Description, Interpretation, Infinitesimal

If Modern Physics were descriptive, it would be a dynamic variant of Pythagoreanism, i. e. a description of a universe that is constituted fundamentally by mathematically organized motions.  Now to accomplish that, the basic Physicist unit, Velocity, must be transformed from an average over an inert segment, to a continuous internal property.  Physicists accordingly employ Calculus to effect the transition, i. e. Infinitesimals and Integration.  But, the key phase of the former--'approach to zero'--expresses, and thus exposes, the essence of such an operation: an approximation.  In another words, there is an infinitesimal distinction between the propositions of Modern Physics and its object, not enough to undermine its practical value, but sufficient to mark the enterprise as Interpretation, rather than neo-Pythagorean Description.