Louis Couturat
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Louis Couturat (; 17 January 1868 – 3 August 1914) was a French
logic Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure o ...
ian,
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
,
philosopher Philosophy ('love of wisdom' in Ancient Greek) is a systematic study of general and fundamental questions concerning topics like existence, reason, knowledge, Value (ethics and social sciences), value, mind, and language. It is a rational an ...
, and
linguist Linguistics is the scientific study of language. The areas of linguistic analysis are syntax (rules governing the structure of sentences), semantics (meaning), Morphology (linguistics), morphology (structure of words), phonetics (speech sounds ...
. Couturat was a pioneer of the
constructed language A constructed language (shortened to conlang) is a language whose phonology, grammar, orthography, and vocabulary, instead of having developed natural language, naturally, are consciously devised for some purpose, which may include being devise ...
Ido Ido () is a constructed language derived from a reformed version of Esperanto, and designed similarly with the goal of being a universal second language for people of diverse languages. To function as an effective ''international auxiliary ...
.


Life and education

Born in Paris. In 1887 he entered
École Normale Supérieure École or Ecole may refer to: * an elementary school in the French educational stages normally followed by Secondary education in France, secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing i ...
to study
philosophy Philosophy ('love of wisdom' in Ancient Greek) is a systematic study of general and fundamental questions concerning topics like existence, reason, knowledge, Value (ethics and social sciences), value, mind, and language. It is a rational an ...
and
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
. In 1895 he lectured in philosophy at the
University of Toulouse The University of Toulouse (, ) is a community of universities and establishments ( ComUE) based in Toulouse, France. Originally it was established in 1229, making it one of the earliest universities to emerge in Europe. Suppressed during the ...
and 1897 lectured in
philosophy of mathematics Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship to other areas of philosophy, particularly epistemology and metaphysics. Central questions posed include whether or not mathem ...
at the University of Caen Normandy, taking a stand in favor of
transfinite number In mathematics, transfinite numbers or infinite numbers are numbers that are " infinite" in the sense that they are larger than all finite numbers. These include the transfinite cardinals, which are cardinal numbers used to quantify the size of i ...
s. After a time in
Hanover Hanover ( ; ; ) is the capital and largest city of the States of Germany, German state of Lower Saxony. Its population of 535,932 (2021) makes it the List of cities in Germany by population, 13th-largest city in Germany as well as the fourth-l ...
studying the writings of
Leibniz Gottfried Wilhelm Leibniz (or Leibnitz; – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat who is credited, alongside Sir Isaac Newton, with the creation of calculus in addition to many ...
, he became an assistant to Henri-Louis Bergson at the Collège de France in 1905.


