David Hilbert

"If we do not succeed in solving a mathematical problem, the reason frequently consists in our failure to recognize the more general standpoint from which the problem before us appears only as a single…"

"The art of doing mathematics consists in finding that special case which contains all the germs of generality."

"In mathematics, as in any scientific research, we find two tendencies... he tendency toward abstraction seeks to crystallize the logical relations inherent in the maze of material in a systematic and …"

"If one were to bring ten of the wisest men in the world together and ask them what was the most stupid thing in existence, they would not be able to discover anything so stupid as astrology."

"ur purpose is to give a presentation of geometry... in its visual, intuitive aspects. With the aid of visual imagination we can illuminate the manifold facts and problems... beyond this, it is possibl…"

"Sometimes it happens that a man's circle of horizon becomes smaller and smaller, and as the radius approaches zero it concentrates on one point. And then that becomes his point of view."

"Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country."

"History teaches the continuity of the development of science. We know that every age has its own problems, which the following age either solves or casts aside as profitless and replaces by new ones. …"