Adequate Quote by Mikhail Leonidovich Gromov

A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first…

— David Hilbert

An old French mathematician said: "A mathematical theory is not to be considered complete until you have made it so clear that you can…

— David Hilbert

Some of the greatest ideas of all time have come to people during Math class... none of which had anything to do with Math.

— Hussein Nishah

“A key ingredient in appreciating what mathematics is about is to realize that it is concerned with ideas, understanding, and communication more than it…

— G. Arnell Williams

It is not of the essence of mathematics to be conversant with the ideas of number and quantity.

— George Boole

Another characteristic of mathematical thought is that it can have no success where it cannot generalize.

— Charles Sanders Peirce

Experience has shown repeatedly that a mathematical theory with a rich internal structure generally turns out to have significant implications for the understanding of…

— William Thurston

[The infinitely small] neither have nor can have theory; it is a dangerous instrument in the hands of beginners [ ... ] anticipating, for…

— Francois-Joseph Servois

Mathematicians may flatter themselves that they possess new ideas which mere human language is as yet unable to express.

— Anonymous

“All of our ideas in physics require a certain amount of common sense in their application; they are not purely mathematical or abstract ideas.”

— Richard Feynman

Whenever a theory appears to you as the only possible one, take this as a sign that you have neither understood the theory nor…

— Karl Popper

. . . we have overcome the notion that mathematical truths have an existence independent and apart from our own minds. It is even…

— Anonymous