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Alexandre Deulofeu i Torres (20 September 1903, in L'Armentera – 27 December 1978, in
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
) was a Catalan politician and philosopher of history. He wrote about what he called the ''Mathematics of History'', a cyclical theory on the
evolution Evolution is the change in the heritable Phenotypic trait, characteristics of biological populations over successive generations. It occurs when evolutionary processes such as natural selection and genetic drift act on genetic variation, re ...
of
civilization A civilization (also spelled civilisation in British English) is any complex society characterized by the development of state (polity), the state, social stratification, urban area, urbanization, and symbolic systems of communication beyon ...
s.


Biography

Deulofeu was born at l'Armentera in the province of
Girona Girona (; ) is the capital city of the Province of Girona in the autonomous community of Catalonia, Spain, at the confluence of the Ter, Onyar, Galligants, and Güell rivers. The city had an official population of 106,476 in 2024, but the p ...
,
Catalonia Catalonia is an autonomous community of Spain, designated as a ''nationalities and regions of Spain, nationality'' by its Statute of Autonomy of Catalonia of 2006, Statute of Autonomy. Most of its territory (except the Val d'Aran) is situate ...
, where his father was a pharmacist. When he was three years old his family moved to
Sant Pere Pescador Sant Pere Pescador () is a municipality in the '' comarca'' of Alt Empordà, Girona, Catalonia Catalonia is an autonomous community of Spain, designated as a ''nationalities and regions of Spain, nationality'' by its Statute of Autonomy o ...
, and then to
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
nine years later. He attended high school in the Institut Ramon Muntaner of Figueres. Later he studied pharmacy and chemistry in
Madrid Madrid ( ; ) is the capital and List of largest cities in Spain, most populous municipality of Spain. It has almost 3.5 million inhabitants and a Madrid metropolitan area, metropolitan area population of approximately 7 million. It i ...
, completing his studies in chemistry in Barcelona. Once back in Figueres, after a competitive examination he was awarded a teaching post at the Institute of Figueres. At the same time, he became strongly involved in politics. First he was a leader of the Republican Nationalist Youth in Empordà and afterwards he became a town councilor of the independentist party ERC (''Esquerra Republicana de Catalunya''). During the
Spanish Civil War The Spanish Civil War () was a military conflict fought from 1936 to 1939 between the Republican faction (Spanish Civil War), Republicans and the Nationalist faction (Spanish Civil War), Nationalists. Republicans were loyal to the Left-wing p ...
he became mayor of Figueres by chance, and while serving in this office he tried to keep the peace, and prevent looting and political witch hunts. He also served in the Republican Army as a health officer. On 5 February 1939, Deulofeu accompanied the defeated republican forces into exile where he followed several trades: working as a teacher of various subjects; experimenting with farming, particularly
hydroponics Hydroponics is a type of horticulture and a subset of #Passive sub-irrigation, hydroculture which involves growing plants, usually crops or medicinal plants, without soil, by using water-based mineral Plant nutrition, nutrient Solution (chemi ...
inventing his own growth solutions; working as a bricklayer, as a factory worker, and as a writer and poet. He played the violin and the saxophone in several music groups, both modern and classical. After returning from exile on 22 January 1947 he dedicated himself to pharmacy, carried out research and continued to write, although he died without finishing the extended version of his main work, ''Mathematics of History''. During his life he was friends with Francesc Pujols and
Salvador Dalí Salvador Domingo Felipe Jacinto Dalí i Domènech, Marquess of Dalí of Púbol (11 May 190423 January 1989), known as Salvador Dalí ( ; ; ), was a Spanish Surrealism, surrealist artist renowned for his technical skill, precise draftsmanship, ...
.


