Quotes about proportion
page 3

“A large proportion of Britain's Asian population fail to pass the cricket test. Which side do they cheer for? It is an interesting test. Are you still harking back to where you came from or where you are? I think we have got real problems in that regard.”

Norman Tebbit (1931) English politician

In an interview for the Los Angeles Times (April, 1990).

Problem, Thinking

“Some… agreeing with Philolaus, believe that the proportion is called harmonic because it attends upon all geometric harmony, and they say that 'geometric harmony' is the cube because it is harmonized in all three dimensions, being the product of a number thrice multiplied together. For in every cube this proportion is mirrored; there are in every cube 12 sides, 8 angles and 6 faces; hence 8, the [harmonic] mean between 6 and 12, is according to harmonic proportion…”

Nicomachus (60–120) Ancient Greek mathematician

this harmonic proportion may be expressed as <math>\frac{12}{6}=\frac{12-8}{8-6}</math> or inversely.
Nicomachus of Gerasa: Introduction to Arithmetic (1926)

“Everyone sees the unseen in proportion to the clarity of his heart, and that depends upon how much he has polished it.
Whoever has polished it more sees more — more unseen forms become manifest to him.”

Rumi (1207–1273) Iranian poet

As quoted in The Sufi Path of Love : The Spiritual Teachings of Rumi (1983) by William C. Chittick, p. 162

Heart, Dependency

“Every human mind you've ever looked at … is a product not just of natural selection but of cultural redesign of enormous proportions.”

Daniel Dennett (1942) American philosopher

Kinds of Minds (1996)

Nature

“Slave food, even if monotonous, was plentiful. Corn bread and bacon were the mainstays, with plenty of fruit and vegetables in season. In hog-killing time, countenances were unusually greasy. Clothing also was on the par with that of the poorer white people and no less adequate in proportion to the climate than that of Northern laborers. If [negro children] ran naked it was generally from choice, and when the white boys had to put on shoes and go away to school they were likely to envy the freedom of their colored playmates. The color line began to appear at about that time.”

W. Cleon Skousen (1913–2006) ex FBI agent, conservative United States author and faith-based political theorist

The Making of America (1986)

Children, People, School, Food

“I do not know a greater fault in the nurture of children than the conniving at the wanton acts of barbarity which they practise at an early age upon innocent insects; the judgment of that parent must be exceedingly defective, or strangely perverted, who can proportion the degree of cruelty to the smallness of the creature that unfortunately becomes the sufferer. It is but a fly, perhaps he may say, when he sees his child pluck off its wings or its legs by way of amusement; it is but a fly, and cannot feel much pain; besides the infant would cry if I was to take it from him, and that might endanger his health, which surely is of more consequence than many flies: but I fear worse consequences are to be dreaded by permitting it to indulge so vicious an inclination, for as it grows up, the same cruelty will in all likelihood be extended to larger animals, and its heart by degrees made callous to every claim of tenderness and humanity.”

Joseph Strutt (1749–1802) British engraver, artist, antiquary and writer

pg. 388
The Sports and Pastimes of the People of England (1801), Cruelty to insects

Pain, Children, Health, Age

“The immediate cause of the increase of population is the excess of the births above deaths; and the rate of increase, or the period of doubling, depends upon the proportion which the excess of the births above the deaths bears to the population.”

Thomas Robert Malthus (1766–1834) British political economist

Essay on the Principle of Population (1798; rev. through 1826)

Death, Birth, Dependency

“The Parthenon stands as a reproach to the rest of the world. May not this be because the rest of the world has forgotten, or never knew, the principles which made the Parthenon possible and of which harmony of proportion… was one?”

Ernest Flagg (1857–1947) American architect

Source: Small Houses: Their Economic Design and Construction (1922), Ch. II

World

“First there are the Jews who, dwelling in every country throughout the world, identify themselves with that country, enter into its national life and, while adhering faithfully to their own religion, regard themselves as citizens in the fullest sense of the State which has received them. Such a Jew living in England would say, 'I am an English man practising the Jewish faith.' This is a worthy conception, and useful in the highest degree. We in Great Britain well know that during the great struggle the influence of what may be called the 'National Jews' in many lands was cast preponderatingly on the side of the Allies; and in our own Army Jewish soldiers have played a most distinguished part, some rising to the command of armies, others winning the Victoria Cross for valour. There is no need to exaggerate the part played in the creation of Bolshevism and in the actual bringing about of the Russian Revolution, by these international and for the most part atheistical Jews, it is certainly a very great one; it probably outweighs all others. With the notable exception of Lenin, the majority of the leading figures are Jews. Moreover, the principal inspiration and driving power comes from the Jewish leaders. Thus Tchitcherin, a pure Russian, is eclipsed by his nominal subordinate Litvinoff, and the influence of Russians like Bukharin or Lunacharski cannot be compared with the power of Trotsky, or of Zinovieff, the Dictator of the Red Citadel (Petrograd) or of Krassin or Radek -- all Jews. In the Soviet institutions the predominance of Jews is even more astonishing. And the prominent, if not indeed the principal, part in the system of terrorism applied by the Extraordinary Commissions for Combating Counter-Revolution has been taken by Jews, and in some notable cases by Jewesses. The same evil prominence was obtained by Jews in the brief period of terror during which Bela Kun ruled in Hungary. The same phenomenon has been presented in Germany (especially in Bavaria), so far as this madness has been allowed to prey upon the temporary prostration of the German people. Although in all these countries there are many non-Jews every whit as bad as the worst of the Jewish revolutionaries, the part played by the latter in proportion to their numbers in the population is astonishing.”

Winston S. Churchill (1874–1965) Prime Minister of the United Kingdom

"Zionism versus Bolshevism", Illustrated Sunday Herald (February 1920)
Early career years (1898–1929)

Life, People, World, Faith

“Laws, like sausages, cease to inspire respect in proportion as we know how they are made.”

John Godfrey Saxe (1816–1887) American poet

As quoted in University Chronicle. University of Michigan (27 March 1869) books.google.de http://books.google.de/books?id=cEHiAAAAMAAJ&pg=PA164, Daily Cleveland Herald (29 March 1869), McKean Miner (22 April 1869), and "Quote... Misquote" http://www.nytimes.com/2008/07/21/magazine/27wwwl-guestsafire-t.html by Fred R. Shapiro in The New York Times (21 July 2008); similar remarks have long been attributed to Otto von Bismarck, but this is the earliest known quote regarding laws and sausages, and according to Shapiro's research, such remarks only began to be attributed to Bismarck in the 1930s.

Law

“O power of Love, O wondrous mystery!
How is my dark illumined by thy light,
That maketh morning of my gloomy night,
Setting my soul from Sorrow's bondage free
With swift-sent revelation! Yea, I see
Beyond the limitation of my sight
And senses, comprehending now, aright,
Today's proportion to eternity.
Through thee, my faith in God is made me sure,
My searching eyes have pierced the misty veil;
The pain and anguish which stern Sorrow brings
Through thee become more easy to endure.
Love-strong I mount, and heaven's high summit scale;
Through thee, my soul has spread her folded wings.”

Katrina Trask (1853–1922) American writer

Love

Love, God, Pain, Faith

“Jacob Bekenstein found… in 1971 that every black hole must have an entropy proportional to the area of its horizon… Stephen Hawking then refined this by showing that the constant of proportionality must be… exactly one quarter. …entropy is supposed to correspond to a measure of information …Loop quantum gravity… [gives] a detailed description of the microscopic structure of a black hole. …a horizon can have, for each quantized unit of area, a finite number of states. Counting them, we get exactly Bekenstein's result…”

Lee Smolin (1955) American cosmologist

"Loop Quantum Gravity," The New Humanists: Science at the Edge (2003)

“It is picked out from numbers progressing in continuous proportion. Of continuous progressions, an arithmetical is one which proceeds by equal intervals; a geometrical one which advances by unequal and proportionally increasing or decreasing intervals. Arithmetical progressions: 1, 2, 3, 4, 5, 6, 7, &c.; or 2, 4, 6, 8, 10, 12, 14, 16, &c, Geometrical progressions: 1, 2, 4, 8, 16, 32, 64, &c.; or 243, 81, 27, 9, 3, 1.”

