Quotes about characteristic

page 8

Source: Living Systems: Basic Concepts (1969), p. 53; About conceptual or abstracted spaces

p, 125
Man's Rise to Civilization (1968)

Speech to The Hague (17 May 1971), from The Common Market: Renegotiate or Come Out (Elliot Right Way Books, 1973), p. 97, p. 100.
1970s

The Australians: Insiders and Outsiders on the National Character since 1770 (2007)

A Marxist Case For Intersectionality (2017)

Source: Paris France (1940), p. 12

Source: Capitalism and Modern Social Theory (1971), pp. 15-16.

Speech to the third annual banquet of the Kingston and District Working Men's Conservative Association (13 June, 1883), quoted in 'The Marquis Of Salisbury At Kingston', The Times (14 June 1883), p. 7
1880s

1911 - 1914, The 'Savages' of Germany' (1912)

Quoted in "He Led Hitler's Navy," "New York Times" article, April 24, 1960.

Source: Law and Authority (1886), I
Context: Men who long for freedom begin the attempt to obtain it by entreating their masters to be kind enough to protect them by modifying the laws which these masters themselves have created!
But times and tempers are changed. Rebels are everywhere to be found who no longer wish to obey the law without knowing whence it comes, what are its uses, and whither arises the obligation to submit to it, and the reverence with which it is encompassed. The rebels of our day are criticizing the very foundations of society which have hitherto been held sacred, and first and foremost amongst them that fetish, law.
The critics analyze the sources of law, and find there either a god, product of the terrors of the savage, and stupid, paltry, and malicious as the priests who vouch for its supernatural origin, or else, bloodshed, conquest by fire and sword. They study the characteristics of law, and instead of perpetual growth corresponding to that of the human race, they find its distinctive trait to be immobility, a tendency to crystallize what should be modified and developed day by day.

Lecture XX, "Conclusions"
1900s, The Varieties of Religious Experience (1902)
Context: This thoroughly 'pragmatic' view of religion has usually been taken as a matter of course by common men. They have interpolated divine miracles into the field of nature, they have built a heaven out beyond the grave. It is only transcendentalist metaphysicians who think that, without adding any concrete details to Nature, or subtracting any, but by simply calling it the expression of absolute spirit, you make it more divine just as it stands. I believe the pragmatic way of taking religion to be the deeper way. It gives it body as well as soul, it makes it claim, as everything real must claim, some characteristic realm of fact as its very own. What the more characteristically divine facts are, apart from the actual inflow of energy in the faith-state and the prayer-state, I know not. But the over-belief on which I am ready to make my personal venture is that they exist. The whole drift of my education goes to persuade me that the world of our present consciousness is only one out of many worlds of consciousness that exist, and that those other worlds must contain experiences which have a meaning for our life also; and that although in the main their experiences and those of this world keep discrete, yet the two become continuous at certain points, and higher energies filter in. By being faithful in my poor measure to this over-belief, I seem to myself to keep more sane and true. I can, of course, put myself into the sectarian scientist's attitude, and imagine vividly that the world of sensations and scientific laws and objects may be all. But whenever I do this, I hear that inward monitor of which W. K. Clifford once wrote, whispering the word 'bosh!' Humbug is humbug, even though it bear the scientific name, and the total expression of human experience, as I view it objectively, invincibly urges me beyond the narrow 'scientific' bounds. Assuredly, the real world is of a different temperament — more intricately built than physical science allows. So my objective and my subjective conscience both hold me to the over-belief which I express. Who knows whether the faithfulness of individuals here below to their own poor over-beliefs may not actually help God in turn to be more effectively faithful to his own greater tasks?

Autobiographical essay (1994)

As quoted in Challenge of a Liberal Faith (1988), by George N. Marshall, Ch. 3 : A Contemporary Religion, p. 34
Context: I think that one of our most important tasks is to convince others that there's nothing to fear in difference; that difference, in fact, is one of the healthiest and most invigorating of human characteristics without which life would become meaningless. Here lies the power of the liberal way: not in making the whole world Unitarian, but in helping ourselves and others to see some of the possibilities inherent in viewpoints other than one's own; in encouraging the free interchange of ideas; in welcoming fresh approaches to the problems of life; in urging the fullest, most vigorous use of critical self-examination.

