As a point of departure, thinkers had taken the most changeable character of these civilizations, that is, its soul and culture, and the conclusion had been that instead of reaching a total synthesis, they had done it to get the opposite result, as Dr. Deulofeu has proven in his complete work of the mathematics of history (24 volumes), still not published, placing in chronological order the historical facts of the different nations, for which he places the first part of this work outside of any discussion since they are historical events and the Mathematics of History is not a philosophical interpretation or a special vision of history.
Accordingly, once the mathematical law has been understood, dear reader, in the pages of historical text of your library, you can mark and refer to the curve corresponding to historical events and you will obtain the curve of the empire, of the individual liberty and the mathematical-sociological law of the country or countries you are interested in, said mark being left in your book to verify in this manner, objectively, that the mathematics of history is the Law of History and wherefore, its true concept.
Neither its degree of creative power nor its mentalities, nor its religion may serve as a base to achieve the causes and the evolution of nations. This total lack of orientation is manifested by Oswaldo Spengler in The Decadence of the West; he says: “An uncontainable mass of human beings, a shore less torrent that is born in the gloomy past, there where our feeling of time loses its sense of effective order and the restless fantasy, or terror, evokes the image of geological periods, to hide an undecipherable enigma behind it, a torrent that will be lost in a future that is so dark and out of time as the past, such is the background on which the Faustian image of human history is based. The uniform surge of innumerable generations moves the wide surface. Radiant flashes of light cut through the areas. Uncertain lights excitedly shake, making the clear mirror muddled, they are confused, they shine, they disappear. We have called them races, people, tribes. They make up a series of generations in a limited circle of the historical surface and when the creative force is extinguished within them, a very variable force – which prefixes on those phenomena a duration and plasticity that is also quite variable – they extinguish themselves, the features, the linguistic, spiritual characters and the historical concretion again dissolves itself in the case of generations”.
These words express that failure in search of a law that would order the evolution of these cultures, could not be more absolute, however, the law existed, what was missing was finding the regular and constant variable in all nations and in all cultures that determine it.
Neither Spengler, nor Toynbee, nor any one who may have preceded the author of the Mathematics of History in this excursion within history, were able to find it, and, as he himself says, it is understandable that they did not find it, since they searched for it in those changeable unstable abilities of men, starting from factors of psychological, intellectual or moral order, since each one of us is different. However, if we observe that the birth of a child is followed by his growth, his complete development, his old age and his death, on these bases we can affirm that other children will follow a similar process and the possibility of deducing a law from these events can be found. Similarly, in activities in which a common law cannot be found in the moral or intellectual order, it may be found in its biological aspect. This is where Dr. Deulofeu found the mathematical law that arranges the evolution of nations and the appearance of great cultures.
[MATHEMATICAL-HISTORICAL PRINCIPLES]
1. Great Strategic Victories with the domain of phases corresponding to great aggressive processes. Victory is a constant and it is the conclusion of every attack. It is the phase of Great Offensives.
2. Victory in the defense is a characteristic of the era of Great Demographic Fractionation. Strategic victories are reserved to the defensive. An offensive with success is only obtained in order to enforce the defense of the region. It is the defense and the counter-offense phase.
3. The strongest strategic weakness is characteristic of the Great Depression.
4. Disintegration is the phase where strategic offensives are useless to back up the continental or intercontinental empire. The strategic potential is effective for the imperial body or nation, but it is always useless for the second empire of the cycle, that is, when the nation is about to enter the era of great demographic fractionation.