Mathematical Processes: A Viewpoint-oriented Manipulation Perspective

View-point oriented manipulation of concepts can be helpful for generating new ideas in basic sciences and in the meantime, justifying the processes that are principally meaningful to the related disciplines. Mathematics, as a major ground for basic sciences, seems to be an appropriate exemplar to show how such a claim can be valid. The processes that are particularly attractive in case of mathematics are the projections from one space onto another, the transformations from one formalism into another and finally the critiques that are made to show how far two formalisms can be mutually consistent. In this paper, having reviewed the principles of view-point oriented manipulation, mathematical processes will then be discussed in this regard and an example will be presented showing the way it works for transforming a formalism into a new one.