Quotes about quantity

A collection of quotes on the topic of quantity, use, time, timing.

Quotes about quantity

Mwanandeke Kindembo photo
Mwanandeke Kindembo photo
Frédéric Chopin photo

“Simplicity is the final achievement. After one has played a vast quantity of notes and more notes, it is simplicity that emerges as the crowning reward of art.”

Frédéric Chopin (1810–1849) Polish composer

As quoted in If Not God, Then What?
Source: If Not God, Then What? (2007) by Joshua Fost, p. 93

Rudolf Clausius photo
Fritjof Capra photo
Frederick II of Prussia photo
Joseph Louis Lagrange photo
George Boole photo

“It appeared to me that, although Logic might be viewed with reference to the idea of quantity, it had also another and a deeper system of relations. If it was lawful to regard it from without, as connecting itself through the medium of Number with the intuitions of Space and Time, it was lawful also to regard it from within, as based upon facts of another order which have their abode in the constitution of the Mind.”

George Boole (1815–1864) English mathematician, philosopher and logician

Source: 1840s, The Mathematical Analysis of Logic, 1847, p. i: Lead paragraph of the Preface; cited in: R. H. Hutton, " Professor Boole http://books.google.com/books?id=pfMEAAAAQAAJ&pg=PA157," (1866), p. 157
Context: In presenting this Work to public notice, I deem it not irrelevant to observe, that speculations similar to those which it records have, at different periods, occupied my thoughts. In the spring of the present year my attention was directed to the question then moved between Sir W. Hamilton and Professor De Morgan; and I was induced by the interest which it inspired, to resume the almost-forgotten thread of former inquiries. It appeared to me that, although Logic might be viewed with reference to the idea of quantity, it had also another and a deeper system of relations. If it was lawful to regard it from without, as connecting itself through the medium of Number with the intuitions of Space and Time, it was lawful also to regard it from within, as based upon facts of another order which have their abode in the constitution of the Mind. The results of this view, and of the inquiries which it suggested, are embodied in the following Treatise.

Isaac Newton photo
Joseph Stalin photo

“Quantity has a quality all its own.”

Joseph Stalin (1879–1953) General secretary of the Communist Party of the Soviet Union

No evidence that this phrasing is due to Stalin, and it does not appear in English translations of his philosphical works. Earliest English is found in 1979 in US defense industry, presumably defense consultant Thomas A. Callaghan Jr. The connection of sufficient quantitative change leading to qualitative change is found in Marxist philosophy, by Marx and Engels, drawing from Hegelian philosophy and Ancient Greek philosophy. Marx and Engels are quoted by Stalin, but this formulation appears to be a modern American form; see quantity for details.
Stalin may have said that way before World War II, there is evidence in his Russian-language books, for example here http://www.modernlib.ru/books/stalin_iosif_vissarionovich/tom_14/read_16/.
Misattributed
Variant: Quantity is quality.
Source: Re: "Quantity has a quality all its own" source? http://h-net.msu.edu/cgi-bin/logbrowse.pl?trx=vx&list=h-russia&month=1004&week=a&msg=ljEwsM4dMrpmUGVfI7EGqg, Tim Davenport, h-russia https://networks.h-net.org/h-russia, April 5, 2010

P.G. Wodehouse photo
Mark Twain photo
Rainer Maria Rilke photo
Jodi Picoult photo
William Shakespeare photo
Josiah Willard Gibbs photo
Amy Lee photo

“To me, it's always about quality not quantity.”

Amy Lee (1981) American singer-songwriter and pianist

Lee explaining why she's not releasing her music "too often" in the show small talk