John Napier (1550–1617) Scottish mathematician

The Construction of the Wonderful Canon of Logarithms (1889)

“It is a fact not to be disputed, that the aristocracy have not "progressed " in proportion to the other classes. A young nobleman of the present day has not a better education than his ancestor in the time of Elizabeth.”

Letitia Elizabeth Landon (1802–1838) English poet and novelist

The Monthly Magazine

Education, Time

“It is manifest that there is no danger at all in the proportion or quantity of knowledge, how large soever, lest it should make it swell or out-compass itself; no, but it is merely the quality of knowledge, which, be it in quantity more or less, if it be taken without the true corrective thereof, hath in it some nature of venom or malignity, and some effects of that venom, which is ventosity or swelling. This corrective spice, the mixture whereof maketh knowledge so sovereign, is charity, which the Apostle immediately addeth to the former clause; for so he saith, “Knowledge bloweth up, but charity buildeth up.””

Francis Bacon book The Advancement of Learning

Book I
The Advancement of Learning (1605)

Nature, Knowledge

“Even in respect to those crimes which seem perfectly beyond human foresight, such as murders committed in general at the close of quarrels, arising without a motive, and under other circumstances to all appearance the most fortuitous or accidental; nevertheless, experience proves that murders are committed annually, not only pretty nearly to the same extent, but even that the instruments employed are in the same proportions. Now, if this occurs in the case of crimes whose origin seems to be purely accidental, what shall we say of those admitted to be the result of reflection.”

Adolphe Quetelet (1796–1874) Belgian astronomer, mathematician, statistician and sociologist

Introductory
A Treatise on Man and the Development of His Faculties (1842)

Motivation, Appearance

“It is only by long and laborious study, and by the comparison of a number of individuals, that it will be possible to succeed in establishing correct average proportions each age, and in settling the limits betwixt they can be made to vary, without ceasing to be accurate and faithful to nature—our first and guide in this difficult study.”

Adolphe Quetelet (1796–1874) Belgian astronomer, mathematician, statistician and sociologist

Preface of M. Quetelet
A Treatise on Man and the Development of His Faculties (1842)

Age, Faith, Nature, Study

“A significant minority of people fully reject human evolution, opting instead for the belief that humans were specially created with no prior evolutionary ancestry less than ten thousand years ago. Such beliefs are often infused with a non-scientific perception of different races and how the supposedly originated. And, in spite of overwhelming scientific evidence and changing social norms, a relatively large proportion of people still cling to past traditions of white supremacy and racism.”

Daniel J. Fairbanks (1956) American artist

Source: Everyone is African: How Science Explodes the Myth of Race (2015), p. 155.

People, Change, Past

“The Labour Party has now been taken over by extremists…The Labour Party is now committed to a programme which is frankly and unashamedly Marxist, a programme initiated by its National Executive and now firmly endorsed by its official Party Conference. In the House of Commons the Labour Left may still be outnumbered, but their votes are vital to the continuance of Labour in office, and that gives them a strength out of proportion to their numbers. And make no mistake, that strength, those numbers, are growing. In the constituency Labour parties, in the Parliamentary Labour Party, in Transport House, in the Cabinet Room itself, the Marxists call an increasing number of tunes…let's not mince words. The dividing line between the Labour Party programme and Communism is becoming harder and harder to detect. Indeed, in many respects Labour's programme is more extreme than those of many Communist parties of Western Europe.”

Margaret Thatcher (1925–2013) British stateswoman and politician

Speech to Conservative Party Conference (8 October 1976) http://www.margaretthatcher.org/document/103105 <br class="br">Leader of the Opposition

Communication, Housing

“Granted that any practice causes more pain to animals than it gives pleasure to man; is that practice moral or immoral? And if, exactly in proportion as human beings raise their heads out of the slough of selfishness, they do not with one voice answer 'immoral,' let the morality of the principle of utility be for ever condemned.”

John Stuart Mill (1806–1873) British philosopher and political economist

Dr. Whewell on Moral Philosophy (1852), in Dissertations and Discussions: Political, Philosophical, and Historical, vol. 2, London: John W. Parker and son, 1859, p. 485 https://books.google.it/books?id=w-I3AQAAMAAJ&pg=PA485

Pain, Pleasure, Animals, Selfishness

“If one of these elements, heat, becomes predominant in any body whatsoever, it destroys and dissolves all the others with its violence. …Again if too much moisture enters the channels of a body, and thus introduces disproportion, the other elements, adulterated by the liquid, are impaired, and the virtues of the mixture dissolved. This defect, in turn, may arise from the cooling properties of moist winds and breezes blowing upon the body. In the same way, increase or diminution of the proportion of air or of the earthy which is natural to the body may enfeeble the other elements.”

Vitruvius book De architectura

Source: De architectura (The Ten Books On Architecture) (~ 15BC), Book I, Chapter IV, Sec. 6

Way, Nature

“The general character of our solution must be, therefore, that it withdraws from expenditure a proportion of the increased earnings. This is the only way, apart from shortages of goods or higher prices, by which we can secure a balance between money to be spent and goods to be bought.”

John Maynard Keynes (1883–1946) British economist

Source: How to Pay for the War (1940), Ch. 2 : The Character of the Solution

Money, Way

“In my figures [of his famous painting 'Vision After the Sermon'] I have achieved a great simplicity, which is both rustic and superstitious….. In this picture the landscape and the struggle [between Jacob wrestling with the angel ] exist only in the imagination of the people whom the sermon has moved to prayer. That's why there is a contrast between the people, depicted naturally, and the struggle in its unnatural and dis-proportioned landscape.”

Paul Gauguin (1848–1903) French Post-Impressionist artist

Source: 1870s - 1880s, The Writings of a Savage (1996), p. 24: quote in his letter to Vincent van Gogh, c. 1888

People, Angels, Imagination, Nature

“The God idea is growing more impersonal and nebulous in proportion as the human mind is learning to understand natural phenomena and in the degree that science progressively correlates human and social events.”

Emma Goldman (1868–1940) anarchist known for her political activism, writing, and speeches

The Philosophy of Atheism (1916)

God, Idea, Understanding, Nature

“That we are overdone with banking institutions which have banished the precious metals and substituted a more fluctuating and unsafe medium, that these have withdrawn capital from useful improvements and employments to nourish idleness, that the wars of the world have swollen our commerce beyond the wholesome limits of exchanging our own productions for our own wants, and that, for the emolument of a small proportion of our society who prefer these demoralizing pursuits to labors useful to the whole, the peace of the whole is endangered and all our present difficulties produced, are evils more easily to be deplored than remedied.”

Thomas Jefferson (1743–1826) 3rd President of the United States of America

Letter to Abbe Salimankis (1810) ME 12:379 The Writings of Thomas Jefferson "Memorial Edition" (20 Vols., 1903-04) edited by Andrew A. Lipscomb and Albert Ellery Bergh, Vol. 12, p. 379; also quoted at "Thomas Jefferson on Politics & Government: Money & Banking" at University of Virginia http://etext.virginia.edu/jefferson/quotations/jeff1325.htm <br class="br">Posthumous publications, On financial matters

War, World, Peace, Evil

“We are so accustomed to hear arithmetic spoken of as one of the three fundamental ingredients in all schemes of instruction, that it seems like inquiring too curiously to ask why this should be. Reading, Writing, and Arithmetic—these three are assumed to be of co-ordinate rank. Are they indeed co-ordinate, and if so on what grounds?
In this modern “trivium” the art of reading is put first. Well, there is no doubt as to its right to the foremost place. For reading is the instrument of all our acquisition. It is indispensable. There is not an hour in our lives in which it does not make a great difference to us whether we can read or not. And the art of Writing, too; that is the instrument of all communication, and it becomes, in one form or other, useful to us every day. But Counting—doing sums,—how often in life does this accomplishment come into exercise? Beyond the simplest additions, and the power to check the items of a bill, the arithmetical knowledge required of any well-informed person in private life is very limited. For all practical purposes, whatever I may have learned at school of fractions, or proportion, or decimals, is, unless I happen to be in business, far less available to me in life than a knowledge, say, of history of my own country, or the elementary truths of physics. The truth is, that regarded as practical arts, reading, writing, and arithmetic have no right to be classed together as co-ordinate elements of education; for the last of these is considerably less useful to the average man or woman not only than the other two, but than 267 many others that might be named. But reading, writing, and such mathematical or logical exercise as may be gained in connection with the manifestation of numbers, have a right to constitute the primary elements of instruction. And I believe that arithmetic, if it deserves the high place that it conventionally holds in our educational system, deserves it mainly on the ground that it is to be treated as a logical exercise. It is the only branch of mathematics which has found its way into primary and early education; other departments of pure science being reserved for what is called higher or university instruction. But all the arguments in favor of teaching algebra and trigonometry to advanced students, apply equally to the teaching of the principles or theory of arithmetic to schoolboys. It is calculated to do for them exactly the same kind of service, to educate one side of their minds, to bring into play one set of faculties which cannot be so severely or properly exercised in any other department of learning. In short, relatively to the needs of a beginner, Arithmetic, as a science, is just as valuable—it is certainly quite as intelligible—as the higher mathematics to a university student.”

