Jean Cavaillès
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Jean Cavaillès (; ; 15 May 1903 – 4 April 1944) was a French philosopher and logician who specialized 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 ...
and
philosophy of science Philosophy of science is the branch of philosophy concerned with the foundations, methods, and implications of science. Amongst its central questions are the difference between science and non-science, the reliability of scientific theories, ...
. He took part in the
French Resistance The French Resistance ( ) was a collection of groups that fought the German military administration in occupied France during World War II, Nazi occupation and the Collaboration with Nazi Germany and Fascist Italy#France, collaborationist Vic ...
within the '' Libération'' movement and was arrested by the
Gestapo The (, ), Syllabic abbreviation, abbreviated Gestapo (), was the official secret police of Nazi Germany and in German-occupied Europe. The force was created by Hermann Göring in 1933 by combining the various political police agencies of F ...
on 17 February 1944 and shot on 4 April 1944.


Early life and education

Cavaillès was born in Saint-Maixent,
Deux-Sèvres Deux-Sèvres (, Poitevin-Saintongese: ''Deùs Saevres'') is a French department. ''Deux-Sèvres'' literally means "two Sèvres": the Sèvre Nantaise and the Sèvre Niortaise are two rivers which have their sources in the department. It had a ...
. After passing his first baccalauréat in 1919 and baccalauréats in mathematics and philosophy the following year, he studied at the Lycée Louis-le-Grand, including two years of '' classes préparatoires'', before entering the
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 ...
in 1923, reading philosophy. In 1927 he passed the '' agrégation'' competitive exam. He began graduate studies in Philosophy in 1928 under the supervision of Léon Brunschvicg. Cavaillès won a
Rockefeller Foundation The Rockefeller Foundation is an American private foundation and philanthropic medical research and arts funding organization based at 420 Fifth Avenue, New York City. The foundation was created by Standard Oil magnate John D. Rockefeller (" ...
scholarship in 1929–1930. In 1931 he travelled extensively in Germany; in Göttingen he conceived, jointly with
Emmy Noether Amalie Emmy Noether (23 March 1882 – 14 April 1935) was a German mathematician who made many important contributions to abstract algebra. She also proved Noether's theorem, Noether's first and Noether's second theorem, second theorems, which ...
, the project of publishing the Cantor- Dedekind correspondence. He was a teaching assistant at the École Normale Supérieure between 1929 and 1935, then teacher at the lycée d'Amiens (now lycée Louis-Thuillier) in 1936. In 1937, he successfully defended his doctoral theses at the
University of Paris The University of Paris (), known Metonymy, metonymically as the Sorbonne (), was the leading university in Paris, France, from 1150 to 1970, except for 1793–1806 during the French Revolution. Emerging around 1150 as a corporation associated wit ...
and became a
Doctor of Letters Doctor of Letters (D.Litt., Litt.D., Latin: ' or '), also termed Doctor of Literature in some countries, is a terminal degree in the arts, humanities, and social sciences. In the United States, at universities such as Drew University, the degree ...
in Philosophy. He was then appointed '' maître de conférences'' in Logic and in General Philosophy at the University of Strasbourg.