Leonardo Da Vinci photo
Luigi Cornaro photo
Galileo Galilei photo

“It now remains that we find the amount of time of descent through the channel. This we shall obtain from the marvelous property of the pendulum, which is that it makes all its vibrations, large or small, in equal times. This requires, once and for all, that two or three or four patient and curious friends, having noted a fixed star that stands against some fixed marker, taking a pendulum of any length, shall go counting its vibrations during the whole time of return of the fixed star to its original point, and this will be the number of vibrations in 24 hours. From the number of these we can find the number of vibrations of any other pendulums, longer or shorter, at will, so that if for example those counted by us in 24 hours were 234,567, then taking another shorter pendulum with which one counts 800 vibrations while another counts 150 of the longer pendulum, we already have, by the golden rule, the number of vibrations for the whole time of 24 hours; and if we want to know the time of descent through the channel, we can easily find not only the minutes, seconds, and sixtieths of seconds, but beyond that as we please. It is true that we can pass a more exact measure by having observed the flow of water through a thin passage, for by collecting this and having weighed what passes in one minute, for example, then by weighing what passes in the time of descent through the channel we can find the most exact measure and quantity of this time, especially by making use of a balance so precise as to weigh one sixtieth of a grain.”

Galileo Galilei (1564–1642) Italian mathematician, physicist, philosopher and astronomer

Letter to Giovanni Battista Baliani (1639)

“We have taller buildings but shorter tempers; wider freeways but narrower viewpoints; we spend more but have less; we buy more but enjoy it less; we have bigger houses and smaller families; more conveniences, yet less time; we have more degrees but less sense; more knowledge but less judgment; more experts, yet more problems; we have more gadgets but less satisfaction; more medicine, yet less wellness; we take more vitamins but see fewer results. We drink too much; smoke too much; spend too recklessly; laugh too little; drive too fast; get too angry; stay up too late; get up too tired; read too seldom; watch TV too much and pray too seldom.
We have multiplied our possessions, but reduced our values; we fly in faster planes to arrive there quicker, to do less and return sooner; we sign more contracts only to realize fewer profits; we talk too much; love too seldom and lie too often. We've learned how to make a living, but not a life; we've added years to life, not life to years. We've been all the way to the moon and back, but have trouble crossing the street to meet the new neighbor. We've conquered outer space, but not inner space; we've done larger things, but not better things; we've cleaned up the air, but polluted the soul; we've split the atom, but not our prejudice; we write more, but learn less; plan more, but accomplish less; we make faster planes, but longer lines; we learned to rush, but not to wait; we have more weapons, but less peace; higher incomes, but lower morals; more parties, but less fun; more food, but less appeasement; more acquaintances, but fewer friends; more effort, but less success. We build more computers to hold more information, to produce more copies than ever, but have less communication; drive smaller cars that have bigger problems; build larger factories that produce less. We've become long on quantity, but short on quality.
These are the times of fast foods and slow digestion; tall men, but short character; steep in profits, but shallow relationships. These are the times of world peace, but domestic warfare; more leisure and less fun; higher postage, but slower mail; more kinds of food, but less nutrition. These are the days of two incomes, but more divorces; these quick trips, disposable diapers, cartridge living, throw-away morality, one-night stands, overweight bodies and pills that do everything from cheer, to prevent, quiet or kill. It is a time when there is much in the show window and nothing in the stock room.”

"The Paradox of Our Age"; these statements were used in World Wide Web hoaxes which attributed them to various authors including George Carlin, a teen who had witnessed the Columbine High School massacre, the Dalai Lama and Anonymous; they are quoted in "The Paradox of Our Time" at Snopes.com http://www.snopes.com/politics/soapbox/paradox.asp
Words Aptly Spoken (1995)

Italo Calvino photo

“And in that moment we all thought of the space that her round arms would occupy moving backward and forward with the rolling pin over the dough, her bosom leaning over the great mound of flour and eggs, […] and we thought of the space the flour would occupy, and the wheat for the flour, and the fields to raise the wheat, and the mountains from which the water would flow to irrigate the fields; […] of the space it would take for the Sun to arrive with its rays, to ripen the wheat; of the space for the Sun to condense from the clouds of stellar gases and burn; of the quantities of stars and galaxies and galactic masses in flight through space which would be needed to hold suspended every galaxy, every nebula, every sun, every planet, and at the same time we thought of it, this space was inevitably being formed, at the same time that Mrs. Ph(i)Nk0 was uttering those words: "… ah, what noodles, boys!" the point that contained her and all of us was expanding in a halo of distance in light-years and light-centuries and billions of light-millennia, and we were being hurled to the four corners of the universe, […] and she, dissolved into I don't know what kind of energy-light-heat, she, Mrs. Ph(i)Nk0, she who in the midst of our closed, petty world had been capable of a generous impulse, "Boys, the noodles I would make for you!," a true outburst of general love, initiating at the same moment the concept of space and, properly speaking, space itself, and time, and universal gravitation, and the gravitating universe, making possible billions and billions of suns, and of planets, and fields of wheat, and Mrs. Ph(i)Nk0s, scattered through the continents of the planets, kneading with floury, oil-shiny, generous arms, and she lost at that very moment, and we, mourning her loss.”

Pages 46-47, "All at One Point".
Cosmicomics (1965)

Leonardo Da Vinci photo

“Every quantity is intellectually conceivable as infinitely divisible.”

Leonardo Da Vinci (1452–1519) Italian Renaissance polymath

The Notebooks of Leonardo da Vinci (1883), XIX Philosophical Maxims. Morals. Polemics and Speculations.

Georg Cantor photo
Antoine Lavoisier photo
Margaret Cavendish photo

“If Atomes are as small, as small can bee,
They must in quantity of Matter all agree.”

'The weight of Atomes', in The Atomic Poems of Margaret (Lucas) Cavendish, Duchess of Newcastle, from her Poems, and Fancies, 1653, an electronic edition. Edited with an introduction by Leigh Tillman Partington. http://womenwriters.digitalscholarship.emory.edu/toc.php?id=atomic

Eugene Paul Wigner photo
Kurt Vonnegut photo
Paul Dirac photo

“My research work was based in pictures. I needed to visualise things and projective geometry was often most useful e. g. in figuring out how a particular quantity transforms under Lorentz transf[ormation]. When I came to publish the results I suppressed the projective geometry as the results could be expressed more concisely in analytic form.”

Paul Dirac (1902–1984) theoretical physicist

"Recollections of an Exciting Era," three lectures given at Varenna, 5 August 1972, quoted in Peter Galison, "The Suppressed Drawing: Paul Dirac's Hidden Geometry", Representations, No. 72 (Autumn, 2000)

Bernhard Riemann photo
Georg Simmel photo
Rudolf Clausius photo
Arthur Travers Harris photo
Charles Spurgeon photo

“There are a few of us who could scarcely do more than we are doing of our own regular order of work, but there may yet be spare moments for little extra efforts of another sort which in the aggregate, in the run of a year, might produce a great total of real practical result. We must, like goldsmiths, carefully sweep our shops, and gather up the filings of the gold which God has given us in the shape of time. Select a large box and place in it as many cannon-balls as it will hold, it is after a fashion full, but it will hold more if smaller matters be found. Bring a quantity of marbles, very many of these may be packed in the spaces between the larger globes; the box is full now, but only full in a sense, it will contain more yet. There are interstices in abundance into which you may shake a considerable quantity of small shot, and now the chest is filled beyond all question, but yet there is room. You cannot put in another shot or marble, much less another cannon-ball, but you will find that several pounds of sand will slide down between the larger materials, and even then between the granules of sand, if you empty pondering there will be space for all the water, and for the same quantity several times repeated. When there is no space for the great there may be room for the little; where the little cannot enter the less can make its way; and where the less is shut out, the least of all may find ample room and verge enough.”

Charles Spurgeon (1834–1892) British preacher, author, pastor and evangelist

"A Spur for a Free Horse" in The Sword and the Trowel (February, 1866) http://www.spurgeon.org/s_and_t/spur.htm