Joshua Girling Fitch (1824–1903) British educationalist

Source: Lectures on Teaching, (1906), pp. 267-268.

Life, Truth, Education, School

“In such an environment there operates an unfortunate natural selection. Since not only the rewards but also the means and opportunities of public activity belong to the organized system, a bright boy will try to get ahead in it. He will do well in school, keep out of trouble, and apply for the right jobs. It would follow from this that the organized system is sparked by a good proportion of the bright boys, and so it is. On the other hand, in sheer self-protection, smart boys who are sensitive, have strong animal spirits or great souls, cannot play that game. There are two alternative possibilities: (1) Either the advantages of the organized system cause them to inhibit their powers, and they turn into cynical pushers or obsessional specialists or timid hard workers that make up the middle status of the system. Or (2) their natural virtues and perhaps alternative training are too strong and they become independents; but as such they are hard put, not so much hard put for money as for means to act; and so they are likely to become bitter, eccentric, etc., and so much the less effective in changing the system they disapprove”

Paul Goodman book Growing Up Absurd

Source: Growing Up Absurd (1956), p. 157.

Money, School, Soul, Game

“We hold that efficiency cannot itself be a "value." Rather, it operates in the interstices of a value system; it prescribes relationships (ratios or proportions) among parts of the value system; it receives its "moral content" by syntax, by absorption. Things are not simply "efficient" or "inefficient." They are efficient or inefficient for given purposes, and efficiency for one purpose may mean inefficiency for another.”

Dwight Waldo (1913–2000) American political scientist

Source: The Administrative State, 1948, p. 202

Parting

“Given the inefficiencies of what DC laughingly calls the 'criminal justice system,' I think we can safely assume that 95 percent of the black males in that city are semi-criminal or entirely criminal…[W]e are constantly told that it is evil to be afraid of black men, [but] it is hardly irrational. Black men commit murders, rapes, robberies, muggings, and burglaries all out of proportion to their numbers.”

Ron Paul (1935) American politician and physician

1992, quoted in [1978-1996: Texas Representative Ron Paul’s Newsletters Contain a Host of Bigoted Claims and Observations, History Commons, http://www.historycommons.org/context.jsp?item=a7896paulnewsletter#a7896paulnewsletter]
Disputed, Newsletters, Ron Paul Political Report

Men, Justice, Thinking, Evil

“Anyone who loves nature, as I do, cries out at the havoc being spread by humans, all over the globe. The pressures of city life can be appalling, as are the moral ambiguities that plague us, both at home and via yammering media. The temptation to seek uncomplicated certainty sends some rushing off to ashrams and crystal therapy, while many dive into the shelter of fundamentalism, and other folk yearn for better, “simpler” times. Certain popular writers urgently prescribe returning to ancient, nobler ways.
Ancient, nobler ways. It is a lovely image... and pretty much a lie. John Perlin, in his book A Forest Journey, tells how each prior culture, from tribal to pastoral to urban, wreaked calamities upon its own people and environment. I have been to Easter Island and seen the desert its native peoples wrought there. The greater harm we do today is due to our vast power and numbers, not something intrinsically vile about modern humankind.
Technology produces more food and comfort and lets fewer babies die. “Returning to older ways” would restore some balance all right, but entail a holocaust of untold proportion, followed by resumption of a kind of grinding misery never experienced by those who now wistfully toss off medieval fantasies and neolithic romances. A way of life that was nasty, brutish, and nearly always catastrophic for women.
That is not to say the pastoral image doesn’t offer hope. By extolling nature and a lifestyle closer to the Earth, some writers may be helping to create the very sort of wisdom they imagine to have existed in the past. Someday, truly idyllic pastoral cultures may be deliberately designed with the goal of providing placid and just happiness for all, while retaining enough technology to keep existence decent.
But to get there the path lies forward, not by diving into a dark, dank, miserable past. There is but one path to the gracious, ecologically sound, serene pastoralism sought by so many. That route passes, ironically, through successful consummation of this, our first and last chance, our scientific age.”

David Brin book Glory Season

Afterword (p. 563)
Glory Season (1993)

Love, Life, Wisdom, Women

“If the statistics are right, the Jews constitute but one percent of the human race. It suggests a nebulous dim puff of star dust lost in the blaze of the Milky Way. Properly the Jew ought hardly to be heard of, but he is heard of, has always been heard of. He is as prominent on the planet as any other people, and his commercial importance is extravagantly out of proportion to the smallness of his bulk. His contributions to the world's list of great names in literature, science, art, music, finance, medicine, and abstruse learning are also away out of proportion to the weakness of his numbers. He has made a marvellous fight in the world, in all the ages; and has done it with his hands tied behind him. He could be vain of himself, and be excused for it. The Egyptian, the Babylonian, and the Persian rose, filled the planet with sound and splendor, then faded to dream-stuff and passed away; the Greek and the Roman followed, and made a vast noise, and they are gone; other peoples have sprung up and held their torch high for a time, but it burned out, and they sit in twilight now, or have vanished. The Jew saw them all, beat them all, and is now what he always was, exhibiting no decadence, no infirmities of age, no weakening of his parts, no slowing of his energies, no dulling of his alert and aggressive mind. All things are mortal but the Jew; all other forces pass, but he remains. What is the secret of his immortality?”

Mark Twain book Concerning the Jews

Concerning the Jews (Harper's Magazine, Sept. 1899)

People, Secret, Age, World

“As Jews presently enjoy a disproportionate share of the wholesale and retail trade, such a balanced distribution can be achieved only by refusing them further trading licenses, until such a time as the other main population groups, such as English- and Afrikaans-speakers, have gained a proportion which (as far as practicable) corresponds to their percentage of the white population. … Of course, the discrimination must disappear as soon as the correct balance (ewewigtige toestand) has been achieved.”

Hendrik Verwoerd (1901–1966) Prime Minister of South Africa from 1958 until his assassination in 1966

As editor of Die Transvaler on 1 October 1937, 10 quotes by Hendrik Verwoerd (Politics Web) https://www.sahistory.org.za/archive/hendrik-verwoerd-10-quotes-hendrik-verwoerd-politics-web-20-september-2016, sahistory.org.za (20 September 2016)

Time

“Preserving the sweetness of proportion and expressing itself beyond expression.”

Ben Jonson (1572–1637) English writer

The Masque of Hymen (1606)

“The better artists are original and obdurate; they're the gravel in the pea soup. ln Jackson Pollock's painting the particularity, the immediacy, is the dripped paint, which remains dripped paint as a phenomenon, for all the beauty of the small shapes it makes it makes. The generality is in the scale or proportion and in the large shapes. It’s in the appearance of chaos. The gesture or the motion shown in the application of the paint varies from painting to painting from the particular to a middling generality. The size and the color generally occur in the middle between particularity and generality. At the same time as Pollock and since, almost all first-rate art has been based on an immediate phenomenon, for example the work of Dan Flavin and Larry Bell.”

