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.

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.

Teachers started recognizing me and praising me for being smart in science and that made me want to be even smarter in science!

This means that to entrust to science - or to deliberate control according to scientific principles - more than scientific method can achieve may have deplorable effects.

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

The fact that it's science fiction gives you the license to do anything you want to do.

Statistics is the grammar of science.

I love biomedical science, I love astronomy, and you can't really do much with those in a fantasy setting.

Learn about the world, the way it works, any kind of science and anthropology, it's really an interesting place we live in. Evolution is a really fantastic idea, even more than the idea of God I think.

The problem with allowing God a role in the history of life is not that science would cease, but rather that scientists would have to acknowledge the existence of something important which is outside the boundaries of natural science.

Scientists tend to be skeptical, but the weakness of the community of science is that it tends to move into preformed establishment modes that say this is the only way of doing science, the only valid view.

To my mind, the most important aspect of the Nobel Awards is that they bring home to the masses of the peoples of all nations, a realization of their common interests. They carry to those who have no direct contact with science the international spirit.

There are in fact two things, science and opinion; the former begets knowledge, the later ignorance.

We especially need imagination in science.

Christmas renews our youth by stirring our wonder. The capacity for wonder has been called our most pregnant human faculty, for in it are born our art, our science, our religion.

The art and science of asking questions is the source of all knowledge.

Advances in science and medical research and public health policies have meant that life expectancy for Australians is one of the highest in the world.

If we long to believe that the stars rise and set for us, that we are the reason there is a Universe, does science do us a disservice in deflating our conceits?

There are no enemies in science, professor. Only phenomena to study.

Science is organized common sense where many a beautiful theory was killed by an ugly fact.

You know, there was a time, just before I started to study physical science, when astronomers thought that systems such as we have here in the solar system required a rare triple collision of stars.

The views of the Earth are really beautiful. If you've ever seen a space IMAX movie, that's really what it looks like. I wish I'd had more time just to sit and look out the window with a map, but our science program kept us very busy in the lab most of the time.

They look at what's more important, like subjects to help with the SAT's, etc. They miss that music is vital. It offers a break from a stressful day of science and math and it's different.

Some theists in evolutionary science acquiesce to these tacit rules and retain a personal faith while accepting a thoroughly naturalistic picture of physical reality.

In science, read, by preference, the newest works; in literature, the oldest. The classic literature is always modern.

I have never been a critic of science fiction as a whole.

In the last fifty years science has advanced more than in the 2,000 previous years and given mankind greater powers over the forces of nature than the ancients ascribed to their gods.

Truth in science is always determined from observational facts.

I have always loved science fiction. One of my favorite shows is 'Star Trek.' I like the trips, where it drops my mind off, because they give you a premise and all of a sudden, you say, 'Oh!' and I'm fascinated by it.

If history and science have taught us anything, it is that passion and desire are not the same as truth.