The Mathematics of Acceleration

By means of Quotients, distinct unequal concrete motions, i. e. distinguished by an increase in Velocity, can be represented by the formula 'Acceleration = Distance/(Time-Unit)-squared'.  Furthermore, by means of Infinitesimals, that Time-Unit, which originally represents an interval, can be conceived as approaching instantaneity, in order to satisfy proportionality to Force, which, can, in principle, be exercised in an instant.  So, insofar as the Mathematization of Physics introduces precision into the representation of Nature, i. e. beginning with the formula 'F = ma', it does so only as abstract interpretation.  On the other hand, its representation of human artifaction, i. e. of Technology, can be not merely descriptive, but prescriptive.