Is the position tenable, that certain phenomena, possible in Euclidean space, would be impossible in non-Euclidean space, so that experience, in establishing these phenomena, would directly contradict the non-Euclidean hypothesis? For my part I think no such question can be put. To my mind it is precisely equivalent to the following, whose absurdity is patent to all eyes: are there lengths expressible in meters and centimeters, but which can not be measured in fathoms, feet, and inches, so that experience, in ascertaining the existence of these lengths, would directly contradict the hypothesis that there are fathoms divided into six feet?

Life itself is but the shadow of death, and souls departed but the shadows of the living: All things fall under this name. The Sun itself is but the dark simulacrum, and the light but the shadow of God.

Among these Jews there suddenly turns up a man who goes about talking as if He was God. He claims to forgive sins. He says He has always existed. He says He is coming to judge the world at the end of time. Now let us get this clear. Among Pantheists, like the Indians, anyone might say that he was a part of God, or one with God: there would be nothing very odd about it. But this man, since He was a Jew, could not mean that kind of God. God, in their language, meant the Being outside of the world, who had made it and was infinitely different from anything else. And when you have grasped that, you will see that what this man said was, quite simply, the most shocking thing that has ever been uttered by human lips.

Historical time knows no lasting present.

The superfluous, a very necessary thing. 

You get tragedy where the tree, instead of bending, breaks.

Don't judge the future of a person based on his present conditions, because time has the power to change black coal to shiny diamond.

The Republican form of government is the highest form of government; but because of this it requires the highest type of human nature - a type nowhere at present existing.

The straightening board was created because of warped wood, and the plumb line came into being because of things that are not straight. Rulers are established and ritual and rightness are illuminated because the nature is evil.

Properly speaking, the Land belongs to these two: To the Almighty God; and to all His Children of Men that have ever worked well on it, or that shall ever work well on it. No generation of men can or could, with never such solemnity and effort, sell Land on any other principle: it is not the property of any generation, we say, but that of all the past generations that have worked on it, and of all the future ones that shall work on it.

In order to succeed, we must first believe that we can.

In spite of Death, the mark and seal of the parental control, Man is yet free, during his brief years, to examine, to criticise, to know, and in imagination to create. To him alone, in the world with which he is acquainted, this freedom belongs; and in this lies his superiority to the resistless forces that control his outward life.

There is wishful thinking in Hell as well as on Earth.

Born for success he seemed, With grace to win, with heart to hold, With shining gifts that took all eyes.

I am aware that the great Plato himself, and after him, a man posterior to him in date, though not in mind, I mean Iamblichus of Chalcis (who initiated us into other branches of philosophy, and also into this by means of his discourses), did both of them as far as hypothesis goes, take for granted the fact of a Creation and assumed the universe to have been, in a certain sense, the Work of Time, in order that the most important of the effects produced by this Power, may be reduced into a shape for examination.

The potential of any new technology is always dissipated by its users involvement in its predecessors.

Mathematics have a triple aim. They must furnish an instrument for the study of nature. But that is not all: they have a philosophic aim and, I dare maintain, an esthetic aim. They must aid the philosopher to fathom the notions of number, of space, of time. And above all, their adepts find therein delights analogous to those given by painting and music. They admire the delicate harmony of numbers and forms; they marvel when a new discovery opens to them an unexpected perspective; and has not the joy they thus feel the esthetic character, even though the senses take no part therein? Only a privileged few are called to enjoy it fully, it is true, but is not this the case for all the noblest arts?This is why I do not hesitate to say that mathematics deserve to be cultivated for their own sake, and the theories inapplicable to physics as well as the others. Even if the physical aim and the esthetic aim were not united, we ought not to sacrifice either.

No matter that we may mount on stilts, we still must walk on our own legs. And on the highest throne in the world, we still sit only on our own bottom.

For every man the world is as fresh as it was at the first day, and as full of untold novelties for him who has the eyes to see them.

That which is good for the enemy harms you, and that which is good for you harms the enemy.

As men, we are all equal in the presence of death.

Adapt yourself to the environment in which your lot has been cast, and show true love to the fellow-mortals with whom destiny has surrounded you.

We cannot hope to be secure when our government has declared, by its readiness "to act alone," its willingness to be everybody's enemy.

Anyone wanting a new house picks one from among those built on speculation or still in process of construction. The builder no longer works for his customers but for the market.

Contrary to earlier prejudices, there is nothing inherently progressive about evolution.

I am of course confident that I will fulfil my tasks as a writer in all circumstances - from my grave even more successfully and more irrefutably than in my lifetime. No one can bar the road to truth, and to advance its cause I am prepared to accept even death. But may it be that repeated lessons will finally teach us not to stop the writer's pen during his lifetime? At no time has this ennobled our history.

