There is no problem in all mathematics that cannot be solved by direct counting. But with the present implements of mathematics many operations can be performed in a few minutes which without mathematical methods would take a lifetime.

We invite this Congress, and through it the scientists of the world and the general public, to subscribe to the following resolution: "In view of the fact that in any future world war nuclear weapons will certainly be employed, and that such weapons threaten the continued existence of mankind, we urge the governments of the world to realize, and to acknowledge publicly, that their purpose cannot be furthered by a world war, and we urge them, consequently, to find peaceful means for the settlement of all matters of dispute between them".

Small farms make economic sense. They also produce more happiness, more beauty, more health-those things that aren't so quantifiable...

There is, properly speaking, no Misfortune in the world. Happiness and Misfortune stand in continual balance. Every Misfortune is, as it were, the obstruction of a stream, which, after overcoming this obstruction, but bursts through with the greater force.

Themistocles being asked whether he would rather be Achilles or Homer, said, "Which would you rather be,-a conqueror in the Olympic games, or the crier that proclaims who are conquerors?"

Real culture lives by sympathies and admirations, not by dislikes and disdain - under all misleading wrappings it pounces unerringly upon the human core.

The Great Man here too, as always, is a Force of Nature. Whatsoever is truly great in him springs up from the inarticulate deeps.

Happiness is a good flow of life. 

With all great deceivers there is a noteworthy occurrence to which they owe their power. In the actual act of deception... they are overcome by belief in themselves. It is this which then speaks so miraculously and compellingly to those who surround them.

Hypothetical liberty is allowed to everyone who is not a prisoner and in chains

With Leibnitz the extent to which thoughts advance is the extent of the universe; where comprehension ceases, the universe ceases, and God begins: so that later it was even maintained that to be comprehended was derogatory to God, because He was thus degraded into finitude. In that procedure a beginning is made from the determinate, this and that are stated to be necessary; but since in the next place the unity of these moments is not comprehended, it is transferred to God. God is therefore, as it were, the waste channel into which all contradictions flow: Leibnitz's Théodicée is just a popular summing up such as this.

I think that I have succeeded in making it clear that this doctrine gives room for explanations of many facts which without it are absolutely and hopelessly inexplicable; and further that it carries along with it the following doctrines: first, a logical realism of the most pronounced type; second, objective idealism; third, tychism, with its consequent thoroughgoing evolutionism. We also notice that the doctrine presents no hindrences to spiritual influences, such as some philosophies are felt to do.

If the immutable character of sex is contested, perhaps this construct called 'sex' is as culturally constructed as gender; indeed, perhaps it was always already gender, with the consequence that the distinction between sex and gender turns out to be no distinction at all.

Why don't I commit suicide? Because I am as sick of death as I am of life.

Men that look upon my outside, perusing only my condition, and fortunes, do err in my altitude; for I am above Atlas his shoulders.

The attempt to separate everything from everything else is not only not in good taste but also shows that a man is utterly uncultivated and unphilosophical. The complete separation of each thing from all is the utterly final obliteration of all discourse. For our power of discourse is derived from the interweaving of the classes or ideas with one another.

We see that experience plays an indispensable role in the genesis of geometry; but it would be an error thence to conclude that geometry is, even in part, an experimental science. If it were experimental it would be only approximative and provisional. And what rough approximation!...The object of geometry is the study of a particular 'group'; but the general group concept pre-exists... in our minds. It is imposed on us, not as form of our sense, but as form of our understanding. Only, from among all the possible groups, that must be chosen... will be... the standard to which we shall refer natural phenomena.Experience guides us in this choice without forcing it upon us; it tells us not which is the truest geometry, but which is the most convenient.Notice that I have been able to describe the fantastic worlds... imagined without ceasing to employ the language of ordinary geometry.

Let a man once overcome his selfish terror at his own finitude, and his finitude is, in one sense, overcome.

The Idols of the Cave are the idols of the individual man. For everyone (besides the errors common to human nature in general) has a cave or den of his own, which refracts and discolors the light of nature, owing either to his own proper and peculiar nature; or to his education and conversation with others; or to the reading of books, and the authority of those whom he esteems and admires; or to the differences of impressions, accordingly as they take place in a mind preoccupied and predisposed or in a mind indifferent and settled; or the like. So that the spirit of man (according as it is meted out to different individuals) is in fact a thing variable and full of perturbation, and governed as it were by chance. Whence it was well observed by Heraclitus that men look for sciences in their own lesser worlds, and not in the greater or common world.

The way of the superior man may be found, in its simple elements, in the intercourse of common men and women; but in its utmost reaches, it shines brightly through Heaven and Earth.

