detailed modernising platform that carried the party into government in the 1960s.[13]

She was nominated professor for philosophy and physics at the Pädagogische Hochschule in Bremen and played a relevant role in the Gewerkschaft Erziehung und Wissenschaft. From 1961 to 1978, she presided over the Philosophisch-Politische Akademie, an organisation founded by Nelson in 1922, oriented towards education, social justice, responsible political action and its philosophical basis.[10] [14]

Works

Articles:

Further reading

External links

Notes and References

  1. Web site: Margarethe Hermann - The Mathematics Genealogy Project. www.genealogy.math.ndsu.nodak.edu. 29 May 2019.
  2. Book: Ciliberto. Ciro. Hirzebruch. Friedrich. Miranda. Rick. Teicher. Mina. Mina Teicher . Applications of Algebraic Geometry to Coding Theory, Physics and Computation. 2001. Springer Netherlands. Dordrecht. 978-94-010-1011-5. en. Nato Science Series II.
  3. Book: Soler . Léna . The Convergence of Transcendental Philosophy and Quantum Physics: Grete Henry-Hermann's 1935 Pioneering Proposal. Constituting Objectivity . The Western Ontario Series in Philosophy of Science . M. Bitbol . P. Kerszberg . J. Petitot . Springer. 2009. 74 . 329–344. 10.1007/978-1-4020-9510-8_20. 978-1-4020-9509-2 .
  4. http://www.philosophisch-politische-akademie.de/ppamit/specht.html Minna Specht
  5. Bacciagaluppi . Guido . Crull . Elise . Heisenberg (and Schrödinger, and Pauli) on hidden variables . Studies in History and Philosophy of Science Part B . December 2009 . 40 . 4 . 374–382 . 10.1016/j.shpsb.2009.08.004. 2009SHPMP..40..374B . 13140289 . PhilSci:4759. 10.1.1.484.3421 .
  6. Carl Friedrich von Weizsäcker, see for example: Jagdish Mehra, Helmut Rechenberg: The Historical Development of Quantum Theory, Volume 6 The Completion of Quantum Mechanics 1926–1941, Part 2, Springer, 2001,, p. 712 f.
  7. Book: Crull . Elise. Bacciagaluppi. Guido . Translation of: W. Heisenberg, "Ist eine deterministische Ergänzung der Quantenmechanik möglich?. The Einstein Paradox: The Debate on Nonlocality and Incompleteness in 1935. Cambridge University Press. 2021. PhilSci:8590.
  8. C. F. Freiherr v. Weizsäcker (interviewed), Konrad Lindner: Carl Friedrich von Weizsäcker über sein Studium in Leipzig, NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin, vol. 1, no. 1, pp. 3-18,, see fulltext
  9. V. F. Lenzen: Die Bedeutung der Modernen Physik für die Theorie der Erkenntnis. Drei mit dem Richard Avenarius-Preis ausgezeichnete Arbeiten von Dr. Grete Hermann, Dr. E. May, Dr. Th. Vogel, In A. P. Ushenko (ed.): The Philosophy of Relativity, Science, vol. 85, no. 2217 (25 June 1937), pp. 606-607
  10. https://library.fes.de/fulltext/adsd/01412b.htm#E11E48 Grete Henry-Hermann
  11. Web site: Marriage registry index (Marylebone). 15 February 2016. FreeBMD. ONS.
  12. Grete Henry - Hermann (1901-1984) (A personal account for the trustees of the SFCP). Patricia Shipley. who is "grateful to Fernando Leal, Rene Saran, and Dieter Krohn for their helpful comments in the preparation of this account". 20 November 2012.
  13. Book: Berufswege promovierter Mathematikerinnen und Mathematiker. 110–111. Traumjob Mathematik!: Berufswege von Frauen und Männern in der Mathematik. Andrea Abele . Helmut Neunzert . Renate Tobies. Renate Tobies . Springer Basel AG. 978-3-7643-6749-7. 2004.
  14. http://www.philosophisch-politische-akademie.de/ Philosophisch-Politische Akademie