We use only 10% of our brains... Imagine how smart we would be if we used the other 60%!
"The most powerful single idea in mathematics is the notion of a variable."
I am persuaded that this method [for calculating the volume of a sphere] will be of no little service to mathematics. For I foresee that once it is understood and established, it will be used to discover other theorems which have not yet occurred to me, by other mathematicians, now living or yet unborn.
Who has not been amazed to learn that the function y = ex, like a phoenix rising from its own ashes, is its own derivative?
With an absurd oversimplification, the 'invention' of the calculus is sometimes ascribed to two men, Newton and Leibniz. In reality, the calculus is the product of a long evolution that was neither initiated nor terminated by Newton and Leibniz, but in which both played a decisive part.
The calculus is the story this [the Western] world first told itself as it became the modern world.
The definition of a limit is essentially his [Cauchy's] creation and is as much of a miracle as those fantastic Swiss clocks of the period in which hundreds of gleaming cogs are made to celebrate not only the time and date but the phases of the moon.
Starting in the seventeenth century, the general theory of extreme values - maxima and minima - has become one of the systematic integrating principles of science.
Everything tries to be round.
He had made a passionate study of education, only to come, gradually, to the knowledge that education is nothing but the process of building up, gradually, a complete unit of consciousness. And each unit of consciousness is the living unit of that great social, religious, philosophic idea towards which humankind, like an organism seeking its final form, is laboriously growing.
The aim of education should not be to teach how to use human energies to improve the environment, for we are finally beginning to realize that the cornerstone of education is the development of the human personality, and that in this regard education is of immediate importance for the salvation of mankind.
Among all of the mathematical disciplines the theory of differential equations is the most important... It furnishes the explanation of all those elementary manifestations of nature which involve time.
Infinity converts the possible into the inevitable.
It is through good education that all the good in the world arises.
God created infinity, and man, unable to understand infinity, had to invent finite sets.
The true end of education is not only to make the young learned, but to make them love learning; not only to make them industrious, but to make them love industry; not only to make them virtuous, but to make them love virtue; not only to make them just, but to make them hunger and thirst after justice.
If one puts an infinite number of monkeys in front of typewriters, and lets them clap away, there is a certainty that one of them will come out with an exact version of the 'Iliad.'
Mathematics should be fun.
By the end of the first month of the 1995 session, each senator will have made more money than any person who works 40 hours a week at minimum wage for the entire year.
I do not much believe in education. Each person ought to be his or her own model, however frightful that may be.
Like a stool which needs three legs to be stable, mathematics education needs three components: good problems, with many of them being multi-step ones, a lot of technical skill, and then a broader view which contains the abstract nature of mathematics and proofs. One does not get all of these at once, but a good mathematics program has them as goals and makes incremental steps toward them at all levels.
Education is the instruction of the intellect in the laws of Nature, under which name I include not merely things and their forces, but people and their ways; and the fashioning of the affections and of the will into an earnest and loving desire to move in harmony with those laws.
Education tends to be diagrammatic and categorical, opening up no sluices in the human imagination on the wonder of the beauty of our unique estate in the cosmos. Little wonder that it becomes so easy for our young to regard human hurt casually or to be uninspired by the magic of sensitivity.
Our "life education" has not necessarily taught us a satisfying way to live. We suffer from a vague sense that there must be something more, some deeper meaning. We must return to kindergarten and start to learn a way of life that is contrary to the way we approached things before-a way of life based on trust of our own inner truth. We can rediscover the child-like innocence and wisdom that knows that anything is possible.
In classical understanding, education is the attempt to "lead out" from within the self a core of wisdom that has the power to resist falsehood and live in the light of truth, not by external norms but by reasoned and reflective self-determination. The inward teacher is the living core of our lives that is addressed and evoked by any education worthy of the name.
Follow AzQuotes on Facebook, Twitter and Google+. Every day we present the best quotes! Improve yourself, find your inspiration, share with friends
or simply: