Quotes about ratio
page 2

“The American farmer, whose holdings were not so extensive as those of the grandee nor so tiny as those of the peasant, whose psychology was Protestant and bourgeois, and whose politics were petty-capitalist rather than traditionalist, had no reason to share the social outlook of the rural classes of Europe. In Europe land was limited and dear, while labor was abundant and relatively cheap; in America the ratio between land and labor was inverted.”

Richard Hofstadter (1916–1970) American historian

Source: The Age of Reform: from Bryan to F.D.R. (1955), Chapter I, part II, p. 44

“I verily believe that a man’s way with women is in inverse ratio to his prowess among men. The weakling and the saphead have often great ability to charm the fair sex, while the fighting man who can face a thousand real dangers unafraid, sits hiding in the shadows like some frightened child.”

Edgar Rice Burroughs book A Princess of Mars

Source: A Princess of Mars (1917), Chapter 16

Women, Men, Sex, Way

“In many different fields, empirical phenomena appear to obey a certain general law, which can be called the Law of Large Numbers. This law states that the ratios of numbers derived from the observation of a very large number of similar events remain practically constant, provided that these events are governed partly by constant factors and partly by variable factors whose variations are irregular and do not cause a systematic change in a definite direction.”

Siméon Denis Poisson (1781–1840) French mathematician, mechanician and physicist

Statement of Poisson's law also known as the Law of Large Numbers (1837), as quoted by [Richard Von Mises, Probability, Statistics and Truth, Allen and Unwin, 1957, 104-105]

Law, Appearance, Change

“... our confidence in foretelling and influencing events increases in inverse ratio to our ability to do so. The farther we go from ourselves and from the present, the less we sense the probabilities, and it is easy for us to be "dead certain" about things we cannot possibly know anything about.**The Rules of Chaos (1969), p 23,24”

Stephen Vizinczey (1933) Hungarian-Canadian writer

Confidence, Sense, Dead

“A theory of cultural change is impossible without knowledge of the changing sense ratios effected by various externalizations of our senses.”

Marshall McLuhan (1911–1980) Canadian educator, philosopher, and scholar-- a professor of English literature, a literary critic, and a …

Source: 1960s, The Gutenberg Galaxy (1962), p. 49

Knowledge, Sense, Change

“The American ash from which bats are made has an unusually high strength-to-weight ratio. Ash was celebrated in medieval times as the only proper wood from which to construct the lances of knights errant; an ash lance was light enough to carry and wield and strong enough to impale the opposition.”

Robert Adair (physicist) (1924) Physicist and author

Source: The Physics Of Baseball (Second Edition - Revised), Chapter 6, Properties Of Bats, p. 134

Light, Strong, Time

“There is generally, therefore, an inverse ratio between the worship of goddesses and the granting of rights to human women. Nor are the goddesses by and large compassionate; they are generally a pretty bloodthirsty lot. Goddesses are not the solution.”

Wendy Doniger (1940) American Indologist

Wendy Doniger, Quoted in The Washington Post. Quoted in Antonio de Nicolas, Krishnan Ramaswamy, and Aditi Banerjee (eds.) (2007), Invading the Sacred: An Analysis Of Hinduism Studies In America (Publisher: Rupa & Co., p. 13), also in Rajiv Malhotra: Wendy's Child Syndrome https://rajivmalhotra.com/library/articles/risa-lila-1-wendys-child-syndrome/, also in Rajiv Malhotra: Academic Hinduphobia: A Critique of Wendy Doniger's Erotic School of Indology (2016)

Women

“The life of man is made up of action and endurance; and life is fruitful in the ratio in which it is laid out in noble action or in patient perseverance.”

Henry Liddon (1829–1890) British theologian

Source: Dictionary of Burning Words of Brilliant Writers (1895), P. 3.

