On the non-predicative judgments in analytical mechanics

The non-predicativity of sonic fundamental concepts of classical mechanics is investigated. It is shown that sonic fundamental concepts of classical mechanics and Newton's laws are non-predicative. The different forms of the proof for the equivalence of general equation of dynamics to the equations for mechanical system with constraints are investigated. It is shown that sonic previous proofs in open literature are false because of use of non-predicative concepts. Tile reason of such non-predicativity is the incompleteness of concept of constraint force.