2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147830One of the important ways development takes place in mathematics is via a process of generalization. On the basis of a recent characterization of this process we propose a principle that generalizations of mathematical structures that are already part of successful physical theories serve as good guides for the development of new physical theories. The principle is a more formal presentation and extension of a position stated earlier this century by Dirac. Quaternions form an excellent example of such a generalization, and we consider a number of the ways in which their use in physical theories illustrates this principle.39 pages, LaTeX, UM-P-92/61High Energy Physics - Phenomenologytext