The individual is the product of a combination of germ potentialities, which, in the case of hybrids (and consequently always in the case of man, who is the product of racial intermixture), meet in accordance with the mathematical laws of probability. One might almost conceive of a formula, or, better yet, a calculation, in accordance with which the individual resulting from any given germs might be predetermined; if it were not for the fact that the calculations would become infinitely complicated through the multiplication of characteristics. With only ten pairs of characteristics it is already possible to form upward of 1024 kinds of germinal cells and these give rise to 1,000,000 different combinations.
Furthermore, through the law of dominant characteristics, the combinations of germs would produce in the descendants 1000 varieties distinguishable by their external appearance, and 60,000 differing only internally, that is, in their germinal cells.
There remains, however, one general principle: the individual contains not only his personal attributes, but also other attributes which belonged to his ancestors, and which are latent in him, and may reappear in his descendants. Consequently, if the individual is a hybrid, he must be interpreted not only through himself alone, but through the history of his family; and the characteristics which he may transmit are not those of his own body, but those of his origin.
The individual body is nothing more than a "temporary expression" of those germinal characteristics which have united to give it consistency; but the complex transmission of characteristics rests wholly with the germinal cells. The problem of heredity is transferred from the individual and from the series of individuals, who are simple and transitory products of combinations, to the sexual cells and their potentialities. And this is unquestionably an absolutely new scientific concept, and a revolutionary one as well, capable of drawing in its wake a lengthy evolution of thought. Since the germinal potentialities determine the single characteristics, they may be considered as the atoms of the biologist. "The field of investigation," says Bateson, "does not appear to differ greatly from that which was opened to the students of chemistry at the beginning of the discovery that chemical combinations are governed by definite laws.... In the same way that the chemist studies the properties of every chemical substance, the characteristics of organisms ought to be studied, and their composition determined." (First Report, p. 159.)
This brings us to two widely diverse facts that demand consideration: first, the subdivision of antagonistic characteristics in the germinal cells that form, so to speak, the atomic and chaotic substratum of characteristics—characteristics that combine according to the mathematical laws of probability; and, secondly, the dominance of characteristics, or else their fusion, which, independently of anything that may happen in the germinal cells, serves to determine and define the individual.
What sort of characteristics are the dominant ones?
According to the latest researches of Mendelism, the dominant characteristics are those acquired latest in the course of evolution, in other words, the youngest, or, if you prefer, the most highly evolved. Accordingly, in hybrids, the most perfected characteristics and forms are the ones that triumph in the end.
This is quite a new principle. Hitherto it was held that the pure species or race was the most perfect; and the hybrid or bastard was under a cloud of contempt. And, as a matter of fact, the first crossings of different races may result in some combinations lacking in harmony, and calculated to sanction the old-time conception of the æsthetic inferiority of the bastard.
But it is necessary to leave time for new generations and further crossings, in order that all of the more highly evolved characteristics may unite and end by triumphing in reciprocal harmony. This the followers of Mendel cannot yet give us, because it would require decades or centuries, according to the species, to produce experimentally such æsthetic forms of hybridism.
But in the human race we have an experiment already accomplished, which actually shows us the æsthetic triumph achieved in the region where the races have for the greatest length of time been crossed and recrossed, through the agency of the most ancient civilisation: the Europeans surpass in physical beauty the people of any other continent; and the Neo-Latin races, the most ancient hybrids of all, seem to be nearing the attainment of the greatest æsthetic perfection. In fact, when I was engaged in compiling an anthropological study of the population of Latium, in accordance with Sergi's principles, and was making a most minute examination of all the different characteristics and their prevalence, as a possible basis for a delineation of the fundamental racial types, I found that complete beauty is never granted to any one race, but distributed among different races: "as a result of my labours, I find perfect artistic proportion as to certain facial features, in a race having inferior hands and feet; and, vice versa, I find facial irregularities in the race having the smallest extremities, and the most artistically proportioned hands. What we now consider as standards of human beauty, and delight in bringing together artificially in a single figure in a work of art, are found in nature scattered and distributed among different races." (See Physical Characteristics of Young Women of Latium, p. 69.)