The definition of arithmetic progression is viewed as a generalization of the concept of symmetry sets on the real axis. We use the positive whole numbers. Each finite arithmetic progression we call generalized symmetrical multitude We can write a sequence, the elements of which are multitudes- arithmetic progressions. For these multitudes we define KINEMATICS AND DYNAMICS That interpretation is used to prove the theorem of Goldbach In the second part we consider the Riemann hypothesis by analyzing some helix lines. In third part we have a problem by vector optimization in euclidean metric.