Life, Perseverance

““You know, old books are a big problem for us. Old knowledge in general. We call it OK. Old knowledge, OK. Did you know that ninety-five percent of the internet was only created in the last five years? But we know that when it comes to all human knowledge, the ratio is just the opposite—in fact, OK accounts for most things that most people know, and have ever known.”…
“So where is it, right? Where’s the OK? Well, it’s in old books, for one thing…—and it’s also in people’s heads, a lot of traditional knowledge, that’s what we call TK. OK and TK.” He’s drawing little overlapping blobs, labeling them with acronyms. “Imagine if we could make all that OK/TK available all the time, to everyone. On the web, on your phone. No question would go unanswered ever again.””

Robin Sloan (1979) American writer

Source: Mr. Penumbra's 24-Hour Bookstore (2012), Chapter 11 “The Spider” (p. 86; ellipses represent minor elisions of description)

People, Books, Imagination, Question

“Not only the Greeks in general — Aristotle no less than Plato — but the great medieval thinkers as well, all held that there was an element of purely receptive "looking," not only in self-perception but also in intellectual knowing or, as Heraclitus said, "Listening-in to the being of things."
The medievals distinguished between the intellect as ratio and the intellect as intellectus. Ratio is the power of discursive thought, of searching and re-searching, abstracting, refining, and concluding [cf. Latin dis-currere, "to run to and fro"], whereas intellectus refers to the ability of "simply looking" (simplex intuitus), to which the truth presents itself as a landscape presents itself to the eye.”

Josef Pieper (1904–1997) German philosopher

Source: Leisure, the Basis of Culture (1948), Leisure, the Basis of Culture, p. 11

Truth, Search

“In 1000 Muslim numbers in India were microscopic. In 1200 they were perhaps about three to four hundred thousand. By 1400 their number had risen probably to 3.2 million and they formed about 1.85 percent of the total population. In 1600 they were probably 15 million. And from the 1:9 to 1:10 Muslim-Hindu ratio in 1600 the proportion of Muslims to Hindus had gone up to about 1:7 by the year 1800…Thus at about the middle of the ninteenth century, the Muslim-Hindu ratio stood approximately at 1:6…. By the end of the nineteenth century, the ratio had changed to 1:5, and Stanely Lanepoole, whose Medieval India was first published in 1903, rightly observes: “The population of India in the present day is over three hundred millions, and every sixth man is a Muslim.””

K. S. Lal book Indian Muslims: Who Are They

Indian Muslims: Who Are They (1990)

Change

“A great surgeon performs operations for stone by a single method; later he makes a statistical summary of deaths and recoveries, and he concludes from these statistics that the mortality law for this operation is two out of five. Well, I say that this ratio means literally nothing scientifically and gives us no certainty in performing the next operation; for we do not know whether the next case will be among the recoveries or the deaths. What really should be done, instead of gathering facts empirically, is to study them more accurately, each in its special determinism…. to discover in them the cause of mortal accidents so as to master the cause and avoid the accidents.”

Claude Bernard (1813–1878) French physiologist

Introduction à l'Étude de la Médecine Expérimentale (1865)

Death, Law, Study

“\frac {dy}{dx} = \frac {\omega^2x}{g}…The first derivative, the result of the differentiation of y with respect to x, was written by Leibniz in the form
\frac {dy}{dx}…Leibniz's notation …is both extremely useful and dangerous. Today, as the concepts of limit and derivative are sufficiently clarified, the use of the notation… need not be dangerous. Yet, the situation was different in the 150 years between the discovery of calculus by Newton and Leibniz and the time of Cauchy. The derivative \frac {dy}{dx} was considered as the ratio of two "infinitely small quanitites", of the infinitesimals dy and dx. …it greatly facilitated the systematization of the rules of the calculus and gave intuitive meaning to its formulas. Yet this consideration was also obscure… it brought mathematics into disrepute… some of the best minds… such as… Berkeley, complained that calculus is incomprehensible. …\frac {dy}{dx} is the limit of a ratio of dy to dx… Once we have realized this sufficiently clearly, we may, under certain circumstances, treat \frac {dy}{dx} so as if it were a ratio… and multiply by dx to achieve the separation of variables. We get
{dy} = \frac {\omega^2x}{g}xdx”

George Pólya (1887–1985) Hungarian mathematician

Mathematical Methods in Science (1977)

Mathematics, Time

“The moon is not kept in her orbit round the earth, nor the earth in her orbit round the sun, by a force that varies merely in the inverse ratio of the squares of the distances.”

