Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.
The real voyage of discovery consists not in seeking new landscapes, but in having new eyes.
Where there is matter, there is geometry.
Mathematics is the science which draws necessary conclusions.
Pure mathematics is, in its way, the poetry of logical ideas.
Mathematics rightly viewed possesses not only truth but supreme beauty.
Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind.
I know that two and two make four - and should be glad to prove it too if I could - though I must say if by any sort of process I could convert 2 and 2 into five it would give me much greater pleasure.
Sometimes I've believed as many as six impossible things before breakfast.
We make a living by what we get, but we make a life by what we give.
I hear and I forget. I see and I remember. I do and I understand.
Learning without thought is labor lost; thought without learning is perilous.
It is not enough to have a good mind. The main thing is to use it well.
Each problem that I solved became a rule, which served afterwards to solve other problems.
Opportunity is missed by most people because it is dressed in overalls and looks like work.
When you are courting a nice girl an hour seems like a second. When you sit on a red-hot cinder a second seems like an hour. That's relativity.
Education is what remains after one has forgotten what one has learned in school.
Science without religion is lame, religion without science is blind.
The most beautiful thing we can experience is the mysterious. It is the source of all true art and science.
Common sense is the collection of prejudices acquired by age eighteen.
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.
The mathematician has reached the highest rung on the ladder of human thought.
I have had my results for a long time: but I do not yet know how I am to arrive at them.
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.
In a completely rational society, the best of us would be teachers and the rest of us would have to settle for something else.
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