Person
Ludwig Wittgenstein
Philosopher whose quoted view casts mathematicians as inventors rather than discoverers.
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Background on Ludwig Wittgenstein
Background
Selected excerpts from Wikipedia. This is general background, not Angle's reporting, and it may have changed since the stories above were published.
Ludwig Josef Johann Wittgenstein (/ˈvɪtɡənʃtaɪn, -staɪn/ VIT-gən-s(h)tyne; Austrian German: [ˈluːdvɪk ˈjoːsɛf ˈjoːhan ˈvɪtɡn̩ʃtaɪn]; 26 April 1889 – 29 April 1951) was an Austro-British philosopher who worked in logic, philosophy of mathematics, philosophy of mind, and philosophy of language.
Wittgenstein was born in Vienna into one of Europe's richest families. From 1911 to 1913, he studied at the University of Cambridge under Bertrand Russell and interacted closely with John Maynard Keynes and G. E. Moore, among others. During this time, he inherited a fortune, part of which he donated to various poets and artists and the rest of which he gave to his siblings. He also began what would become his first important philosophical work. However, at the start of World War I, he left academia to enlist in the Austro-Hungarian Army. After a series of personal adversities—including the death of his older brother by suicide (the third of his older brothers to die by suicide during his lifetime), the death of his close friend and perhaps lover David Pinsent, and his imprisonment in an Italian prisoner of war camp—he became depressed. He worked as a schoolteacher around Vienna. Despite these setbacks, his philosophical work was published in the Tractatus Logico-Philosophicus in 1921, followed by an English translation in 1922 with help from Frank P. Ramsey, to considerable discussion and acclaim.
At the encouragement of Russell, Keynes, and Ramsey, Wittgenstein returned to Cambridge, where he taught from 1930 to 1947, giving lectures on philosophy, often permeated by his original research. During World War II, he left academia again to work at the Guy's Hospital in London and at the Royal Victoria Infirmary in Newcastle upon Tyne. …
Background
According to a family tree prepared in Jerusalem after World War II, Wittgenstein's paternal great-great-grandfather was Moses Meier, an Ashkenazi Jewish land agent who lived with his wife, Brendel Simon, in Bad Laasphe in the Principality of Wittgenstein, Westphalia. In July 1808, Napoleon issued a decree that everyone, including Jews, must adopt an inheritable family surname, so Meier's son, also Moses, took the name of his employers, the Sayn-Wittgensteins, and became Moses Meier Wittgenstein. His son, Hermann Christian Wittgenstein — who took the middle name "Christian" to distance himself from his Jewish background — married Fanny Figdor, also Jewish, who converted to Protestantism just before they married, and the couple founded a successful business trading in wool in Leipzig. Ludwig's grandmother Fanny was a first cousin of the violinist Joseph Joachim.
They had 11 children – among them Wittgenstein's father. Karl Otto Clemens Wittgenstein (1847–1913) became an industrial tycoon, and by the late 1880s was one of the richest men in Europe, with an effective monopoly on Austria's steel cartel. Thanks to Karl, the Wittgensteins became the second wealthiest family in the Austro-Hungarian Empire, only the Rothschilds being wealthier. Karl Wittgenstein was viewed as the Austrian equivalent of Andrew Carnegie, with whom he was friends, and was one of the wealthiest men in the world by the 1890s. As a result of his decision in 1898 to invest substantially in the Netherlands and in Switzerland as well as overseas, particularly in the US, the family was to an extent shielded from the hyperinflation that hit Austria in 1922. However, their wealth diminished due to post-1918 hyperinflation and subsequently during the Great Depression, although even as late as 1938 they owned 13 mansions in Vienna alone.