World War II

After the outbreak of World War II, he was mobilized in 1939 as an infantry lieutenant with the 43rd Regiment and was later attached to the Staff of the 4th Colonial Division. He was honoured for bravery twice and was captured on 11 June 1940. At the end of July 1940 he escaped from Belgium and fled to Clermont-Ferrand, where the university of Strasbourg was re-organized. At the end of December 1940, he met Emmanuel d'Astier de la Vigerie with whom he created a small group of resistance fighters, known as "the Last Column". To reach a broader audience, they created a newspaper which was to become '' Libération''. It served as the mouthpiece of both '' Libération-Sud'' and '' Libération-Nord''. Cavaillès took an active part in editing the paper. The first edition appeared in July 1941. In 1941, he was appointed professor at the Sorbonne and left Clermont-Ferrand for
Paris Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of ci ...
, where he helped form the Libération-Nord resistance group, becoming part of its management committee. In April 1942, at the instigation of
Christian Pineau Christian Pineau (; 14 October 1904 – 5 April 1995) was a noted French Resistance fighter, who later served an important term as Minister of Foreign Affairs from 1956 through 1958. Life and career Pineau was born in 1904 in Chaumont-en-Bass ...
, the central Office of Information and Action ( BCRA) of London charged him with the task of forming an intelligence network in the Northern Zone, known as "Cohors". He was ordered by
Christian Pineau Christian Pineau (; 14 October 1904 – 5 April 1995) was a noted French Resistance fighter, who later served an important term as Minister of Foreign Affairs from 1956 through 1958. Life and career Pineau was born in 1904 in Chaumont-en-Bass ...
to pass into the Southern Zone, and Cavaillès headed the network and formed similar groups in Belgium and the north of France. In September 1942 he was arrested with Pineau in Narbonne by the French police. After a failed escape attempt to London, he was interned in
Montpellier Montpellier (; ) is a city in southern France near the Mediterranean Sea. One of the largest urban centres in the region of Occitania (administrative region), Occitania, Montpellier is the prefecture of the Departments of France, department of ...
at the Saint-Paul d' Eyjeaux prison camp from where he escaped at the end of December 1942. The book Cavaillès wrote in prison in Montpellier in 1942 was published posthumously in 1946, edited by the epistemologist
Georges Canguilhem Georges Canguilhem (; ; 4 June 1904 – 11 September 1995) was a French philosopher and physician who specialized in epistemology and the philosophy of science (in particular, philosophy of biology, biology). Life and work Canguilhem entered t ...
and the mathematician Charles Ehresmann under the title ''Sur la logique et la theorie de la science''. Denounced as a public enemy by the Vichy regime and sought by the police, he fled clandestinely to London in February 1943. There he met General
Charles de Gaulle Charles André Joseph Marie de Gaulle (22 November 18909 November 1970) was a French general and statesman who led the Free France, Free French Forces against Nazi Germany in World War II and chaired the Provisional Government of the French Re ...
on several occasions. Back in France on 15 April he resigned from the management Committee of the ''Libération'' movement in order to dedicate himself entirely to direct action. He was in charge of the sabotage of the stores of the ''
Kriegsmarine The (, ) was the navy of Nazi Germany from 1935 to 1945. It superseded the Imperial German Navy of the German Empire (1871–1918) and the inter-war (1919–1935) of the Weimar Republic. The was one of three official military branch, branche ...
'' in
Brittany Brittany ( ) is a peninsula, historical country and cultural area in the north-west of modern France, covering the western part of what was known as Armorica in Roman Gaul. It became an Kingdom of Brittany, independent kingdom and then a Duch ...
and German radio installations on the coast. Betrayed by one of his liaison officers, he was arrested on 28 August 1943 in Paris with his sister and her brother-in-law. Tortured, imprisoned in Fresnes then in
Compiègne Compiègne (; ) is a Communes of France, commune in the Oise Departments of France, department of northern France. It is located on the river Oise (river), Oise, and its inhabitants are called ''Compiégnois'' (). Administration Compiègne is t ...
, he was transferred to the Citadel from Arras and was reported as being executed there on 17 February 1944. New research in 2015 revealed this date was incorrect and he was sentenced and executed on 4 April 1944. Buried at first in
Arras Arras ( , ; ; historical ) is the prefecture of the Pas-de-Calais department, which forms part of the region of Hauts-de-France; before the reorganization of 2014 it was in Nord-Pas-de-Calais. The historic centre of the Artois region, with a ...
under a wooden cross marked "unknown n°5", his body was exhumed in 1946 to be buried in the Crypt in the Sorbonne, in Paris.


Legacy

The Centre Cavaillès de l'
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 ...
was established in Paris in 1969, at 29 rue d'Ulm, as Centre for the Study of the History and Philosophy of Science. At the formal opening, philosopher
Georges Canguilhem Georges Canguilhem (; ; 4 June 1904 – 11 September 1995) was a French philosopher and physician who specialized in epistemology and the philosophy of science (in particular, philosophy of biology, biology). Life and work Canguilhem entered t ...
said, "A philosopher-mathematician loaded with explosives, lucid and reckless, resolute without optimism. If that's not a hero, what is a hero?" (Translated from the original
French language French ( or ) is a Romance languages, Romance language of the Indo-European languages, Indo-European family. Like all other Romance languages, it descended from the Vulgar Latin of the Roman Empire. French evolved from Northern Old Gallo-R ...
: "Un philosophe mathématicien bourré d'explosifs, un lucide téméraire, un résolu sans optimisme. Si ce n'est pas un héros, qu'est-ce qu'un héros ?") Cavaillès is honored in the Heroes of the Resistance postage stamp set. In '' L'Armée des ombres'', a 1969 film directed by Jean-Pierre Melville, the character of Luc Jardie (the Chief) was in part inspired by Cavaillès. Jardie's chief operative, recuperating from injuries in a hideaway, has only five books; the title of each is a publication of Cavaillès, though the author is shown as "Luc Jardie."


