The Function of Mathematical Sciences

The author clarifies the position of mathematical sciences in trans-disciplinary sciences and technologies after he reviews typical roles of classical mathematical sciences as the method of fluxions by Newton and historical efforts to explain mathematical sciences to non-mathematicians by Clifford and Pearson. He also tries the classification of the function of mathematical scientific methods from the viewpoints of their objects and operations. Keywords– trans-disciplinary sciences, method of fluxions, exact science, grammar of science, positive science, entity and activity, state, relation, mechanism, dynamics, process, scenario, approximation, evaluation, selection, control, exploration