The mathematician's threefold task involves substituting hypotheses for less definite descriptions of real or imaginary states of affairs, then developing a point of view for making those hypotheses as comprehensible as possible, and finally employing that point of view for the purpose of solving problems. Mathematical theory is the discovery of methods of treating a broad class of problems from one general point of view. Quaternions as a particular theory of tridimensional space. Analysis of spatial and temporal relations. Listing Numbers.
Algebra, Mathematics, Number, Peirce James Mills, Quaternions, Relations spatial and temporal, Space, tridimensionality of Space
pp. 1-20, 16-19, 17-26, and 20 pp. of variants