Donald Judd (1928–1994) artist

Donald Judd (1987) Complete writings, 1975-1986. p. 35 : Cited in: Marjanovic, Marianne Berger. "To build new ways of talking about the work": Hovedbegreper i Donald Judds kunstteori." (2005).
1980

Beauty, Art, Color, Appearance

“(when children can watch without embarrassment their mothers breast feed brothers and sister) They realize the wholesomeness of sex and its naturalness. They don't put sex in the wrong proportion.”

Grace Kelly (1929–1982) American actress and Princess consort of Monaco

The Milwaukee Sentinel Princess Puts Motherhood First Jul 17, 1971

Children, Sex, Nature, Sister

“The value of a book about dealing with children is inversely proportional to the number of times it contains the word behavior. When our primary focus is on discrete behaviors, we end up ignoring the whole child.”

Alfie Kohn (1957) American author and lecturer

"Unconditional Teaching," Educational Leadership

Children, Books, Behavior, Time

“Every man has a mob self and an individual self, in varying proportions.”

D.H. Lawrence (1885–1930) English novelist, poet, playwright, essayist, literary critic and painter

Pornography and Obscenity (1929)

“Let as many Numbers, as you please, be proposed to be Combined: Suppose Five, which we will call a b c d e. Put, in so many Lines, Numbers, in duple proportion, beginning with 1. The Sum (31) is the Number of Sumptions, or Elections; wherein, one or more of them, may several ways be taken. Hence subduct (5) the Number of the Numbers proposed; because each of them may once be taken singly. And the Remainder (26) shews how many ways they may be taken in Combination; (namely, Two or more at once.) And, consequently, how many Products may be had by the Multiplication of any two or more of them so taken. But the same Sum (31) without such Subduction, shews how many Aliquot Parts there are in the greatest of those Products, (that is, in the Number made by the continual Multiplication of all the Numbers proposed,) a b c d e. For every one of those Sumptions, are Aliquot Parts of a b c d e, except the last, (which is the whole,) and instead thereof, 1 is also an Aliquot Part; which makes the number of Aliquot Parts, the same with the Number of Sumptions. Only here is to be understood, (which the Rule should have intimated;) that, all the Numbers proposed, are to be Prime Numbers, and each distinct from the other. For if any of them be Compound Numbers, or any Two of them be the same, the Rule for Aliquot Parts will not hold.”

John Wallis (1616–1703) English mathematician

Source: A Discourse of Combinations, Alterations, and Aliquot Parts (1685), Ch.I Of the variety of Elections, or Choice, in taking or leaving One or more, out of a certain Number of things proposed.

Way, Parting

“Descend from the infinite to the infinitesimal. Long before... observation had begun to penetrate the veil under which Nature has hidden her mysteries, the restless mind sought some principle of power strong enough and of sufficient variety to collect and bind together all parts of a world. This seemed to be found, where one might least expect it, in abstract numbers. Everywhere the exactest numerical proportion was seen to constitute the spiritual element of the highest beauty.”

Benjamin Peirce (1809–1880) American mathematician

Ben Yamen's Song of Geometry (1853)

World, Beauty, Nature, Strong

“The natur o' things doesn't change, though it seems as if one's own life was nothing but change. The square o' four is sixteen, and you must lengthen your lever in proportion to your weight, is as true when a man's miserable as when he's happy; and the best o' working is, it gives you a grip hold o' things outside your own lot.”

George Eliot book Adam Bede

Adam Bede (1859)

Life, Happiness, Nature, Change

“With the enactment of the Income Tax Law of 1913, the Federal Government began to apply effectively the widely accepted principle that taxes should be levied in proportion to ability to pay and in proportion to the benefits received. Income was wisely chosen as the measure of benefits and of ability to pay. This was, and still is, a wholesome guide for national policy. It should be retained as the governing principle of Federal taxation. The use of other forms of taxes is often justifiable, particularly for temporary periods; but taxation according to income is the most effective instrument yet devised to obtain just contribution from those best able to bear it and to avoid placing onerous burdens upon the mass of our people.”

Franklin D. Roosevelt (1882–1945) 32nd President of the United States

1930s, Message to Congress on tax revision (1935)

People, Law

“Civilization both in the East and the West was visited by a destructive plague which devastated nations and caused populations to vanish. It swallowed up many of the good things of civilization and wiped them out. It overtook the dynasties at the time of their senility, when they had reached the limit of their duration. It lessened their power and curtailed their influence. It weakened their authority. Their situation approached the point of annihilation and dissolution. Civilization decreased with the decrease of mankind. Cities and buildings were laid waste, roads and way signs were obliterated, settlements and mansions became empty, dynasties and tribes grew weak. The entire inhabited world changed. The East, it seems, was similarly visited, though in accordance with and in proportion to [the East's more affluent] civilization. It was as if the voice of existence in the world had called out for oblivion and restriction, and the world responded to its call. God inherits the earth and whomever is upon it.”

Ibn Khaldun (1332–1406) Arab historiographer and historian

Michael W. Dols, The Black Death in the Middle East, Princeton University Press, 1977, p. 67.

God, World, Way, Change

“With most of us, even without special training, there is a certain instinctive sense of proportion, and thus we recognize the relative distance of objects by their relative size.”

Alfred Horsley Hinton (1863–1908) British photographer

Source: Practical Pictorial Photography, 1898, The use of the lens in pictorial work, p. 51

Sense, Training

“A Society of Citizens, as well as every Thing else, requires a certain fixed Order: There ought to be some to govern, and others to obey. And this is the Origin of every Kind of Subjection; which feels itself more or less alleviated, in Proportion to the Situation of the Subjects. And, consequently, as the Law of Nature commands Us to take as much Care, as lies in Our Power, of the Prosperity of all the People; we are obliged to alleviate the Situation of the Subjects, as much as sound Reason will permit. And therefore, to shun all Occasions of reducing People to a State of Slavery, except the utmost Necessity should inevitably oblige us to do it; in that Case, it ought not to be done for our own Benefit; but for the Interest of the State: Yet even that Case is extremely uncommon. Of whatever Kind Subjection may be, the civil Laws ought to guard, on the one Hand, against the Abuse of Slavery, and, on the other, against the Dangers which may arise from it.”

Catherine the Great (1729–1796) Empress of Russia

Proposals for a New Law Code (1768)

People, Law, Feeling, Nature

“The climax was reached when the same Marxist professors started explaining away Islamic iconoclasm in terms of what they described as Hindu destruction of Buddhist and Jain places of worship. They have never been able to cite more than half-a-dozen cases of doubtful veracity. A few passages in Sanskrit literature coupled with speculations about some archaeological sites have sufficed for floating the story, sold ad nauseam in the popular press, that Hindus destroyed Buddhist and Jain temples on a large scale. Half-a-dozen have become thousands and then hundreds of thousands in the frenzied imagination suffering from a deep-seated anti-Hindu animus…. And these “facts” have been presented with a large dose of suppressio veri suggestio falsi…. A very late Buddhist book from Sri Lanka accuses Pushyamitra Sunga, a second century B. C. king, of offering prizes to those who brought to him heads of Buddhist monks. This single reference has sufficed for presenting Pushyamitra as the harbinger of a “Brahmanical reaction” which “culminated in the age of the Guptas.” The fact that the famous Buddhist stupas and monasteries at Bharhut and Sanchi were built and thrived under the very nose of Pushyamitra is never mentioned. Nor is the fact that the Gupta kings and queens built and endowed many Buddhist monasteries at Bodh Gaya, Nalanda and Sarnath among many other places. (…) This placing of Hindu kings on par with Muslim invaders in the context of iconoclasm suffers from serious shortcomings. Firstly, it lacks all sense of proportion when it tries to explain away the destruction of hundreds of thousands of Brahmanical, Buddhist and Jain temples by Islamic invaders in terms of the doubtful destruction of a few Buddhist and Jain shrines by Hindu kings. Secondly, it has yet to produce evidence that Hindus ever had a theology of iconoclasm which made this practice a permanent part of Hinduism. Isolated acts by a few fanatics whom no Hindu historian or pandit has ever admired, cannot explain away a full-fledged theology which inspired Islamic iconoclasm….”