Thomas Robert Malthus (1766–1834) British political economist

Source: An Essay on The Principle of Population (First Edition 1798, unrevised), Chapter XIII, paragraph 2, lines 19-22

Sun

“Religion exalts mystery as an unknowable secret that must be sealed in glass like the corpse of an enchanted princess and fearfully worshipped from afar. Initiation, on the other hand, requires direct participation and demands each of us to smash the casket and press mad lips to mystery, wooing her as a lover who will offer up her treasurers in a succession of sweet surrenders. This she will do, but only in exact ratio to our evolving ability and worthiness to receive them.”

Lon Milo DuQuette (1948) American occult writer

Source: Angels, Demons, & Gods of the New Millennium (1997), Chapter 5

Secret, Religion, Lovers, Success

“Every relationship between two individuals or two groups will be characterized by the ratio of secrecy that is involved in it. Even when one of the parties does not notice the secret factor, yet the attitude of the concealer, and consequently the whole relationship, will be modified by it.”

Georg Simmel (1858–1918) German sociologist, philosopher, and critic

Source: The Sociology of Secrecy and of Secret Societies (1906), p. 462

Secret

“We show that it is natural to introduce the concept of black-hole entropy as the measure of information about a black-hole interior which is inaccessible to an exterior observer. Considerations of simplicity and consistency, and dimensional arguments indicate that the black-hole entropy is equal to the ratio of the black-hole area to the square of the Planck length times a dimensionless constant of order unity. A different approach making use of the specific properties of Kerr black holes and of concepts from information theory leads to the same conclusion, and suggests a definite value for the constant.”

Jacob Bekenstein (1947–2015) Mexican-Israeli physicist

[Black Holes and Entropy, Phys. Rev. D, 7, 8, 2333–2346, 15 April 1973, 10.1103/PhysRevD.7.2333]

Nature, Time

“Though Wallis was advanced for his times and accepted negative numbers, he thought they were larger than infinity but not less than zero. In his Arithmetica Infinitorum (1655), he argued that since the ratio a/0, when a is positive, is infinite, then, when the denominator is changed to a negative number, as in a/b with b negative, the ratio must be greater than infinity.”

Morris Kline (1908–1992) American mathematician

Source: Mathematical Thought from Ancient to Modern Times (1972), p. 253.

Change, Time

“A silly society is a youth-obsessed society: To the Chinese, who appreciate the value of experience, the greater the ratio in a team of grey ‘hairs and no-hairs’ to ‘black hairs’—the faster and better a task will be completed. The opposite assumption obtains in the youth-obsessed U. S.”

Ilana Mercer South African writer

"Hollywood: The No-Good, The Bad And The Beastly" http://www.quarterly-review.org/?p=2432 Quarterly Review, March 16, 2014. <br class="br">2010s, 2014

Youth

“Typography is not only a technology but is in itself a natural resource or staple, like cotton or timber or radio; and, like any staple, it shapes not only private sense ratios but also patterns of communal interdependence.”

Marshall McLuhan book The Gutenberg Galaxy

Source: The Gutenberg Galaxy (1962), p. 186

Communication, Nature, Sense

“Even trifles are most important when they concern the rulers, as was the case of old at Syracuse; for the Syracusan constitution was once changed by a love-quarrel of two young men, who were in the government. The story is that while one of them was away from home his beloved was gained over by his companion, and he to revenge himself seduced the other's wife. They then drew the members of the ruling class into their quarrel and so split all the people into portions. We learn from this story that we should be on our guard against the beginnings of such evils, and should put an end to the quarrels of chiefs and mighty men. The mistake lies in the beginning — as the proverb says — 'Well begun is half done'; so an error at the beginning, though quite small, bears the same ratio to the errors in the other parts.”

Aristotle book Politics

Book V, 1303b.19-30
Politics

Love, Men, People, Error

“Out of 1,000 men who are called, one (probably the ratio is much smaller) is chosen to do glorious scientific work.”

