Dr. Bergmann's Talk

Significance of The Method
1) Archimedes combines pure mathematics and physical considerations.
By putting segments of geometrical objects on a balance, he manages
to measure the area and volume of the geometrical objects.
geometrical discoveries by a physical thought-experiment
2) Archimedes is able to perform infinite sums: he takes a sphere,
for instance, and calculates its volume as the infinite sum of he circles
from which it is made.
breakthrough, comparable to the modern integral calculus
Both findings are essential features of modern science!
The Method was two thousand years ahead of its time.