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.
The only way to learn mathematics is to do mathematics.
A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.
A mathematician, like a painter or a poet, is a maker of patterns.
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.
Life is good for only two things, discovering mathematics and teaching mathematics.
There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.
A good mathematical joke is better, and better mathematics, than a dozen mediocre papers.
Mathematics is the queen of the sciences.
There are two ways to do great mathematics. The first is to be smarter than everybody else. The second way is to be stupider than everybody else - but persistent.
Mathematics is the only good metaphysics.
The shortest path between two truths in the real domain passes through the complex domain.
I am too good for philosophy and not good enough for physics. Mathematics is in between.
It is not enough to have a good mind. The main thing is to use it well.
Mathematics is the gate and key to science.
Mathematics are well and good but Nature keeps dragging us around by the nose.
The Good Lord made all the integers; the rest is man's doing.
A good stack of examples, as large as possible, is indispensable for a thorough understanding of any concept,and when I want to learn something new, I make it my first job to build one.
The first rule of discovery is to have brains and good luck. The second rule of discovery is to sit tight and wait till you get a bright idea.