Of Mechanics.
Mechanics are the Paradise of mathematical science, because here we come to the fruits of mathematics. [Footnote: Compare No. 660, 11. 19—22 (Vol. I., p. 332). 1156.
Every instrument requires to be made by experience.
1157.
The man who blames the supreme certainty of mathematics feeds on confusion, and can never silence the contradictions of sophistical sciences which lead to an eternal quackery.
1158.
There is no certainty in sciences where one of the mathematical sciences cannot be applied, or which are not in relation with these mathematics.