Dear Vladimir,
Zoran cracked a joke on my blog and made reference to your essay. Your deep interest in philosophy shows in your essay.
In your essay, you say:
1. "In mathematics, the process of "loss of certainty" began with discovery of "non-Euclidean" geometries and lasted ABOUT 100 YEARS", ...
2. "In physics, "loss of certainty" also took place gradually, over about a hundred years since the beginning of the study of the phenomenon of electromagnetism, the peak is the theory of relativity with its paradoxes"
This in conflict with
3. "Physics in its development went on the way of "geometrization". However, to date "the beginning of geometry" (ABOUT 2500 YEARS AGO) remains unclear itself"
In the Galileo Galilei work you quoted, he advises us that "Philosophy [i.e. physics] cannot be understood unless one first learns to comprehend the language and interpret the characters in which it is written. It is written in the language of mathematics, and its characters are triangles, circles, AND OTHER GEOMETRICAL FIGURES, ... without these, one is wandering around in a dark labyrinth"
In my essay, I suggest we go back 2500 years in obedience to Galileo's advice above. Do you agree?
Regards,
Akinbo