Grete Hermann
Grete Hermann was a German mathematician, philosopher, theoretical physicist, writer, and educator. She is known for her foundational work in quantum mechanics and computer algebra; her writings on political philosophy; and her work with the Internationaler Sozialistischer Kampfbund in opposition to Nazism.
Hermann worked on reconciling the neo-Kantian conception of causality with quantum mechanics. This work led to her critique of Von Neumann's no hidden variables proof. Her criticism was long-ignored; it was discovered in 1974 by Max Jammer who publicized it. In 1936, Hermann shared in the award of the Richard Avenarius prize. She was the first graduate student of Emmy Noether and she published the posthumous works of others, including that of Leonard Nelson.
Between 1927 and 1940, Hermann published a number of anti-Nazi articles under various pseudonyms in Der Funke and Sozialistische Warte, publications edited by Willi Eichler. Due to her involvement with the ISK, Hermann had to flee Nazi Germany until the conclusion of World War II. During her exile, she was a leader of the Union of German Socialist Organisations in Great Britain.
In her later years, she co-founded the philosophical journal Ratio, where she was a member of the editorial board until her death. She also became the first head at the, a teacher education university, which later integrated into the University of Bremen after her retirement. After the death of Minna Specht, with whom she worked and lived for many years, she took over leadership of and became withdrawn from public life, focused on critical philosophy and refining Nelsonian ethics. She died in 1984 in Bremen.
Early life and education
Hermann was born in Bremen, in the port city of Lehe of the German Empire, where her father Gerhard Heinrich Hermann was a merchant sailor officer for Norddeutscher Lloyd who also co-owned a stonework factory. Her mother Clara Auguste was dedicated to religious studies. Hermann had a very close relationship with her mother. Both of her grandfathers were pastors. She took piano lessons. Her father abandoned the family and his work to become a wandering "itinerant preacher" in 1921. She was raised in a middle-class Protestant family with two sisters and four brothers, including physicist Carl H. Hermann.She was one of few girls admitted by exception to, which did not become co-educational until 1953. After graduating in 1920, she took the exam to become a teacher there. However, she instead enrolled at the University of Göttingen in 1921 with her two older brothers, to study Mathematics.
At Göttingen, Hermann was the first student of mathematician Emmy Noether. She also studied under Edmund Landau. She defended her thesis in 1925, which included her majors of study. She was awarded her Doctor of Philosophy in Mathematics with minors in Philosophy and Physics. Her thesis was published in 1926 in Mathematische Annalen and incorporated the work of Kurt Hentzelt, a student of Noether and Ernst Sigismund Fischer at the University of Erlangen who died in WWI. Hermann published Hentzelt's theorems after his death. After obtaining her PhD, she studied at the University of Freiburg.
Her PhD thesis, The Question of Finitely Many Steps in Polynomial Ideal Theory is the foundational paper for modern computer algebra. It first established the existence of algorithms for many of the basic problems of abstract algebra, such as ideal membership for polynomial rings. Hermann's algorithm for primary decomposition is used in modern computing.
Academia and research
Theoretical physics
In 1934, Hermann went to Leipzig "for the express purpose of reconciling a neo-Kantian conception of causality with the new quantum mechanics". In Leipzig, many exchanges of thoughts took place among Hermann, Carl Friedrich von Weizsäcker, and Werner Heisenberg. In these discussions, she argued that Kantian causality should remain secure, and questioned whether quantum uncertainty reflected subjective ignorance or a principled limit requiring a revision of the Kantian framework. 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, and from later description of their discussions by von Weizsäcker, and the discussion of Hermann's work in chapter ten of Heisenberg's Physics and Beyond. Heisenberg describes her as dissatisfied with intermediate positions, but as partly reassured by replies influenced by Niels Bohr, and presents the exchange as clarifying the relation between Kantian concepts and modern physics.From Denmark, she published her work The foundations of quantum mechanics in the philosophy of nature. This work has been referred to as "one of the earliest and best philosophical treatments of the new quantum mechanics". In this work, she concludes:
In June 1936, Hermann was awarded the Richard Avenarius prize together with Eduard May and Th. Vogel.
Hidden variables
Based on her views on quantum causality, Hermann concluded that there was no way to explain quantum mechanics in terms of a hidden variable theory. However, she published a critique of John von Neumann's 1932 proof from his book Mathematical Foundations of Quantum Mechanics, that was widely claimed to show that such a theory 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.Pedagogy
During the period of Nazi Germany, Hermann was in exile in Denmark and Britain as a member of Internationaler Sozialistischer Kampfbund, an anti-Nazi political organization. During this time, she visited Germany and France in secret to continue her research. Her first position upon her return to Germany was at a secondary school for girls in Karlsruhe teaching mathematics, where she remained until October 1949, when she was appointed the first provisional head at the , a teacher education university. She was denied a professorship due to her British citizenship, which had nullified her German citizenship. The senator for schools and education,, advocated for her German citizenship to be restored so she could become a professor in Bremen, arguing that she had proved herself by rejecting appointments at Marburg University and the University of Tübingen, after which she was awarded dual citizenship. She became a full professor in July 1950, and she requested to step down to deputy head. While there, she was accused of indoctrinating the college toward Marxism and materialism by the Christian Democratic Union of Germany. During her tenure until 1966, and into her retirement, she supported its transformation into a full university. BPU integrated into the University of Bremen between 1971–1973. After she retired, she withdrew from academia aside from critical philosophy.Philosophy
Hermann worked as an assistant for Leonard Nelson, a German mathematician and philosopher in the Neo-Friesian school of thought, beginning in 1925. She was skeptical of Nelson's rigidity, finding many of his rules to be restrictive of free thought. When her mother fell ill, Nelson discouraged her from visiting her bedside, due to the Nelsonian ideal of prioritizing political matters over private ones. As a result, Hermann did not have the opportunity to see her mother before she died. She later wrote about this as an example of Nelson's inhumanity and ethical issues surrounding his philosophies. When Nelson died in 1927, she continued to work on many of the problems he posed. In 1945, she published Politik und Ethik, a criticism of political apathy and the complicity of bystanders in The Holocaust. In it she concludes:In 1957, she co-founded the philosophical journal Ratio. She remained a member of the editorial board until her death. After she retired from pedagogical work, she focused entirely on re-shaping Nelsonian thought with her ethics until nearly her death. In a letter in July 1983 she wrote:
In her paper Die Überwindung des Zufalls , a critical response to Nelson's work, she concludes that moral judgement is emergent from cooperation of reason and sensibility. Her thesis argued that aside from "mindless panic," there are no behaviors which arise solely from internal mental activity or external influences through the senses. This was directly in opposition to Nelson's belief that reason by itself could generate action, which was central to the absolutist foundation of Nelsonian ethical reason being uninfluenced by external stimuli. Hermann argued that repeated ethical behavior would not absolutely lead to predictable future actions in accordance with moral duty, and reliance on that belief led to complacency that resulted in allowing moral injustices to occur, or immoral actions. She wrote that moral behavior necessarily requires constant labor involving evaluation of the external environment and inner thoughts.
Gustav Heckmann, the philosopher who wrote her obituary in Ratio, published her final paper Die Überwindung des Zufalls: Kritische Betrachtungen zu Leonard Nelsons Begründung der Ethik als Wissenschaft posthumously in 1985. In this work, Hermann refined her earlier works, in which she argued that spatial awareness was equally as important to understanding how people are motivated by personal interests because that motivation extends to the social world. She concludes that Kantian practical experience is a necessary component of the study of ethical decision-making, which Heckmann explains to mean that our relationships with people and early socialization are necessarily part of how we govern our behaviors.