Best 579 quotes in «mathematics quotes» category

So, naturalists observe, a flea; Hath smaller fleas that on him prey; And these have smaller fleas to bite 'em, And so proceed ad infinitum.

Strong Reason and good fancy, joyn'd with experience and tryalls, so that we are assured of the good effects of it.

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

The best way to learn is to do; the worst way to teach is to talk.

The economics profession went astray because economists, as a group, mistook beauty, clad in impressive-looking mathematics, for truth.

The creative principle [of science] resides in mathematics.

The essence of mathematics lies precisely in its freedom.

The enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and there is no rational explanation of it.

The emphasis on mathematical methods seems to be shifted more towards combinatorics and set theory - and away from the algorithm of differential equations which dominates mathematical physics.

The greatest reward for a student is not a good grade. It is the willingness of his teacher to listen to him.

The existence of mysterious relations between all these different domains is the most striking and delightful feature of mathematics (having no rational explanation).

The extreme possibilities are the most illuminating.

The infinitely competent can be uncreative.

The mathematics of rhythm are universal. They don't belong to any particular culture.

The manuscript looks chaotic, even by mathematics standards.

The mathematical sciences wield their particular language made of digits and signs, no less subtle than any other.

The main application of Pure Mathematics is to make you happy.

The mathematics is not there till we put it there.

The most complex object in mathematics, the Mandelbrot Set ... is so complex as to be uncontrollable by mankind and describable as 'chaos'.

The origins of graph theory are humble, even frivolous.

The new art must be based upon science - in particular, upon mathematics, as the most exact, logical, and graphically constructive of the sciences.

The object of pure Physic[s] is the unfolding of the laws of the intelligible world; the object of pure Mathematic[s] that of unfolding the laws of human intelligence.

The only time a question should be asked is when all other possibilities of finding the answer for yourself have been eliminated.

The natural man inevitably rebels against mathematics, a mild form of torture that could only be learned by painful processes of drill.

The only reason that we like complex numbers is that we don't like real numbers.

Theoretical Computer Science is just as useless as everything we mathematicians do.

The pendulum of mathematics swings back and forth towards abstraction and away from it with a timing that remains to be estimated.

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.

The public does not need to be convinced that there is something in mathematics.

The progress of mathematics can be viewed as progress from the infinite to the finite.

The purpose of life is to conjecture and prove.

There are no creeds in mathematics.

There are a lot of very strong connections with music and mathematics. They both can work in patterns and sequences and repetitions.

There are no sects in geometry.

There is a very good saying that if triangles invented a god, they would make him three-sided.

There is a logic of language and a logic of mathematics.

There is an underlying timelessness in the basic conversation that is mathematics.

There is an explicit way to define what explicit is.

There is more in Mersenne than in all the universities together.

There is no problem that cannot be solved.

There is no nature at an instant.

There is no national science, just as there is no national multiplication table; what is national is no longer science.

There is no significant difference between human activities and those by amoebas and even bacteria, well, on the GRAND SCALE.

There is no smallest among the small and no largest among the large, but always something still smaller and something still larger.

There is nothing mysterious, as some have tried to maintain, about the applicability of mathematics. What we get by abstraction from something can be returned.

There is nothing as dreamy and poetic, nothing as radical, subversive, and psychedelic, as mathematics.

There is something inhuman and vaguely pornographic about statistics... Pornography, on the other hand, with its loosely bound sequences of storyless sexual couplings often has the feel of a statistical survey.

There is something in statistics that makes it very similar to astrology.

The science of mathematics performs more than it promises, but the science of metaphysics promises more than it performs.

The simple equations that generate the convoluted Mandelbrot fractal have been called the wittiest remarks ever made.