ABSTRACT
Marx solved this problem through a dialectical investigation of how the transition from algebra to the differential calculus was accomplished in mathematics. The definition of the differential provided in Hadamard’s textbook shows that mathematicians are also arriving at that understanding of the general character of the differential calculus, where dialectics had arrived in the hands of a materialist philosopher—some half a century ago. Hadamard approaches the differential from the same operational point of view, but differently. Substantiation of the operational point of view had to wait for a considerably longer period of time, than what was required for, the substantiation of the objective point of view about the differential. The difficulty was not with establishing the very possibility of thus, and not otherwise, interpreting the differential, but rather with the discovery of the meaning of such interpretation.
