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Louis Couturat (; 17 January 1868 – 3 August 1914) was a
French French (french: français(e), link=no) may refer to: * Something of, from, or related to France ** French language, which originated in France, and its various dialects and accents ** French people, a nation and ethnic group identified with Franc ...
logic Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from prem ...
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, structure, space, models, and change. History On ...
,
philosopher A philosopher is a person who practices or investigates philosophy. The term ''philosopher'' comes from the grc, φιλόσοφος, , translit=philosophos, meaning 'lover of wisdom'. The coining of the term has been attributed to the Greek th ...
, and
linguist Linguistics is the scientific study of human language. It is called a scientific study because it entails a comprehensive, systematic, objective, and precise analysis of all aspects of language, particularly its nature and structure. Lingu ...
. Couturat was a pioneer of the
constructed language A constructed language (sometimes called a conlang) is a language whose phonology, grammar, and vocabulary, instead of having developed naturally, are consciously devised for some purpose, which may include being devised for a work of fiction. ...
Ido.


Life and education

Born in Ris-Orangis,
Essonne Essonne () is a department of France in the southern Île-de-France region. It is named after the river Essonne. In 2019, it had a population of 1,301,659 across 194 communes.École Normale Supérieure École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, S ...
to study
philosophy Philosophy (from , ) is the systematized study of general and fundamental questions, such as those about existence, reason, knowledge, values, mind, and language. Such questions are often posed as problems to be studied or resolved. ...
and
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
. In 1895 he lectured in philosophy at the University of Toulouse and 1897 lectured in
philosophy of mathematics The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand the nature and methods of mathematics, and find out the place of mathematics in people' ...
at the University of Caen Normandy, taking a stand in favor of
transfinite number In mathematics, transfinite numbers are numbers that are " infinite" in the sense that they are larger than all finite numbers, yet not necessarily absolutely infinite. These include the transfinite cardinals, which are cardinal numbers used to q ...
s. After a time in
Hanover Hanover (; german: Hannover ; nds, Hannober) is the capital and largest city of the German state of Lower Saxony. Its 535,932 (2021) inhabitants make it the 13th-largest city in Germany as well as the fourth-largest city in Northern Germany ...
studying the writings of
Leibniz Gottfried Wilhelm (von) Leibniz . ( – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat. He is one of the most prominent figures in both the history of philosophy and the history of ma ...
, he became an assistant to Henri-Louis Bergson at the
Collège de France The Collège de France (), formerly known as the ''Collège Royal'' or as the ''Collège impérial'' founded in 1530 by François I, is a higher education and research establishment ('' grand établissement'') in France. It is located in Paris n ...
in 1905.


Career

He was ''the'' French advocate of the
symbolic logic Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory. Research in mathematical logic commonly addresses the mathematical properties of formal ...
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 philosopher, logician, mathematician and scientist who is sometimes known as "the father of pragmatism". Educated as a chemist and employed as a scientist for ...
, Giuseppe Peano and his school, and especially to '' The Principles of Mathematics'' by Couturat's friend and correspondent
Bertrand Russell Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British mathematician, philosopher, logician, and public intellectual. He had a considerable influence on mathematics, logic, set theory, linguistics, a ...
. Like Russell, Couturat saw symbolic logic as a tool to advance both mathematics and the
philosophy of mathematics The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand the nature and methods of mathematics, and find out the place of mathematics in people' ...
. In this, he was opposed by
Henri Poincaré Jules Henri Poincaré ( S: stress final syllable ; 29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science. He is often described as a polymath, and in mathematics as "Th ...
, 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 all ...
of Russell, while Poincaré anticipated
Brouwer Brouwer (also Brouwers and de Brouwer) is a Dutch and Flemish surname. The word ''brouwer'' means 'beer brewer'. Brouwer * Adriaen Brouwer (1605–1638), Flemish painter * Alexander Brouwer (b. 1989), Dutch beach volleyball player * Andries Brou ...
'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 f ...
. His first major publication was Couturat (1896). In 1901, he published ''La Logique de Leibniz'', a detailed study of
Leibniz Gottfried Wilhelm (von) Leibniz . ( – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat. He is one of the most prominent figures in both the history of philosophy and the history of ma ...
the logician, based on his examination of the huge Leibniz ''
Nachlass ''Nachlass'' (, older spelling ''Nachlaß'') is a 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 in German: ''nach'' means "after ...
'' 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 (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of ...
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 ...
and Augustus De Morgan. 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 is the study of the philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathe ...
(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 variables are the truth values ''true'' and ''false'', usually denoted 1 and 0, whereas i ...
and the works of
C.S. Peirce Charles Sanders Peirce ( ; September 10, 1839 – April 19, 1914) was an American philosopher, logician, mathematician and scientist who is sometimes known as "the father of pragmatism". Educated as a chemist and employed as a scientist for t ...
and Ernst Schröder. In 1907, Couturat helped found the
constructed language A constructed language (sometimes called a conlang) is a language whose phonology, grammar, and vocabulary, instead of having developed naturally, are consciously devised for some purpose, which may include being devised for a work of fiction. ...
Ido, an offshoot of
Esperanto Esperanto ( or ) is the world's most widely spoken constructed international auxiliary language. Created by the Warsaw-based ophthalmologist L. L. Zamenhof in 1887, it was intended to be a universal second language for international communic ...
, 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 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 notation. The sta ...
's advocacy of Interlingua. 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 or resistance to war, militarism (including conscription and mandatory military service) or violence. Pacifists generally reject theories of Just War. The word ''pacifism'' was coined by the French peace campai ...
, was killed when his car was hit by a car carrying orders for the mobilization of the
French Army History Early history The first permanent army, paid with regular wages, instead of feudal levies, was established under Charles VII of France, Charles VII in the 1420 to 1430s. The Kings of France needed reliable troops during and after the ...
, in the first stage of
World War I World War I (28 July 1914 11 November 1918), often abbreviated as WWI, was List of wars and anthropogenic disasters by death toll, one of the deadliest global conflicts in history. Belligerents included much of Europe, the Russian Empire, ...
. He appears as a character in
Joseph Skibell Joseph Skibell (born October 18, 1959) is a novelist and essayist living in Atlanta, Georgia and Tesuque, New Mexico. Skibell is the author of three novels, which use elements of history and fantasy, a collection of true stories, and a forthc ...
'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

* 1903: ''Opuscules et Fragments Inédits de Leibniz''. Republished 1966, Georg Olms. * 1903: (with
Léopold Leau Léopold Leau (1868-1943) was a French mathematician, primarily known for his ties to international auxiliary languages. The Delegation for the Adoption of an International Auxiliary Language was founded on 7 January 1901 on Leau's initiative. ...

''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 Open or OPEN may refer to: Music * Open (band), Australian pop/rock band * The Open (band), English indie rock band * ''Open'' (Blues Image album), 1969 * ''Open'' (Gotthard album), 1999 * ''Open'' (Cowboy Junkies album), 2001 * ''Open'' (YF ...
, 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 libr ...
. * 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 specialized in the grammar of the English language. Steven Mithen described him as "one of the greatest language scholars of the nineteenth and twentieth ce ...
, 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 French philosophers École Normale Supérieure alumni Idists Constructed language creators Logicians Road incident deaths in France French male writers Philosophers of language