Cease to be ruled by dogmas and authorities; look at the world!

... mathematics is absolutely necessary and useful to the other sciences.

For the things of this world cannot be made known without a knowledge of mathematics.

Reasoning draws a conclusion, but does not make the conclusion certain, unless the mind discovers it by the path of experience.

There are four chief obstacles in grasping truth ... namely, submission to faulty and unworthy authority, influence of custom, popular prejudice, and the concealment of our own ignorance accompanied by an ostentatious display of our knowledge.

There are two modes of knowledge: through argument and through experience. Argument brings conclusions and compels us to concede them, but it does not cause certainty nor remove doubts that the mind may rest in truth, unless this is provided by experience.

Experimental science is the queen of knowledge.