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.

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.

But, after all, we are a young nation, and vanity is a fault of youth.

That's one of our biggest problems, it's always somebody else's fault instead of our own fault.

It's my fault in many cases because I don't initiate the contact to talk with a lot of other musicians.

We don't suggest that because San Francisco lies on top of an earthquake fault that it should be moved.

I think in the wake of Katrina, the Coast Guard may well have been the only entity or agency that came out of that exercise free of fault and free of blame.

Be calm in arguing; for fierceness makes error a fault, and truth discourtesy.

Correct one fault at a time. Concentrate on the one fault you want to overcome.

A woman should say: "Have I made him happy? Is he satisfied? Does he love me more than he loved me before? Is he likely to go to bed with another woman?" If he does, then it's the wife's fault because she is not trying to make him happy.

Nothing would be done at all if one waited until one could do it so well that no one could find fault with it.

The basic fault lines today are not between people with different beliefs but between people who hold these beliefs with an element of uncertainty and people who hold these beliefs with a pretense of certitude.

I think the one thing this picture shows that's new is the psychological disproportion of the kids' demands on the parents. Parents are often at fault, but the kids have some work to do, too.

The absent are never without fault. Nor the present without excuse.

There's man all over for you, blaming on his boots the fault of his feet.

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.

It just broke my heart, and I had to get away from it. I love them to death, but they know how bad it got. It's not their fault, but I couldn't do that any longer.

If you become addicted and a junkie, well, that's your fault.

If I'm in danger then it's usually my fault and it's up to me to get myself out of it. I am not in it just to get an adrenalin rush. No way!

At the same, we need to remain sensitive to the reality that we are still an African society in which the majority of the people and communities live under severe deprivations and afflictions that are no fault of theirs.

Heaven knows that I have done all that a mortal could do, to save the people, and the failure was not my fault, but the fault of others.

The base paths belonged to me, the runner. The rules gave me the right. I always went into a bag full speed, feet first. I had sharp spikes on my shoes. If the baseman stood where he had no business to be and got hurt, that was his fault.

One of the surest evidences of friendship that one individual can display to another is telling him gently of a fault. If any other can excel it, it is listening to such a disclosure with gratitude, and amending the error.

Telling lies is a fault in a boy, an art in a lover, an accomplishment in a bachelor, and second-nature in a married man.

It's very difficult to determine whether this is the fault of the world that has abandoned the Church, or the Church that does not know how to relate to the world.

A fault is fostered by concealment.

If it's never our fault, we can't take responsibility for it. If we can't take responsibility for it, we'll always be its victim.

In the beginning, everybody that gets to work with me, thinks I'm nice. But three weeks later, they hear a bell ringing. Then they realise I meant everything I said during that first week. It's not my fault people are not taking me serious from the first moment.

Find fault with thyself rather than with others.

I've slept with a couple of people and made some poor choices and put things in jeopardy with... what I was happy with, and that's my own fault. I've got no one else to blame about that stuff.