Mathematics of History
- * Book: The Mathematics of History. By Alexandre Deulofeu.
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Description
From the Wikipedia:
"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, this passes in the Mediterranean from the East to West and then from the Iberian Peninsula to Gaul, 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 and Arnold J. Toynbee, who also theorised on the cyclical character of civilizations, but not in the same precise mathematical way as Deulofeu."