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Heinrich Scholz

Heinrich Scholz 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 Heinrich Scholz rather than just read about it. In short: Heinrich Scholz (German: [ʃɔlts]; 17 December 1884 – 30 December 1956) was a German logician, philosopher, and Protestant theologian. He was a peer of Alan Turing who mentioned Scholz when writing with regard to the reception of "On Computable Numbers, with an Application to the Entscheidungsproblem": "I have had two letters asking for reprints, one from Braithwaite at King's and one from a professor [sic] in German…

Heinrich Scholz — main illustration
Heinrich Scholz — illustration

Key takeaways

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

Reference excerpt

Heinrich Scholz (German: [ʃɔlts]; 17 December 1884 – 30 December 1956) was a German logician, philosopher, and Protestant theologian. He was a peer of Alan Turing who mentioned Scholz when writing with regard to the reception of "On Computable Numbers, with an Application to the Entscheidungsproblem": "I have had two letters asking for reprints, one from Braithwaite at King's and one from a professor [sic] in Germany... They seemed very much interested in the paper. [...] I was disappointed by its reception here." Scholz had an extraordinary career (he was considered an outstanding scientist of national importance) but was not considered a brilliant logician, for example on the same level as Gottlob Frege or Rudolf Carnap. He provided a suitable academic environment for his students to thrive. He founded the Institute of Mathematical Logic and Fundamental Research at the University of Münster in 1936, which can be said enabled the study of logic at the highest international level after World War II up until the present day.

Personal life Herman Scholz father was a Protestant minister at St. Mary's Church, Berlin. From 1903 to 1907 he studied philosophy and theology at Erlangen University and Berlin University achieving a Licentiate in theology (Lic. theol.). He was a student of Adolf von Harnack, in philosophy with peers Alois Riehl and Friedrich Paulsen. On 28 July 1910, Scholz habilitated in the subjects of religious philosophy and systematic theology in Berlin, and was promoted to full professor, therein working as a lecturer. In 1913, at Erlangen, Heinrich Scholz took his examination for promotion of Dr. phil. with Richard Falckenberg, studying the work of Schleiermacher and Goethe with a thesis titled: Schleiermacher und Goethe. Ein Beitrag zur Geschichte des deutschen Geistes. In 1917 he was appointed to the chair of Philosophy of Religion at the Breslau university succeeding Rudolf Otto to teach religious philosophy and systematic theology. In the same year he married his fiancée, Elisabeth Orth. Due to 8 years of continuous gastric trouble, he was exempted from military service. In 1919, he underwent an operation in which he believed to be a large part of his stomach was removed. That year he took the call to Kiel University, as the chair of philosophy. It was while at Kiel, in 1924, that Scholz's first wife, Elisabeth Orth died. From October 1928 onwards, he taught in Münster University, first as Professor of Philosophy. In 1938, this was changed to Professor of Philosophy of Mathematics and Science and again in 1943 to Chair of Mathematical Logic and Fundamental Questions in Mathematics working as head of the Institute for Mathematical Logic and Fundamental Research at Münster until he retired in 1952 as professor emeritus. Scholz was survived by his second wife, Erna. Scholz grave is located on the Park Cemetery Eichhof near Kiel.

Career From his own account, in 1921, having by accident came across Principia Mathematica by Bertrand Russell and Alfred North Whitehead he began studying logic, which he had abandoned in his youth to study theology, leading later to a study of mathematics and theoretical physics by taking an undergraduate degree at Kiel. However another factor in his change of focus was the mathematician Otto Toeplitz. Toeplitz's broad research interests including Hilbert spaces and spectral theory encouraged Scholz interest in mathematics. Indeed, Segal suggests that Scholz love of structure was also an important factor in his move into mathematical logic, describing it this: Scholz's feeling for structure was no small thing. He apparently felt that when having guests for dinner: (1) no more than six people should be invited; (2) there must be an excellent menu; (3) a discussion theme must be planned; and (4) the guests should have prepared themselves as much as possible beforehand on this theme. In 1925, he was a peer of Karl Barth at Münster University, in which he taught Protestant theology. Under the influence of conversations with Scholz, Barth later wrote in 1930/31. his book about the Anselm of Canterbury proof of God "fides quaerens intellectum."

In the 1930s, he maintained contact with Alan Turing who later – in a letter home dated 22 February 1937 – wrote with regard to the reception of his article "On Computable Numbers, with an Application to the Entscheidungsproblem": I have had two letters asking for reprints, one from Braithwaite at King's and one from a proffessor [sic] in Germany... They seemed very much interested in the paper. I think possibly it is making a certain amount of impression. I was disappointed by its reception here. I expected Weyl who had done some work connected quite closely with it some years ago at least to have made a few remarks about it. At the University of Münster, his study into mathematical logic and basic research, provided many of the critical insights, that contributed to the foundations of theoretical computer science. Right from the time he arrived at Münster, Scholz worked towards building a school of mathematical logic. By 1935, his research team at Münster were being referred to as the Münster school of mathematical logic. Scholz names 1936, as the year the Münster School was born. His professorship was rededicated in 1936 to a lectureship for mathematical logic and fundamental research and in 1943 the first chair in Germany for mathematical logic and fundamental research. The Münster Chair is still regarded as one of the best in Germany. Scholz was considered a Platonist, and in that sense, he regarded the mathematical logic as the foundation of knowledge. In 1936 he was awarded a grant from the DFG, for the production of three volumes of research in logic and for the editing of the Gottlob Frege papers. He is considered the discoverer of the estate of Gottlob Frege. Gisbert Hasenjaeger whose thesis had been supervised by Scholtz, produced a book Grundzüge der mathematischen Logik in 1961 which was jointly authored with Scholz despite being published five years after Scholz's death.

… excerpt ends here. Continue reading the full article.

Illustrations

Heinrich Scholz illustration

Worked examples

Example 1 — a first encounter with Heinrich Scholz

Start with the simplest possible case. Write down what Heinrich Scholz 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 Heinrich Scholz 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 Heinrich Scholz 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 Heinrich Scholz

In research
Heinrich Scholz 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 Heinrich Scholz 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
Heinrich Scholz is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1884 births, 1956 deaths, 19th-century German philosophers, so understanding it makes those chapters shorter.
In everyday life
Look for Heinrich Scholz 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 Heinrich Scholz in 20 minutes

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

Frequently asked questions

What is Heinrich Scholz in simple terms?

Heinrich Scholz (German: [ʃɔlts]; 17 December 1884 – 30 December 1956) was a German logician, philosopher, and Protestant theologian. He was a peer of Alan Turing who mentioned Scholz when writing with regard to the reception of "On Computable Numbers, with an Application to the Entscheidungsproble…

Why does Heinrich Scholz 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 Heinrich Scholz?

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 Heinrich Scholz.

Tags

  • 1884 births
  • 1956 deaths
  • 19th-century German philosophers
  • 20th-century German Protestant theologians
  • 20th-century German male writers
  • 20th-century German mathematicians
  • 20th-century German philosophers
  • German cryptographers
  • German logicians
  • German male non-fiction writers
  • Mathematical logicians

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