Donald Knuth Quotes

During the process of stepwise refinement, a notation which is natural to the problem in hand should be used as long as possible.

Often the great scientists, by turning the problem around a bit, changed a defect to an asset. For example, many scientists when they found they couldn't do a problem finally began to study why not. They then turned it around the other way and said, "But of course, this is what it is" and got an important result.

In science it is not enough to think of an important problem on which to work. It is also necessary to know the means which could be used to investigate the problem.

The art of programming is the art of organizing complexity.

How do we attack important problems? Pose the right question.

Bad programmers worry about the code. Good programmers worry about data structures and their relationships.

Instruction tables will have to be made up by mathematicians with computing experience and perhaps a certain puzzle-solving ability. There need be no real danger of it ever becoming a drudge, for any processes that are quite mechanical may be turned over to the machine itself.

To me programming is more than an important practical art. It is also a gigantic undertaking in the foundations of knowledge.

Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity. The activity of the intuition consists in making spontaneous judgements which are not the result of conscious trains of reasoning. The exercise of ingenuity in mathematics consists in aiding the intuition through suitable arrangements of propositions, and perhaps geometrical figures or drawings.

The thinking that guides your intelligence is much more important than how much intelligence you may have.

Computer science is not as old as physics; it lags by a couple of hundred years. However, this does not mean that there is significantly less on the computer scientist's plate than on the physicist's: younger it may be, but it has had a far more intense upbringing!

There are people who actually like programming. I dont understand why they like programming.

Exercise is an important element of being an actor, on any level.

I really knew almost nothing about Silicon Valley. I read that Steve Jobs book and watched a bunch of documentaries, and read the book about Mark Zuckerberg. I tried to learn some stuff, but there are consultants on the Silicon Valley show that know so much about it where you can get answers. To me, it's more important to get the particulars about that type of person as opposed to the specifics of the technology world.

The most important words that have helped me in life, when things have gone right or when things have gone wrong are 'accept responsibility.'

One of the things that's very important, when you're an activist and an organizer like me, is to understand that when things happen of that nature, some people become immobilized and other people begin to find solutions. And Detroit is the kind of city where we begin to find solutions.

A travel book is a book that puts you in the shoes of the traveler, and it's usually a book about having a very bad time, having a miserable time, even better. You don't want to read a book about someone having a great time in the South of France, eating and drinking and falling in love. What you want to read is a book about a guy going through the jungle, going through the arctic snow, having a terrible time trying to cross the Sahara, and solving problems as they go.

The thing that is probably most important is having a brain, and to be able to figure things out and learn things very rapidly.

... And we talk it out. Lately, I've had Roy Thomas come in, and he sits and makes notes while we discuss it. Then he types them up, which gives us a written synopsis. Originally - I have a little tape recorder - I had tried taping it, but then I found no one on staff has time to listen to the tape again later. But this way he makes notes, types it quickly, I get a carbon, the artist gets a carbon ... so we don't have to worry that we'll forget what we've said.

If you ask a living teacher a question, he will probably answer you. If you are puzzled by what he says, you can save yourself the trouble of thinking by asking him what he means. If, however, you ask a book a question, you must answer it yourself. In this respect a book is like nature or the world. When you question it, it answers you only to the extent that you do the work of thinking an analysis yourself.

music, drawing, books, invention & exercise will be so many resources to you against ennui.

In this box are all the words I know… Most of them you will never need, some you will use constantly, but with them you may ask all the questions which have never been answered and answer all the questions which have never been asked. All the great books of the past and all the ones yet to come are made with these words. With them there is no obstacle you cannot overcome. All you must learn to do is use them well and in the right places.

The best place to solve a problem is on paper.

Inventive genius requires pleasurable mental activity as a condition for its vigorous exercise. "Necessity is the mother of invention" is a silly proverb. "Necessity is the mother of futile dodges" is much closer to the truth. The basis of growth of modern invention is science, and science is almost wholly the outgrowth of pleasurable intellectual curiosity.

I've always learned how to deal with my problems through my words, through my education, and through my intelligence, which I think is important and the best way to deal with an issue.