Pushyamitra Shunga King of Sunga Dynasty

S.R. Goel, Some Historical Questions (Indian Express, April 16, 1989), quoted in Shourie, A., & Goel, S. R. (1990). Hindu temples: What happened to them.

Books, Age, Imagination, Literature

“The public's continuing ambivalence about cultural matters is all the more striking given that the political conversation on these issues has for 30 years been dominated by an aggressive, radical right-wing insurgency that has achieved an influence far out of proportion to its numbers. Its potent secret weapon has been the guilt and anxiety about desire that inform the character of Americans regardless of ideology; appealing to those largely unconscious emotions, the right has disarmed, intimidated, paralyzed its opposition.”

Ellen Willis (1941–2006) writer, activist

"Escape from Freedom" http://journalism.nyu.edu/faculty/files/willis-tomfrank.pdf, Situations: Project of the Radical Imagination, Vol 1, No 2 (2006)

Secret

“E = mc2 really applies only to isolated bodies at rest. In general, when you have moving bodies, or interacting bodies, energy and mass aren't proportional. E = mc2 simply doesn't apply. …For moving bodies, the correct mass-energy equation is
E=\frac {mc^2} {\sqrt{1-\frac{v^2} {c^2}}}
where v is the velocity. For a body at rest (v=0), this becomes E = mc2. …we must consider the special case of particles with zero mass… examples include photons, color gluons, and gravitons. If we attempt to put m = 0 and v = c in our general mass-energy equation, both the numerator and denominator on the right-hand-side vanish, and we get the nonsensical relation E = 0/0. The correct result is that the energy of a photon can take any value. …The energy E of a photon is proportional to the frequency f of the light it represents. …they are related by the Planck-Einstein-Schrödinger equation E = hf, where h is Plank's constant.”

Frank Wilczek (1951) physicist

when the velocity <math>v</math> approaches the speed of light c, the denominator approaches 0 thus E approaches infinity, unless m = 0.
Source: The Lightness of Being – Mass, Ether and the Unification of Forces (2008), Ch. 3, p. 19 & Appendix A

Color, Light

“Now I have to define what I mean by "action". When a material body is transported from one point to another, it involves an action that depends on the speed of the body and on the distance it travels. However, the action is neither the speed nor the distance taken separately; rather, it is proportional to the sum of the distances travelled multiplied each by the speed at which they were travelled.”

Pierre Louis Maupertuis (1698–1759) French mathematician, philosopher and man of letters

Accord de différentes loix de la nature qui avoient jusqu’ici paru incompatibles (1744)

Travel, Dependency, Speed

“It is a scale of proportions which makes the bad difficult and the good easy.”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

Er ist eine Skala der Proportionen, die das Schlechte schwierig und das Gute leicht macht.
On the Modulor. Letter sent to Le Corbusier (1946); quoted in Modulor (1953)
1940s

“The reason why lime makes a solid structure on being combined with water and sand seems to be this: that rocks, like all other bodies, are composed of the four elements. Those which contain a larger proportion of air, are soft; of water, are tough from the moisture; of earth, hard; and of fire, more brittle. Therefore, if limestone, without being burned, is merely pounded up small and then mixed with sand and so put into the work, the mass does not solidify nor can it hold together. But if the stone is first thrown into the kiln, it loses its former property of solidity by exposure to the great heat of the fire, and so with its strength burnt out and exhausted it is left with its pores open and empty. Hence, the moisture and air in the body of the stone being burned out and set free, and only a residuum of heat being left lying in it, if the stone is then immersed in water, the moisture, before the water can feel the influence of the fire, makes its way into the open pores; then the stone begins to get hot, and finally, after it cools off, the heat is rejected from the body of the lime.”

Vitruvius book De architectura

Source: De architectura (The Ten Books On Architecture) (~ 15BC), Book II, Chapter V, Sec. 2

Way, Feeling, Lying, Water

“It is all work and forgotten work, this peopled, clothed, articulate-speaking, high-towered, wide-acred World. The hands of forgotten brave men have made it a World for us; they,— honour to them; they, in spite of the idle and the dastard. This English Land, here and now, is the summary of what was found of wise, and noble, and accordant with God's Truth, in all the generations of English Men. Our English Speech is speakable because there were Hero-Poets of our blood and lineage; speakable in proportion to the number of these. This Land of England has its conquerors, possessors, which change from epoch to epoch, from day to day; but its real conquerors, creators, and eternal proprietors are these following, and their representatives if you can find them: All the Heroic Souls that ever were in England, each in their degree; all the men that ever cut a thistle, drained a puddle out of England, contrived a wise scheme in England, did or said a true and valiant thing in England.”

Thomas Carlyle (1795–1881) Scottish philosopher, satirical writer, essayist, historian and teacher

1840s, Past and Present (1843)

Men, God, People, Truth

“In what respect… does the general theory of relativity differ…? The answer is: in its universality; the force of gravitation in the geometrical structure acts equally on all matter. There is here a close analogy between the gravitational mass M…(Sun) and the inertial mass m… (Earth) on the one hand, and the heat conduction k of the field (plate)… and the coefficient of expansion c… on the other. …The success of the general relativity theory… is attributable to the fact that the gravitational and inertial masses of any body are… rigorously proportional for all matter.”

Howard P. Robertson (1903–1961) American mathematician and physicist

Geometry as a Branch of Physics (1949)

Universe, Success, Sun

“[Proportional representation is a] device for defeating democracy, the principle of which was that the majority should rule, and for bringing faddists of all kinds into Parliament, and establishing groups and disintegrating parties.”

David Lloyd George (1863–1945) Former Prime Minister of the United Kingdom

Quoted by C. P. Scott in his diary (3 April 1917), in Trevor Wilson (ed.), The Political Diaries of C. P. Scott, 1911-1928 (London: Collins, 1970), p. 274
Prime Minister

Democracy

“A sense of humour is a sense of proportion.”

Khalil Gibran (1883–1931) Lebanese artist, poet, and writer

Sand and Foam (1926)

Sense

“To comprehend evolutionary Theory, one must first understand that it’s only ever a matter of changing proportions –altering or enhancing existing features to build on what is already there. Developmental biology, genetics, and comparative morphology combine to confirm many of these taxonomic stages such that organs do not seem to have appeared abruptly or fully-formed as if out of nowhere, because there is an implied evolutionary origin evident in every case. Even the transition of fish-to-tetrapods, dinosaurs-to-birds, or apes-to-men are each are just a matter of incremental, superficial changes being slowly compiled atop successive tiers of fundamental similarities. These represent monophyletic clades which will forever encompass all the descendants of that clade. This is why birds are still dinosaurs, and humans are still apes, and both are still stegocephalian chordates.”

Aron Ra (1962) Aron Ra is an atheist activist and the host of the Ra-Men Podcast

"11th Foundational Falsehood of Creationism" https://www.youtube.com/watch?v=Dm277H3ot6Y, Youtube (June 26, 2008) <br class="br">Youtube, Foundational Falsehoods of Creationism

Men, Understanding, Bird, Fish

“The importance of information is directly proportional to its improbability.”

Jerry Pournelle book Lucifer's Hammer

Lucifer's Hammer (1985)

“Chaotic theory is mathematically based on non-linear propositions, "meaning that they expressed relationships that were not strictly proportional. Linear relationships can be captured with a straight line on a graph"”

James Gleick book Chaos: Making a New Science

Source: Chaos: Making a New Science, 1987, p. 23 as cited in John A. Rush (1996), Clinical Anthropology: An Application of Anthropological Concepts, p. 75

Mathematics

“I decline the election. — It has ever been my rule through life, to observe a proportion between my efforts and my objects. I have never been remarkable for a bold, active, and sanguine pursuit of advantages that are personal to myself.”

Edmund Burke (1729–1797) Anglo-Irish statesman

Speech at Bristol on declining the poll (9 September 1780)
1780s

Life, Effort, Personality

“Individual liberty is individual power, and as the power of a community is a mass compounded of individual powers, the nation which enjoys the most freedom must necessarily be in proportion to its numbers the most powerful nation.”

