'Incontrovertible' is not a scientific word. Nothing is incontrovertible in science.

History is, in its essentials, the science of change. It knows and it teaches that it is impossible to find two events that are ever exactly alike, because the conditions from which they spring are never identical.

I chose to deal with the science of cryptography. Cryptography began in mathematics. Codes were developed, even from Caesar's time, based on number theory and mathematical principles. I decided to use those principles and designed a work that is encoded.

Science by itself has no moral dimension. But it does seek to establish truth. And upon this truth morality can be built.

Our vision is to rediscover the spirit of the Renaissance, create a new discipline where engineering for cultural heritage is actually a symbol of blending art and science together.

It is right that we be concerned with the scientific probity of metaphysics.

Contemplation and wisdom are highest achievements and man is not totally at home with them.

Music at times is more like perfume than mathematics.

But however measurable, there is much more life in music than mathematics or logic ever dreamed of.

Go out and chase your dreams no matter how crazy it looks.

My story, I feel like it's amazing, because it shows people no matter where you come from, no matter what your lifestyle is, your dreams could still come true if you believe in yourself and push hard to do what you want to do.

I just feel like it's believing in your instincts or believing in yourself to do something crazy. That's why it's important to believe in yourself and trust yourself.

My grandparents actually, whenever they got the chance, took me to Broadway, but that started when I was in high school, because that's when I realized... At the very beginning of high school, I realized, 'Oh my gosh. Okay, this is a career choice for me.' So yeah, then they always brought me to New York to see Broadway shows whenever they could.

Let your dreams outgrow the shoes of your expectations.

Job training empowers people to realize their dreams and improve their lives.

No innovation in the past 200 years has done more to save lives and improve health than the sanitation revolution triggered by invention of the toilet. But it did not go far enough. It only reached one-third of the world.

In an age when stagecraft, gauzy themes, and sound-bites have too often been substituted for leadership, Bill Clinton as a candidate made it essential to campaigning to take the specifics of governance seriously. Practical solutions were 'in;' ideology was 'out.'

We owe an enormous debt of gratitude to those who serve or have served in our country's military, as well as to the families of those individuals. Whether protecting our freedoms in foreign fields or making contributions here at home, the value these men and women bring to the American workforce and our way of life is beyond measure.

Medical attention and emotional support can be difficult to obtain for those in need, yet both are essential to nurturing healthy futures year round and especially during the holiday season.

While natural disasters capture headlines and national attention short-term, the work of recovery and rebuilding is long-term.

All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers.

The mind of man has perplexed itself with many hard questions. Is space infinite, and in what sense? Is the material world infinite in extent, and are all places within that extent equally full of matter? Do atoms exist or is matter infinitely divisible?

Without renouncing the support of physics, it is possible for the physiology of the senses, not only to pursue its own course of development, but also to afford to physical science itself powerful assistance.

Dream research is a wonderful field. All you do is sleep for a living.

In most of our dreams, our inner eye of reflection is shut and we sleep within our sleep. The exception takes place when we seem to awake within our dreams, without disturbing or ending the dream state, and learn to recognize that we are dreaming while the dream is still happening.

Dreams look real, but they're in your mind, so you realize that the physical world is also a construction, which shows that the mind can affect reality in more ways than you can imagine.

Lucid dreaming has considerable potential for promoting personal growth and self-development, enhancing self-confidence, improving mental and physical health, facilitating creative problem solving and helping you to progress on the path to self-mastery.

It is certainly important to be looking for cures to medical disorders, but it is equally important to conduct research on human health and well-being.

I actually consider myself as totally privileged to be able to serve science and medicine in a global fashion, because science and medicine know no boundaries.

Leaving Egypt and the people I loved so much, and the environment I liked, was definitely worth it, because I also have great love for medicine and science.

In science there is only physics; all the rest is stamp collecting.

I can remember picking up weighty tomes on the history of science and the history of philosophy and reading those when I was small.

It may seem unfashionable to say so, but historians should seize the imagination as well as the intellect. History is, in a sense, a story, a narrative of adventure and of vision, of character and of incident. It is also a portrait of the great general drama of the human spirit.

Of course I have other interests, but on the other hand, science is a lifestyle in the sense that it's a combination of profession and hobby.

When all is said and done, science actually takes hard work and a willingness to sometimes find out that your most cherished hypothesis is wrong.

So many times I've heard people say that the right to marry for gay and lesbian couples won't really change anything other than some legal and financial stuff. It's a dumb argument: those legal and financial effects matter.

A democratic medical establishment does not alter people's bodies to fit regressive social norms; it advocates for patients by demanding the social body get its act together.

When I ask my medical students to describe their image of a woman who elects to birth with a midwife rather than with an obstetrician, they generally describe a woman who wears long cotton skirts, braids her hair, eats only organic vegan food, does yoga, and maybe drives a VW microbus.

Many medical students, like most American patients, confuse science and technology. They think that what it means to be a scientific doctor is to bring to bear the maximum amount of technology on any given patient. And this makes them dangerous.

Conjoined twins simply may not need sex-romance partners as much as the rest of us do. Throughout time and space, they have described their condition as something like being attached to a soul mate.

According to my mother, there pretty much wasn't anything I wouldn't eat as a child. Not just try, but eat. I was even inclined to dig into stuff about which she expressed open disgust - lobster and other shellfish, and cheap Chinese food with pepper so hot it made your gums feel like a medieval dentist had been at them.

I had learned that science is a rewarding, active process of discovery, not the passive absorption of what others had discovered.

Anyone graduating from medical school in 1966 had first to fulfill military service before launching a career. Fiercely opposed to the Vietnam War, I sought to avoid it through an assignment to the Public Health Service.

In preparation for a career in academic medicine, I worked as a medical house officer at Columbia-Presbyterian Hospital from 1966 to 1968 and then joined Ira Pastan's laboratory at the National Institutes of Health as a Clinical Associate.

I saw my friends in medical school seeming to be more engaged with the real world. That provoked a sort of jealousy, and I decided to go to medical school after all.

Just after graduation in 1966, like many of my contemporaries, I applied for research training at the National Institutes of Health. Perhaps because his wife was a poet, Ira Pastan agreed to take me into his laboratory, despite my lack of scientific credentials.

Following graduation from Amherst, a Woodrow Wilson Fellowship enabled me to test the depth of my interest in literary scholarship by beginning graduate studies at Harvard University.

Science can improve lives in ways that are elegant in design and moving in practice.

I think the role of science fiction is not at all to prophesy. I think it is to tell interesting, vivid, strange stories that at their best are dreamlike intense versions and visions of today.

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