I was always looking ahead. I used to do all kinds of things for entertainment. When I was young, we had no radio, no TV. We were 30 miles from the public library, out in the sticks in Western Kansas, and so I'd do arithmetic exercises.

I was interested in telescopes and the way they worked because I had an intense desire to see what things looked like, so I learned how to use telescopes and find things in the sky.

I guess they just took it for granted that that was what I was interested in and let nature take its course.

It was depressing, very depressing. I worried about how I would make a living. I didn't want to stay on the farm. It didn't offer the challenge I wanted and yet, without a college education, I felt that I was really out of luck.

We were suddenly faced with the necessity of training a lot of young men in the art of navigation.

I think there's a supreme power behind the whole thing, an intelligence. Look at all of the instincts of nature, both animals and plants, the very ingenious ways they survive. If you cut yourself, you don't have to think about it.

I realized that I would have some very tough sledding, and I was very discouraged because I didn't see much hope of getting into the field I wanted to get into with no college education.

The planets are never the same twice, they're always different, so they could compare the markings I had drawn with their current photographs and they knew that I was drawing what I was really seeing and it wasn't copied from somewhere.

I was always looking ahead. I used to do all kinds of things for entertainment. When I was young, we had no radio, no TV. We were 30 miles from the public library, out in the sticks in Western Kansas, and so I'd do arithmetic exercises.

I shed many a tear when the steam engines went out of style on the railroads. I'd like to seem them come back, but I realize the diesels are more efficient.

I used to believe there were people on Mars, and of course now we know there aren't. Mars held particular interest. I was curious what kind of beings they would look like.

What you do is, you have your drawing board and a pencil in hand at the telescope. You look in and you make some markings on the paper and you look in again.

I used to think about how nice it would be to visit the planets. Of course, I didn't expect to see in my lifetime what has happened. I knew it would happen some day, but it came along faster than I at first thought.

By the time I was in sixth grade I could bound every country in the world from memory.

I have a lot of sympathy for young people because I realize how disturbed I was. How would I deal with life in the future? What would I do for a living?

A person that much interested in science is going to neglect his social life somewhat, but not completely, because that isn't healthy either. So one has to work it out according to one's own inclinations, how one wants to proportion these things.

I thought I'd better check this third plate, which is another date, see if there's an image there in the right place that would be consistent with the images on the other plates. That was the final proof.

Although my early equipment was very modest, later I made my own and they were more powerful.

How does a pansy, for example, select the ingredients from soil to get the right colors for the flower? Now there's a great miracle. I think there's a supreme power behind all of this. I see it in nature.

When I was in the fourth grade, I became intensely interested in geography and I learned it well.

To me, the noise of a threshing machine is better music than a lot of music I hear nowadays. I took a man's place in the threshing crew when I was only 14 years old.

You wonder about it and wonder how will I make an instrument that can handle this kind of a problem.

I guess the two things I was most interested in were telescopes and steam engines. My father was an engineer on a threshing rig steam engine and I loved the machinery.

Can you imagine young people nowadays making a study of trigonometry for the fun of it? Well I did.

You have to compete with others in the field. Sometimes the competition gets pretty fierce because you're competing for funds or grants to do your work, the financial work.

Unfortunately, a lot of the concepts in the Bible are based on ancient mythology that doesn't fit the findings of science.

That's the way I got along in life. I don't ever remember being particularly jealous of anybody, because I figured if I can't do it myself, I don't deserve to get it.

I think the driving thing was curiosity about the universe. That fascinated me. I didn't think anything about being famous or anything like that, I was just interested in the concepts involved.

This is a tricky domain because, unlike simple arithmetic, to solve a calculus problem - and in particular to perform integration - you have to be smart about which integration technique should be used: integration by partial fractions, integration by parts, and so on.

The analysis of variance is not a mathematical theorem, but rather a convenient method of arranging the arithmetic.

God does arithmetic.

Algebra is the metaphysics of arithmetic.

The numbers may be said to rule the whole world of quantity, and the four rules of arithmetic may be regarded as the complete equipment of the mathematician.

He who refuses to do arithmetic is doomed to talk nonsense.

We have the most crude accounting tools. It's tragic because our accounts and our national arithmetic doesn't tell us the things that we need to know.

Crystals grew inside rock like arithmetic flowers. They lengthened and spread, added plane to plane in an awed and perfect obedience to an absolute geometry that even stones - maybe only the stones - understood.

The desire to economize time and mental effort in arithmetical computations, and to eliminate human liability to error is probably as old as the science of arithmetic itself.

What would life be without arithmetic, but a scene of horrors?

I was always looking ahead. I used to do all kinds of things for entertainment. When I was young, we had no radio, no TV. We were 30 miles from the public library, out in the sticks in Western Kansas, and so I'd do arithmetic exercises.

If scientific reasoning were limited to the logical processes of arithmetic, we should not get very far in our understanding of the physical world. One might as well attempt to grasp the game of poker entirely by the use of the mathematics of probability.

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.

I refer, of course, to the debts our nation has amassed for itself over decades of indulgence. It is the new Red Menace, this time consisting of ink. We can debate its origins endlessly and search for villains on ideological grounds, but the reality is pure arithmetic.

In the arithmetic of love, one plus one equals everything, and two minus one equals nothing.

Music is the arithmetic of sounds as optics is the geometry of light.

Many who have had an opportunity of knowing any more about mathematics confuse it with arithmetic, and consider it an arid science. In reality, however, it is a science which requires a great amount of imagination.

Schools are really bad now. Schools are not only bad in reading, writing and arithmetic, they're worse in cultural aspects, like in music and art. They don't teach you anything.

The hardest arithmetic to master is that which enables us to count our blessings.

Arithmetic is where the answer is right and everything is nice and you can look out of the window and see the blue sky - or the answer is wrong and you have to start over and try again and see how it comes out this time.

I think people feel starved of nice, glamorous entertainment. They want to see costumes and gaiety and a singer; old-fashioned entertainment - it won't die easily.