In science men have discovered an activity of the very highest value in which they are no longer, as in art, dependent for progress upon the appearance of continually greater genius, for in science the successors stand upon the shoulders of their predecessors; where one man of supreme genius has invented a method, a thousand lesser men can apply it.

Mystery is delightful, but unscientific, since it depends upon ignorance.

Whatever bitterness and hate may be found in the movements which we are to examine, it is not bitterness or hate, but love, that is their mainspring. It is difficult not to hate those who torture the objects of our love. Though difficult, it is not impossible; but it requires a breadth of outlook and a comprehensiveness of understanding which are not easy to preserve amid a desperate contest. If ultimate wisdom has not always been preserved by Socialists and Anarchists, they have not differed in this from their opponents; and in the source of their inspiration they have shown themselves superior to those who acquiesce ignorantly or supinely in the injustices and oppressions by which the existing system is preserved.

There is a connected set of events (light-waves) travelling outward from a centre... there are some respects in which all events are alike, and others in which they differ... We must not think of a light-wave as a 'thing', but as a connected group of rhythmical events. The mathematical characteristics of such a group can be inferred by physics, but the intrinsic character of the component events cannot be inferred.

Reason is a harmonising, controlling force rather than a creative one.

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.

Passing from quantity to quality of population, we come to the question of eugenics. We may perhaps assume that, if people grow less superstitious, government will acquire the right to sterilize those who are not considered desirable as parents. This power will be used, at first, to diminish imbecility, a most desirable object. But probably, in time, opposition to the government will be taken to prove imbecility, so that rebels of all kinds will be sterilized. Epileptics, consumptives, dipsomaniacs and so on will gradually be included; in the end, there will be a tendency to include all who fail to pass the usual school examinations. The result will be to increase the average intelligence; in the long run, it may be greatly increased. But probably the effect upon really exceptional intelligence will be bad. Mr. Micawber, who was Dickens's father, would hardly have been regarded as a desirable parent. How many imbeciles ought to outweigh one Dickens I do not profess to know.

Formerly, it was held by philosophers and mathematicians alike that the proofs in Geometry depended on the figure; nowadays, this is known to be false. In the best books there are no figures at all. The reasoning proceeds by the strict rules of formal logic from a set of axioms laid down to begin with.

An irrational fear should never be simply let alone, but should be gradually overcome by familiarity with its fainter forms.

Those who have been inspired to action by the doctrine of the class war will have acquired the habit of hatred, and will instinctively seek new enemies when the old ones have been vanquished. But in actual fact the psychology of the working man in any of the Western democracies is totally unlike that which is assumed in the Communist Manifesto. He does not by any means feel that he has nothing to lose but his chains, nor indeed is this true. The chains which bind Asia and Africa in subjection to Europe are partly riveted by him. He is himself part of a great system of tyranny and exploitation. Universal freedom would remove, not only his own chains, which are comparatively light, but the far heavier chains which he has helped to fasten upon the subject races of the world.

I think if I had met him [Lenin] without knowing who he was, I should not have guessed that he was a great man; he struck me as too opinionated and narrowly orthodox. His strength comes, I imagine, from his honesty, courage, and unwavering faith-religious faith in the Marxian gospel, which takes the place of the Christian martyr's hopes of Paradise, except that it is less egotistical... I went to Russia a Communist; but contact with those who have no doubts has intensified a thousandfold my own doubts, not as to Communism in itself, but as to the wisdom of holding a creed so firmly that for its sake men are willing to inflict widespread misery.

A life devoted to science is therefore a happy life, and its happiness is derived from the very best sources that are open to dwellers on this troubled and passionate planet.

There is no logical impossibility in the hypothesis that the world sprang into being five minutes ago, exactly as it then was, with a population that "remembered" a wholly unreal past. There is no logically necessary connection between events at different times; therefore nothing that is happening now or will happen in the future can disprove the hypothesis that the world began five minutes ago.

The plan we are advocating amounts essentially to this: that a certain small income, sufficient for necessaries, should be secured to all, whether they work or not, and that a larger income, as much larger as might be warranted by the total amount of commodities produced, should be given to those who are willing to engage in some work which the community recognizes as useful.

Modern physics... reduces matter to a set of events which proceed outward from a centre. If there is something further in the centre itself, we cannot know about it, and it is irrelevant to physics.

The theoretical understanding of the world, which is the aim of philosophy, is not a matter of great practical importance to animals, or to savages, or even to most civilized men.

People seem good while they are oppressed, but they only wish to become oppressors in their turn: life is nothing but a competition to be the criminal rather than the victim.

The good life is one inspired by love and guided by knowledge.

An extra-terrestrial philosopher, who had watched a single youth up to the age of twenty-one and had never come across any other human being, might conclude that it is the nature of human beings to grow continually taller and wiser in an indefinite progress towards perfection; and this generalisation would be just as well founded as the generalisation which evolutionists base upon the previous history of this planet.

Written words differ from spoken words in being material structures. A spoken word is a process in the physical world, having an essential time-order; a written word is a series of pieces of matter, having an essential space-order.

Government by majorities can be made less oppressive by devolution, by placing the decision of questions primarily affecting only a section of the community in the hands of that section, rather than of a Central Chamber. In this way, men are no longer forced to submit to decisions made in a hurry by people mostly ignorant of the matter in hand and not personally interested.