Carl Barus (1856–1935) U.S. physicist

Prof. Barus' Retirement dinner speech, Brown University (1926) as quoted by in One of the 999 about to be Forgotten: Memoirs of Carl Barus, 1865-1935 (2005) ed., Axel W.-O. Scmidt.
Context: [L]et me refer to my original work. Naturally, if a student has been hammering away ever since 1979... he must have accumulated a lot of litter, much of which, perhaps, should have long since been swept away. But the fates are not to be bribed either by pother or importunity. Out of 1,000 men who are called, one (probably the ratio is much smaller) is chosen to do glorious scientific work. The others? Their lot is failure. They may be equally or even more industrious, they may have equal or even greater brain power—the other 999 exist merely to make the illustrious one in whom they culminate, possible. After that, the world will say to each in words of poetic brevity: "The man has done his duty, the man can go." And they do, pretty quickly, to a gentler lethe, flowing between the banks of amaranth and asphodel.
Gentlemen, I am one of the 999 about to be forgotten.

Men

“The ratio between supervisory and producing personnel is always highest where the intellectuals are in power.”

Eric Hoffer (1898–1983) American philosopher

The Temper of Our Time (1967)
Context: The ratio between supervisory and producing personnel is always highest where the intellectuals are in power. In a Communist country it takes half the population to supervise the other half.

“He looks with impartial eye upon the endless variety of systems, maintained with equal confidence and self-sufficiency, by men of equal ability and honesty. He is weary of wandering over the world, and of finding every petty race wedded to its own opinions; claiming the monopoly of Truth; holding all others to be in error, and raising disputes whose violence, acerbity and virulence are in inverse ratio to the importance of the disputed matter.”

Richard Francis Burton (1821–1890) British explorer, geographer, translator, writer, soldier, orientalist, cartographer, ethnologist, spy, lin…

The Kasîdah of Hâjî Abdû El-Yezdî (1870), Note I : Hâjî Abdû, The Man
Context: He looks with impartial eye upon the endless variety of systems, maintained with equal confidence and self-sufficiency, by men of equal ability and honesty. He is weary of wandering over the world, and of finding every petty race wedded to its own opinions; claiming the monopoly of Truth; holding all others to be in error, and raising disputes whose violence, acerbity and virulence are in inverse ratio to the importance of the disputed matter. A peculiarly active and acute observation taught him that many of these jarring families, especially those of the same blood, are par in the intellectual processes of perception and reflection; that in the business of the visible working world they are confessedly by no means superior to one another; whereas in abstruse matters of mere Faith, not admitting direct and sensual evidence, one in a hundred will claim to be right, and immodestly charge the other ninety-nine with being wrong.
Thus he seeks to discover a system which will prove them all right, and all wrong; which will reconcile their differences; will unite past creeds; will account for the present, and will anticipate the future with a continuous and uninterrupted development; this, too, by a process, not negative and distinctive, but, on the contrary, intensely positive and constructive. I am not called upon to sit in the seat of judgment; but I may say that it would be singular if the attempt succeeded. Such a system would be all-comprehensive, because not limited by space, time, or race; its principle would be extensive as Matter itself, and, consequently, eternal. Meanwhile he satisfies himself, — the main point.

Men, Truth, World, Error

“It is interesting to contemplate an entangled bank, clothed with many plants of many kinds, with birds singing on the bushes, with various insects flitting about, and with worms crawling through the damp earth, and to reflect that these elaborately constructed forms, so different from each other, and dependent on each other in so complex a manner, have all been produced by laws acting around us. These laws, taken in the largest sense, being Growth with Reproduction; Inheritance which is almost implied by reproduction; Variability from the indirect and direct action of the external conditions of life, and from use and disuse; a Ratio of Increase so high as to lead to a Struggle for Life, and as a consequence to Natural Selection, entailing Divergence of Character and the Extinction of less-improved forms. Thus, from the war of nature, from famine and death, the most exalted object which we are capable of conceiving, namely, the production of the higher animals, directly follows. There is grandeur in this view of life, with its several powers, having been originally breathed into a few forms or into one; and that, whilst this planet has gone cycling on according to the fixed law of gravity, from so simple a beginning endless forms most beautiful and most wonderful have been, and are being, evolved.”

