Time as Change

Abstract: According to Aristotle "time is the number of change with respect to the before and after". That's certainly a vague concept, but at the same time it's both simple and satisfying from a philosophical point of view: things do not change along time, but they do change and the measurement of such changes is what we call time. This deprives time of any attribute of substantiality, meanwhile depriving it of all problems in defining the properties of time as a substance. With the rise of Classical Mechanics, Aristotle's view is abandoned and Newton's concept of "true" and absolute time imposes itself; time flows independently on changes of any kind. Relativity will then radically modify our concept of time, but won't actually modify the fundamental idea: things keep changing along time -- changes do not make time. This work will argue Aristotle's thesis, showing how such an approach automatically leads to the principles of Special Relativity. An interesting consequence and, at least virtually, measurable will also be highlighted: the fact that synchronizing two clocks with a precision greater than a certain scale is impossible, estimating such scale around $10^{-22}$s.