...it [is] possible to suppose that, if Russia is allowed to have peace, an amazing industrial development may take place, making Russia a rival of the United States.

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.

In the visible world, the Milky Way is a tiny fragment; within this fragment, the solar system is an infinitesimal speck, and of this speck our planet is a microscopic dot. On this dot, tiny lumps of impure carbon and water, of complicated structure, with somewhat unusual physical and chemical properties, crawl about for a few years, until they are dissolved again into the elements of which they are compounded. They divide their time between labour designed to postpone the moment of dissolution for themselves and frantic struggles to hasten it for others of their kind.

Thee will find out in time that I have a great love of professing vile sentiments, I don't know why, unless it springs from long efforts to avoid priggery.

Life seems to me essentially passion, conflict, rage... It is only intellect that keeps me sane; perhaps this makes me overvalue intellect against feeling.

Political ideals must be based upon ideals for the individual life. The aim of politics should be to make the lives of individuals as good as possible.

A logical theory may be tested by its capacity for dealing with puzzles, and it is a wholesome plan, in thinking about logic, to stock the mind with as many puzzles as possible, since these serve much the same purpose as is served by experiments in physical science.

One must look into hell before one has any right to speak of heaven.

To those who inquire as to the purpose of mathematics, the usual answer will be that it facilitates the making of machines, the travelling from place to place, and the victory over foreign nations, whether in war or commerce. ... The reasoning faculty itself is generally conceived, by those who urge its cultivation, as merely a means for the avoidance of pitfalls and a help in the discovery of rules for the guidance of practical life.

The true function of logic ... as applied to matters of experience ... is analytic rather than constructive; taken a priori, it shows the possibility of hitherto unsuspected alternatives more often than the impossibility of alternatives which seemed prima facie possible. Thus, while it liberates imagination as to what the world may be, it refuses to legislate as to what the world is.

The fact that all Mathematics is Symbolic Logic is one of the greatest discoveries of our age; and when this fact has been established, the remainder of the principles of mathematics consists in the analysis of Symbolic Logic itself.

Of all evils of war the greatest is the purely spiritual evil: the hatred, the injustice, the repudiation of truth, the artificial conflict.

To understand a name you must be acquainted with the particular of which it is a name.

In action, in desire, we must submit perpetually to the tyranny of outside forces; but in thought, in aspiration, we are free, free from our fellowmen, free from the petty planet on which our bodies impotently crawl, free even, while we live, from the tyranny of death.

No man is liberated from fear who dare not see his place in the world as it is; no man can achieve the greatness of which he is capable until he has allowed himself to see his own littleness.

Thee might observe incidentally that if the state paid for child-bearing it might and ought to require a medical certificate that the parents were such as to give a reasonable result of a healthy child - this would afford a very good inducement to some sort of care for the race, and gradually as public opinion became educated by the law, it might react on the law and make that more stringent, until one got to some state of things in which there would be a little genuine care for the race, instead of the present haphazard higgledy-piggledy ways.

When people begin to philosophize they seem to think it necessary to make themselves artificially stupid.

The best life is the one in which the creative impulses play the largest part and the possessive impulses the smallest.

All's well that ends well; which is the epitaph I should put on my tombstone if I were the last man left alive.

I hate the world and almost all the people in it. I hate the Labour Congress and the journalists who send men to be slaughtered, and the fathers who feel a smug pride when their sons are killed, and even the pacifists who keep saying human nature is essentially good, in spite of all the daily proofs to the contrary. I hate the planet and the human race - I am ashamed to belong to such a species.

I do wish I believed in the life eternal, for it makes me quite miserable to think man is merely a kind of machine endowed, unhappily for himself, with consciousness.

Mathematics, rightly viewed, possesses not only truth, but supreme beauty - a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of highest excellence, is to be found in mathematics as surely as in poetry. What is best in mathematics deserves not merely to be learnt as a task, but to be assimilated as a part of daily thought, and brought again and again before the mind with ever-renewed encouragement.

In fact the opposition of instinct and reason is mainly illusory. Instinct, intuition, or insight is what first leads to the beliefs which subsequent reason confirms or confutes; but the confirmation, where it is possible, consists, in the last analysis, of agreement with other beliefs no less instinctive. Reason is a harmonising, controlling force rather than a creative one. Even in the most purely logical realms, it is insight that first arrives at what is new.

I may as well say at once that I do not distinguish between inference and deduction. What is called induction appears to me to be either disguised deduction or a mere method of making plausible guesses.

No nation was ever so virtuous as each believes itself, and none was ever so wicked as each believes the other.

In a logically perfect language, there will be one word and no more for every simple object, and everything that is not simple will be expressed by a combination of words, by a combination derived, of course, from the words for the simple things that enter in, one word for each simple component.

Indignation is a submission of our thoughts, but not of our desires.

Is there any knowledge in the world which is so certain that no reasonable man could doubt it?

It seems to me now that mathematics is capable of an artistic excellence as great as that of any music, perhaps greater; not because the pleasure it gives (although very pure) is comparable, either in intensity or in the number of people who feel it, to that of music, but because it gives in absolute perfection that combination, characteristic of great art, of godlike freedom, with the sense of inevitable destiny; because, in fact, it constructs an ideal world where everything is perfect and yet true.