An Exact Theory of Social Groups and Relations
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We consider a group of men1 which we shall denote by G and to which we shall refer as the “total group” of the case under consideration. G may be divided into two subgroups which have no members in common. Each member of the total group G belongs to one and only one of these subgroups, which we shall denote by G1 and G2 and call the two “fundamental groups” of the considered case. For instance, these very general assumptions are satisfied if the total group consists of the inhabitants of a country,G1 of the men, G2 of the women; or if G consists of the inhabitants of a country, G1 of the white ones, G2of the colored ones; or if G consists of the passengers of a train, G1 of the smokers,G2 of the nonsmokers.
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