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.

Who can be forced has not learned how to die.

The popularity of the paranormal, oddly enough, might even be grounds for encouragement. I think that the appetite for mystery, the enthusiasm for that which we do not understand, is healthy and to be fostered. It is the same appetite which drives the best of true science, and it is an appetite which true science is best qualified to satisfy.

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.

The place of the father in the modern suburban family is a very small one - particularly if he plays golf, which he usually does.

There is no original truth, only original error.

Everyone knows that time is Death, that Death hides in clocks. Imposing another time powered by the Clock of the Imagination, however, can refuse his law. Here, freed of the Grim Reaper's scythe, we learn that pain is knowledge and all knowledge pain.

No Dilettantism in this Mahomet; it is a business of Reprobation and Salvation with him, of Time and Eternity: he is in deadly earnest about it! Dilettantism, hypothesis, speculation, a kind of amateur-search for Truth, toying and coquetting with Truth: this is the sorest sin. The root of all other imaginable sins. It consists in the heart and soul of the man never having been open to Truth; - "living in a vain show." Such a man not only utters and produces falsehoods, but is himself a falsehood. The rational moral principle, spark of the Divinity, is sunk deep in him, in quiet paralysis of life-death.

To make more plans than an explorer or a crook, yet to be infected at the will's very root.

It is vain to expect virtue from women till they are in some degree independent of men; nay, it is vain to expect that strength of natural affection which would make them good wives and mothers. Whilst they are absolutely dependent on their husbands they will be cunning, mean, and selfish.

To free a man from error is to give, not to take away. Knowledge that a thing is false is a truth. Error always does harm; sooner or later it will bring mischief to the man who harbors it. Then give up deceiving people; confess ignorance of what you don't know, and leave everyone to form his own articles of faith for himself. Perhaps they won't turn out so bad, especially as they'll rub one another's corners down, and mutually rectify mistakes. The existence of many views will at any rate lay a foundation of tolerance. Those who possess knowledge and capacity may betake themselves to the study of philosophy, or even in their own persons carry the history of philosophy a step further.

The Jesuits founded their politics on the virtual disappearance of God and on the worldly and spectacular manipulation of consciences-the evanescence of God in the epiphany of power-the end of transcendence, which now only serves as an alibi for a strategy altogether free of influences and signs. Behind the baroqueness of images hides the éminence grise of politics.

Our blight is ideologies - they are the long-expected Antichrist!

The State's behavior is violence, and it calls its violence "law"; that of the individual, "crime." The state calls its own violence law, but that of the individual, crime.

"Fare well!" "A whole world of pain is contained in these words." How can it be contained in them? - It is bound up in them. The words are like an acorn from which an oak tree can grow.

History proves nothing because it contains everything.

For we carry our fate with us - and it carries us.

Books must follow sciences, and not sciences books.

We are not so absurd as to propose that the teacher should not set forth his own opinions as the true ones and exert his utmost powers to exhibit their truth in the strongest light. To abstain from this would be to nourish the worst intellectual habit of all, that of not finding, and not looking for, certainty in any teacher. But the teacher himself should not be held to any creed; nor should the question be whether his own opinions are the true ones, but whether he is well instructed in those of other people, and, in enforcing his own, states the arguments for all conflicting opinions fairly.

National loyalty is founded in the love of place, of the customs and traditions that have been inscribed in the landscape and of the desire to protect these good things through a common law and a common loyalty.

There is in our souls some native seed of reason, which, if nourished by good counsel and training, flowers into virtue, but which, on the other hand, if unable to resist the vices surrounding it, is stifled and blighted.

Commit no lustfulness, so that harm and regret may not reach thee from thine own actions.

We are taught to believe that a desire of domineering over our countrymen is love to our country; and those who hate civil war abet rebellion, and that the amiable and conciliatory virtues of lenity, moderation, and tenderness to the privileges of those who depend on this kingdom are a sort of treason to the state. It is impossible that we should remain long in a situation, which breeds such notions and dispositions, without some great alteration in the national character.

