出版社:International Digital Organization for Scientific Information Publications
摘要: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.