The genesis of classical science was accompanied by a transition from logical to mathematical analysis. This change did not mean a rejection of Aristotle's canons of logic; it was simply that these canons became inadequate. They underwent a certain generalization and, in the course of this, came closely to approximate mathematical analysis, the foundations of the calculus of the infinitesimal. Classical science no longer took as its point of departure the notion of motion from "something" into "something," as did Peripatetic (...) physics and cosmology . The initial concept is motion, considered from point to point and instant to instant. This kind of differential notion of motion was clearly expressed by Kepler when he wrote: "Where Aristotle sees direct oppositeness between two things, with no mediating links, there I, looking at geometry philosophically, find a mediated opposition; so that where Aristotle employs a single term, ‘other,’ I use two: ‘larger’ and ‘smaller.’". (shrink)

A vast literature has been devoted to the Dialectics of Nature and dialectics in Capital. There is a considerable number of works in which the connection between the philosophical generalization of natural science in the Dialectics of Nature and the philosophical aspects of the economic categories in Capital are analyzed. I should like to touch upon only one aspect of the problem — that aspect which pertains to certain new problems in philosophical and economic thought. Reference is, first, to the (...) new, unprecedented role of philosophy and natural science in the period of the scientific and technological revolution under the conditions of the unification and planning of science and, second, to the unprecedented dynamism of the economy today. This dynamism requires a radical rethinking of categories, and that rethinking, in turn, requires a return to the fundamental categories of Capital. (shrink)

A vast literature has been devoted to the Dialectics of Nature and dialectics in Capital. There is a considerable number of works in which the connection between the philosophical generalization of natural science in the Dialectics of Nature and the philosophical aspects of the economic categories in Capital are analyzed. I should like to touch upon only one aspect of the problem — that aspect which pertains to certain new problems in philosophical and economic thought. Reference is, first, to the (...) new, unprecedented role of philosophy and natural science in the period of the scientific and technological revolution under the conditions of the unification and planning of science and, second, to the unprecedented dynamism of the economy today. This dynamism requires a radical rethinking of categories, and that rethinking, in turn, requires a return to the fundamental categories of Capital. (shrink)