John Quincy Adams (1767–1848) American politician, 6th president of the United States (in office from 1825 to 1829)

Letter to James Lloyd (1 October 1822)

Communication, Freedom

“The name philosopher, which meant originally 'lover of wisdom,' has come in some strange way to mean a man who thinks it is his business to explain everything in a certain number of large books. It will be found, I think, that in proportion to his colossal ignorance is the perfection and symmetry of the system which he sets up; because it is so much easier to put an empty room tidy than a full one.”

William Kingdon Clifford (1845–1879) English mathematician and philosopher

As quoted by A. D'Abro, The Evolution of Scientific Thought from Newton to Einstein https://archive.org/details/TheEvolutionOfScientificThought (1927)

Wisdom, Books, Way, Lovers

“Poetry teaches the enormous force of a few words, and, in proportion to the inspiration, checks loquacity.”

Ralph Waldo Emerson (1803–1882) American philosopher, essayist, and poet

Parnassus, Preface (1874)

“First and foremost, yoga made its contribution to my quest to understand consciously the mechanics of violin playing, a quest which by 1951 had long been one of the themes of my life. All influences pointed to less tension, more effective application of energy, the breaking down of resistance in every joint, the coordination of all motions into one motion; and illustrated the profound truth that strength comes not from strength but from the subtle comprehension of process, proportion and balance.”

Yehudi Menuhin (1916–1999) American violinist and conductor

Source: The Dawn of Indian Music in the West http://books.google.co.in/books?id=OSZKCXtx-wEC&pg=PA46, A&C Black, 24 April 2006, p. 46

Life, Truth, Understanding

“Usually it is easier to obtain estimates for budget proportions and Engel elasticities than for elasticities with respect to price. By making certain want independence assumptions, the elasticities with respect to price can be deduced from the knowledge of budget proportions and Engel elasticities. In this connection the concept of the flexibility of the marginal utility of money is essential. A system of formulae decribing these relations is given.”

Ragnar Frisch (1895–1973) Norwegian economist

Ragnar Frisch. " A complete scheme for computing all direct and cross demand elasticities in a model with many sectors http://econ.ucdenver.edu/beckman/Research/readings/frisch-demand-econometrica.pdf." Econometrica 27.2 (1959): 177-196. <br class="br">1940-60s

Money, Knowledge

“The Plus Factor makes its appearance in a person's life in proportion as that person is in harmony with God and His universal laws.”

Norman Vincent Peale (1898–1993) American writer

Power Of The Plus Factor (1987)

Life, God, Law, Universe

“Poetry Fetter'd. Fetters the Human Race. Nations are Destroy'd, or Flourish, in proportion as Their Poetry, Painting, and Music are Destroy'd or Flourish!”

William Blake (1757–1827) English Romantic poet and artist

To the Public, plate 3 (the last paragraph)
1800s, Jerusalem The Emanation of The Giant Albion (c. 1803–1820)

Music, Painting

“The SNP's commitment to a Bill of Rights and written constitution means that we will outlaw any discrimination but we also have to eradicate it from the dark recesses of the Scottish psyche. We also have to speak out against institutionalised discrimination. For example, it is a scandal of some considerable proportions that no Catholic can sit on the throne, or marry the heir to the throne -- an attitude entrenched in law that belongs to the archaic arrangements of the eighteenth century, not the bright prospects of the twenty-first.”

Alex Salmond (1954) Scottish National Party politician and former First Minister of Scotland

Speech http://www.heraldscotland.com/sport/spl/aberdeen/major-s-contradiction-on-constitutional-reform-questioned-by-snp-leader-salmond-calls-for-same-say-for-scotland-1.669219 in Northern Ireland (27 July 1995).

Law

“I have… begun to collect materials for a work… relating to every department of medical knowledge: …it will be comparatively more concise than these lectures, in proportion to what has been said and written respecting physic, but, I hope, much more complete, with regard to all that is known with certainty, and can be applied with utility.”

Thomas Young (scientist) (1773–1829) English polymath

Preface (March 30, 1807)
A Course of Lectures on Natural Philosophy and the Mechanical Arts (1807)

Hope, Knowledge

“The best way to address the firepower concern is therefore not to try to outlaw or license many millions of older and perfectly legitimate firearms (which would be a licensing effort of staggering proportions) but to prohibit the possession of high capacity magazines. By a simple, complete and unequivocal ban on large capacity magazines, all the difficulty of defining 'assault rifle' and 'semi-automatic rifles' is eliminated. The large capacity magazine itself, separate or attached to the firearm, becomes the prohibited item. A single amendment to Federal firearms laws could effectively implement these objectives.”

William B. Ruger (1916–2002) American inventor

March 30, 1989 letter sent to every member of the United States Congress ([An Open Letter, William B. Ruger, 18, American Handgunner, 5, 12, 1992]).

Law, Way, Effort

“The quantity of action is the product of the mass of the bodies times their speed and the distance they travel. When a body is transported from one place to another, the action is proportional to the mass of the body, to its speed and to the distance over which it is transported.”

Pierre Louis Maupertuis (1698–1759) French mathematician, philosopher and man of letters

Les Loix du Mouvement et du Repos, déduites d'un Principe Métaphysique (1746)

Travel, Time, Speed

“Have you ever looked at Kylie's teeth? Those teeth are proportional to the teeth of a camel in the mouth of a toddler.”

Jeremy Hardy (1961–2019) British comedian

QI, BBC Two, 6 November 2003

“It is only in the case of musical instruments that I find any commendable diligence in the [Irish] people. They seem to me to be incomparably more skilled in these than any other people that I have seen. The movement is not, as in the British instrument to which we are accustomed, slow and easy, but rather quick and lively, while at the same time the melody is sweet and pleasant. It is remarkable how, in spite of the great speed of the fingers, the musical proportion is maintained. The melody is kept perfect and full with unimpaired art through everything – through quivering measures and the involved use of several instruments – with a rapidity that charms, a rhythmic pattern that is varied and a concord achieved through elements discordant.”
In musicis solum instrumentis commendabilem invenio gentis istius diligentiam. In quibus, prae omni natione quam vidimus, incomparabiliter instructa est. Non enim in his, sicut in Britannicis quibus assueti sumus instrumentis, tarda et morosa est modulatio, verum velox et praeceps, suavis tamen et jocunda sonoritas. Mirum quod, in tanta tam praecipiti digitorum rapacitate, musica servatur proportio; et arte per omnia indemni inter crispatos modulos, organaque multipliciter intricata, tam suavi velocitate, tam dispari paritate, tam discordi concordia, consona redditur et completur melodia.

Gerald of Wales (1146) Medieval clergyman and historian

Topographia Hibernica (The Topography of Ireland) Part 3, chapter 11 (94); translation from Gerald of Wales (trans. John J. O'Meara) The History and Topography of Ireland ([1951] 1982) p. 103.

People, Art, Music, Time

“The American statesmen, by subjecting the Church to the same regulations governing all other associations and institutions, have limited its field of activity to reasonable proportions; and, as the State does not contribute from State Funds one single cent to the church, the whole clergy cringes and sings hymns in praise of Government. This is not to be wondered at! The parson, like everyone else, has got to live; what he makes out of the public offertory doesn't amount to much, and so he is more or less dependent on State charity. As he has no legal claim whatever on the State, he therefore takes very good care that his demeanour is always pleasing in the eyes of the State and therefore deserving of the crumbs it cares to toss to him.”

Adolf Hitler (1889–1945) Führer and Reich Chancellor of Germany, Leader of the Nazi Party

4 July 1942.
Disputed, (1941-1944) (published 1953)

Singing, Dependency

“Organizations endure, however, in proportion to the breadth of the morality by which they are governed. Thus the endurance of organization depends upon the quality of leadership; and that quality derives from the breadth of the morality upon which it rests.”

Chester Barnard book The Functions of the Executive

Source: The Functions of the Executive (1938), p. 282

Dependency

“The degree of genius necessary to please us is pretty nearly the same proportion that we ourselves have.”

