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.

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.

John the Baptist was supposed to point the way to the Christ. He was just the voice, not the Messiah. So everybody's calling has dignity to it and God seems to know better than we do what is in us that needs to be called forth.

The kind of beauty I want most is the hard-to-get kind that comes from within - strength, courage, dignity.

For the next century, the Republicans have agreed that we will promote the dignity and future of every individual by building a free society under a limited, accountable government that protects liberty, security and prosperity for a brighter American dream.

No race can prosper till it learns that there is as much dignity in tilling a field as in writing a poem.

Wherever on this planet ideals of personal freedom and dignity apply, there you will find the cultural inheritance of England.

Why do the people humiliate themselves by voting? I didn't vote because I have dignity. If I had closed my nose and voted for one of them, I would spit on my own face.

He worked for the day when all people would be clothed in dignity.

There will always be a place for us somewhere, somehow, as long as we see to it that working people fight for everything they have, everything they hope to get, for dignity, equality, democracy, to oppose war and to bring to the world a better life.

That's one of the things I hope that the book can do, is to restore some dignity to Joe Cinque.

The ideal man bears the accidents of life with dignity and grace, making the best of circumstances.

It is my hope and my belief that you will be able to report that I died with dignity, without animal fear and without bravado. I owe that much to myself.

To revolt is a natural tendency of life. Even a worm turns against the foot that crushes it. In general, the vitality and relative dignity of an animal can be measured by the intensity of its instinct to revolt.

Our vanity is the constant enemy of our dignity.

Values are principles and ideas that bring meaning to the seemingly mundane experience of life. A meaningful life that ultimately brings happiness and pride requires you to respond to temptations as well as challenges with honor, dignity, and courage.

Dignity does not consist in possessing honors, but in deserving them.

One's dignity may be assaulted, vandalized and cruelly mocked, but cannot be taken away unless it is surrendered.

I would say that the surest measure of a man's or a woman's maturity is the harmony, style, joy, and dignity he creates in his marriage, and the pleasure and inspiration he provides for his spouse.

I will for ever, at all hazards, assert the dignity, independence, and integrity of the English bar; without which, impartial justice, the most valuable part of the English constitution, can have no existence.

We must reach out our hand in friendship and dignity both to those who would befriend us and those who would be our enemy.

The only kind of dignity which is genuine is that which is not diminished by the indifference of others.

In the 21st century, I believe the mission of the United Nations will be defined by a new, more profound awareness of the sanctity and dignity of every human life, regardless of race or religion.

Humor is an affirmation of dignity, a declaration of man's superiority to all that befalls him.

I think sometimes people project things on you, but I'm trying to handle everything that's happened to me with a certain amount of grace, dignity and good manners. You just can't necessarily win all the time.

Not just Christians and Jews, but also Muslims, Buddhists, Hindus and the followers of many other religions believe in values like peace, respect, tolerance and dignity. These are values that bring people together and enable us to build responsible and solid communities.

Scrubbing floors and emptying bedpans has as much dignity as the Presidency.

There is only one terminal dignity - love.

Terrorism is contempt for human dignity.

The World Trade Center is a living symbol of man's dedication to world peace... a representation of man's belief in humanity, his need for individual dignity, his beliefs in the cooperation of men, and, through cooperation, his ability to find greatness.