The mathematics is not there till we put it there.

Shuffling is the only thing which Nature cannot undo.

Something unknown is doing we don't know what.

It is sound judgment to hope that in the not too distant future we shall be competent to understand so simple a thing as a star.

Who will observe the observers?

We have found that where science has progressed the farthest, the mind has but regained from nature that which the mind put into nature.

The quest of the absolute leads into the four-dimensional world.

If an army of monkeys were strumming on typewriters, they might write all the books in the British Museum.

Oh leave the Wise our measures to collate. One thing at least is certain, light has weight. One thing is certain and the rest debate. Light rays, when near the Sun, do not go straight.

We often think that when we have completed our study of one we know all about two, because "two" is "one and one." We forget that we still have to make a study of "and."

We used to think that if we knew one, we knew two, because one and one are two. We are finding that we must learn a great deal more about 'and'.

Probably the simplest hypothesis... is that there may be a slow process of annihilation of matter.

Every body continues in its state of rest or uniform motion in a straight line, except insofar as it doesn't.

It is also a good rule not to put overmuch confidence in the observational results that are put forward until they are confirmed by theory.

It is impossible to trap modern physics into predicting anything with perfect determinism because it deals with probabilities from the outset.

We have found a strange footprint on the shores of the unknown.

If your theory is found to be against the second law of theromodynamics, I give you no hope; there is nothing for it but to collapse in deepest humiliation.

The mathematics is not there till we put it there.

Proof is an idol before whom the pure mathematician tortures himself.

It is one thing for the human mind to extract from the phenomena of nature the laws which it has itself put into them; it may be a far harder thing to extract laws over which it has no control.

It is even possible that laws which have not their origin in the mind may be irrational, and we can never succeed in formulating them.

We often think that when we have completed our study of one we know all about two, because 'two' is 'one and one.' We forget that we still have to make a study of 'and.'

It is reasonable to hope that in the not too distant future we shall be competent to understand so simple a thing as a star.

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.

Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.

Mathematics allows for no hypocrisy and no vagueness.

The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetry.

Mathematics is the most beautiful and most powerful creation of the human spirit.