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.

To pursue science is not to disparage the things of the spirit. In fact, to pursue science rightly is to furnish the framework on which the spirit may rise.

The scene changes but the aspirations of men of good will persist.

Fear cannot be banished, but it can be calm and without panic; it can be mitigated by reason and evaluation.

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.

Science has a simple faith, which transcends utility. It is the faith that it is the privilege of man to learn to understand, and that this is his mission.

A belief may be larger than a fact.

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.

In mathematics we have long since drawn the rein, and given over a hopeless race.

In mathematics the art of proposing a question must be held of higher value than solving it.

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

Mathematics is as old as Man.

I finally reached the conclusion that mathematics was the study I was best fitted to follow, though I did not clearly see in what way I should turn the subject to account.

As the existence of a corps of professors of mathematics is peculiar to our navy, as well as an apparent, perhaps a real, anomaly, some account of it may be of interest.

Now being in such grace and favor by reason I learned him some points of geometry and understanding of the art of mathematics with other things, I pleased him so that what I said he would not contrary.

What affected me most profoundly was the realization that the sciences of cryptography and mathematics are very elegant, pure sciences. I found that the ends for which these pure sciences are used are less elegant.

I read one or two other books which gave me a background in mathematics other than logic.

This book is about physics and its about physics and its relationship with mathematics and how they seem to be intimately related and to what extent can you explore this relationship and trust it.

Life has obliged him to remember so much useful knowledge that he has lost not only his history, but his whole original cargo of useless knowledge; history, languages, literatures, the higher mathematics, or what you will - are all gone.

How is an error possible in mathematics?

I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about.

It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation.

I could never accept findings based almost exclusively on mathematics. It ain't ignorance that causes all the trouble in this world. It's the things people know that ain't so.

If a man's wit be wandering, let him study the mathematics.

Reading music is something that's inherently hateful to me. It makes music like mathematics.

The object of pure physics is the unfolding of the laws of the intelligible world; the object of pure mathematics that of unfolding the laws of human intelligence.

The problem is that no ethical system has ever achieved consensus. Ethical systems are completely unlike mathematics or science. This is a source of concern.

Mathematics is the art of giving the same name to different things.

You can not apply mathematics as long as words still becloud reality.

My interest in the sciences started with mathematics in the very beginning, and later with chemistry in early high school and the proverbial home chemistry set.