Source: Anarcho-Syndicalism (1938), Ch. 4 "The Objectives of Anarcho-syndicalism"
Context: For the state centralisation is the appropriate form of organisation, since it aims at the greatest possible uniformity in social life for the maintenance of political and social equilibrium. But for a movement whose very existence depends on prompt action at any favourable moment and on the independent thought and action of its supporters, centralism could but be a curse by weakening its power of decision and systematically repressing all immediate action … Organisation is, after all, only a means to an end. When it becomes an end in itself, it kills the spirit and the vital initiative of its members and sets up that domination by mediocrity which is the characteristic of all bureaucracies.

Journal entry (21 July 1944); later published in The Wartime Journals (1970)
Context: The intense artillery fire has stripped the trees of leaves and branches so that the outline of the coral ridge itself can be seen silhouetted against the sky. Since I have been on Owi Island, at irregular intervals through the night and day, the sound of our artillery bombarding this Japanese stronghold has floated in across the water. This afternoon, I stood on the cliff outside our quarters (not daring to sit on the ground because of the danger of typhus) and watched the shells bursting on the ridge. For weeks that handful of Japanese soldiers, variously estimated at between 250 and 700 men, has been holding out against overwhelming odds and the heaviest bombardment our well-supplied guns can give them.
If positions were reversed and our troops held out so courageously and well, their defense would be recorded as one of the most glorious examples of tenacity, bravery, and sacrifice in the history of our nation. But, sitting in the security and relative luxury of our quarters, I listen to American Army officers refer to these Japanese soldiers as "yellow sons of bitches." Their desire is to exterminate the Jap ruthlessly, even cruelly. I have not heard a word of respect or compassion spoken of our enemy since I came here.
It is not the willingness to kill on the part of our soldiers which most concerns me. That is an inherent part of war. It is our lack of respect for even the admirable characteristics of our enemy — for courage, for suffering, for death, for his willingness to die for his beliefs, for his companies and squadrons which go forth, one after another, to annihilation against our superior training and equipment. What is courage for us is fanaticism for him. We hold his examples of atrocity screamingly to the heavens while we cover up our own and condone them as just retribution for his acts.

On the Social State of Marxism (1978)

Some Comments from a Numerical Analyst (1971)
Context: Turing had a strong predeliction for working things out from first principles, usually in the first instance without consulting any previous work on the subject, and no doubt it was this habit which gave his work that characteristically original flavor. I was reminded of a remark which Beethoven is reputed to have made when he was asked if he had heard a certain work of Mozart which was attracting much attention. He replied that he had not, and added "neither shall I do so, lest I forfeit some of my own originality."

He doesn’t want a society where he is separate as Negro, but one where he is just another man.
Constance Webb, "Notes preliminary to a full study of the work of Richard Wright" (privately published, 1946)

Who is Loyal to America? (1947)
Context: Independence was an act of revolution; republicanism was something new under the sun; the federal system was a vast experimental laboratory. Physically Americans were pioneers; in the realm of social and economic institutions, too, their tradition has been one of pioneering. From the beginning, intellectual and spiritual diversity have been as characteristic of America as racial and linguistic. The most distinctively American philosophies have been transcendentalism — which is the philosophy of the Higher Law and pragmatism — which is the philosophy of experimentation and pluralism. These two principles are the very core of Americanism: the principle of the Higher Law, or of obedience to the dictates of conscience rather than of statutes, and the principle of pragmatism, or the rejection of a single good and of the notion of a finished universe. From the beginning Americans have known that there were new worlds to conquer, new truths to be discovered. Every effort to confine Americanism to a single pattern, to constrain it to a single formula, is disloyalty to everything that is valid in Americanism.