H.P. Lovecraft photo

“I am essentially a recluse who will have very little to do with people wherever he may be. I think that most people only make me nervous—that only by accident, and in extremely small quantities, would I ever be likely to come across people who wouldn't. It makes no difference how well they mean or how cordial they are—they simply get on my nerves unless they chance to represent a peculiarly similar combination of tastes, experiences, and heritages; as, for instance, Belknap chances to do... Therefore it may be taken as axiomatic that the people of a place matter absolutely nothing to me except as components of the general landscape and scenery. Let me have normal American faces in the streets to give the aspect of home and a white man's country, and I ask no more of featherless bipeds. My life lies not among people but among scenes—my local affections are not personal, but topographical and architectural. No one in Providence—family aside—has any especial bond of interest with me, but for that matter no one in Cambridge or anywhere else has, either. The question is that of which roofs and chimneys and doorways and trees and street vistas I love the best; which hills and woods, which roads and meadows, which farmhouses and views of distant white steeples in green valleys. I am always an outsider—to all scenes and all people—but outsiders have their sentimental preferences in visual environment. I will be dogmatic only to the extent of saying that it is New England I must have—in some form or other. Providence is part of me—I am Providence—but as I review the new impressions which have impinged upon me since birth, I think the greatest single emotion—and the most permanent one as concerns consequences to my inner life and imagination—I have ever experienced was my first sight of Marblehead in the golden glamour of late afternoon under the snow on December 17, 1922. That thrill has lasted as nothing else has—a visible climax and symbol of the lifelong mysterious tie which binds my soul to ancient things and ancient places.”

H.P. Lovecraft (1890–1937) American author

Letter to Lillian D. Clark (29 March 1926), quoted in Lord of a Visible World: An Autobiography in Letters edited by S. T. Joshi, p. 186
Non-Fiction, Letters

Paul Dirac photo
Leonardo Da Vinci photo
Karl Marx photo
Theodor W. Adorno photo

“Bourgeois society is ruled by equivalence. It makes the dissimilar comparable by reducing it to abstract quantities. To the enlightenment, that which does not reduce to numbers, and ultimately to the one, becomes illusion.”

Theodor W. Adorno (1903–1969) German sociologist, philosopher and musicologist known for his critical theory of society

John Cumming trans., p. 7
Dialektik der Aufklärung [Dialectic of Enlightenment] (1944)

Ludwig von Mises photo

“Inflation is an increase in the quantity of money without a corresponding increase in the demand for money, i. e., for cash holdings.”

Ludwig von Mises (1881–1973) austrian economist

The Free Market and Its Enemies, speech to the Foundation for Economic Education https://fee.org/library/books/the-free-market-and-its-enemies/ (1951)

Stephen Hawking photo
Napoleon I of France photo
H.P. Lovecraft photo

“No one thinks or feels or appreciates or lives a mental-emotional-imaginative life at all, except in terms of the artificial reference-points supply'd him by the enveloping body of race-tradition and heritage into which he is born. We form an emotionally realisable picture of the external world, and an emotionally endurable set of illusions as to values and directions in existence, solely and exclusively through the arbitrary concepts and folkways bequeathed to us through our traditional culture-stream. Without this stream around us we are absolutely adrift in a meaningless and irrelevant chaos which has not the least capacity to give us any satisfaction apart from the trifling animal ones... Without our nationality—that is, our culture-grouping—we are merely wretched nuclei of agony and bewilderment in the midst of alien and directionless emptiness... We have an Aryan heritage, a Western-European heritage, a Teutonic-Celtic heritage, an Anglo-Saxon or English heritage, an Anglo-American heritage, and so on—but we can't detach one layer from another without serious loss—loss of a sense of significance and orientation in the world. America without England is absolutely meaningless to a civilised man of any generation yet grown to maturity. The breaking of the saving tie is leaving these colonies free to build up a repulsive new culture of money, speed, quantity, novelty, and industrial slavery, but that future culture is not ours, and has no meaning for us... Possibly the youngest generation already born and mentally active—boys of ten to fifteen—will tend to belong to it, as indeed a widespread shift in their tastes and instincts and loyalties would seem to indicate. But to say all this has anything to do with us is a joke! These boys are the Bedes and Almins of a new, encroaching, and apparently inferior culture. We are the Boëthii and Symmachi and Cassiodori of an older and perhaps dying culture. It is to our interest to keep our own culture alive as long as we can—and if possible to reserve and defend certain areas against the onslaughts of the enemy.”

H.P. Lovecraft (1890–1937) American author

Letter to James F. Morton (6 November 1930), in Selected Letters III, 1929-1931 edited by August Derleth and Donald Wandrei, p. 207
Non-Fiction, Letters, to James Ferdinand Morton, Jr.