I want you to read the true system of the heart, drafted by a decent man and published under another name. I do not want you to be biased against good and useful books merely because a man unworthy of reading them has the audacity to call himself the Author.

By doing nothing men learn to do ill.

So much of modern mathematical work is obviously on the border-line of logic, so much of modern logic is symbolic and formal, that the very close relationship of logic and mathematics has become obvious to every instructed student. The proof of their identity is, of course, a matter of detail: starting with premisses which would be universally admitted to belong to logic, and arriving by deduction at results which as obviously belong to mathematics, we find that there is no point at which a sharp line can be drawn, with logic to the left and mathematics to the right. If there are still those who do not admit the identity of logic and mathematics, we may challenge them to indicate at what point, in the successive definitions and deductions of Principia Mathematica, they consider that logic ends and mathematics begins. It will then be obvious that any answer must be quite arbitrary.

We cannot think first and act afterwards. From the moment of birth we are immersed in action, and can only fitfully guide it by taking thought.

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 suffer not only from the development of capitalist production, but also from the incompleteness of that development. Alongside the modern evils, we are oppressed by a whole series of inherited evils, arising from the passive survival of archaic and outmoded modes of production, with their accompanying train of anachronistic social and political relations. We suffer not only from the living, but from the dead.

The true, prescriptive artist strives after artistic truth; the lawless artist, following blind instinct, after an appearance of naturalness. The one leads to the highest peaks of art, the other to its lowest depths.

Whoever has overthrown an existing law of custom has hitherto always first been accounted a bad man: but when, as did happen, the law could not afterwards be reinstated and this fact was accepted, the predicate gradually changed: - history treats almost exclusively of these bad men who subsequently became good men!

For the moment, the jazz is playing; there is no melody, just notes, a myriad of tiny tremors. The notes know no rest, an inflexible order gives birth to them then destroys them, without ever leaving them the chance to recuperate and exist for themselves.... I would like to hold them back, but I know that, if I succeeded in stopping one, there would only remain in my hand a corrupt and languishing sound. I must accept their death; I must even want that death: I know of few more bitter or intense impressions.

How can one be late to the end of history? A question for today. It is serious because it obliges one to reflect again, as we have been doing since Hegel, on what happens and deserves the name of event, after history; it obliges one to wonder if the end of history is but the end of a certain concept of history.

I am at heart more of a United-States-man than an Englishman.

Brief and powerless is Man's life; on him and all his race the slow, sure doom falls pitiless and dark.

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

Don't think money does everything or you are going to end up doing everything for money.

Methinks I am like a man, who having struck on many shoals, and having narrowly escap'd shipwreck in passing a small frith, has yet the temerity to put out to sea in the same leaky weather-beaten vessel, and even carries his ambition so far as to think of compassing the globe under these disadvantageous circumstances.

Good and evil, reward and punishment, are the only motives to a rational creature: these are the spur and reins whereby all mankind are set on work, and guided.

We are born helpless. As soon as we are fully conscious we discover loneliness. We need others physically, emotionally, intellectually; we need them if we are to know anything, even ourselves. 

Every time a man is begotten and born, the clock of human life is wound up anew to repeat once more its same old tune that has already been played innumerable times, movement by movement and measure by measure, with insignificant variations.

What was was ever, and ever shall be. For, if it had come into being, it needs must have been nothing before it came into being. Now, if it were nothing, in no wise could anything have arisen out of nothing.

The mathematical thermology created by Fourier may tempt us to hope that, as he has estimated the temperature of the space in which we move, me may in time ascertain the mean temperature of the heavenly bodies: but I regard this order of facts as for ever excluded from our recognition. We can never learn their internal constitution, nor, in regard to some of them, how heat is absorbed by their atmosphere. We may therefore define Astronomy as the science by which we discover the laws of the geometrical and mechanical phenomena presented by the heavenly bodies.

The Law of conservation of energy tells us we can't get something for nothing, but we refuse to believe it.