Mathematical Analysis Quotes by Charles Hermite, Auguste Comte, Lucio Russo and many others.

I believe that numbers and functions of Analysis are not the arbitrary result of our minds; I think that they exist outside of us, with the same character of necessity as the things of objective reality, and we meet them or discover them, and study them, as do the physicists, the chemists and the zoologists.

Mathematical Analysis is… the true rational basis of the whole system of our positive knowledge.

Euclid manages to obtain a rigorous proof without ever dealing with infinity, by reducing the problem [of the infinitude of primes] to the study of finite numbers. This is exactly what contemporary mathematical analysis does.