Explore Quotes on Mathematics

In a lot of scientists, the ratio of wonder to skepticism declines in time. That may be connected with the fact that in some fields-mathematics, physics, some others-the great discoveries are almost entirely made by youngsters.

Mathematics is the most beautiful and most powerful creation of the human spirit.

Music is the pleasure the human mind experiences from counting without being aware that it is counting.

There is no thing as a man who does not create mathematics and yet is a fine mathematics teacher. Textbooks, course material-these do not approach in importance the communication of what mathematics is really about, of where it is going, and of where it currently stands with respect to the specific branch of it being taught. What really matters is the communication of the spirit of mathematics. It is a spirit that is active rather than contemplative-a spirit of disciplined search for adventures of the intellect. Only as adventurer can really tell of adventures.

One of the first and foremost duties of the teacher is not to give his students the impression that mathematical problems have little connection with each other, and no connection at all with anything else. We have a natural opportunity to investigate the connections of a problem when looking back at its solution.

Each generation has its few great mathematicians, and mathematics would not even notice the absence of the others. They are useful as teachers, and their research harms no one, but it is of no importance at all. A mathematician is great or he is nothing.

Even fairly good students, when they have obtained the solution of the problem and written down neatly the argument, shut their books and look for something else. Doing so, they miss an important and instructive phase of the work. ... A good teacher should understand and impress on his students the view that no problem whatever is completely exhausted.

Dance is the mathematics of the Soul

Mathematics has no symbols for confused ideas.

It is a mathematical fact that the casting of this pebble from my hand alters the centre of gravity of the universe.

My mother made me a scientist without ever intending to. Every other Jewish mother in Brooklyn would ask her child after school, So? Did you learn anything today? But not my mother. Izzy, she would say, did you ask a good question today? That difference - asking good questions - made me become a scientist.

Strange as it may sound, the power of mathematics rests on its evasion of all unnecessary thought and on its wonderful saving of mental operations.

There are no creeds in mathematics.

I often say that when you can measure what you are speaking about, and express it in numbers, you know something about it; but when you cannot measure it, when you cannot express it in numbers, your knowledge is of a meagre and unsatisfactory kind.

There are many questions which fools can ask that wise men cannot answer.

Life is good for only two things, discovering mathematics and teaching mathematics.

The good Christian should beware the mathematician and all those who make empty prophecies. The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of hell.

One of the chief triumphs of modern mathematics consists in having discovered what mathematics really is.

Cryptography shifts the balance of power from those with a monopoly on violence to those who comprehend mathematics and security design.

Film is one of the three universal languages, the other two: mathematics and music.

I hold all knowledge that is concerned with things that actually exist - all that is commonly called Science - to be of very slight value compared to the knowledge which, like philosophy and mathematics, is concerned with ideal and eternal objects, and is freed from this miserable world which God has made.