There is another significant involution of time and movement in space. It is constituted not only by directional tendencies-up and down for example-but by mutual approaches and retreatings. Near and far, close and distant, are qualities of pregnant, often tragic, import-that is, as they are experienced, not just stated by measurement of science. They signify loosening and tightening, expanding and contracting, separating and compacting, soaring and drooping, rising and falling; the dispersive, scattering, and the hovering and brooding, unsubstantial lightness and massive blow. Such actions and reaction are the very stuff out if which the objects and events we experience are made.

Life grants nothing to us mortals without hard work.

Melancholy redeems this universe, and yet it is melancholy that separates us from it.

I am a weak, ephemeral creature made of mud and dream. But I feel all the powers of the universe whirling within me.

You seem to consider the federal judges as the ultimate arbiters of all constitutional questions, a very dangerous doctrine, indeed, and one which would place us under the despotism of an oligarchy. Our judges are as honest as other men, and not more so. They have with others the same passions for the party, for power and the privilege of the corps. Their power is the more dangerous, as they are in office for life and not responsible, as the other functionaries are, to the elective control. The Constitution has erected no such single tribunal, knowing that to whatever hands confided, with the corruptions of time and party, its members would become despots. It has more wisely made all departments co-equal and co-sovereign within themselves.

Whatever you can lose, you should reckon of no account.

To romanticize the world is to make us aware of the magic, mystery and wonder of the world; it is to educate the senses to see the ordinary as extraordinary, the familiar as strange, the mundane as sacred, the finite as infinite.

In every man sleeps a prophet, and when he wakes there is a little more evil in the world

Rules necessary for axioms. Not to demand in axioms any but things perfectly evident.

If... it be supposed that another way of measuring time is adopted... enunciation of the law would be... translated into another language... much less simple. So that the definition implicitly adopted by the astronomers may be summed up..: Time should be so defined that the equations of mechanics may be as simple as possible... [i.e.,] there is not one way of measuring time more true... only more convenient.

No one deserves to live who has not at least one good-man-and-true for a friend.

Life continues, and some mornings, weary of the noise, discouraged by the prospect of the interminable work to keep after, sickened also by the madness of the world that leaps at you from the newspaper, finally convinced that I will not be equal to it and that I will disappoint everyone, all I want to do is sit down and wait for evening. This is what I feel like, and sometimes I yield to it.

Nothing is more impressive than the fact that as mathematics withdrew increasingly into the upper regions of ever greater extremes of abstract thought, it returned back to earth with a corresponding growth of importance for the analysis of concrete fact. ...The paradox is now fully established that the utmost abstractions are the true weapons with which to control our thought of concrete fact.

Men are by nature merely indifferent to one another; but women are by nature enemies.

To dream of an enterprise of demolition that would spare none of the traces of the original Big Bang.

They would receive the same care and attention as those who belong to the establishment. Nor will there be any distinction made between the children of those parents who are deemed the worst, and of those who may be esteemed the best members of society: indeed I would prefer to receive the offspring of the worst, if they shall be sent at an early age; because they really require more of our care and pity and by well-training these, society will be more essentially benefited than if the like attention were paid to those whose parents are educating them in comparatively good habits. On educating children of the poor, and of neighboring communities.

In the most secret chamber of the spirit of him who believes himself convinced that death puts an end to his personal consciousness, his memory, for ever, and all unknown to him perhaps, there lurks a shadow, a vague shadow, a shadow of uncertainty, and while he says within himself, "Well, let us live this life that passes away, for there is no other!" the silence of this secret chamber speaks to him and murmurs, "Who knows!... " These voices are like the humming of a mosquito when the south-west wind roars through the trees in the wood; we cannot distinguish this faint humming, yet nevertheless, merged in the clamor of the storm, it reaches the ear.

The learning of the gentleman enters through his ears, fastens to his heart, spreads through his four limbs, and manifests itself in his actions. ... The learning of the petty person enters through his ears and passes out his mouth. From mouth to ears is only four inches-how could it be enough to improve a whole body much larger than that?

Not to be content with Life is the unsatisfactory state of those which destroy themselves; who being afraid to live, run blindly upon their own Death, which no Man fears by Experience.

The two guides call out to a man early and late. And yet, no, for when remorse calls to a man it is always late. The call to find the way again by seeking out God in the confession of sins is always at the eleventh hour. Whether you are young or old, whether you have sinned much or little, whether you have offended much or neglected much, the guilt makes this call come at the eleventh hour. The inner agitation of the heart understands what remorse insists upon, that the eleventh hour has come. For in the sense of time, the old man's age is the eleventh hour; and the instant of death, the final moment in the eleventh hour. The indolent youth speaks of a long life that lies before him. The indolent old man hopes that his death is still a long way off. But repentance and remorse belong to the eternal in a man.