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Kurt Grelling

Kurt Grelling is a science 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 Kurt Grelling rather than just read about it. In short: Kurt Grelling (German: [ˈɡʁɛlɪŋ]; 2 March 1886 – September 1942) was a German logician and philosopher, member of the Berlin Circle. Life and work Kurt Grelling was born on 2 March 1886 in Berlin.

Kurt Grelling — main illustration
Kurt Grelling — illustration

Key takeaways

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

Reference excerpt

Kurt Grelling (German: [ˈɡʁɛlɪŋ]; 2 March 1886 – September 1942) was a German logician and philosopher, member of the Berlin Circle.

Life and work

Kurt Grelling was born on 2 March 1886 in Berlin. His father, the Doctor of Jurisprudence Richard Grelling, and his mother, Margarethe (née Simon), were Jewish. Shortly after his arrival in 1905 at University of Göttingen, Grelling began a collaboration with philosopher Leonard Nelson, with whom he tried to solve Russell's paradox, which had shaken the foundations of mathematics when it was announced in 1903. Their 1908 paper included new paradoxes, including a semantic paradox that was named the Grelling–Nelson paradox. He received his doctorate in mathematics from the same university in 1910 with a PhD dissertation on the development of arithmetic in axiomatic set theory, advised by David Hilbert. In a recorded interview with Herbert Enderton, Alfred Tarski mentions a meeting he had with Grelling in 1938, and says that Grelling was the author of the earliest textbook in set theory, probably but wrongly referring to this dissertation, since William Henry Young and Grace Chisholm Young's Set Theory was published in 1906. As a skilled linguist, Grelling translated philosophical works from French, Italian and English to German, including four of Bertrand Russell's works. He became a strong proponent of Russell's writings thereafter. From 1911 to 1922 Grelling published exclusively journalistic articles in publications connected with the Social Democratic Party of Germany. In 1915 his father, Richard Grelling, wrote the anti-war book J'Accuse, condemning the actions of the Central Powers. It enjoyed huge sales outside Germany. Richard followed this success up with Das Verbrechen (The Crime), in which he attacked his critics, who included Kurt Grelling. From 1924 onwards Grelling's publications were exclusively in the field of positivist philosophy. Unable to find a university position in either Göttingen or Berlin, Grelling had to teach mathematics, philosophy and physics in secondary schools. Nevertheless, he worked with Hans Reichenbach in planning the meetings of the Berlin Circle, which was closely associated with the Vienna Circle. In 1933, Reichenbach emigrated to Turkey and the Nazis forced Grelling to retire. But he struggled to keep the Berlin Circle active by organizing small seminars and colloquia. Grelling collaborated with Kurt Gödel and in 1937 he published an article in which he defended Gödel's first incompleteness theorem against an erroneous interpretation, according to which Gödel's theorem is a paradox as Russell's paradox. Although many of his relatives and friends had fled Germany, he did not think seriously about leaving until 1937, in which year he went to Brussels to work with Paul Oppenheim, this time writing several papers on the analysis of scientific explanation and on Gestalt psychology. On 10 May 1940, the first day of the German invasion in Belgium, Grelling was arrested. He was deported to southern France, where he was interned for over two years under the Vichy regime. Oppenheim and Hempel tried to help Grelling by securing an appointment for him at the New School for Social Research in New York City. News of the position and a visa to the United States reached the camp where Grelling had been joined by his wife Greta, who had refused to divorce him for safety reasons. But U.S. immigration officials were perplexed by Grelling's alleged propensity towards communism, so there was a delay that was fatal to Grelling. He and his wife were shipped to Auschwitz, arriving there on September 18, 1942 and were murdered in the gas chambers soon after arrival.

Selected publications Grelling, K.; Nelson, L. (1908). "Bemerkungen zu den Paradoxien von Russell und Burali-Forti". Abhandlungen der Fries'schen Schule II. Göttingen: W. Engelmann. pp. 301–334. Die Axiome der Arithmetik mit besonderer Berücksichtigung der Beziehungen zur Mengenlehre. PhD dissertation, Göttingen University Press, 1910. Anti-J'accuse. Eine deutsche Antwort. Zürich: Art. Institut Orell Füssli, 1916. "Gibt es eine Gödelsche Antinomie?", in: Theoria 3 (1937):297–306.

Notes

References Nikolay Milkov (2013), "The Berlin Group and the Vienna Circle: Affinities and Divergences", in: N. Milkov & V. Peckhaus (eds.), The Berlin Group and the Philosophy of Logical Empiricism. Springer, pp. 3–32. C. G. Hempel, "Autobiografia intellettuale" in Oltre il positivismo logico. Armando: Rome, 1988. (Text of an interview Hempel gave to Richard Noland in 1982, published for the first time in Italian translation in 1988.) Abraham S. Luchins and Edith H. Luchins, "Kurt Grelling: Steadfast scholar in a time of madness" Journal of Gestalt Theory, Vol. 22, Apr 2000, pp 228–281.Expanded version: Archived 2018-05-19 at the Wayback Machine Günther Sandner, "The Berlin Group in the Making: Politics and Philosophy in the Early Works of Hans Reichenbach and Kurt Grelling". 10th International Congress of the International Society for the History of Philosophy of Science (HOPOS), Ghent, July 2014. Abstract: Archived 2018-11-16 at the Wayback Machine.

External links Kurt Grelling at the Mathematics Genealogy Project Biographical Notes at Murzim.net (Archived)

Illustrations

Kurt Grelling illustration
Kurt Grelling illustration
Kurt Grelling: Memorial Stolperstein at Kurt Grelling's residence Königsberger Straße 13 in Berlin
Memorial Stolperstein at Kurt Grelling's residence Königsberger Straße 13 in Berlin

Worked examples

Example 1 — a first encounter with Kurt Grelling

Start with the simplest possible case. Write down what Kurt Grelling claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, 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 Kurt Grelling 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 Kurt Grelling 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 Kurt Grelling

In research
Kurt Grelling appears in science 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 Kurt Grelling 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
Kurt Grelling is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1886 births, 1942 deaths, 20th-century German male writers, so understanding it makes those chapters shorter.
In everyday life
Look for Kurt Grelling 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 Kurt Grelling in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Kurt Grelling 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 Kurt Grelling out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Kurt Grelling in simple terms?

Kurt Grelling (German: [ˈɡʁɛlɪŋ]; 2 March 1886 – September 1942) was a German logician and philosopher, member of the Berlin Circle. Life and work Kurt Grelling was born on 2 March 1886 in Berlin.

Why does Kurt Grelling matter?

Because it connects several science 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 Kurt Grelling?

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 Kurt Grelling.

Tags

  • 1886 births
  • 1942 deaths
  • 20th-century German male writers
  • 20th-century German philosophers
  • German Jews who died in the Holocaust
  • German logicians
  • German people who died in Auschwitz concentration camp
  • German social democrats
  • Jewish philosophers
  • People from Berlin executed in Nazi concentration camps
  • People killed by gas chamber by Nazi Germany
  • Vienna Circle

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