Theories

Deulofeu argued that civilizations and empires go through cycles which correspond to the natural cycles of living beings. Each civilization passes through a minimum of three 1700-year cycles. As part of civilizations, empires have an average lifespan of 550 years. He also stated that by knowing the nature of these cycles, it could be possible to modify the cycles in such a way that change could be peaceful instead of leading to war. He wanted mankind to modify the cycles and bring about a universal confederation of free people. His mathematical laws related to the evolution of people can be summarized as below (Chapter III of ''Mathematics of History'', 1967 edition): # All people pass through alternating periods of demographic division and periods of unification or imperialism. # The periods of great division last six centuries and a half. The periods of great unification last ten centuries and a half. Therefore, the evolutionary cycle comprises seventeen centuries. # During this evolutionary process people go through clearly defined phases, finding themselves at the end of the cycle in the same position as in the beginning. # The evolutionary cycle encompasses all types of human activity, besides considering political cycles we must also consider social, artistic, philosophical and scientific cycles. # All people follow the same evolution more or less rapidly depending on the geographic characteristics of each country. # Not all people display the same creative impulse. In each cycle there are periods of maximum creativity and these periods continue from one cycle to the next. In
Europe Europe is a continent located entirely in the Northern Hemisphere and mostly in the Eastern Hemisphere. It is bordered by the Arctic Ocean to the north, the Atlantic Ocean to the west, the Mediterranean Sea to the south, and Asia to the east ...
, this passes in the Mediterranean from the East to West and then from the
Iberian Peninsula The Iberian Peninsula ( ), also known as Iberia, is a peninsula in south-western Europe. Mostly separated from the rest of the European landmass by the Pyrenees, it includes the territories of peninsular Spain and Continental Portugal, comprisin ...
to
Gaul Gaul () was a region of Western Europe first clearly described by the Roman people, Romans, encompassing present-day France, Belgium, Luxembourg, and parts of Switzerland, the Netherlands, Germany, and Northern Italy. It covered an area of . Ac ...
, then to the British Isles and on to the Germanic people and finally reaching the Northern and Slavic people. # The imperialist nuclei, which give rise to periods of strong political unification, follow identical organic processes, which last five to six centuries. # The transformation of sociopolitical regimes does not take place following a constant upward or downward trend, but by means of forward and backward steps, each being alternatively more intense than the others. This results in a broken line, which is an advancement in a given direction. It is what is called ''The Law of two steps forward and one backwards''. Deulofeu's thoughts are related to the ideas of
Oswald Spengler Oswald Arnold Gottfried Spengler (29 May 1880 – 8 May 1936) was a German polymath whose areas of interest included history, philosophy, mathematics, science, and art, as well as their relation to his organic theory of history. He is best know ...
and Arnold J. Toynbee, who also theorised on the cyclical character of civilizations, but not in the same precise mathematical way as Deulofeu. A lifelong visitor of museums, temples and monuments in different countries, Deulofeu believed he had found the origin of
Romanesque art Romanesque art is the art of Europe from approximately 1000 AD to the rise of the Gothic Art, Gothic style in the 12th century, or later depending on region. The preceding period is known as the Pre-Romanesque period. The term was invented by 1 ...
, during the 9th century, in an area between Empordà and
Roussillon Roussillon ( , , ; , ; ) was a historical province of France that largely corresponded to the County of Roussillon and French Cerdagne, part of the County of Cerdagne of the former Principality of Catalonia. It is part of the region of ' ...
, which he argued was the cradle of the second cycle of western European civilization.