Career

He was the French advocate of the
symbolic logic Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure o ...
that emerged in the years before World War I, thanks to the writings of
Charles Sanders Peirce Charles Sanders Peirce ( ; September 10, 1839 – April 19, 1914) was an American scientist, mathematician, logician, and philosopher who is sometimes known as "the father of pragmatism". According to philosopher Paul Weiss (philosopher), Paul ...
,
Giuseppe Peano Giuseppe Peano (; ; 27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much Mathematical notati ...
and his school, and especially to ''
The Principles of Mathematics ''The Principles of Mathematics'' (''PoM'') is a 1903 book by Bertrand Russell, in which the author presented Russell's paradox, his famous paradox and argued his thesis that mathematics and logic are identical. The book presents a view of ...
'' by Couturat's friend and correspondent
Bertrand Russell Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British philosopher, logician, mathematician, and public intellectual. He had influence on mathematics, logic, set theory, and various areas of analytic ...
. Like Russell, Couturat saw symbolic logic as a tool to advance both mathematics and the
philosophy of mathematics Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship to other areas of philosophy, particularly epistemology and metaphysics. Central questions posed include whether or not mathem ...
. In this, he was opposed by
Henri Poincaré Jules Henri Poincaré (, ; ; 29 April 185417 July 1912) was a French mathematician, Theoretical physics, theoretical physicist, engineer, and philosophy of science, philosopher of science. He is often described as a polymath, and in mathemati ...
, who took considerable exception to Couturat's efforts to interest the French in symbolic logic. With the benefit of hindsight, we can see that Couturat was in broad agreement with the
logicism In the philosophy of mathematics, logicism is a programme comprising one or more of the theses that – for some coherent meaning of 'logic' – mathematics is an extension of logic, some or all of mathematics is reducible to logic, or some or al ...
of Russell, while Poincaré anticipated Brouwer's
intuitionism In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism), is an approach where mathematics is considered to be purely the result of the constructive mental activity of humans rather than the discovery of fu ...
. His first major publication was ''De Platonicis mythis'' (1896). In 1901, he published ''La Logique de Leibniz'', a detailed study of
Leibniz Gottfried Wilhelm Leibniz (or Leibnitz; – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat who is credited, alongside Sir Isaac Newton, with the creation of calculus in addition to many ...
the logician, based on his examination of the huge Leibniz ''
Nachlass ''Nachlass'' (, older spelling ''NachlaĂź'') is a German language, German word, used in academia to describe the collection of manuscripts, notes, correspondence, and so on left behind when a scholar dies. The word is a compound word, compound in ...
'' in Hanover. Even though Leibniz had died in 1716, his ''Nachlass'' was cataloged only in 1895. Only then was it possible to determine the extent of Leibniz's unpublished work on logic. In 1903, Couturat published much of that work in another large volume, his ''Opuscules et Fragments Inedits de Leibniz'', containing many of the documents he had examined while writing ''La Logique''. Couturat was thus the first to appreciate that Leibniz was the greatest logician during the more than 2000 years that separate
Aristotle Aristotle (; 384–322 BC) was an Ancient Greek philosophy, Ancient Greek philosopher and polymath. His writings cover a broad range of subjects spanning the natural sciences, philosophy, linguistics, economics, politics, psychology, a ...
from
George Boole George Boole ( ; 2 November 1815 – 8 December 1864) was a largely self-taught English mathematician, philosopher and logician, most of whose short career was spent as the first professor of mathematics at Queen's College, Cork in Ireland. H ...
and
Augustus De Morgan Augustus De Morgan (27 June 1806 – 18 March 1871) was a British mathematician and logician. He is best known for De Morgan's laws, relating logical conjunction, disjunction, and negation, and for coining the term "mathematical induction", the ...
. A significant part of the 20th century Leibniz revival is grounded in Couturat's editorial and exegetical efforts. This work on Leibniz attracted Russell, also the author of a 1900 book on Leibniz, and thus began their professional correspondence and friendship. In 1905, Couturat published a work on logic and the
foundations of mathematics Foundations of mathematics are the mathematical logic, logical and mathematics, mathematical framework that allows the development of mathematics without generating consistency, self-contradictory theories, and to have reliable concepts of theo ...
(with an appendix on Kant's philosophy of mathematics) that was originally conceived as a translation of Russell's ''Principles of Mathematics''. In the same year, he published ''L'Algèbre de la logique'', a classic introduction to
Boolean algebra In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variable (mathematics), variables are the truth values ''true'' and ''false'', usually denot ...
and the works of C.S. Peirce and Ernst Schröder. In 1907, Couturat helped found the
constructed language A constructed language (shortened to conlang) is a language whose phonology, grammar, orthography, and vocabulary, instead of having developed natural language, naturally, are consciously devised for some purpose, which may include being devise ...
Ido Ido () is a constructed language derived from a reformed version of Esperanto, and designed similarly with the goal of being a universal second language for people of diverse languages. To function as an effective ''international auxiliary ...
, an offshoot of
Esperanto Esperanto (, ) is the world's most widely spoken Constructed language, constructed international auxiliary language. Created by L. L. Zamenhof in 1887 to be 'the International Language' (), it is intended to be a universal second language for ...
, and was Ido's principal advocate over the remainder of his life. By advocating a constructed international language, constructed along logical principles and with a vocabulary taken from existing European languages, Couturat was paralleling Peano's advocacy of
Interlingua Interlingua (, ) is an international auxiliary language (IAL) developed between 1937 and 1951 by the American International Auxiliary Language Association (IALA). It is a constructed language of the "naturalistic" variety, whose vocabulary, ...
. By pushing Ido, Couturat walked in Leibniz's footsteps: Leibniz called for the creation a universal symbolic and conceptual language he named the
characteristica universalis The Latin term ''characteristica universalis'', commonly interpreted as ''universal characteristic'', or ''universal character'' in English, is a universal and formal language imagined by Gottfried Leibniz able to express mathematical, scienti ...
. Couturat, a confirmed
pacifist Pacifism is the opposition to war or violence. The word ''pacifism'' was coined by the French peace campaigner Émile Arnaud and adopted by other peace activists at the tenth Universal Peace Congress in Glasgow in 1901. A related term is ''a ...
, was killed when his car was hit by a car carrying orders for the mobilization of the
French Army The French Army, officially known as the Land Army (, , ), is the principal Army, land warfare force of France, and the largest component of the French Armed Forces; it is responsible to the Government of France, alongside the French Navy, Fren ...
, in the first stage of
World War I World War I or the First World War (28 July 1914 – 11 November 1918), also known as the Great War, was a World war, global conflict between two coalitions: the Allies of World War I, Allies (or Entente) and the Central Powers. Fighting to ...
. He appears as a character in Joseph Skibell's 2010 novel, ''A Curable Romantic''.