Wittgenstein was ethnically Jewish. His mother was Leopoldine Maria Josefa Kalmus, known among friends as "Poldi". Her father was a Bohemian Jew, and her mother was an Austrian-Slovene Catholic—she was Wittgenstein's only non-Jewish grandparent. Poldi was an aunt of the Nobel Prize laureate Friedrich Hayek on his maternal side. …
1903–1906: Secondary school
Insistent that they be entirely home-schooled by tutors like their siblings, Karl Wittgenstein had prevented his youngest sons Paul and Ludwig from attending secondary school. After the 1902 disappearance (and presumed suicide) of Hans and the ensuing tensions at home, he finally relented. Unlike Paul, Wittgenstein failed the entrance examination to the more academic Gymnasium in Wiener Neustadt. He only barely managed, after extra tutoring, to pass the exam for the more technically oriented Imperial and Royal Realschule in Linz, a small state secondary school of some 300 pupils. In 1903, when he was 14, he began his three years of formal schooling there, lodging nearby during the term with the family of Josef Strigl, a teacher at the local gymnasium, the family giving him the nickname Luki.
Adolf Hitler was a fellow pupil and of the same age but was never in the same class, because he had been made to repeat his 1900/1901 first year. Placed two grades above Hitler, it is thought Wittgenstein was also moved forward a year. Hitler left Linz in 1904 to spend the 1904/1905 academic year at the Realschule in Steyr. As Ray Monk and Hans Sluga note, there is no evidence the two ever had anything to do with each other during the year that they overlapped, 1903–1904. Wittgenstein's brother Rudi died by suicide on 2 May 1904, and this resulted in his missing many classes during the remainder of the academic year and the one that followed.
Historian Brigitte Hamann writes that he stood out from the other boys, because he spoke an unusually pure form of High German with a stutter, dressed elegantly, and was sensitive and unsociable. Monk writes that the other boys made fun of him, singing after him, "Wittgenstein wandelt wehmütig widriger Winde wegen Wienwärts" (Wittgenstein wanders wistfully Vienna-wards [in] worsening winds). In his leaving certificate, he received a top mark—a 5—in religious studies; a 2 for conduct and English; 3s for French, geography, history, mathematics, and physics; and 4s for German, chemistry, geometry, and freehand drawing. He had particular difficulty with spelling and failed his written German exam because of it. …
1906–1913: University
Wittgenstein began his studies in mechanical engineering at the Technische Hochschule Berlin in Charlottenburg, Berlin, on 23 October 1906, lodging with the family of Professor Jolles. He attended for three semesters, and was awarded a diploma (Abgangzeugnis) on 5 May 1908.
During his time at the Institute, Wittgenstein developed an interest in aeronautics. He arrived at the Victoria University of Manchester in the spring of 1908 to study for a doctorate, full of plans for aeronautical projects, including designing and flying his own plane. He conducted research into the behaviour of kites in the upper atmosphere, experimenting at a meteorological observation site near Glossop in Derbyshire. Specifically, the Royal Meteorological Society researched and investigated the ionization of the upper atmosphere, by suspending instruments on balloons or kites. At Glossop, Wittgenstein worked under Professor of Physics Sir Arthur Schuster.
Wittgenstein worked on the design of a propeller with small jet (tip jet) engines on the end of its blades, something he patented in 1911, and that earned him a research studentship from the university in the autumn of 1908. At the time, contemporary propeller designs were not advanced enough to actually put Wittgenstein's ideas into practice, and it would be years before a blade design that could support Wittgenstein's innovative design was created. Wittgenstein's design required air and gas to be forced along the propeller arms to combustion chambers on the end of each blade, where they were then compressed by the centrifugal force exerted by the revolving arms and ignited. Propellers of the time were typically wood, whereas modern blades are made from pressed steel laminates as separate halves, which are then welded together. This gives the blade a hollow interior and thereby creates an ideal pathway for the air and gas.
