Mathematics is the part of physics where experiments are cheap.
— Vladimir Igorevich Arnold
Beauty is the first test: there is no permanent place in the world for ugly mathematics.
— Godfrey Harold Hardy
God used beautiful mathematics in creating the world.
— Paul A. M. Dirac
Everything should be made as simple as possible, but not simpler.
— Albert Einstein
Equations are more important to me, because politics is for the present, but an equation is something for eternity.
— Albert Einstein
If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.
— John von Neumann.
There are no such things as applied sciences, only applications of science.
— Louis Pasteur
Scientific discovery and scientific knowledge have been achieved only by those who have gone in pursuit of them without any practical purpose whatsoever in view.
— Max Planck
A new scientific truth does not triumph by convincing its opponents and making them see the light, but rather its opponents eventually die, and a new generation grows up that is familiar with it.
— Max Planck
Mathematicians never appreciate new ideas.
— Israel Gelfand
The science never accepts new ideas, it fights against them.
— Mikhail Postnikov
Great spirits have always encountered violent opposition from mediocre minds.
--- Albert Einstein
Before you generalize, formalize, and axiomatize there must be mathematical substance.
— Hermann Weyl
My work always tried to unite the truth with the beautiful, but when I had to choose one or the other, I usually chose the beautiful.
— Hermann Weyl
Symmetry, as wide or as narrow as you may define its meaning, is one idea by which man through the ages has tried to comprehend and create order, beauty and perfection.
— Hermann Weyl
It is by logic that we prove, but by intuition that we discover.
— Henri Poincaré
Guessing before proving! Need I remind you that it is so that all important discoveries have been made?
— Henri Poincaré
If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.
— Henri Poincaré