Having got thus some intimation, by style or by place, which of two groups A and B is the older, the next stage is to group all graves containing A types and none of B, and arrange them in order of the proportion of A types; those with 5, 4, 3, 2, i or o types like A being ranked in that order. Similarly those with B types on the other side away from A. In this way the order is arranged as forms like A, o, 1, 3, 4, 5, 6, then A, A and B types conjoined, B, 6, 5, 4, 3, 2, I, 0 like B. Thus a rough breaking up into many groups in approximate order can be made statistically.
Having a rough classing the next process is to deal with each type individually. It is obvious that if a series were arranged in true order of succession, a disturbance to a false order would be more likely to scatter types than to concentrate them in their range. Hence the shortest possible range of each type is the most probable. Then outlying examples of each type in the series of graves must be examined to see whether that grave could be brought nearer to the other examples of the type, without dis persing any other type which is associated with it. This process may be graphically imagined by supposing that every example of a type is tied to all other examples of it by an elastic cord in ten sion. Then a scattered type will tend to pull itself together, pro vided it does not increase the tension of the cord of another type. The whole process might be solved mechanically by such a model.
at least five different types of pottery. Next the whole series can be divided into numbered groups, modifying the groups so as to divide at the beginning or end of prominent types. When these groups are consecutively numbered, then each type of pot can have its limits in sequence dates ; say from 42 to 48. Some simple types will have a very long range ; other decorated types may have been made by only one generation. The more elaborate a type the more it demands concentration. In mechanical parallel the tension of the elastic cord will be greatest for the peculiar types.
For applying the system of sequences precautions are needed. First, there must be a sufficient series of dated graves, each con taining many varieties of pottery. For an entirely fret country at least soo grave groups are wanted ; for joining on an extension to an existing system a few dozen graves will give a prelimi nary view, useful as a framework for fresh evidence. Secondly, all kinds of evidence must be taken into account, not only forms, but decoration, relation to other forms, descent of a type, peculiar personalities in the work, and not only pottery but all other material of which there may be enough to give an indi cation, as ivory, stone, flintwork, and metal. Thirdly, the histor ical view should have consistency. If there is a large change of types at any point of the dating, this may modify the arrange ment of the slips.
The final aim of archaeology is to have a separate corpus of types of each great period of each country, not only for pottery but for all other classes of objects. Thus the whole of the materi al products of the past can be put in an organized connection, and so give a definite basis for our knowledge of man's ability and purpose. (W. M. F. P.)