Work on the jet-powered propeller proved frustrating for Wittgenstein, who had very little experience working with machinery. …
1913–1920: World War I and writing of the Tractatus
Karl Wittgenstein died on 20 January 1913, and after receiving his inheritance Ludwig became one of the wealthiest men in Europe. He "made a very generous financial bequest to a group of poets and artists chosen by Ludwig von Ficker, the editor of Der Brenner, from artists in need. These included [Georg] Trakl as well as Rainer Maria Rilke and the architect Adolf Loos", and also the painter Oskar Kokoschka. Trakl requested to meet his benefactor but in 1914 when Wittgenstein went to visit, Trakl had killed himself. "In autumn 1916, as his sister reported, 'Ludwig made a donation of a million crowns [equivalent to about $3.7 million in 2025] for the construction of a 30 cm mortar.'"
Wittgenstein came to feel that he could not get to the heart of his most fundamental questions while surrounded by other academics, and so in 1913, he retreated to the village of Skjolden in Norway, where he rented the second floor of a house for the winter. He later saw this as one of the most productive periods of his life, writing Logik (Notes on Logic), the predecessor of much of the Tractatus.
While in Norway, Wittgenstein learned Norwegian to converse with the local villagers, and Danish to read the works of the Danish philosopher Søren Kierkegaard. He adored the "quiet seriousness" of the landscape but even Skjolden became too busy for him. He soon designed a small wooden house which was erected on a remote rock overlooking the Eidsvatnet Lake just outside the village. The place was called "Østerrike" (Austria) by locals. He lived there during various periods until the 1930s, and substantial parts of his works were written there. It was during this time that Wittgenstein began addressing what he considered to be a central issue in Notes on Logic, a general decision procedure for determining the truth value of logical propositions that would stem from a single primitive proposition. He became convinced during this time that
All the propositions of logic are generalizations of tautologies and all generalizations of tautologies are propositions of logic. There are no other logical propositions.
Based on this, Wittgenstein argued that propositions of logic express their truth or falsehood in the sign itself, and one need not know anything about the constituent parts of the proposition to determine it true or false. …
1920–1928: Schoolteaching and publication of the Tractatus
In September 1919 he enrolled in the Lehrerbildungsanstalt (teacher training college) in the Kundmanngasse in Vienna. His sister Hermine said that Wittgenstein working as an elementary teacher was like using a precision instrument to open crates, but the family decided not to interfere. Thomas Bernhard, more critically, wrote of this period in Wittgenstein's life: "the multi-millionaire as a village schoolmaster is surely a piece of perversity".
In the summer of 1920, Wittgenstein worked as a gardener for a monastery. At first, he applied under a false name, for a teaching post at Reichenau, and was awarded the job, but he declined it when his identity was discovered. As a teacher, he wished to no longer be recognized as a member of the Wittgenstein family. In response, his brother Paul wrote:
It is out of the question, really completely out of the question, that anybody bearing our name and whose elegant and gentle upbringing can be seen a thousand paces off, would not be identified as a member of our family.... That one can neither simulate nor dissimulate anything including a refined education I need hardly tell you.
In 1920, Wittgenstein was given his first job as a primary school teacher in Trattenbach, under his real name, in a remote village of a few hundred people. His first letters describe it as beautiful, but, in October 1921, he wrote to Russell: "I am still at Trattenbach, surrounded, as ever, by odiousness and baseness. I know that human beings on the average are not worth much anywhere, but here they are much more good-for-nothing and irresponsible than elsewhere." He was soon the object of gossip among the villagers, who found him eccentric at best. He did not get on well with the other teachers; when he found his lodgings too noisy, he made a bed for himself in the school kitchen. He was an enthusiastic teacher, offering late-night extra tuition to several of the students, something that did not endear him to the parents, though some of them came to adore him; his sister Hermine occasionally watched him teach and said the students "literally crawled over each other in their desire to be chosen for answers or demonstrations".
To the less able, it seems that he became something of a tyrant. The first two hours of each day were devoted to mathematics, hours that Monk writes some of the pupils recalled years later with horror. …
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