Epictetus photo
Carl Friedrich Gauss photo

“The principle that the sum of the squares of the differences between the observed and computed quantities must be a minimum may, in the following manner, be considered independently of the calculus of probabilities.”

Carl Friedrich Gauss (1777–1855) German mathematician and physical scientist

Theoria motus corporum coelestium in sectionibus conicis solem ambientum (1809) Tr. Charles Henry Davis as Theory of the Motion of the Heavenly Bodies moving about the Sun in Conic Sections http://books.google.com/books?id=cspWAAAAMAAJ& (1857)
Context: The principle that the sum of the squares of the differences between the observed and computed quantities must be a minimum may, in the following manner, be considered independently of the calculus of probabilities. When the number of unknown quantities is equal to the number of the observed quantities depending on them, the former may be so determined as exactly to satisfy the latter. But when the number of the former is less than that of the latter, an absolutely exact agreement cannot be obtained, unless the observations possess absolute accuracy. In this case care must be taken to establish the best possible agreement, or to diminish as far as practicable the differences. This idea, however, from its nature, involves something vague. For, although a system of values for the unknown quantities which makes all the differences respectively less than another system, is without doubt to be preferred to the latter, still the choice between two systems, one of which presents a better agreement in some observations, the other in others, is left in a measure to our judgment, and innumerable different principles can be proposed by which the former condition is satisfied. Denoting the differences between observation and calculation by A, A’, A’’, etc., the first condition will be satisfied not only if AA + A’ A’ + A’’ A’’ + etc., is a minimum (which is our principle) but also if A4 + A’4 + A’’4 + etc., or A6 + A’6 + A’’6 + etc., or in general, if the sum of any of the powers with an even exponent becomes a minimum. But of all these principles ours is the most simple; by the others we should be led into the most complicated calculations.

Kurt Vonnegut photo

“It can make quite a difference not just to you but to humanity: the sort of boss you choose, whose dreams you help come true.
Hitler dreamed of killing Jews, Gypsies, Slavs, homosexuals, Communists, Jehovah's Witnesses, mental defectives, believers in democracy, and so on, in industrial quantities.”

Kurt Vonnegut (1922–2007) American writer

Speech at MIT (1985), referring to his brother Bernard Vonnegut, and the choices available to scientists and the intelligent, to serve humanity, or to betray it, as published in Fates Worse Than Death (1991), Ch. 12
Various interviews
Context: My brother got his doctorate in 1938, I think. If he had gone to work in Germany after that, he would have been helping to make Hitler's dreams come true. If he had gone to work in Italy, he would have been helping to make Mussolini's dreams come true. If he had gone to work in Japan, he would have been helping to make Tojo's dreams come true. If he had gone to work in the Soviet Union, he would have been helping to make Stalin's dreams come true. He went to work for a bottle manufacturer in Butler, Pennsylvania, instead. It can make quite a difference not just to you but to humanity: the sort of boss you choose, whose dreams you help come true.
Hitler dreamed of killing Jews, Gypsies, Slavs, homosexuals, Communists, Jehovah's Witnesses, mental defectives, believers in democracy, and so on, in industrial quantities. It would have remained only a dream if it hadn't been for chemists as well educated as my brother, who supplied Hitler's executioners with the cyanide gas known as Zyklon B. It would have remained only a dream if architects and engineers as capable as my father and grandfather hadn't designed extermination camps — the fences, the towers, the barracks, the railroad sidings, and the gas chambers and crematoria — for maximum ease of operation and efficiency.

William Stanley Jevons photo

“All acts of mathematical reasoning may… be considered but as applications of a corresponding axiom of quantity”

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

The Substitution of Similars, The True Principles of Reasoning (1869)
Context: Aristotle's dictim... may then be formulated somewhat as follows:—Whatever is known of a term may be stated of its equal or equivalent. Or, in other words, Whatever is true of a thing is true of its like.... the value of the formula must be judged by its results;... it not only brings into harmony all the branches of logical doctrine, but... unites them in close analogy to the corresponding parts of mathematical method. All acts of mathematical reasoning may... be considered but as applications of a corresponding axiom of quantity...