Chap.I: The Coming Of The Masses
The Revolt of the Masses (1929)
Context: The characteristic of the hour is that the commonplace mind, knowing itself to be commonplace, has the assurance to proclaim the rights of the commonplace and to impose them wherever it will. As they say in the United States: "to be different is to be indecent." The mass crushes beneath it everything that is different, everything that is excellent, individual, qualified and select. Anybody who is not like everybody, who does not think like everybody, runs the risk of being eliminated. And it is clear, of course, that this "everybody" is not "everybody." "Everybody" was normally the complex unity of the mass and the divergent, specialised minorities. Nowadays, "everybody" is the mass alone.

Disturbing the Universe (1979), Pt. 1, Ch. 1

Source: What Time's the Next Swan? (1962), Ch. 1, p. 3
Context: In that wonderful musical show Knickerbocker Holiday Maxwell Anderson defined the outstanding characteristics of an American as "one who refuses to take orders!"
I think that I qualified for that, my chosen nationality, at an early age. As far back as I can remember, an expressly given order triggered instant defiance. My little mind started functioning like an IBM machine; signals flashed in my resistance center, lights flickered around my resentment glands, bell and buzzer alerted all the cunning of a five-year-old.
Strategy and tactics went to work, not to rest till they had circumvented or defied that specific order.
I don't know if that character trait was deplorable or laudable; I only know that I have never been able to lose it. And I am extremely grateful that I was too young to serve in the First World War and too old for the Second; I surely would have been court-martialed for insubordination, and expired in front of a firing squad.
Even today, at my ripe old age, if someone suggests I do something and this suggestion is tinged with an excessive amount of authority, I immediately turn into a bristling fortress of resistance.

Testimony XXIV in Reminiscences of Abraham Lincoln by Distinguished Men of His Time (1886) edited by Allen Thorndike Rice
Context: I saw Mr. Lincoln a number of times during the canvass for his second election. The characteristic which struck me most was his superabundance of common sense. His power of managing men, of deciding and avoiding difficult questions, surpassed that of any man I ever met. A keen insight of human nature had been cultivated by the trials and struggles of his early life. He knew the people and how to reach them better than any man of his time. I heard him tell a great many stories, many of which would not do exactly for the drawing-room; but for the person he wished to reach, and the object he desired to accomplish with the individual, the story did more than any argument could have done.

Teaching as a Subversive Activity (1969)
Context: The BASIC FUNCTION of all education, even in the most traditional sense, is to increase the survival prospects of the group. If this function is fulfilled, the group survives. If not, it doesn't. There have been times when this function was not fulfilled, and groups (some of them we even call "civilizations") disappeared. Generally, this resulted from changes in the kind of threats the group faced. The threats changed, but the education did not, and so the group, in a way, "disappeared itself" (to use a phrase from Catch-22). The tendency seems to be for most "educational" systems, from patterns of training in "primitive" tribal societies to school systems in technological societies, to fall imperceptibly into a role devoted exclusively to the conservation of old ideas, concepts, attitudes, skills, and perceptions. This happens largely because of the unconsciously held belief that these old ways of thinking and doing are necessary to the survival of the group. …Survival in a stable environment depends almost entirely on remembering the strategies for survival that have been developed in the past, and so the conservation and transmission of these becomes the primary mission of education. But, a paradoxical situation develops when change becomes the primary characteristic of the environment. Then the task turns inside out — survival in a rapidly changing environment depends almost entirely upon being able to identify which of the old concepts are relevant to the demands imposed by the new threats to survival, and which are not. Then a new educational task becomes critical: getting the group to unlearn (to "forget") the irrelevant concepts as a prior condition of learning. What we are saying is that the "selective forgetting" is necessary for survival.