Claude Adrien Helvétius (1715–1771) French philosopher

Essay II, Chapter X, note.
De l'esprit or, Essays on the Mind, and Its Several Faculties (1758)

“The corruption of freedom is in proportion to the moral deterioration of the people. For a people who have lost their sense of self-respect have no need for freedom. And the income tax, by transferring the property of earners to the State, has disintegrated the moral fiber of Americans to such a degree that they do not even recognize the fact.”

Frank Chodorov (1887–1966) American libertarian thinker

Source: The Income Tax: Root of All Evil (1954), p. 52

People, Sense, Freedom

“…as individuals and as nations we live in states of society utterly different from each other. As a collection of individuals, we live under the highest and latest development of civilization, in which the individual is rigidly forbidden to defend himself, because society is always ready and able to defend him. As a collection of nations we live in an age of the merest Faustrecht, in which each one obtains his rights precisely in proportion to his ability, or that of his allies, to fight for them…In practice it is found that International Law is always on the side of strong battalions…It is puerile…to apply to the dealings of a nation with its neighbour's territory the morality which would be applicable to two individuals possessing adjoining property, and protected from mutual wrong by a law superior to both.”

Robert Gascoyne-Cecil, 3rd Marquess of Salisbury (1830–1903) British politician

Quarterly Review, 151, 1881, pp. 542-544
1880s

Age, Law, Strong, Fight

“At any rate we may be sure that the political instinct of our bourgeois opponents, as soon as their class interests come into play, will lead them to take a position hostile to us. A classical example is furnished by Belgium, where, as already remarked, a compromise was concluded under the most favorable circumstances conceivable, between the socialists and the liberals. Our party was in undisputed possession of the leadership and was therefore in no danger of being cheated out of the fruits of the common victory. The end sought was universal, equal and direct suffrage. But the clerical party knows its boys, knows its Pappenheimers. It knows that the bourgeoisie has no class interest in giving the laborers, who, in modern industrial states, constitute a majority of the population, the universal suffrage and thereby the prospect of winning a majority and getting political supremacy. It made a counter demand for proportional representation with plural voting, that is, giving more votes to the rich, and thereby granting to the radical bourgeoisie a share in the government, if it would assist in defeating universal and direct suffrage. And behold, without a minute’s hesitation the gentlemen of the radical bourgeoisie broke their agreement with the socialists and joined the clericals in their fight against universal suffrage and the social democracy. Whoever is not convinced by this example that the emancipation struggle of the proletariat is a class struggle is one on whom further arguments would be wasted.”

Wilhelm Liebknecht (1826–1900) German socialist politician

No Compromise – No Political Trading (1899)

Hostility, Democracy, Boy, Universe

“Archytas of Tarentum found the two mean proportionals by a very striking construction in three dimensions, which shows that solid geometry, in the hands of Archytas at least, was already well advanced. The construction was usually called mechanical, which it no doubt was in form, though in reality it was in the highest degree theoretical. It consisted in determining a point in space as the intersection of three surfaces: (a) a cylinder, (b) a cone, (c) an "anchor-ring" with internal radius = 0.”

Thomas Little Heath (1861–1940) British civil servant and academic

Achimedes (1920)

Reality

“Why must a novel-writer be either a “realist” or a “romantist”? And, if the latter, why “romanticist” any more than “realisticist”? Why should a good novel not combine romance and reality in just proportions? Is there any reason to suppose that the one element must necessarily shut out the other?”

Francis Marion Crawford (1854–1909) Novelist, short story writer, essayist (1854-1909)

The Novel: What It Is (1893)

Reality

“It is said that our paper is as good as silver, because we may have silver for it at the bank where it issues. This is not true. One, two, or three persons might have it; but a general application would soon exhaust their vaults, and leave a ruinous proportion of their paper in its intrinsic worthless form.”

Thomas Jefferson (1743–1826) 3rd President of the United States of America

ME 13:426
1810s, Letters to John Wayles Eppes (1813)

Personality

“Yet the Opposition refused to extend the franchise unless they were assured that there would be some manipulation or re-arrangement of seats, which, would, in fact, be taking away with one hand what was given with the other. He regretted that proportional representation should have been introduced into the debate from that side of the House, for all these schemes were but new disguises for the old Tory distrust of the people.”

John Morley, 1st Viscount Morley of Blackburn (1838–1923) British Liberal statesman, writer and newspaper editor

Speech http://hansard.millbanksystems.com/commons/1884/apr/03/second-reading-adjourned-debate-fifth in the House of Commons (3 April 1884).

People, Housing

“IN THE last half century a larger and larger proportion of our experience, of what we read and see and hear, has come to consist of pseudo‑events. We expect more of them and we are given more of them. They flood our consciousness. Their multiplication has gone on in the United States at a faster rate than elsewhere. Even the rate of increase is increasing every day. This is true of the world of education, of consumption, and of personal relations.”

Daniel J. Boorstin (1914–2004) American historian

Source: The Image: A Guide to Pseudo-Events in America (1961), p. 12.

World, Education, Reading, Personality

“Like the disposition of planes, the proportion of these planes and their colors seemed to depend only upon chance, and I declared that these works were ordered 'according to the law of chance', just like in the order of nature.”

Hans Arp (1886–1966) Alsatian, sculptor, painter, poet and abstract artist

Source: 1960s, Jours effeuillés: Poèmes, essaies, souvenirs (1966), p. 307

Law, Color, Nature, Chance

“The maiden---pure and without stain--lay sleeping on the small couch that occupied one corner of the closet. Her fair limbs were enshrouded in the light folds of a night-robe, and she lay in an attitude of perfect repose, one glowing cheek resting upon her uncovered arm, while over the other, waved the loosened curls of her glossy hair. The parting lips disclosed her teeth, white as ivory, while her youthful bosom came heaving up from the folds of her night-robe, like a billow that trembles for a moment in the moonlight, and then is suddenly lost to view. She lay there in all the ripening beauty of maidenhood, the light falling gently over her young limbs, their outlines marked by the easy folds of her robe, resembling in their roundness and richness of proportion, the swelling fulness of the rose-bud that needs but another beam of light, to open it into its perfect bloom.”

George Lippard (1822–1854) Novelist, journalist

The Quaker City; or, the Monks of Monk Hall, part 1, chapter 9 "The Bride" (1844)

Youth, Beauty, Sleep, Light

“There has been a comparatively greater proportion of good queens, than of good kings.”

Sarah Grimké (1792–1873) American abolitionist

Letter 9 (August 25, 1837).
Letters on the Equality of the Sexes and the Condition of Woman (1837)

“The spirit acquires an increase of knowledge and experience in each of his corporeal existences. He loses sight of part of these gains during his reincarnation in matter, which is too gross to allow of his remembering them in their entirety; but he remembers them as a spirit. It is thus that some somnambulists give evidence of possessing knowledge beyond their present degree of instruction, and even of their apparent intellectual capacity. The intellectual and scientific inferiority of a somnambulist in his waking state, therefore, proves nothing against his possession of the knowledge he may display in his lucid state. According to the circumstances of the moment and the aim proposed, he may draw this knowledge from the stores of his own experience, from his clairvoyant perception of things actually occurring, or from the counsels which he receives from other spirits; but, in proportion as his own spirit is more or less advanced, he will make his statements more or less correctly.”

Allan Kardec (1804–1869) systematizer of Spiritism

Source: The Spirits' Book, p. 221.

Knowledge, Parting, Drawing

“The more abstract is form, the more clear and direct is its appeal. In any composition the material side may be more or less omitted in proportion as the forms used are more or less material, and for them substituted pure abstractions, or largely dematerialized objects. The more an artist uses these abstracted forms, the deeper and more confidently will he advance into the kingdom of the abstract. And after him will follow the gazer at his pictures, who also will have gradually acquired a greater familiarity with the language of that kingdom.
Must we then abandon utterly all material objects and paint solely in abstractions? The problem of harmonizing the appeal of the material and the non-material shows us the answer to this question. As every word spoken rouses an inner vibration, so likewise does every object represented. To deprive oneself of this possibility is to limit one's powers of expression. That is at any rate the case at present. But besides this answer to the question, there is another, and one which art can always employ to any question beginning with "must": There is no "must" in art, because art is free.”

