In these days the angel of topology and the devil of abstract algebra fight for the soul of each individual mathematical domain.

When I consider the short duration of my life, swallowed up in the eternity before and after, the small space which I fill, or even can see, engulfed in the infinite immensity of spaces whereof I know nothing, and which know nothing of me, I am terrified, and wonder that I am here rather than there, for there is no reason why here rather than there, or now rather than then. Who has set me here? By whose order and design have this place and time been destined for me? It is not well to be too much at liberty. It is not well to have all we want.How many kingdoms know nothing of us! The eternal silence of these infinite spaces alarms me.

Good music is very close to primitive language.

When he was asked what advantage had accrued to him from philosophy, his answer was, "The ability to hold converse with myself."

On the other hand, the cheapest form of pride is national pride; for the man affected therewith betrays a want of individual qualities of which he might be proud, since he would not otherwise resort to that which he shares with so many millions. The man who possesses outstanding personal qualities will rather see most clearly the faults of his own nation, for he has them constantly before his eyes. But every miserable fool, who has nothing in the world whereof he could be proud, resorts finally to being proud of the very nation to which he belongs. In this he finds compensation and is now ready and thankful to defend, ... all the faults and follies peculiar to it.

This morning I thought, hence lost my bearings, for a good quarter of an hour.

It has often been said, and certainly not without justification, that the man of science is a poor philosopher. Why then should it not be the right thing for the physicist to let the philosopher do the philosophizing? Such might indeed be the right thing to do at a time when the physicist believes he has at his disposal a rigid system of fundamental laws which are so well established that waves of doubt can't reach them; but it cannot be right at a time when the very foundations of physics itself have become problematic as they are now. At a time like the present, when experience forces us to seek a newer and more solid foundation, the physicist cannot simply surrender to the philosopher the critical contemplation of theoretical foundations; for he himself knows best and feels more surely where the shoe pinches. In looking for an new foundation, he must try to make clear in his own mind just how far the concepts which he uses are justified, and are necessities.

Whensoever by some present hard occurrences thou art constrained to be in some sort troubled and vexed, return unto thyself as soon as may be, and be not out of tune longer than thou must needs. For so shalt thou be the better able to keep thy part another time, and to maintain the harmony, if thou dost use thyself to this continually; once out, presently to have recourse unto it, and to begin again.

We must wish either for that which actually exists or for that which cannot in any way exist - or, still better, for both. That which is and that which cannot be are both outside the realm of becoming.

War is divine in itself, since it is a law of the world. War is divine through its consequences of a supernatural nature which are as much general as particular, consequences little known because little studied, but which are nevertheless incontestable. War is divine in the mysterious glory that surrounds it and in the no less inexplicable attraction that draws us to it. War is divine by the manner in which it breaks out.

The archer must know what he is seeking to hit; then he must aim and control the weapon by his skill. Our plans miscarry because they have no aim. When a man does not know what harbour he is making for, no wind is the right wind. Chance must necessarily have great influence over our lives, because we live by chance. It is the case with certain men, however, that they do not know that they know certain things. Just as we often go searching for those who stand beside us, so we are apt to forget that the goal of the Supreme Good lies near us.

Our concern is solely with the basic structure of society and its major institutions and therefore with the standard cases of social justice.

The king who is situated anywhere immediately on the circumference of the conqueror's territory is termed the enemy.The king who is likewise situated close to the enemy, but separated from the conqueror only by the enemy, is termed the friend (of the conqueror).

I believe the Indian then to be in body and mind equal to the white man.

Awakening of Western thought will not be complete until that thought steps outside itself and comes to an understanding with the search for a world-view as this manifests itself in the thought of mankind as a whole. We have too long been occupied with the developing series of our own philosophical systems, and have taken no notice of the fact that there is a world-philosophy of which our Western philosophy is only a part. If, however, one conceives philosophy as being a struggle to reach a view of the world as a whole, and seeks out the elementary convictions which are to deepen it and give it a sure foundation, one cannot avoid setting our own thought face to face with that of the Hindus, and of the Chinese in the Far East. ... Our Western philosophy, if judged by its own latest pronouncements, is much naiver than we admit to ourselves, and we fail to perceive this only because we have acquired the art of expressing what is simple in a pedantic way.

Mathematics may be compared to a mill of exquisite workmanship, which grinds you stuff of any degree of fineness; but, nevertheless, what you get out depends upon what you put in; and as the grandest mill in the world will not extract wheat-flour from peascod, so pages of formulae will not get a definite result out of loose data.

All... good and useful properties of character have a price in exchange for others which have just as much use. Talent has a market price, since the sovereign or estate-owner can use a talented person in all sorts of ways. Temperament has a fancy price,22 since one can converse well with such a person; he is a pleasant companion. But, character has an inner value[,] and it is above all price.

Government spending cannot create additional jobs. If the government provides the funds required by taxing the citizens or by borrowing from the public, it abolishes on the one hand as many jobs as it creates on the other. If government spending is financed by borrowing from the commercial banks, it means credit expansion and inflation. If in the course of such an inflation the rise in commodity prices exceeds the rise in nominal wage rates, unemployment will drop. But what makes unemployment shrink is precisely the fact that real wage rates are falling.

There is no more lovely, friendly and charming relationship, communion or company than a good marriage.

It is the very joy of man's heart to admire, where he can; nothing so lifts him from all his mean imprisonments, were it but for moments, as true admiration.

Of this Shakspeare of ours, perhaps the opinion one sometimes hears a little idolatrously expressed is, in fact, the right one; I think the best judgement not of this country only, but of Europe at large, is slowly pointing to the conclusion, That Shakspeare is the chief of all Poets hitherto; the greatest intellect who, in our recorded world, has left record of himself in the way of Literature. On the whole, I know not such a power of vision, such a faculty of thought, if we take all the characters of it, in any other man. Such a calmness of depth; placid joyous strength; all things imaged in that great soul of his so true and clear, as in a tranquil unfathomable sea!

