There is nothing strange in the circle being the origin of any and every marvel..
Listening to the data is important... but so is experience and intuition. After all, what is intuition at its best but large amounts of data of all k….
The full beauty of the subject of generating functions emerges only from tuning in on both channels: the discrete and the continuous..
When intuition and logic agree, you are always right..
Few men speak humbly of humility, chastely of chastity, skeptically of skepticism..
The supreme function of reason is to show man that some things are beyond reason..
I read in the proof sheets of Hardy on Ramanujan: "As someone said, each of the positive integers was one of his personal friends." My reaction was, ….
Mathematics takes us into the region of absolute necessity, to which not only the actual word, but every possible word, must conform..
Young man, in mathematics you don't understand things. You just get used to them..
We are so presumptuous that we should like to be known all over the world, even by people who will only come when we are no more. Such is our vanity ….
If there is a problem you can't solve, then there is an easier problem you can't solve: find it..
I never made a career decision based solely on my desire to be an astronaut. I attended the Naval Academy because I wanted to be a Navy pilot. I majo….
It is true that I should have been surprised in the past to learn that Professor Hardy had joined the Oxford Group. But one could not say the adverse….
A good mathematical joke is better, and better mathematics, than a dozen mediocre papers..
There was a blithe certainty that came from first comprehending the full Einstein field equations, arabesques of Greek letters clinging tenuously to ….
What science can there be more noble, more excellent, more useful for men, more admirably high and demonstrative, than this of mathematics?.
There is no study in the world which brings into more harmonious action all the faculties of the mind than [mathematics], ... or, like this, seems to….
I know, indeed, and can conceive of no pursuit so antagonistic to the cultivation of the oratorical faculty ... as the study of Mathematics. An eloqu….
Every new body of discovery is mathematical in form, because there is no other guidance we can have..
It can be of no practical use to know that Pi is irrational, but if we can know, it surely would be intolerable not to know..
Perhaps the most surprising thing about mathematics is that it is so surprising..