William Stanley Jevons photo

“Q, which would include quantity of space or time or force, in fact almost any kind of quantity.”

Preface To The Second Edition, p. 6.
The Theory of Political Economy (1871)
Context: A correspondent, Captain Charles Christie R. E., to whom I have shown these sections after they were printed, objects reasonably enough that commodity should not have been represented by M, or Mass, but by some symbol, for instance Q, which would include quantity of space or time or force, in fact almost any kind of quantity.

Isaac Newton photo

“Whereas in Arithmetick Questions are only resolv'd by proceeding from given Quantities to the Quantities sought, Algebra proceeds in a retrograde Order, from the Quantities sought as if they were given, to the Quantities given as if they were sought, to the End that we may some Way or other come to a Conclusion or Æquation, from which one may bring out the Quantity sought.”

Arithmetica Universalis (1707)
Context: Whereas in Arithmetick Questions are only resolv'd by proceeding from given Quantities to the Quantities sought, Algebra proceeds in a retrograde Order, from the Quantities sought as if they were given, to the Quantities given as if they were sought, to the End that we may some Way or other come to a Conclusion or Æquation, from which one may bring out the Quantity sought. And after this Way the most difficult problems are resolv'd, the Resolutions whereof would be sought in vain from only common Arithmetick. Yet Arithmetick in all its Operations is so subservient to Algebra, as that they seem both but to make one perfect Science of Computing; and therefore I will explain them both together.<!--pp.1-2

Steven Weinberg photo
Nikola Tesla photo

“For every person who perishes from the effects of a stimulant, at least a thousand die from the consequences of drinking impure water. This precious fluid, which daily infuses new life into us, is likewise the chief vehicle through which disease and death enter our bodies. The germs of destruction it conveys are enemies all the more terrible as they perform their fatal work unperceived. They seal our doom while we live and enjoy. The majority of people are so ignorant or careless in drinking water, and the consequences of this are so disastrous, that a philanthropist can scarcely use his efforts better than by endeavoring to enlighten those who are thus injuring themselves. By systematic purification and sterilization of the drinking water the human mass would be very considerably increased. It should be made a rigid rule which might be enforced by law to boil or to sterilize otherwise the drinking water in every household and public place. The mere filtering does not afford sufficient security against infection. All ice for internal uses should be artificially prepared from water thoroughly sterilized. The importance of eliminating germs of disease from the city water is generally recognized, but little is being done to improve the existing conditions, as no satisfactory method of sterilizing great quantities of water has yet been brought forward. By improved electrical appliances we are now enabled to produce ozone cheaply and in large amounts, and this ideal disinfectant seems to offer a happy solution of the important question.”

Nikola Tesla (1856–1943) Serbian American inventor

The Problem of Increasing Human Energy (1900)

Wendell Berry photo
Karl Marx photo

“The development of fixed capital indicates in still another respect the degree of development of wealth generally, or of capital…
The creation of a large quantity of disposable time apart from necessary labour time for society generally and each of its members (i.e. room for the development of the individuals’ full productive forces, hence those of society also), this creation of not-labour time appears in the stage of capital, as of all earlier ones, as not-labour time, free time, for a few. What capital adds is that it increases the surplus labour time of the mass by all the means of art and science, because its wealth consists directly in the appropriation of surplus labour time; since value directly its purpose, not use value. It is thus, despite itself, instrumental in creating the means of social disposable time, in order to reduce labour time for the whole society to a diminishing minimum, and thus to free everyone’s time for their own development. But its tendency always, on the one side, to create disposable time, on the other, to convert it into surplus labour...
The mass of workers must themselves appropriate their own surplus labour. Once they have done so – and disposable time thereby ceases to have an antithetical existence – then, on one side, necessary labour time will be measured by the needs of the social individual, and, on the other, the development of the power of social production will grow so rapidly that, even though production is now calculated for the wealth of all, disposable time will grow for all. For real wealth is the developed productive power of all individuals. The measure of wealth is then not any longer, in any way, labour time, but rather disposable time. Labour time as the measure of value posits wealth itself as founded on poverty, and disposable time as existing in and because of the antithesis to surplus labour time; or, the positing of an individual’s entire time as labour time, and his degradation therefore to mere worker, subsumption under labour. The most developed machinery thus forces the worker to work longer than the savage does, or than he himself did with the simplest, crudest tools.”