Capital punishment is the most premeditated of murders, to which no criminal's deed, however calculated, can be compared. For there to be an equivalency, the death penalty would have to punish a criminal who had warned his victim of the date on which he would inflict a horrible death on him and who, from that moment onward, had confined him at his mercy for months. Such a monster is not to be encountered in private life.

Facts do not cease to exist because they are ignored.

The evil that is in the world always comes of ignorance, and good intentions may do as much harm as malevolence, if they lack understanding. On the whole men are more good than bad; that, however, isn't the real point. But they are more or less ignorant, and it is this that we call vice or virtue; the most incorrigible vice being that of an ignorance which fancies it knows everything and therefore claims for itself the right to kill. There can be no true goodness, nor true love, without the utmost clear-sightedness.

Knowledge, having irritated and stimulated our appetite for power, will lead us inexorably to our ruin.

Those alone are dear to Divinity who are hostile to injustice.

Of course, however, the living voice and the intimacy of a common life will help you more than the written word. You must go to the scene of action, first, because men put more faith in their eyes than in their ears, and second, because the way is long if one follows precepts, but short and helpful, if one follows patterns.

The sin of pride may be a small or a great thing in someone's life, and hurt vanity a passing pinprick or a self-destroying or even murderous obsession. Possibly, more people kill themselves and others out of hurt vanity than out of envy, jealousy, malice or desire for revenge.

In one point I fully agree with the gentlemen to whose general views I am opposed. I feel with them, that it is impossible for us, with our limited means, to attempt to educate the body of the people. We must at present do our best to form a class who may be interpreters between us and the millions whom we govern; a class of persons, Indian in blood and colour, but English in taste, in opinions, in morals, and in intellect. To that class we may leave it to refine the vernacular dialects of the country, to enrich those dialects with terms of science borrowed from the Western nomenclature, and to render them by degrees fit vehicles for conveying knowledge to the great mass of the population.

One could count on one's fingers the number of scientists in the entire world who have a general idea of the history and development of their own particular science; there is not one who is really competent as regards sciences other than his own. As science forms an indivisible whole, one may say that there are no longer, strictly speaking, any scientists, but only drudges doing scientific work. . . .

The refutation of suicide: is it not inelegant to abandon a world which has so willingly put itself at the service of our melancholy?

I see a clock, but I cannot envision the clockmaker. The human mind is unable to conceive of the four dimensions, so how can it conceive of a God, before whom a thousand years and a thousand dimensions are as one?

It is better to be unhappy and know the worst, than to be happy in a fool's paradise!

Tis the sharpness of our mind that gives the edge to our pains and pleasures.

I am normally said to be free to the degree to which no man or body of men interferes with my activity. Political liberty in this sense is simply the area within which a man can act unobstructed by others. If I am prevented by others from doing what I could otherwise do, I am to that degree unfree; and if this area is contracted by other men beyond a certain minimum, I can be described as being coerced, or, it may be, enslaved. Coercion is not, however, a term that covers every form of inability. If I say that I am unable to jump more than ten feet in the air, or cannot read because I am blind, or cannot understand the darker pages of Hegel, it would be eccentric to say that I am to that degree enslaved or coerced. Coercion implies the deliberate interference of other human beings within the area in which I could otherwise act.

Just because emotion is essential to that act of expression which produces a work of art, it is easy for inaccurate analysis to misconceive its mode of operation and conclude that the work of art has emotion for its significant content. One may cry out with joy or even weep upon seeing a friend from whom one has been long separated. The outcome is not an expressive object -- save to the onlooker. But if the emotion leads one to gather material that is affiliated to the mood which is aroused, a poem may result. In the direct outburst, an objective situation is the stimulus, the cause, of the emotion. In the poem, objective material becomes the content and matter of the emotion, not just its evocative occasion.

Biopiracy is biological theft; illegal collection of indigenous plants by corporations who patent them for their own use.

I do not think it possible to get anywhere if we start from scepticism. We must start from a broad acceptance of whatever seems to be knowledge and is not rejected for some specific reason.

The point I wish to make is that I became aware that we discipline our minds to see only certain aspects of the world; life is complicated, and we need all our wits about us to deal with its complexities. There would be no great point in having second sight or thaumaturgic powers for most of us. But it is worth observing that they can generally be developed where needed.

Delight at having understood a very abstract and obscure system leads most people to believe in the truth of what it demonstrates.

Assembled in a crowd, people lose their powers of reasoning and their capacity for moral choice.

Martyrs must choose between being forgotten, mocked, or made use of. As for being understood, never!

Nationalism is always an effort in a direction opposite to that of the principle which creates nations. The former is exclusive in tendency, the latter inclusive. In periods of consolidation, nationalism has a positive value, and is a lofty standard. But in Europe everything is more than consolidated, and nationalism is nothing but a mania, a pretext to escape from the necessity of inventing something new, some great enterprise.