Science may have found a cure for most evils, but it has found no remedy for the worst of them all -- the apathy of human beings.

Consider the Catholic church. This is an institution that excommunicates women who attempt to become priests, but does not excommunicate priests who rape children. This church is more concerned about stopping contraception than stopping genocide. It is more worried about gay marriage than about nuclear proliferation. When we realise that morality relates to questions of human and animal well-being, we can see that the Catholic church is as confused about morality as it is about cosmology. It is not offering an alternative moral framework; it is offering a false one.

Let us think of education as the means of developing our greatest abilities, because in each of us there is a private hope and dream which, fulfilled, can be translated into benefit for everyone and greater strength for our nation.

You'll never plow a field by turning it over in your mind.

A government that robs Peter to pay Paul can always depend on the support of Paul.

If there is a God, he's a great mathematician.

The laboring classes constitute the main part of our population. They should be protected in their efforts peaceably to assert their rights when endangered by aggregated capital, and all statutes on this subject should recognize the care of the State for honest toil, and be framed with a view of improving the condition of the workingman.

A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.

The Social Security Act offers to all our citizens a workable and working method of meeting urgent present needs and of forestalling future need. It utilizes the familiar machinery of our Federal-State government to promote the common welfare and the economic stability of the Nation.

You may teach to your children that the ground beneath their feet is the ashes of our grandfather’s. So that they will respect the land, tell your children that the earth is rich with the lives of our kin. Teach your children what we have taught our children, that the earth is our mother. Whatever befalls the earth befalls the sons of the earth. If men spit upon the ground, they spit upon themselves.

Permanent good can never be the outcome of untruth and violence.

Passing tests doesn't begin to compare with searching and inquiring and pursuing topics that engage us and excite us. That's far more significant than passing tests and, in fact, if that's the kind of educational career you're given the opportunity to pursue, you will remember what you discovered.

Better than a thousand hollow words, is one word that brings peace.


You cannot be a hero without being a coward.

Anyone who cannot cope with mathematics is not fully human. At best he is a tolerable subhuman who has learned to wear shoes, bathe, and not make messes in the house.

Your vision will become clear only when you look into your heart... Who looks outside, dreams. Who looks inside, awakens.

The most savage controversies are those about matters as to which there is no good evidence either way. Persecution is used in theology, not in arithmetic.

Society has always seemed to demand a little more from human beings than it will get in practice.

When you gaze into the abyss, the abyss gazes back at you.

School boards do not understand what math is, neither do educators, textbook authors, publishing companies, and sadly, neither do most of our math teachers.

It is inevitable that life will be not just very short but very miserable for those who acquire by great toil what they must keep by greater toil. They achieve what they want laboriously; they possess what they have achieved anxiously; and meanwhile they take no account of time that will never more return. New preoccupations take the place of the old, hope excites more hope and ambition more ambition. They do not look for an end to their misery, but simply change the reason for it.

You do not learn the basics by studying the basics, but by engaging in projects that require the basics.


This we know: the earth does not belong to man; man belongs to the earth.

In most sciences one generation tears down what another has built and what one has established another undoes. In mathematics alone each generations adds a new story to the old structure.

Teaching should be such that what is offered is percieved as a valuable gift and not as a hard duty.

Where free unions and collective bargaining are forbidden, freedom is lost.

Faith means not wanting to know what is true.

If a free society cannot help the many who are poor, it cannot save the few who are rich.

Rewards and punishments are not opposites at all; they are two sides of the same coin. And it is a coin that does not buy very much.

We may be brothers after all. We shall see. One thing we know, which the white man may one day discover – our God is the same God.

A people who cannot govern themselves, cannot be governed.

In the New Math period we tried to teach by concentrating on the structure of mathematics, feeling that computing and problem solving would be corollaries. For a few they were, but for most this was not the case. Then we got Back to the Basics, with a focus on computations and elementary techniques taught in isolation. This failed as well. Now we have the NCTM Standards [National Council of Teachers of Mathematics] which is trying to build a program on problems, with technical skills downplayed, proofs missing, and an overall picture of mathematics never displayed. This too will fail.

Children learn how to make good decisions by making decisions, not by following directions.

Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense.


Since neither soul nor aught belonging to soul can really and truly exist, the view which holds that this I who am 'world,' who am 'soul,' shall hereafter live permanent, persisting, unchanging, yea abide eternally: is not this utterly and entirely a foolish doctrine?

Increasingly, high-stakes exams conflict with high performance standards. When teachers’ jobs or students’ graduation are on the line as the result of scores on a single test, it becomes very difficult to maintain political consensus on the value of high performance standards. One state after another is postponing, reducing, or evading the consequences of students’ failure (or sometimes merely the prediction of failure) to meet the ideals of high standards.

The minority is sometimes right; the majority always wrong.

The boots and uniforms worn by US soldiers in Afghanistan and Iraq were made in China.

Most of the change we think we see in life is due to truths being in and out of favor.

While I am a great believer in the free enterprise system and all that it entails, I am an even stronger believer in the right of our people to live in a clean and pollution-free environment.

It's clearly a budget. It's got a lot of numbers in it.

Those who ask questions may seem to be fools for a minute, but those who never ask questions remains fools forever.

If you think education is expensive, try ignorance.

You know, words are sacred. They can guide and heal or just add to the confusion.

We have no more right to consume happiness without producing it than to consume wealth without producing it.

Three things cannot be long hidden: the sun, the moon, and the truth.


Prestige is especially dangerous to the ambitious. If you want to make ambitious people waste their time on errands, the way to do it is to bait the hook with prestige. That’s the recipe for getting people to give talks, write forewords, serve on committees, be department heads, and so on. It might be a good rule simply to avoid any prestigious task. If it didn’t suck, they wouldn’t have had to make it prestigious.

Not everything that counts can be counted, and not everything that can be counted counts.

The first thing to understand is that mathematics is an art.

If two wrongs don't make a right, try three.