We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe its properties a priori.

We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe its properties a priori.

I have had my results for a long time: but I do not yet know how I am to arrive at them.

To praise it would amount to praising myself. For the entire content of the work... coincides almost exactly with my own meditations which have occupied my mind for the past thirty or thirty-five years.

God does arithmetic.

To such idle talk it might further be added: that whenever a certain exclusive occupation is coupled with specific shortcomings, it is likewise almost certainly divorced from certain other shortcomings.

I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof = 0, and it is demanded for proof that every doubt becomes impossible.

It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation.

When a philosopher says something that is true then it is trivial. When he says something that is not trivial then it is false.

Life stands before me like an eternal spring with new and brilliant clothes.

You know that I write slowly. This is chiefly because I am never satisfied until I have said as much as possible in a few words, and writing briefly takes far more time than writing at length.

The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic.

Mathematicians stand on each other's shoulders.

I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intellect.

Further, the dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated.

It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.

The enchanting charms of this sublime science reveal only to those who have the courage to go deeply into it.

When I have clarified and exhausted a subject, then I turn away from it, in order to go into darkness again.

It is not knowledge but the act of learning not possession but the act of getting there which grants the greatest enjoyment.

Mathematics is concerned only with the enumeration and comparison of relations.

Mathematics is the queen of science.

We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe its properties a priori.

Obedience to the word in humility of mind never confuses.

The people who abandon Jihad fall a victim to humility and degradation.

Humility is not my forte, and whenever I dwell for any length of time on my own shortcomings, they gradually begin to seem mild, harmless, rather engaging little things, not at all like the staring defects in other people's characters.

Humility is the solid foundation of all virtues.

What the world needs is more geniuses with humility; there are so few of us left.

When someone saves your life and gives you life, there's gratitude, humility; there's a time you've been so blessed you realize you've been given another chance at life that maybe you did or didn't deserve.

The beloved of the Almighty are: the rich who have the humility of the poor, and the poor who have the magnanimity of the rich.

Bush promised a foreign policy of humility and a domestic policy of compassion. He has given us a foreign policy of arrogance and a domestic policy that is cynical, myopic and cruel.

Judge yourself; if you do that you will not be judged by God, as St. Paul says. But it must be a real sense of your own sinfulness, not an artificial humility.

But when one believes that you've been appointed by God for a particular mission in history, you have to be very careful about that, how you speak about that. Where is the self-reflection in that? Where is the humility in that?

The greatest friend of truth is Time, her greatest enemy is Prejudice, and her constant companion is Humility.

Too many people in government seem to think they are above regular folks, and I said I would expect humility in the way each member of my team served- that they would recognize that the taxpayer is boss.

Humility is the foundation of all the other virtues hence, in the soul in which this virtue does not exist there cannot be any other virtue except in mere appearance.

Humility is a necessary veil to all other graces.

Humility is a virtue, and it is a virtue innate in guests.

If I had any humility I would be perfect.

Power is dangerous unless you have humility.

Fairest and best adorned is she Whose clothing is humility.

Vanity is a mark of humility rather than of pride.

With disadvantages enough to bring him to humility, a Scotsman is one of the proudest things alive.

Pride works frequently under a dense mask, and will often assume the garb of humility.

Knowledge is power. Information is power. The secreting or hoarding of knowledge or information may be an act of tyranny camouflaged as humility.

Real genius is nothing else but the supernatural virtue of humility in the domain of thought.

I feel coming on a strange disease - humility.

There are no better cosmetics than a severe temperance and purity, modesty and humility, a gracious temper and calmness of spirit; and there is no true beauty without the signatures of these graces in the very countenance.

Early in life I had to choose between honest arrogance and hypocritical humility. I chose the former and have seen no reason to change.

Sense shines with a double luster when it is set in humility. An able yet humble man is a jewel worth a kingdom.