One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it.

The art of doing mathematics consists in finding that special case which contains all the germs of generality.

Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.

If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proven?

No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite.

The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.

Physics is becoming too difficult for the physicists.

No one shall expel us from the paradise that Cantor has created for us.

Mathematics is a game played according to certain simple rules with meaningless marks on paper.

One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it.

A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street.

Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.

Galileo was no idiot. Only an idiot could believe that science requires martyrdom - that may be necessary in religion, but in time a scientific result will establish itself.

The infinite! No other question has ever moved so profoundly the spirit of man.

If one were to bring ten of the wisest men in the world together and ask them what was the most stupid thing in existence, they would not be able to discover anything so stupid as astrology.

How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler methods which, at the same time, assist in understanding earlier theories and in casting aside some more complicated developments.

He who seeks for methods without having a definite problem in mind seeks in the most part in vain.

Geometry is the most complete science.

Geometry like arithmetic requires for its logical development only a small number of simple fundamental principles. These fundamental principles are called the axioms of geometry.

Mathematics is a game played according to certain rules with meaningless marks on paper.

Some people have got a mental horizon of radius zero and call it their point of view.

It is not who is right, but what is right, that is of importance.

The sanctity of our battlefields, monuments, and veterans institutions is of utmost importance to preserve military history and pay respect to those who fought.

Research is of considerable importance in certain fields, such as science and history.

The education of my brother and myself was of paramount importance to my parents, and in addition to their strong encouragement, they were prepared to make any sacrifice to further our intellectual development.

What I have learned from my work up to now, is to try to be open, but also protect myself by not letting the good and the evil get too much importance.

While I recognize the great value and importance of prescription drugs and strongly support a continued U.S. focus on pharmaceutical research and development, our nation's seniors cannot be asked to subsidize the drug costs of other wealthy industrialized nations any longer.

It is seldom in life that one knows that a coming event is to be of crucial importance.

Similarly, the problem of the rights of the state in the disposition of inheritances left by individuals presents social aspects of the first importance.

The best thing about lying in bed late is that you learn to distinguish between first things and trivia, for whatever presses on you has to prove its importance before it makes you move.

My object will be, first, to show by what connections the history of the fossil bones of land animals is linked to the theory of the earth and why they have a particular importance in this respect.

Absent scandal, a federal judge can serve for decades on the bench, underscoring the importance of appointing judges who have a proper understanding of their constitutional role.

With respect to the FBI, they had problems communicating in a vertical way, within the FBI itself, so that information of importance could get pushed up to those who were decision-makers.

It's hard to exaggerate the importance of preserving the financial integrity of Social Security.

The high food value of field beans and the shortage of supply due to the light yields of 1915 and 1916 render them of great importance in the regions to which they are adapted.

It is very easy to overestimate the importance of our own achievements in comparison with what we owe others.

Malcolm was a firm believer in the value and importance of our heritage. He believed that we have valuable and distinct cultural traditions which need to be institutionalized so that they can be passed on to our heirs.

I believe 100 percent in the power and importance of music.

What does gene A do? What does gene B do? What does it do in different contexts? What's its importance? We know the answer to that for a very small number of genes, the ones that made themselves evident many years ago.

It is necessary to be concerned about the importance of educating a really beautiful human spirit.

Churchill knew the importance of peace, and he also knew the price of it. Churchill finally got his voice, of course. He stressed strategy, but it was his voice that armed England at last with the old-fashioned moral concepts of honor and duty, justice and mercy.

Character is better than ancestry, and personal conduct is of more importance than the highest.

For a successful revolution it is not enough that there is discontent. What is required is a profound and thorough conviction of the justice, necessity and importance of political and social rights.

Amour is the one human activity of any importance in which laughter and pleasure preponderate, if ever so slightly, over misery and pain.

I think we Americans, of all people, understand the importance of a good, legal, constitutional framework as the basis of political life.

The importance of money flows from it being a link between the present and the future.

Of course, relative citation frequencies are no measure of relative importance. Who has not aspired to write a paper so fundamental that very soon it is known to everyone and cited by no one?

So nonetheless given the importance that was placed on sport in Australia, I wanted to be part of that scene, particularly since I had felt very strongly in my early schooling being marginalised even in the Catholic school.

The biggest lesson I've learned by living abroad for the last four years is the importance of communication.