" Cargo Cult Science http://calteches.library.caltech.edu/51/2/CargoCult.htm", adapted from a 1974 Caltech commencement address; also published in Surely You're Joking, Mr. Feynman!, p. 345
Context: All experiments in psychology are not of this [cargo cult] type, however. For example there have been many experiments running rats through all kinds of mazes, and so on — with little clear result. But in 1937 a man named Young did a very interesting one. He had a long corridor with doors all along one side where the rats came in, and doors along the other side where the food was. He wanted to see if he could train rats to go to the third door down from wherever he started them off. No. The rats went immediately to the door where the food had been the time before.The question was, how did the rats know, because the corridor was so beautifully built and so uniform, that this was the same door as before? Obviously there was something about the door that was different from the other doors. So he painted the doors very carefully, arranging the textures on the faces of the doors exactly the same. Still the rats could tell. Then he thought maybe they were smelling the food, so he used chemicals to change the smell after each run. Still the rats could tell. Then he realized the rats might be able to tell by seeing the lights and the arrangement in the laboratory like any commonsense person. So he covered the corridor, and still the rats could tell.He finally found that they could tell by the way the floor sounded when they ran over it. And he could only fix that by putting his corridor in sand. So he covered one after another of all possible clues and finally was able to fool the rats so that they had to learn to go to the third door. If he relaxed any of his conditions, the rats could tell.Now, from a scientific standpoint, that is an A-number-one experiment. That is the experiment that makes rat-running experiments sensible, because it uncovers the clues that the rat is really using — not what you think it's using. And that is the experiment that tells exactly what conditions you have to use in order to be careful and control everything in an experiment with rat-running.I looked into the subsequent history of this research. The next experiment, and the one after that, never referred to Mr. Young. They never used any of his criteria of putting the corridor on sand, or of being very careful. They just went right on running rats in the same old way, and paid no attention to the great discoveries of Mr. Young, and his papers are not referred to, because he didn't discover anything about rats. In fact, he discovered all the things you have to do to discover something about rats. But not paying attention to experiments like that is a characteristic of cargo cult science.

Letter to Georg Brandes (17 February 1871), as translated in Henrik Ibsen : Björnstjerne Björnson. Critical Studies (1899) by Georg Morris Cohen Brandes
Variant translation: The quality of liberty is that, as long as it is being striven after, it goes on expanding. Therefore, the man who stands still in the midst of the struggle and says: "I have it," merely shows by so doing that he has lost it. Now this very contentedness in the possession of a dead liberty is a characteristic of the so-called state; and it is worthless.
As translated in Ibsen : The Man, His Art & His Significance (1907) by Haldane Macfall, p. 238
Variant translation: Neither moral concepts nor art forms can expect to live forever. How much are we obliged to hold on to? Who can guarantee that 2 plus 2 don't add up to 5 on Jupiter?
Context: He who possesses liberty otherwise than as an aspiration possesses it soulless, dead. One of the qualities of liberty is that, as long as it is being striven after, it goes on expanding. Therefore, the man who stands still in the midst of the struggle and says, "I have it," merely shows by so doing that he has just lost it. Now this very contentedness in the possession of a dead liberty is characteristic of the so-called State, and, as I have said, it is not a good characteristic. No doubt the franchise, self-taxation, etc., are benefits — but to whom? To the citizen, not to the individual. Now, reason does not imperatively demand that the individual should be a citizen. Far from it. The State is the curse of the individual. With what is Prussia's political strength bought? With the absorption of the individual in the political and geographical idea. The waiter is the best soldier. And on the other hand, take the Jewish people, the aristocracy of the human race — how is it they have kept their place apart, their poetical halo, amid surroundings of coarse cruelty? By having no State to burden them. Had they remained in Palestine, they would long ago have lost their individuality in the process of their State's construction, like all other nations. Away with the State! I will take part in that revolution. Undermine the whole conception of a State, declare free choice and spiritual kinship to be the only all-important conditions of any union, and you will have the commencement of a liberty that is worth something. Changes in forms of government are pettifogging affairs — a degree less or a degree more, mere foolishness. The State has its root in time, and will ripe and rot in time. Greater things than it will fall — religion, for example. Neither moral conceptions nor art-forms have an eternity before them. How much are we really in duty bound to pin our faith to? Who will guarantee me that on Jupiter two and two do not make five?

