[A. Pole]

Seems to me there is a big time gap between Archemides[sic], Pythagoris[sic], Socrates, Plato, and Newton. Dark ages, perhaps?

Yes. During the so called Dark or rather Middle Ages the system of modern science was worked out. That is why Copernicus, Newton, Maxwell, Einstein and Heisenberg are quite different from Tales, Archimedes and Pythagoras.

[muawiyah]

The modern scientific method was not worked out in the Middle Ages ~ in fact, there's very little evidence of a "system" existing prior to the fall of Toledo and with it the main library filled with a vast number of Greek science, engineering and mathematics texts.

The Dark Ages were "dark" ~ the Middle Ages occur later! They are not the same thing although some psycho-historians do tend to confound them.

During the Dark Ages the big deal in Western Europe was finding something to eat and how to keep warm.