The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.

The developing science departs at the same time more and more from its original scope and purpose and threatens to sacrifice its earlier unity and split into diverse branches.

The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.

Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.

Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.

Every one who understands the subject will agree that even the basis on which the scientific explanation of nature rests is intelligible only to those who have learned at least the elements of the differential and integral calculus as well as analytical geometry.

Projective geometry has opened up for us with the greatest facility new territories in our science and has rightly been called the royal road to our particular field of knowledge.

As I say, there was this movement to try to bring philosophers and mathematicians together into an organization where they would talk to each other. An organization wasn't effective unless you had a journal. That's about all I know.

Mathematicians are born, not made.

As far as I know, only a small minority of mathematicians, even of those with Platonist views, accept the idea that there may be mathematical facts which are true but unknowable.

Therefore I would not have it unknown to Your Holiness, the the only thing which induced me to look for another way of reckoning the movements of the heavenly bodies was that I knew that mathematicians by no means agree in their investigation thereof.

Mathematicians may flatter themselves that they possess new ideas which mere human language is as yet unable to express.

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.

Mathematicians aren't satisfied because they know there are no solutions up to four million or four billion, they really want to know that there are no solutions up to infinity.

The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.

Pure mathematicians just love to try unsolved problems - they love a challenge.

The greatest problem for mathematicians now is probably the Riemann Hypothesis.

Mathematics is written for mathematicians.

First rate mathematicians choose first rate people, but second rate mathematicians choose third rate people.

Abel has left mathematicians enough to keep them busy for 500 years.

Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate.

Mathematicians are like managers - they want improvement without change.

The truth has never been of any real value to any human being - it is a symbol for mathematicians and philosophers to pursue. In human relations kindness and lies are worth a thousand truths.

For example, the philosophers who were interested in logic were probably rather logical for mathematicians. But the ASL got us together, so we could talk to each other and publish in the same journal.

The only thing that might have annoyed some mathematicians was the presumption of assuming that maybe the axiom of choice could fail, and that we should look into contrary assumptions.

Programming is one of the most difficult branches of applied mathematics; the poorer mathematicians had better remain pure mathematicians.

Need we add that mathematicians themselves are not infallible?

Most were beginning to feel they had learned enough to last for the rest of their lives. They remained mathematicians, but largely went their own way.

Mathematicians stand on each other's shoulders.

The way in which mathematicians and physicists and historians talk is quite different, and what a physicist means by physical intuition and what a mathematician means by beauty or elegance are things worth thinking about.

It would be better for the true physics if there were no mathematicians on earth.

I hope that seeing the excitement of solving this problem will make young mathematicians realize that there are lots and lots of other problems in mathematics which are going to be just as challenging in the future.

Physicists are more like avant-garde composers, willing to bend traditional rules... Mathematicians are more like classical composers.

Guided only by their feeling for symmetry, simplicity, and generality, and an indefinable sense of the fitness of things, creative mathematicians now, as in the past, are inspired by the art of mathematics rather than by any prospect of ultimate usefulness.

All musicians are subconsciously mathematicians.

Many mathematicians derive part of their self-esteem by feeling themselves the proud heirs of a long tradition of rational thinking; I am afraid they idealize their cultural ancestors.

I like to move among painters, mathematicians, psychologists, people who can tell me something.

Mathematicians do not study objects, but relations between objects.

In the middle of a recession no tax increase is justified because it kills jobs, and any tax increase is a job-killing measure and should be defeated.

Some things must be good in themselves, else there could be no measure whereby to lay out good and evil.

Prosperity is the measure or touchstone of virtue, for it is less difficult to bear misfortune than to remain uncorrupted by pleasure.

One needs a Seer's Vision and an Angel's voice to be of any avail. I do not know of any Indian man or woman today who has those gifts in their most complete measure.

Cents are the most universally used interval measure.

The steady expansion of welfare programs can be taken as a measure of the steady disintegration of the Negro family structure over the past generation in the United States.

Psychology helps to measure the probability that an aim is attainable.

The exact measure of the progress of civilization is the degree in which the intelligence of the common mind has prevailed over wealth and brute force.

Measure your mind's height by the shade it casts.

There's no preventative measure between the Palestinians, between those terrorists to the state of Israel.

How does one measure the success of a museum?