References

* ' (''Catalonia and future Europe''),
Barcelona Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within c ...
, Llibreria Catalònia, 1934 (Foreword by Antoni Rovira i Virgili. Facsimile edition, 1978). * ' (''Catalonia 1932-1934''),
Barcelona Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within c ...
, Llibreria Catalònia), 1935. * ' (''Structural chemistry, part I''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Edicions de l'Escola del Treball, 1937. * ' (''Social evolution''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Edicions de l'Escola del Treball, 1937 (there is a second, unpublished, volume). * Alejandro Deulofeu. ', and ' (''Atomic energy in the service of chemistry'', and ''Atomic energy and ionic energy''), cyclostyle editions for Breviata Médica (service of medical information of the Leti and Uquita Laboratories),
Barcelona Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within c ...
, 1949. * Alejandro Deulofeu. ' (''Mathematics of History''),
Barcelona Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within c ...
, Aymà Edicions, 1951. * Alejandro Deulofeu. ' (''Atomic energy in the service of chemistry''),
Barcelona Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within c ...
, Editorial Emporitana, 1952. * Alejandro Deulofeu. ' (''Naked Europe''),
Barcelona Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within c ...
, Editorial Emporitana, 1954. * Alejandro Deulofeu. ' (''Birth, greatness and death of civilizations''),
Barcelona Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within c ...
, Casa del Libro, 1956 (volume I in Spanish of ''Mathematics of History''). * ' (''The mathematics of history in western culture''), "" ("The authors of the paper bird").
Barcelona Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within c ...
, Editex, 1957. * Alejandro Deulofeu. ' (''The great errors of History. From servilism to democracy'').
Barcelona Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within c ...
, Aymà Edicions, 1958 (volume II in Spanish of ''Mathematics of History''). * ' (''Empordà, the cradle of Romanesque art''),
Barcelona Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within c ...
, Gràfiques Diamant, 1961. * Alejandro Deulofeu. ''El Ampurdán, cuna del arte románico'' (''Empordà, the cradle of Romanesque art''),
Barcelona Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within c ...
, Gràfiques Diamant, 1962. * ' (''Catalonia, origin of mediaeval painting''),
Barcelona Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within c ...
, Ed. Selecta, 1963. * Alejandro Deulofeu. ''Cataluña, origen de la pintura medieval'' (''Catalonia, origin of mediaeval painting''),
Barcelona Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within c ...
, Ed.Selecta, 1963. * ' (''Mathematics of History''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Editorial Emporitana, 1967. * Foreword to the book of Carles Fages de Climent ''Vilasacra, capital del món'' (''Vilasacra, capital city of the world''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Ed. Pérgamo, 1st edition 1967, 2nd edition 1977, 3rd edition 1993. * ' (''Empordà-Rosselló, the cradle of Romanesque sculpture''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Editorial Emporitana, 1968 (pictures by Joaquim Fort de Ribot). * ' (''European cultures. The first historic surge of great demographic fragmentation''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Editorial Emporitana, 1969 (volume III in Catalan of ''Mathematics of History''). * ' (''Peace in the world through Mathematics of History''),
Barcelona Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within c ...
, Ed. Pòrtic, 1970. * ' (''Birth, greatness and death of civilisations''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Editorial Emporitana, 1970 (volume I in Catalan of ''Mathematics of History''). * ' (''The monastery of Sant Pere de Roda. Its importance, history and art''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Editorial Emporitana, 1970. * ' (''Great errors of History''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Editorial Emporitana, 1971 (volume II in Catalan of ''Mathematics of History''). * ' (''Empires at war, part I (Persian, Macedonian, Carthaginian, Roman and Byzantine)''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Editorial Emporitana, 1972 (volume IV in Catalan of ''Mathematics of History''). * ' (''Empordà, the cradle of Romanesque art''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Editorial Emporitana, 1972. * Alejandro Deulofeu. ''La paz mundial por la Matemática de la Historia'' (''World peace through the Mathematics of History''),
Barcelona Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within c ...
, Ed. Pòrtic Hispànic, 1973. * ' (''Empires at war, second part (Teutonic, Anglosaxon, Polish, Danish, Norwegian, Viking, Lithuanian, Swedish, Muscovite)''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Editorial Emporitana, 1973 (volume V in Catalan of ''Mathematics of History''). * ' (''The second European cycle. The political and social process''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Editorial Emporitana, 1974 (volume VI in Catalan of ''Mathematics of History''). * ' (''Memories of the revolution, of war and of exile''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Editorial Emporitana, 1975, two volumes. * Preliminary words in the book by Sebastià Delclos, ' (''Guide to the Romanesque style in Alt Empordà''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Centre Escursionista Empordanès, 1975. * ' (''Catalonia, mother of European culture''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Editorial Emporitana, 1977 (volume VII in Catalan of ''Mathematics of History''). * ' (''The second imperial surge in Europe''),
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, Editorial Emporitana, 1977 (volume VIII in Catalan of ''Mathematics of History''). * Alejandro Deulofeu. ' (''Birth, greatness and death of civilisations''),
Buenos Aires Buenos Aires, controlled by the government of the Autonomous City of Buenos Aires, is the Capital city, capital and largest city of Argentina. It is located on the southwest of the Río de la Plata. Buenos Aires is classified as an Alpha− glob ...
, Ed. Plus Ultra, 1978 (special edition for
South America South America is a continent entirely in the Western Hemisphere and mostly in the Southern Hemisphere, with a considerably smaller portion in the Northern Hemisphere. It can also be described as the southern Subregion#Americas, subregion o ...
, foreword by Abelardo F. Gabancho). * ' (''The Iranian-Sumerian-Chaldaic, Hittite and Egyptian cultures'').
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
. Realization: Amics de l'Albera i Cap de Creus, Centre Escursionista Empordanès, posthumous edition 2005 (volume IX in Catalan of ''Mathematics of History''). * ' (''History of the universal art'').
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
. Realization: Amics de l'Albera i Cap de Creus, Centre Escursionista Empordanès, posthumous edition, October 2008. * '. (''Articles and other writings. The last words'').
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
. Realization: Amics de l'Albera i Cap de Creus (APNACC) and Centre Excursionista Empordanès (CEE), design and monitoring: Juli Gutiérrez Deulofeu, posthumous edition, June 2012.


Sources

* ''Alexandre Deulofeu''.
Figueres Figueres (; ) is the capital city of Alt Empordà county, in the Girona region, Catalonia, Spain. The town is the birthplace of artist Salvador Dalí, and houses the Dalí Theatre and Museum, a large museum designed by Dalí himself which att ...
, town council of Figueres, Institut d'Estudis Empordanesos, Patronat Francesc Eiximenis, 2003. * Juli Gutiérrez Deulofeu. ''Alexandre Deulofeu, la Matemàtica de la Història'' (''Alexandre Deulofeu, the Mathematics of History''). Barcelona, Llibres de l’Índex / Neopàtria, 2004. * Enric Pujol, Jordi Casassas, Francesc Roca, Juli Gutiérrez Deulofeu. ''La Matemàtica de la Història. La teoria cíclica d’Alexandre Deulofeu'' (''Mathematics of History. The cyclic theory of Alexandre Deulofeu''), Figueres, Brau Edicions, 2005. * Ferdinando Angeletti, ''Storicismo matematico e pacifismo scientifico: due esempi di determinismo storico della metà del XX secolo'' in ''Iconografie europee'' di Walter Montanari e Shirin Zakeri (a cura di), Roma, Nuova Cultura 2021, ISBN 9788833653686;


External links


Alexandre Deulofeu web
{{DEFAULTSORT:Deulofeu, Alexandre 1903 births 1978 deaths 20th-century Spanish historians Spanish pacifists Historiographers Historians of Europe