Don Quixote (1986)
Context: Even a woman who has the soul of a pirate, at least pirate morals, even a woman who prefer loneliness to the bickerings and constraints of heterosexual marriage, even such a woman who is a freak in our society needs a home.
Even freaks needs homes, countries, language, communication.
The only characteristic freaks share is our knowledge that we don't fit in. Anywhere. Is it for you, freaks, my loves, I am writing and it is about you.

Source: A New Model of the Universe (1932), p. 37-38; "Consequently what is often regarded as "political" activity is in fact a criminal activity"' has also been translated as "Consequently, the biggest crimes actually escape being called crimes" in a 1984 edition.
Context: Existing criminology is insufficient to isolate barbarism. It is insufficient because the idea of "crime" in existing criminology is artificial, for what is called crime is really an infringement of "existing laws", whereas "laws" are very often a manifestation of barbarism and violence. Such are the prohibiting laws of different kinds which abound in modern life. The number of these laws is constantly growing in all countries and, owing to this, what is called crime is very often not a crime at all, for it contains no element of violence or harm. On the other hand, unquestionable crimes escape the field of vision of criminology, either because they have not recognized the form of crime or because they surpass a certain scale. In existing criminology there are concepts: a criminal man, a criminal profession, a criminal society, a criminal sect, and a criminal tribe, but there is no concept of a criminal state, or a criminal government, or criminal legislation. Consequently what is often regarded as "political" activity is in fact a criminal activity.
This limitation of the field of vision of criminology together with the absence of an exact and permanent definition of the concept of crime is one of the chief characteristics of our culture.

Newsweek interview, July 8, 1991
Context: If you cannot see that divinity includes male and female characteristics and at the same time transcends them, you have bad consequences. Rome and Cardinal O'Connor base the exclusion of women priests on the idea that God is the Father and Jesus is His Son, there were only male disciples, etc. They are defending a patriarchal Church with a patriarchal God. We must fight the patriarchal misunderstanding of God.

Douglass here quotes William Lloyd Garrison, who famously declared in the first issue of The Liberator: "I am in earnest — I will not equivocate — I will not excuse — I will not retreat a single inch — AND I WILL BE HEARD."
1850s, What to the Slave is the Fourth of July? (1852)
Context: I shall see, this day, and its popular characteristics, from the slave's point of view. Standing, there, identified with the American bondman, making his wrongs mine, I do not hesitate to declare, with all my soul, that the character and conduct of this nation never looked blacker to me than on this 4th of July! Whether we turn to the declarations of the past, or to the professions of the present, the conduct of the nation seems equally hideous and revolting. America is false to the past, false to the present, and solemnly binds herself to be false to the future. Standing with God and the crushed and bleeding slave on this occasion, I will, in the name of humanity which is outraged, in the name of liberty which is fettered, in the name of the constitution and the Bible, which are disregarded and trampled upon, dare to call in question and to denounce, with all the emphasis I can command, everything that serves to perpetuate slavery — the great sin and shame of America! "I will not equivocate; I will not excuse;" I will use the severest language I can command; and yet not one word shall escape me that any man, whose judgement is not blinded by prejudice, or who is not at heart a slaveholder, shall not confess to be right and just.

The Great Amphibian, The Sunday Pictorial, 23 July 1916.
Reproduced in The Collected Essays of Sir Winston Churchill, Vol I, Churchill at War, Centenary Edition (1976), Library of Imperial History, p. 101.
Early career years (1898–1929)
Context: The true characteristic of all British strategy lies in the use of amphibious power. Not the sea alone, but the land and the sea together: not the Fleet alone, but the Army in the hand of the Fleet.