Charles Darwin book On the Origin of Species (1859)

Last paragraph of the first edition (1859). Only use of the term "evolve" or "evolution" in the first edition. <br class="br">In the second http://darwin-online.org.uk/content/frameset?pageseq=508&itemID=F376&viewtype=image (1860) through sixth (1872) editions, Darwin added the phrase "by the Creator" to read:<br>There is grandeur in this view of life, with its several powers, having been originally breathed by the Creator into a few forms or into one; and that, whilst this planet has gone cycling on according to the fixed law of gravity, from so simple a beginning endless forms most beautiful and most wonderful have been, and are being, evolved. <br class="br">Source: On the Origin of Species (1859), chapter XIV: "Recapitulation and Conclusion", page 489-90 http://darwin-online.org.uk/content/frameset?pageseq=508&itemID=F373&viewtype=image

Life, Death, War, Law

“For reasons of security, our submarine operations throughout the Pacific can be discussed only in very general terms. No branch of the naval service, however, has acquitted itself more creditably. Submarine commanding officers are skillful, daring and resourceful. Their crews are well trained and efficient. Their morale is high, and in direct ratio to the success of submarine operations. Materially our submarines are in excellent shape, and we have kept up to the minute in all features of design and scientific development and research. The versatility of our submarines has been so repeatedly demonstrated throughout the war that the Japanese know only too well that in no part of the Pacific Ocean are they safe from submarine attack. When the full story can be told, it will constitute one of the most stirring chapters in the annals of naval warfare.”

Ernest King (1878–1956) United States Navy admiral, Chief of Naval Operations

Source: U.S. Navy at War, 1941-1945: Official Reports to the Secretary of the Navy (1946), p. 77

War, Success, Parting, Training

“I have no choice. I am not in the position to, alone, go into the ghetto and fight. I chose Charleston because it is most historic city in my state, and at one time had the highest ratio of blacks to Whites in the country. We have no skinheads, no real KKK, no one doing anything but talking on the internet. Well someone has to have the bravery to take it to the real world, and I guess that has to be me.”

Dylann Roof (1994) American mass murderer

archived 20 June 2015 https://web.archive.org/web/20150620135047/http://lastrhodesian.com/data/documents/rtf88.txt on website registered 9 February 2015, published 21 June 2015 https://www.nytimes.com/2015/06/21/us/dylann-storm-roof-photos-website-charleston-church-shooting.html in NYT, original date of authorship unknown

World, Time, Fight, Country

“Paucos enim ratio capit, raros probabilis oblectat intentio: ad illud potius turba ducitur, quod ad remissionem curarum constat inventum. nam quicquid aestimat voluptuosum, hoe et ad beatitudinem temporum iudicat applicandum. quapropter largiamur expensas, non semper ex iudicio demus. expedit interdum desipere, ut populi possimus desiderata gaudia continere.”

Cassiodorus Variae

Variae

“One of the most important axioms is, that as the quantity of any commodity, for instance, plain food, which a man has to consume, increases, so the utility or benefit derived from the last portion used decreases in degree. The decrease in enjoyment between the beginning and the end of a meal may be taken as an example. And I assume that on an average, the ratio of utility is some continuous mathematical function of the quantity of commodity. This law of utility has, in fact, always been assumed by political economists under the more complex form and name of the Law of Supply and Demand. But once fairly stated in its simple form, it opens up the whole of the subject.”

William Stanley Jevons (1835–1882) English economist and logician

Letter to his brother (1 June 1860), published in Letters and Journal of W. Stanley Jevons (1886), edited by Harriet A. Jevons, his wife, p. 151. https://archive.org/details/cu31924074297254/page/n168/mode/1up

Law, Food, Mathematics

Quotes about ratio page 2

Quotes about ratio
page 2