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George Adams Kaufmann

George Adams Kaufmann is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand George Adams Kaufmann rather than just read about it. In short: George Adams Kaufmann, also George Adams and George von Kaufmann, (8 February 1894, Maryampol, Galicia, then part of the Austro-Hungarian Empire – 30 March 1963, Edgbaston, UK) was a British mathematician, translator, and anthroposophist. He travelled widely, spoke several languages and translated many of Rudolf Steiner’s lectures into English.

Key takeaways

  • George Adams Kaufmann belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect George Adams Kaufmann to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of George Adams Kaufmann from memory before moving on to harder problems.

Reference excerpt

George Adams Kaufmann, also George Adams and George von Kaufmann, (8 February 1894, Maryampol, Galicia, then part of the Austro-Hungarian Empire – 30 March 1963, Edgbaston, UK) was a British mathematician, translator, and anthroposophist. He travelled widely, spoke several languages and translated many of Rudolf Steiner’s lectures into English. Through his studies in theoretical physics, he contributed to the expansion and development of the natural sciences as extended by the concepts of anthroposophy.

Youth His father, Georg von Kaufmann, a British subject of German descent, was a pioneer of the oil industry. His mother was born Kate Adams in England. Shortly after George's birth, the family moved to Solotwina in the foothills of the Carpathians. In 1897, when he was three years old, his parents divorced. His father retained custody of the children and it was only a short while before her death in 1935, that Adams saw his mother again. The father married again – a young German woman, who created for George and his siblings a happy childhood. Educated by English governesses, he was raised to fluency in several languages, primarily English, German and Polish. From 1905, Adams attended Mill Hill School in England, travelling home alone to his family in Galicia. In 1912 he entered Christ's College, Cambridge to read Chemistry, completing his BA in 1915. He was president of Cambridge University Socialist Society in 1915. Preoccupied with problems of social reform, he rejected all manner of violence, remaining a conscientious objector throughout the First World War – a "militant revolutionary" as he described himself. He was imprisoned after refusing to serve with other conscientious objectors in the Non-Combatant Corps and was only released in 1919, after a hunger strike. The atomistic and materialistic thoughts of his time failed to satisfy him, causing him to seek for alternatives in the work of Alfred North Whitehead and Bertrand Russell. On questioning Russell on how to reach satisfactory conclusions in theoretical physics without the hypothesis of the atom, Russell encouraged him to study projective geometry. Following this advice, Adams began to concern himself primarily with mathematics and theoretical physics. He heard lectures by G. H. Hardy and began to research projective, non-Euclidean geometry.

Encounter with anthroposophy In 1914 he had encountered Rudolf Steiner’s "Occult Science" and become a member of the Emerson Group in London in 1916. During his time as conscientious objector he had come to know Mary Fox, a Quaker and in 1920 they married. His interest in Steiner's ideas on social reform and his intention to translate the book The Threefold Social Order (GA 23) caused him to visit Steiner together with Ethel Bowen Wedgwood in Dornach, Switzerland. Steiner advised him to become involved in some form of social work, something Adams could readily accept amid the social collapse in Central and Eastern Europe following the war. He went on several journeys to Poland as part of the English and American Quaker organisation. In 1920 he took part in the inauguration of the first Goetheanum building. On his return to England, he cooperated with some friends on spreading the ideas of Social threefolding as well as the anthroposophical ideas of Steiner. His wife Mary Adams began her work as librarian and translator for the Anthroposophical Society in London that she was to carry for many years. In addition, Adams was the free verbal translator of around 110 lectures of Steiner into English. He went on to translate many of Steiner's written works, often with Mary Adams. He was often in Dornach during these times and experienced the burning of the first Goetheanum on New Year's Eve 1922/23 and was part of the Christmas Foundation meeting of the General Anthroposophical Society in 1923/24. In 1924 he became one of the Goetheanum-Speakers authorised by Steiner.

Research and work While working as a free co-worker of the Anthroposophical Society in Britain as lecturer and workshop holder after 1925, Adams turned again to the study of the natural sciences and mathematics, concentrating particularly on projective geometry and working with Elisabeth Vreede, leader of the Section for Mathematics and Astronomy at the Goetheanum. At the beginning of the 1930s, Adams published a series of articles and essays about projective, synthetic geometry and its relationship to physics, to Goethe's theory of metamorphosis and to anthroposophical spiritual science, particularly the pioneering work "Of Etheric Space" in the magazine Natura of the Goetheanum's Medical Section. Here for the first time is mentioned the concept of "counter-space", as Steiner indicated in the third of his courses on the Natural Sciences (GA 323), explained by means of non-Euclidean geometry. Some years later Louis Locher was to discover the same thing independently of Adams. From that time on the conceptual development of the idea of counter-space in its relation to normal spatial thinking became the focal point of Adams' further scientific research. In 1933 the comprehensive work Space and the Light of the Creation – Synthetic Geometry in the light of Spiritual Science appeared, which was an overview of the spiritual scientific meaning of synthetic geometry. When Elisabeth Vreede and Ita Wegman were dismissed from the executive of the General Anthroposophical Society in Dornach, a number of other prominent members of the German, Dutch and British Societies were expelled, including Adams. This brought to an end his cooperation with the Mathematical/Astronomical Section. When the Chairman of the Anthroposophical Society in Great Britain, D. N. Dunlop, died in May 1935, Adams took over as general secretary. In this task, Olive Whicher became his closest co-worker, and he introduced her to projective geometry.

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with George Adams Kaufmann

Start with the simplest possible case. Write down what George Adams Kaufmann claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to George Adams Kaufmann before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about George Adams Kaufmann ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of George Adams Kaufmann

In research
George Adams Kaufmann appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses George Adams Kaufmann in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
George Adams Kaufmann is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1894 births, 1963 deaths, Alumni of Christ's College, Cambridge, so understanding it makes those chapters shorter.
In everyday life
Look for George Adams Kaufmann outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study George Adams Kaufmann in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what George Adams Kaufmann means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain George Adams Kaufmann out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is George Adams Kaufmann in simple terms?

George Adams Kaufmann, also George Adams and George von Kaufmann, (8 February 1894, Maryampol, Galicia, then part of the Austro-Hungarian Empire – 30 March 1963, Edgbaston, UK) was a British mathematician, translator, and anthroposophist. He travelled widely, spoke several languages and translated…

Why does George Adams Kaufmann matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study George Adams Kaufmann?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on George Adams Kaufmann.

Tags

  • 1894 births
  • 1963 deaths
  • Alumni of Christ's College, Cambridge
  • Anthroposophists
  • British mathematicians
  • Emigrants from Austria-Hungary to the United Kingdom
  • People educated at Mill Hill School

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