Felix Klein

“Every one who understands the subject will agree that even the basis on which the scientific explanation of nature rests is intelligible only to those who have learned at least the elements of the differential and integral calculus.”

“The mathematician has reached the highest point of his development when he is able to solve the problems which have been put to him, and to create new problems which will be solved by others.”

“It is not the facts but the connection of the facts that is the object of science.”

“Anyone who has studied the history of science knows that the progress of science has been largely due to the invention of new instruments and methods of research.”

“The great mathematicians have been men of great imagination.”

“Mathematics has been called the science of the self-evident. There is no other description that would be less true.”

“A great department of thought must have its own inner life, however transcendent may be the importance of its relations to the outside.”