Grundrisse (1857-1858)
Source: Notebook VII, The Chapter on Capital, pp. 628–629.

Tom Waits photo
Gore Vidal photo
Carl R. Rogers photo
Derek Landy photo
Zadie Smith photo
Victor Hugo photo
Milan Kundera photo

“Knowledge is like money: To be of value it must circulate, and in circulating it can increase in quantity and, hopefully, in value.”

Louis L'Amour (1908–1988) Novelist, short story writer

Source: Education of a Wandering Man

Andrew Solomon photo
Jean Rhys photo
Aldous Huxley photo
Julian Barnes photo

“Consumerism is the worship of the god of quantity; advertising is its liturgy. Advertising is schooling in false longing.”

John O'Donohue (1956–2008) Irish writer, priest and philosopher

Source: Eternal Echoes: Celtic Reflections on Our Yearning to Belong

Edward R. Tufte photo
Hugo Diemer photo
Nathanael Greene photo

“Rather, for all objects and experiences there is a quantity that has an optimum value. Above that quantity, the variable becomes toxic. To fall below that value is to be deprived.”

Gregory Bateson (1904–1980) English anthropologist, social scientist, linguist, visual anthropologist, semiotician and cyberneticist

Source: Mind and Nature: A Necessary Unity, 1979, p. 56

Milton Friedman photo

“The use of quantity of money as a target has not been a success. I'm not sure that I would as of today push it as hard as I once did.”

Milton Friedman (1912–2006) American economist, statistician, and writer

Financial Times [UK] (7 June 2003)

Isaac Barrow photo
Robert Musil photo
Hermann von Helmholtz photo

“The quantity of force which can be brought into action in the whole of Nature is unchangeable, and can neither be increased nor diminished.”

Hermann von Helmholtz (1821–1894) physicist and physiologist

Summarizing the Law of Conservation of Force, in "On the Conservation of Force" (1862), p. 280
Popular Lectures on Scientific Subjects (1881)

Adam Smith photo
Waheeda Rehman photo
Nicolas Léonard Sadi Carnot photo
William Ewart Gladstone photo
Thomas Robert Malthus photo

“The transfer of three shillings and sixpence a day to every labourer would not increase the quantity of meat in the country. There is not at present enough for all to have a decent share. What would then be the consequence?”

Thomas Robert Malthus (1766–1834) British political economist

Source: An Essay on The Principle of Population (First Edition 1798, unrevised), Chapter V, paragraph 3, lines 5-8

Richard Mead photo
Niels Henrik Abel photo

“Lety5 - ay4 + by3 - cy2 + dy - e = 0be the general equation of the fifth degree and suppose that it can be solved algebraically,—i. e., that y can be expressed as a function of the quantities a, b, c, d, and e, composed of radicals. In this case, it is clear that y can be written in the formy = p + p1R1/m + p2R2/m +…+ pm-1R(m-1)/m,m being a prime number, and R, p, p1, p2, etc. being functions of the same form as y. We can continue in this way until we reach rational functions of a, b, c, d, and e. [Note: main body of proof is excluded]
…we can find y expressed as a rational function of Z, a, b, c, d, and e. Now such a function can always be reduced to the formy = P + R1/5 + P2R2/5 + P3R3/5 + P4R4/5, where P, R, P2, P3, and P4 are functions or the form p + p1S1/2, where p, p1 and S are rational functions of a, b, c, d, and e. From this value of y we obtainR1/5 = 1/5(y1 + α4y2 + α3y3 + α2y4 + α y5) = (p + p1S1/2)1/5,whereα4 + α3 + α2 + α + 1 = 0.Now the first member has 120 different values, while the second member has only 10; hence y can not have the form that we have found: but we have proved that y must necessarily have this form, if the proposed equation can be solved: hence we conclude that
It is impossible to solve the general equation of the fifth degree in terms of radicals.
It follows immediately from this theorem, that it is also impossible to solve the general equations of degrees higher than the fifth, in terms of radicals.”

