As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality.
Pure mathematics is, in its way, the poetry of logical ideas.
If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.
Mathematics rightly viewed possesses not only truth but supreme beauty.
Imagination is more important than knowledge.
Mathematics is a game played according to certain simple rules with meaningless marks on paper.
In most sciences one generation tears down what another has built and what one has established another undoes. In mathematics alone each generations adds a new story to the old structure.
I must study politics and war that my sons may have liberty to study mathematics and philosophy.
Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.
Anyone who cannot cope with mathematics is not fully human. At best, he is a tolerable subhuman who has learned to wear his shoes, bathe, and not make messes in the house.
In mathematics alone each generations adds a new story to the old structure.
We never know what we are talking about.
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.
One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories.
A mathematician is a blind man in a dark room looking for a black cat which isn't there.
Science without religion is lame, religion without science is blind.
Young man, in mathematics you don't understand things. You just get used to them.
Mathematics is the art of giving the same name to different things.
The mathematician's patterns, like the painter's or the poet's, must be beautiful.
When you can measure what you are speaking about, and express it in numbers, you know something about it.