Wassily Kandinsky (1866–1944) Russian painter

VI. The language of Form and Colour
1910 - 1915, Concerning the Spiritual in Art, 1911

Art, Confidence, Question, Problem

“Greatness of individuality is inversely proportional to the mass of the social aggregate.”

Boris Sidis The Source and Aim of Human Progress

The Source and Aim of Human Progress (1919)

“The fact is that the choice between Socialism-from-Above and Socialism-from-Below is, for the intellectual, basically a moral choice, whereas for the working masses who have no social alternative it is a matter of necessity. The intellectual may have the option of "joining the Establishment" where the worker does not; the same option holds also for labor leaders, who, as they rise out of their class, likewise confront a choice that did not exist before. The pressure of conformity to the mores of the ruling class, the pressure for bourgeoisification, is stronger in proportion as personal and organizational ties with the ranks below become weak. It is not hard for an intellectual or bureaucratized official to convince himself that permeation of and adaptation to the existing power is the smart way to do it, when (as it happens) it also permits sharing in the perquisites of influence and affluence.”

Hal Draper (1914–1990) American activist

Hal Draper, " The Two Souls of Socialism https://www.marxists.org/archive/draper/1966/twosouls/index.htm," New Politics 5, no. 1 (Winter 1966), 57-84.

Way, Personality

“The reality of the situation is obscured when population is expressed as a percentage proportion taken over the whole of the United Kingdom. The ethnic minority is geographically concentrated, so that areas in which it forms a majority already exists, and these areas are destined inevitably to grow. It is here that the compatibility of such an ethnic minority with the functioning of parliamentary democracy comes into question. Parliamentary democracy depends at all levels upon the valid acceptance of majority decision, by which the nation as a whole is content to be bound because of the continually available prospect that what one majority has decided another majority can subsequently alter. From this point of view, the political homogeneity of the electorate is crucial. What we do not, as yet, know is whether the voting behaviour of our altered population will be able to use the majority vote as a political instrument and not as a means of self-identification, self-assertion and self-enumeration. It may be that the United Kingdom will escape the political consequences of communalism; but communalism and democracy, as the experience of India demonstrates, are incompatible. That is the spectre which the Conservative party's policy of assisted repatriation in the 1960s aimed to banish; but time and events have swept over and passed the already outdated remedies of the 1960s. We are entering unknown territory where the only certainty for the future is the relative increase of the ethnic minority due to the age structure of that population which has been established.”

Enoch Powell (1912–1998) British politician

Article on the 25th anniversary of his 'Rivers of Blood speech', The Times (20 April 1993), p. 18
1990s

Age, Democracy, Communication, Question

“If civilization is to be bound up with material advancement, we must accept its inevitable consequence, loss of freedom in enact proportion to the forward march.”

C. Rajagopalachari (1878–1972) Political leader

Chakravarti Rajagopalachari (1960) The voice of the uninvolved: speeches and statements on atomic warfare and test explosions. p. 167

Freedom, Loss

“I knew Robert Burns, and I knew my father. Yet were you to ask me which had the greater natural faculty, I might perhaps actually pause before replying. Burns had an infinitely wider education, my father a far wholesomer. Besides, the one was a man of musical utterance; the other wholly a man of action, with speech subservient thereto. Never, of all the men I have seen, has one come personally in my way in whom the endowment from nature and the arena from fortune were so utterly out of all proportion. I have said this often, and partly know it. As a man of speculation — had culture ever unfolded him — he must have gone wild and desperate as Burns; hut he was a man of conduct, and work keeps all right. What strange shapable creatures we are!”

Thomas Carlyle (1795–1881) Scottish philosopher, satirical writer, essayist, historian and teacher

1880s, Reminiscences (1881)

Men, Education, Music, Way

“Our delight in any particular study, art, or science rises and improves in proportion to the application which we bestow upon it. Thus, what was at first an exercise becomes at length an entertainment.”

Joseph Addison (1672–1719) politician, writer and playwright

No. 447 (2 August 1712).
The Spectator (1711–1714)

Art, Exercises, Study, Science

“The opinions that the price of commodities depends solely on the proportion of supply and demand, or demand to supply, has become almost an axiom in political economy, and has been the source of much error in that science.”

David Ricardo (1772–1823) British political economist, broker and politician

Source: The Principles of Political Economy and Taxation (1821) (Third Edition), Chapter XXX, Influence of Demand and Supply, p. 260

Error, Science, Dependency

“Francis Bacon once said there is no beauty that hath not some strangeness to its proportion. Cameron Diaz proves that- she's got a mouth like a slice of watermelon. But the Flying Scotsman proves it to be wrong. There is no strangeness at all. He is exquisite to behold, partly because he is so nicely balanced and partly because he seems to shout "I AM VERY POWERFUL.'”

Jeremy Clarkson (1960) English broadcaster, journalist and writer

I Know You Got Soul (2004)

Beauty, Flying

“Not a step can we take in any direction without perceiving the most extraordinary traces of design; and the skill everywhere conspicuous is calculated in so vast a proportion of instances to promote the happiness of living creatures, and especially of ourselves, that we feel no hesitation in concluding that, if we knew the whole scheme of Providence, every part would appear to be in harmony with a plan of absolute benevolence.”

Henry Brougham, 1st Baron Brougham and Vaux (1778–1868) English barrister, politician, and Lord Chancellor of Great Britain

Reported in Josiah Hotchkiss Gilbert, Dictionary of Burning Words of Brilliant Writers (1895), p. 261.

Happiness, Feeling, Appearance, Parting

“The purpose of art is expression. Of course this short sentence raises many questions. By itself it is uninformative. One should specify what art can and cannot express. One should specify what art should and should not express. These questions cannot be answered without having some notion of the nature of man. Here it is presupposed that God created man as essentially a rational being. This implies that man’s most valuable expressions are rational and intellectual. Therefore, although man can express emotion, by screaming “Ouch,” art becomes more human and valuable in proportion to its intellectual content. This does not deny that excellent technique may express triviality, evil, and insanity. It asserts, however, that what should be expressed is rational and intelligent.”

Gordon H. Clark (1902–1985) American philosopher and Calvinist theologian

“Christian Aesthetics,” The Trinity Review, May 1989.

God, Art, Intelligence, Question

“Therefore, it is you, the giver of life and being, who seem to be sought in the different rites by different ways and are named with different names, because as you are you remain unknown and ineffable to all. For you who are infinite power are none of those things which you have created, nor can a creature grasp the concept of your infinity since there is no proportion between the finite and the infinite. But you, almighty God, who are invisible to every mind, are able to show yourself as visible to whom you will and in the way in which you can be grasped. Therefore, do not hide yourself any longer, O Lord; be merciful and show your face, and all peoples will be saved who are no longer able to forsake the source of life and its sweetness when they have had even a little foretaste of them. For no one withdraws from you unless he does not know you.”

Nicholas of Cusa (1401–1464) German philosopher, theologian, jurist, and astronomer

De Pace Fidei (The Peace of Faith) (1453)

Life, God, People, Way

“There is true religion in that man who, instead of endeavoring to perfect but one department of his nature, makes his physical, mental, social, and moral life, equal. Cultivate your physical nature, perfect your life, and in that proportion your soul will be perfect. Cultivate strength, vigor, power, manliness, and symmetry, and in that proportion the soul can think greater thoughts.”

Cora L. V. Scott (1840–1923) American spiritualist, writer

“The Religion of Life” (1858)

Life, Religion, Soul, Nature

“But just in proportion as this process of extermination has acted on an enormous scale, so must the number of intermediate varieties, which have formerly existed on the earth, be truly enormous. Why then is not every geological formation and every stratum full of such intermediate links? Geology assuredly does not reveal any such finely graduated organic chain; and this, perhaps, is the most obvious and gravest objection which can be urged against my theory. The explanation lies, as I believe, in the extreme imperfection of the geological record.”

Charles Darwin book On the Origin of Species (1859)

Source: On the Origin of Species (1859), chapter IX: "On the Imperfection of the Geological Record", page 280 http://darwin-online.org.uk/content/frameset?pageseq=298&itemID=F373&viewtype=image

Quotes about proportion page 3

Quotes about proportion
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