Military honours

* Chevalier de la
Légion d'honneur The National Order of the Legion of Honour ( ), formerly the Imperial Order of the Legion of Honour (), is the highest and most prestigious French national order of merit, both military and Civil society, civil. Currently consisting of five cl ...
* Compagnon de la Libération – decree of 20 November 1944 * Croix de Guerre 39/45 * Médaille de la Résistance * Officier de l'Ordre de la Couronne de Belgique (avec palme) * Médaille de la Résistance (Belgique)


Works

* ''Sur la deuxième définition des ensemble finis donnée par Dedekind'' Dedekind''">'On the second definition of finite sets given by Dedekind'' ''Fundamenta Mathematicae'', XIX, 1932, pp. 143–148. * ''L'école de Vienne au Congrès de Prague'', ''Revue de métaphysique et de morale'', XLII, 1935, pp. 137–149. * ''Briefwechsel Cantor-Dedekind'', ed. by E. Noether and J. Cavaillès, ''Actualités scientifiques et industrielles'', 518, Paris, Hermann, 1937. French translation by Charles Ehresmann in Cavaillès, ''Philosophie mathématique'', Paris, Hermann, 1962, pp. 177–252. * ''Remarques sur la formation de la théorie abstraite des ensembles'' 'Remarks on the formation of abstract set theory'' ''Actualités scientifiques et industrielles'', 606 & 607, Paris, Hermann, 1938. Reprinted in Cavaillès, ''Philosophie mathématique'', Paris, Hermann, 1962, pp. 23–176. * ''Méthode axiomatique et formalisme'' 'Axiomatic method and formalism'' ''Actualités scientifiques et industrielles'', 608, 609 & 610, Paris, Hermann, 1938. * ''Du collectif au pari'' 'From the collective to the bet'' ''Revue de métaphysique et de morale'', XLVII, 1940, pp. 139–163. * ''La pensée mathématique'' 'Mathematical thought'' discussion with Albert Lautman (February 4, 1939), ''Bulletin de la Société française de philosophie'', XL, 1946. * ''Transfini et continu'' 'Transfinite and continuum'' ''Actualités scientifiques et industrielles'', 1020, Paris, Hermann, 1947. Reprinted in Cavaillès, ''Philosophie mathématique'', Paris, Hermann, 1962, pp. 253–274. * ''Sur la logique et la théorie de la science'' 'On logic and the theory of science'' Paris, Presses universitaires de France, 1947. English translation by T. S. Kisiel in J. Kockelmans and T. Kisiel (eds), ''Phenomenology and the Natural Sciences'', Evanston, Northwestern University Press, 1970. * ''Philosophie mathématique'' 'Mathematical philosophy'' Paris, Hermann, 1962. * ''Å’uvres complètes de philosophie des sciences'' 'Complete works in philosophy of the sciences'' Paris, Hermann, 1994. English translations * ''A Cavailles and Canguilhem reader : an introduction to the French philosophy and history of science'', trans. Camille Akmut.https://osf.io/qswf3 Archive
12
https://archive.today/20241212114153/https://osf.io/qswf3 3]
76 pages.


References


Further reading

* Canguilhem, Georges. ''Vie et mort de Jean Cavaillès'' 'Life and death of Jean Cavaillès'' Paris, Allia, 1996 * Cassou-Noguès, Pierre. ''De l'expérience mathématique. Essai sur la philosophie des sciences de Jean Cavaillès'' 'On mathematical experiment: Essay on the philosophy of science of Jean Cavaillès'' Paris, Vrin, 2001 * Azema, Jean-Pierre and Aglan, Alya. ''Jean Cavaillès Résistant ou la Pensée en actes'' 'Jean Cavaillès – Resisting or thought in actions'' Paris, Flammarion, 2002 * Dominique Dubarle, "Le dernier écrit philosophique de Jean Cavaillès" in ''Revue de métaphysique et de morale'', LIII, no. 3 (Société française de philosophie, Paris, 1948) * Ferrières, Gabrielle. ''Jean Cavaillès : Un philosophe dans la guerre, 1903-1944'', fourth edition, Paris, Le Félin, 2003. First edition, as ''Jean Cavaillès philosophe résistant'', Paris, Presses universitaires de France, 1950. English translation of the second French edition of 1982, by T. N. F. Murtagh, as ''Jean Cavaillès: A Philosopher in Time of War, 1903-1944'', New York, Edward Mellen Press, 2000. * Cortois, Paul. ''Bibliographie de Jean Cavaillès'', ''Philosophia Scientiæ'', III, 1998, pp. 157–174.


External links


Ordre de la Libération
at www.ordredelaliberation.fr {{DEFAULTSORT:Cavailles, Jean 1903 births 1944 deaths People from Niort École Normale Supérieure alumni University of Paris alumni Academic staff of the University of Strasbourg Philosophers of mathematics French philosophers of science French logicians French Protestants Protestant philosophers 20th-century French philosophers Members of Liberation-Sud Deaths by firearm in France People executed by Nazi Germany by firing squad Resistance members killed by Nazi Germany Executed writers Recipients of the Resistance Medal Officers of the Order of the Crown (Belgium) Knights of the Legion of Honour Recipients of the Croix de Guerre 1939–1945 (France) French people executed by Nazi Germany French Resistance members 20th-century French mathematicians French male writers Continental philosophers 20th-century French male writers