Liberty therefore not being more fit than other words in some of the instances in which it has been used, and not so fit in others, the less the use that is made of it the better. I would no more use the word liberty in my conversation when I could get another that would answer the purpose, than I would brandy in my diet, if my physician did not order me: both cloud the understanding and inflame the passions.

The worker becomes all the poorer the more wealth he produces, the more his production increases in power and range. The worker becomes an ever cheaper commodity the more commodities he creates. With the increasing value of the world of things proceeds in direct proportion the devaluation of the world of men. Labour produces not only commodities; it produces itself and the worker as a commodity - and does so in the proportion in which it produces commodities generally.

Better to have beasts that let themselves be killed than men who run away.

As much in vain, perhaps, will they search ancient history for examples of the modern Slave-Trade. Too many nations enslaved the prisoners they took in war. But to go to nations with whom there is no war, who have no way provoked, without farther design of conquest, purely to catch inoffensive people, like wild beasts, for slaves, is an hight of outrage against Humanity and Justice, that seems left by Heathen nations to be practised by pretended Christians. How shameful are all attempts to colour and excuse it!

A millennial belief in a Holy God may have the effect of deepening the soul, but it is also obviously archaic, and modern influences would presently bring me up to date and reveal how antiquated my origins were. To turn away from those origins, however, has always seemed to me an utter impossibility. It would be a treason to my first consciousness to un-Jew myself.

Consider the great elements of human enjoyment, the attainments and possessions that exalt man's life to its present height, and see what part of these he owes to institutions, to Mechanism of any kind; and what to the instinctive, unbounded force, which Nature herself lent him.

Reality and history, however, are not dialectical, and no idealist rhetorical gymnastics can make them conform to the dialect.

..Whenever it ceases to be true that mankind, as a rule, prefer themselves to others, and those nearest to them to those more remote, from that moment Communism is not only practicable, but the only defensible form of society...

When new technologies impose themselves on societies long habituated to older technologies, anxieties of all kinds result.

Nobody ever saw a dog make a fair and deliberate exchange of one bone for another with another dog.

Percepts and phenomena which precedes the logical use of the intellect is called appearance, while the reflex knowledge originating from several appearances compared by the intellect is called experience.

The result of your fifty or sixty years of religious reading in the four words: 'Be just and good,' is that in which all our enquiries must end.

How does the poet speak to men with power, but by being still more a man than they?

One is not worthy to have what one, through weakness, lets be taken from him; one is not worthy of it because one is not capable of it.

I do not feel obliged to believe that the same God who has endowed us with senses, reason, and intellect has intended us to forgo their use and by some other means to give us knowledge which we can attain by them.

The measure of action is the sentiment from which it proceeds. The greatest action may easily be one of the most private circumstance.

Let us honor all honest human power of contrivance in its degree. The beaver intellect, so long as it steadfastly refuses to be vulpine, and answers the tempter pointing out short routes to it with an honest "No, no," is truly respectable to me; and many a highflying speaker and singer whom I have known, has appeared to me much less of a developed man than certain of my mill-owning, agricultural, commercial, mechanical, or otherwise industrial friends, who have held their peace all their days and gone on in the silent state. If a man can keep his intellect silent, and make it even into honest beaverism, several very manful moralities, in danger of wreck on other courses, may comport well with that, and give it a genuine and partly human character; and I will tell him, in these days he may do far worse with himself and his intellect than change it into beaverism, and make honest money with it.

To kill someone for committing murder is a punishment incomparably worse than the crime itself. Murder by legal sentence is immeasurably more terrible than murder by brigands.

If we cut up beasts simply because they cannot prevent us and because we are backing our own side in the struggle for existence, it is only logical to cut up imbeciles, criminals, enemies, or capitalists for the same reasons.

At the present time a serious, strong state can have but one sound foundation - military and bureaucratic centralization. Between a monarchy and the most democratic republic there is only one essential difference: in the former, the world of officialdom oppresses and robs the people for the greater profit of the privileged and propertied classes, as well as to line its own pockets, in the name of the monarch; in the latter, it oppresses and robs the people in exactly the same way, for the benefit of the same classes and the same pockets, but in the name of the people's will. In a republic a fictitious people, the "legal nation" supposedly represented by the state, smothers the real, live people. But it will scarcely be any easier on the people if the cudgel with which they are beaten is called the people's cudgel.

Information has no scent.

The mollusk's motto would be: one must live to build one's house, and not build one's house to live in.

To understand a science it is necessary to know its history.

Whenever the therapist stands with society, he will interpret his work as adjusting the individual and coaxing his 'unconscious drives' into social respectability. But such 'official psychotherapy' lacks integrity and becomes the obedient tool of armies, bureaucracies, churches, corporations, and all agencies that require individual brainwashing. On the other hand, the therapist who is really interested in helping the individual is forced into social criticism. This does not mean that he has to engage directly in political revolution; it means that he has to help the individual in liberating himself from various forms of social conditioning, which includes liberation from hating this conditioning - hatred being a form of bondage to its object.

It repudiates, as something vile and sinful, our deepest feelings; but being absolutely ignorant as to the real functions of human emotions, Puritanism is itself the creator of the most unspeakable vices.

The man of principles has character. Of him we know definitely what to expect. He does not act on the basis of his instinct, but on the basis of his will. Therefore, without being redundant one can classify characteristics according to a person's faculty of desire (what is practical), as a) his nature, or natural talent, b) his temperament, or disposition, and c) his general character, or mode of thinking.