None of Your Business! https://web.archive.org/web/20120127122559/http://www.ronpaularchive.com/2004/07/none-of-your-business (12 July 2004).
2000s, 2001-2005
Context: I introduced an amendment last week that would have eliminated funds for this intrusive survey in a spending bill, explaining on the House floor that perhaps the American people dont appreciate being threatened by Big Brother. The amendment was met by either indifference or hostility, as most members of Congress either dont care about or actively support government snooping into the private affairs of citizens. One of the worst aspects of the census is its focus on classifying people by race. When government tells us it wants information to help any given group, it assumes every individual who shares certain physical characteristics has the same interests, or wants the same things from government. This is an inherently racist and offensive assumption. The census, like so many federal policies and programs, inflames racism by encouraging Americans to see themselves as members of racial groups fighting each other for a share of the federal pie.

TV interview for Thames TV This Week (5 February 1976) http://www.margaretthatcher.org/speeches/displaydocument.asp?docid=102953
Leader of the Opposition

Source: The Technological Society (1954), p. 97
Context: A principal characteristic of technique … is its refusal to tolerate moral judgments. It is absolutely independent of them and eliminates them from its domain. Technique never observes the distinction between moral and immoral use. It tends on the contrary, to create a completely independent technical morality.
Here, then, is one of the elements of weakness of this point of view. It does not perceive technique's rigorous autonomy with respect to morals; it does not see that the infusion of some more or less vague sentiment of human welfare cannot alter it. Not even the moral conversion of the technicians could make a difference. At best, they would cease to be good technicians. This attitude supposes further that technique evolves with some end in view, and that this end is human good. Technique is totally irrelevant to this notion and pursues no end, professed or unprofessed.

"The Rise".
The Long-Legged House (1969)
Context: We haven't accepted — we can't really believe — that the most characteristic product of our age of scientific miracles is junk, but that is so. And we still think and behave as though we face an unspoiled continent, with thousands of acres of living space for every man. We still sing "America the Beautiful" as though we had not created in it, by strenuous effort, at great expense, and with dauntless self-praise, an unprecedented ugliness.

1910s, Principles of Research (1918)
Context: In the temple of science are many mansions, and various indeed are they that dwell therein and the motives that have led them thither. Many take to science out of a joyful sense of superior intellectual power; science is their own special sport to which they look for vivid experience and the satisfaction of ambition; many others are to be found in the temple who have offered the products of their brains on this altar for purely utilitarian purposes. Were an angel of the Lord to come and drive all the people belonging to these two categories out of the temple, the assemblage would be seriously depleted, but there would still be some men, of both present and past times, left inside. Our Planck is one of them, and that is why we love him.
I am quite aware that we have just now lightheartedly expelled in imagination many excellent men who are largely, perhaps chiefly, responsible for the buildings of the temple of science; and in many cases our angel would find it a pretty ticklish job to decide. But of one thing I feel sure: if the types we have just expelled were the only types there were, the temple would never have come to be, any more than a forest can grow which consists of nothing but creepers. For these people any sphere of human activity will do, if it comes to a point; whether they become engineers, officers, tradesmen, or scientists depends on circumstances.
Now let us have another look at those who have found favor with the angel. Most of them are somewhat odd, uncommunicative, solitary fellows, really less like each other, in spite of these common characteristics, than the hosts of the rejected. What has brought them to the temple? That is a difficult question and no single answer will cover it.

Part 3, Ch. 2 The Totalitarian Movement, page 80 https://books.google.de/books?id=I0pVKCVM4TQC&pg=PT104&dq=A+mixture+of+gullibility+and+cynicism+had+been+an+outstanding+characteristic+of+mob+mentality+before+it+became+an+everyday+phenomenon+of+masses.&hl=de&sa=X&redir_esc=y#v=onepage&q=A%20mixture%20of%20gullibility%20and%20cynicism%20had%20been%20an%20outstanding%20characteristic%20of%20mob%20mentality%20before%20it%20became%20an%20everyday%20phenomenon%20of%20masses.&f=false
The Origins of Totalitarianism (1951)
Context: A mixture of gullibility and cynicism had been an outstanding characteristic of mob mentality before it became an everyday phenomenon of masses. In an ever-changing, incomprehensible, world the masses had reached the point where they would, at the same time, believe everything and nothing, think that everything is possible and that nothing was true. The mixture in itself was remarkable enough, because it spelled the end of the illusion that gullibility was a weakness of unsuspecting primitive souls and cynism the vice of superior and refined minds. Mass propaganda discovered that its audience was ready at all times to believe the worst, no matter how absurd, and did not particularly object to being deceived because it held every statement to be a lie anyhow. The totalitarian mass leaders based their propaganda on the correct psychological assumption that, under such conditions, one could make people believe the most fantastic statements one day, and trust if the next day they were given irrefutable proof of their falsehood, they would take refuge in cynicism; instead of deserting the leaders who had lied to them, they would protest that they had known all along the statement was a lie and would admire the leaders for their superior tactical cleverness.

