Now it has been shown by a simple calculation that, given three generations to the century, each one of us might claim ten million ancestors in the year 1000 A.D.; while in the fifth century, when this process of intermarriage began, the number would be enormous, some thousands of millions; that is, if consanguine marriages had never taken place. These figures make it clear that, in any mixed population in which intermarriage takes place freely, the two or more stocks must, after a comparatively brief period of time, become thoroughly blended, on one condition—namely, that the cross between the pure stocks is a stable stock, fertile _inter se_ and with both the parent stocks. There seems to be no doubt that this was the case with the British and the Anglo-Saxon stocks, and that the English form now a stable new subrace, or secondary race, in which the qualities of the northern race predominate. The subrace may be regarded as innately homogeneous in fairly high degree; not so homogeneous as a people of unmixed racial origin, or one formed by a blending of more remote date, but more so than most of the European nations. This is the sense in which we must understand the word race, in discussing the influence of race upon national character. In most of the European countries the original mixture of races has been greater and the degree of blending less intimate. Thus France has the three stocks, _H. Europaeus_, _Alpinus_, _Mediterraneus_, all largely represented; but they have remained in some degree geographically separated in three belts running east and west[63]. Hence there are greater innate mental differences between Frenchmen than between Englishmen. Nevertheless the strength of the Roman civilisation of Gaul sufficed to abolish differences of language and institutions and to assimilate the later coming Northmen, Franks and Normans; while the centralised system of administration, established in accordance with the innate tendencies of the major part of the population, has completed the work of a long series of national wars, and has produced a firmly united nation, bound by common traditions and moulded by common institutions. The greater centralisation of France seems to have compensated for the less degree of innate uniformity, so that the French people is hardly, if at all, less truly a nation than our own.