Niels Henrik Abel (1802–1829) Norwegian mathematician

A Memoir on Algebraic Equations, Proving the Impossibility of a Solution of the General Equation of the Fifth Degree (1824) Tr. W. H. Langdon, as quote in A Source Book in Mathematics (1929) ed. David Eugene Smith

Max Horkheimer photo

“Bourgeois society is ruled by equivalence. It makes the dissimilar comparable by reducing it to abstract quantities. To the enlightenment, that which does not reduce to numbers, and ultimately to the one, becomes illusion.”

Max Horkheimer (1895–1973) German philosopher and sociologist

John Cumming trans., p. 7.
Dialektik der Aufklärung [Dialectic of Enlightenment] (1944)

Arthur Kekewich photo

“Public policy does not admit of definition and is not easily explained. It is a variable quantity; it must vary and does vary with the habits, capacities, and opportunities of the public.”

Arthur Kekewich (1832–1907) British judge

Davies v. Davies (1887), L. R. 36 C. D. 364; see also Egerton v. Earl Brownlow, 4 H. L. C. 1.

Leonard Wibberley photo
Michał Kalecki photo
Frederick Douglass photo

“It was once said by Abraham Lincoln that this Republic could not long endure half slave and half free; and the same may be said with even more truth of the black citizens of this country. They cannot remain half slave and half free. They must be one thing or the other. And this brings me to consider the alternative now presented between slavery and freedom in this country. From my outlook, I am free to affirm that I see nothing for the negro of the South but a condition of absolute freedom, or of absolute slavery. I see no half-way place for him. One or the other of these conditions is to solve the so-called negro problem. There are forces at work in both of these directions, and for the present that which aims at the re-enslavement of the negro seems to have the advantage. Let it be remembered that the labor of the negro is his only capital. Take this from him, and he dies from starvation. The present mode of obtaining his labor in the South gives the old master-class a complete mastery over him. I showed this in my last annual celebration address, and I need not go into it here. The payment of the negro by orders on stores, where the storekeeper controls price, quality, and quantity, and is subject to no competition, so that the negro must buy there and nowhere else–an arrangement by which the negro never has a dollar to lay by, and can be kept in debt to his employer, year in and year out–puts him completely at the mercy of the old master-class. He who could say to the negro, when a slave, you shall work for me or be whipped to death, can now say to him with equal emphasis, you shall work for me, or I will starve you to death… This is the plain, matter-of-fact, and unexaggerated condition of the plantation negro in the Southern States today.”

Frederick Douglass (1818–1895) American social reformer, orator, writer and statesman

Speech http://teachingamericanhistory.org/library/document/the-nations-problem/

B.K.S. Iyengar photo

“We are a little piece of continual change, looking at an infinite quantity of continual change.”

B.K.S. Iyengar (1918–2014) Indian yoga teacher and scholar

Source: Light on Life: The Yoga Journey to Wholeness, Inner Peace, and Ultimate Freedom, p. 7

Godfrey Higgins photo
Abraham Isaac Kook photo

“The difference between the Jewish soul, in all its independence, inner desires, longings, character and standing, and the soul of all the Gentiles, on all of their levels, is greater and deeper than the difference between the soul of a man and the soul of an animal, for the difference in the latter case is one of quantity, while the difference in the first case is one of essential quality.”

Orot Yisrael, Ch. 5, article 10, p. 156; as quoted in "The Distinction between Jews and Gentiles in Torah" by Rabbi David Bar Chaim http://www.daatemet.org.il/articles/article.cfm?article_id=119&lang=en
Variant:
The dissimilarity between the Jewish soul, in all its independence, inner desires, longings, character and standing vis-à-vis the soul of all the Gentiles — on all of their levels — is greater and deeper than the difference between the soul of a man and the soul of an animal, for the difference in the latter case is one of quantity, while the difference in the first case is one of essential quality
As quoted in "A British Synagogue Bans a Famous Hassidic Text!" (February 2010) by Rabbi Michael Leo Samuel http://rabbimichaelsamuel.com/2010/02/2744/#_ftn1.
Orot