Voicing opposition to the McCarran Internal Security Act of 1950
Context: The whole notion of loyalty inquisitions is a national characteristic of the police state, not of democracy. The history of Soviet Russia is a modern example of this ancient practice. I must, in good conscience, protest against any unnecessary suppression of our rights as free men. We must not burn down the house to kill the rats.

Ideology and Utopia (1929)
Context: In general there are two distinct and separable meanings of the term "ideology" — the particular and the total.
The particular conception of ideology is implied when the term denotes that we are sceptical of the ideas and representations advanced by our opponent. They are regarded as more or less conscious disguises of the real nature of a situation, the true recognition of which would not be in accord with his interests. These distortions range all the way from conscious lies to half-conscious and unwitting disguises; from calculated attempts to dupe others to self-deception. This conception of ideology, which has only gradually become differentiated from the common-sense notion of the lie is particular in several senses. Its particularity becomes evident when it is contrasted with the more inclusive total conception of ideology. Here we refer to the ideology of an age or of a concrete historico-social group, e. g. of a class, when we are concerned with the characteristics and composition of the total structure of the mind of this epoch or of this group. Although they have something in common, there are also significant differences between them.

Source: Science and Hypothesis (1901), Ch. I. (1905) Tr. George Bruce Halstead
Context: This procedure is the demonstration by recurrence. We first establish a theorem for n = 1; then we show that if it is true of n - 1, it is true of n, and thence conclude that it is true for all the whole numbers... Here then we have the mathematical reasoning par excellence, and we must examine it more closely.
... The essential characteristic of reasoning by recurrence is that it contains, condensed, so to speak, in a single formula, an infinity of syllogisms.
... to arrive at the smallest theorem [we] can not dispense with the aid of reasoning by recurrence, for this is an instrument which enables us to pass from the finite to the infinite.
This instrument is always useful, for, allowing us to overleap at a bound as many stages as we wish, it spares us verifications, long, irksome and monotonous, which would quickly become impracticable. But it becomes indispensable as soon as we aim at the general theorem...
In this domain of arithmetic,.. the mathematical infinite already plays a preponderant rôle, and without it there would be no science, because there would be nothing general.<!--pp.10-12

