Measure, Proportion and Mathematical Structure of Galleo’s Mechanics

Abstract

The author studies the peculiarities of the scientific method in galileo's "discorsi" and "dialogo". it is shown that this method is a synthesis of experimental and quantitative mathematical investigation of nature. by means of this method galileo studies uniform and uniformly accelerated motion, i.e. motion with proportionality of passed route or velocity to time. there appear the measures: the constant velocity and acceleration. the study of dependance of route from time led galileo to reflections about infinite sets played an important role in the further development of mathematics.