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An Exact Theory of Social Groups and Relations

In: Selecta Mathematica

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  • Karl Menger

Abstract

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 G 1 and G 2 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,G 1 of the men, G 2 of the women; or if G consists of the inhabitants of a country, G 1 of the white ones, G 2of the colored ones; or if G consists of the passengers of a train, G 1 of the smokers,G 2 of the nonsmokers.

Suggested Citation

  • Karl Menger, 2003. "An Exact Theory of Social Groups and Relations," Springer Books, in: Bert Schweizer & Abe Sklar & Karl Sigmund & Peter Gruber & Edmund Hlawka & Ludwig Reich & Leopold Sc (ed.), Selecta Mathematica, pages 501-509, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7091-6045-9_43
    DOI: 10.1007/978-3-7091-6045-9_43
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