Works

* 1896
''De Platonicis mythis''
''Thesim Facultati Litterarum Parisiensi proponebat Ludovicus Couturat, Scholae Normalae olim alumnus''. Parisiis: Felix Alcan Bibliopola. 120 p. * 1896:
De l'Infini mathématique
'. Republished 1975, Georg Olms. * 1901:
La Logique de Leibniz
'. Republished 1961, Georg Olms
Donald Rutherford's English translation in progress.
* 1903: ''Opuscules et Fragments Inédits de Leibniz''. Republished 1966, Georg Olms. * 1903: (with Léopold Leau
''Histoire de la langue universelle''
Paris: Hachette. Republished 2001, Olms. * 1905.
Les Principes des Mathématiques: avec un appendice sur la philosophie des mathématiques de Kant
'. Republished 1965, Georg Olms. * 1905:
L'Algèbre de la logique
'. 1914: P. E. B. Jourdain translator
The Algebra of Logic
Open Court, from
Project Gutenberg Project Gutenberg (PG) is a volunteer effort to digitize and archive cultural works, as well as to "encourage the creation and distribution of eBooks." It was founded in 1971 by American writer Michael S. Hart and is the oldest digital li ...
. * 1906: ¨''Pour la langue internationale'', Päris * 1907: (with Léopold Leau) ''Les nouvelles langues internationales''. Paris: Hachette, republished 2001, Olms. * 1910: ''Étude sur la dérivation dans la langue internationale''. Paris: Delagrave. 100 p. * 1910: (with
Otto Jespersen Jens Otto Harry Jespersen (; 16 July 1860 – 30 April 1943) was a Danish linguist who worked in foreign-language pedagogy, historical phonetics, and other areas, but is best known for his description of the grammar of the English language. Ste ...
, R. Lorenz, Wilhelm Ostwald and L.Pfaundler)
International Language and Science: Considerations on the Introduction of an International Language into Science
', Constable and Company Limited, London. * 1915: (with Louis de Beaufront) ''Dictionnari Français-Ido''. Paris: Chaix, 586 p.


References


Sources

* Proceedings of a conference. * Bibliography contains 27 items by Couturat.


External links

* *
Auteur Couturat
on French Wikisource * * {{DEFAULTSORT:Couturat, Louis 1868 births 1914 deaths People from Ris-Orangis Linguists from France French logicians French mathematicians 19th-century French philosophers 20th-century French philosophers École Normale Supérieure alumni Idists Constructed language creators Logicians Road incident deaths in France French male writers French philosophers of language