On the non-predicative concepts in classical mechanics

Аuthors

Krasilnikov P. S.

e-mail: kaf803@mai.ru

Abstract

The non-predicativity of some fundamental concepts of classical mechanics is investigated. The non-predicativity leads to closed circles of reasonings and, as a consequence, to weak concepts and proofs. It is shown that the non-predicative judgments contain in a classical method which use dAlemberts principle for the calculation of constraint forces, in the concepts of force, in well-known proofs of dAlembert-Lagrange principle, in some methods of the theory of oscillations. In many cases it is possible to find and remove a reason of the non-predicativity and, as a consequence, to get rigorous proofs of theorems. After removal of the non- predicativity, a traditional method of the calculation of constraint forces is substituted by the calculations of constraint forces which are considered as the functions of co-ordinates and velocities.

Keywords:

non-predicativity of concepts, theorems of mechanics, constraint forces, weak proofs