ABSTRACT
Definite correlations between characteristic sociological formations and arithmetically definable magnitudes appear only near the lower boundary of the numerical series. The dyadic group is the first in the numerical scale to show a unity and synthesis, but it also manifests an internal antithesis and opposition. For groups larger than triadic groups no correlation between specific formations and numerically definable magnitudes can be formulated. But a very clear distinction can still be drawn between the forms of small groups and the forms of large groups. The numerically defined subgroup may have been formed out of small organic circles, but its teleological significance does not lie in its own structure, but in its external relationships to the large group. The numerical principle is the most advantageous one and infinitely superior to the kinship organization in that it is less likely to lead to disruption through blood feuds.