Pages 135–138.
The Common Sense of Political Economy (1910), Systematic and Constructive (Book I), "Money and Exchange" (ch. 4)
Context: In a great and complex industrial society direct reciprocity of services will not be the rule. I, Robinson, may (as before) want to have my old potatoes preserved and may not have the conveniences and capacities which give me exceptional qualifications for the task; whereas you, Jones, may have what I want; but I may have no relatively superior opportunities for rendering any corresponding service to you. I may, however, know Brown, who is good at growing the new potatoes you like, but has no special taste for them; and he may want nets mending or making, to put over his fruit-trees. I may, through physical constitution, acquired skill, or any other circumstance, be relatively better qualified, or in a better position, for making or mending nets than for either growing new potatoes or preserving old ones, and so I may do netting for Brown and get new potatoes, not because I want them myself, but because I know you want them, and I can barter them with you for the old potatoes you have preserved. Here I make nets which (relatively to the trouble of making them) I do not want, and I give them to Brown for new potatoes that I do not (relatively) want either, because I know that you who want new potatoes will give old potatoes for them, to which old potatoes I do attach a value that compensates me for the work I put into the nets. Or if you know about Brown and his tastes, you may give me old potatoes for my nets, not because you want nets, but because you want new potatoes and know that Brown, who has them, will give them to you in exchange for nets. Thus each is making what some one else wants in order to get what he wants himself. Further, if it is a fruit-growing and market-gardening country, you, without knowing any specific Brown who has new potatoes and wants nets, and without indeed there being any such person at all, may be willing to give me old potatoes for nets because you are pretty certain of finding a Smith somewhere who has new potatoes and will give them to you on suitable terms in exchange for nets, not because he wants nets either, but because he, in his turn, will by-and-by want cherries, which he does not grow, but expects to be able to get in exchange for nets from Williams. We need not carry the illustration any further to see that any article which is well known to be valued by a large and easily accessible class of persons may be taken habitually in exchange for valued commodities, although those who take it do not want it for their own use, and it does not, on its own merits, occupy such a place on their relative scale as would justify the exchange. All that is necessary is that there should be a confident expectation of finding some one on whose relative scale it does take such a place. The derivative value that such an article will possess in the mind of a man who has no direct use for it will depend on the direct value which it is conjectured to have in the mind of some accessible though not definitely identified individual or individuals. If there is some article of very generally recognised value which actually takes its place, as directly significant, on the scales of a great number of people, it may come to be generally accepted, without any special calculation or consideration, by people who are not thinking of any use they may have for it themselves, but are aware that it occupies a sufficiently high relative place on the scales of others to recoup them for what they give in exchange for it. As soon as this custom begins to be well established it will automatically extend and confirm itself, and the commodity in question will become a "currency" or "medium of exchange," the special characteristic of a medium of exchange being that it is accepted by a man who does not want it, or does not want it as much as what he gives for it, in order that he may exchange it for something he wants more. If I have some potatoes and should prefer some cherries, and give my potatoes for some nets, which I do not want as much, because I know that some one else has the cherries and will prefer nets to them, then the nets are a "medium" by the intervention of which I can, at two removes, exchange my potatoes for the cherries, though I cannot find any one who has the cherries and will give them to me for the potatoes. Postage stamps often serve as a medium of exchange, because a large and easily accessible class of persons are constantly wanting the services that the stamps will command. Tram tickets, when issued in books, might and to a limited extent do serve as a medium of exchange in the same manner. Cook's coupons might easily pass as a medium of exchange amongst travellers on the Continent; and if the railway companies issued their dividends in the shape of claims for such and such a mileage of travelling on their lines the certificates would be readily accepted in exchange by people who had no intention of travelling themselves, if they could make sure of finding people who did want to travel and would give them valuables in exchange for the claims. It is a matter of common knowledge that cattle still perform this function of a medium of exchange in South Africa, and books tell us that furs were long used as currency by the traders on Hudson Bay, and tobacco by the planters in Virginia.Concurrently with these developments, or perhaps in advance of them, the custom will grow up of estimating the marginal significance of things in terms of the generally accepted article even when the article does not pass from hand to hand in exchanges. There is more evidence in the Homeric poems of the valuation of female slaves, of tripods, or of gold or brass armour, in terms of so many head of cattle, than there is of any direct transfer of cattle in payment for other goods. The convenience of such a standardising of values is obvious. If everything is scheduled in terms of one selected commodity it is indefinitely easier than it would otherwise be to realise the terms on which alternatives are open to us; and if any man defines his marginal estimate of anything he possesses in terms of this standard commodity any other member of the community will at once know whether or not it stands higher on his own scale than on the other's, and therefore whether or not the conditions for a mutually advantageous exchange exist.In England the functions of a standardising commodity and of a medium of exchange are both alike performed by gold. Gold is applied to a vast number of purposes in the arts and sciences, and were it more abundant it would replace other metals in many more. Consequently a great number of easily accessible persons actually give a relatively high place to gold on their scales of preference, in virtue of its direct significance to them. It is established by custom (and, so far as that is possible, by law) as the universally accepted commodity; and at the same time it is used as the common measure in terms of which our estimates of all exchangeable things may be stated.