Quotes about quantity (445 quotes, page 4)

“Just as organic species evolve toward the use of greater densities of a wider variety of free-energy sources in their environment, so human societies develop to access, store, and use in greater densities larger quantities of free energy through the ongoing improvement of their technologies. As a consequence societies, the same as natural systems, tend to grow larger in size, develop more intricate relations among their diverse components, and create more massive and flexible modes of interaction among them.”

Ervin László (1932) Hungarian musician and philosopher

Source: Evolution: the general theory (1996), p. 125.

Nature

“We have seen that Alfred in his day had never hesitated to use money as well as arms. Ethelred used money instead of arms. He used it in ever-increasing quantities, with ever-diminishing returns … There is the record of a final payment to the Vikings in 1012. This time forty-eight thousand pounds' weight of silver was extracted, and the oppressors enforce the collection by the sack of Canterbury, holding Archbishop Alphege to ransom, and finally killing him at Greenwich because he refused to coerce his flock to raise the money. The Chronicle states: "All these calamities fell upon us through evil counsel, because tribute was not offered to them at the right time, nor yet were they resisted; but, when they had done the most evil, then was peace made with them. And notwithstanding all this peace and tribute they went everywhere in companies, harried our wretched people, and slew them"”

Winston S. Churchill book A History of the English-Speaking Peoples

On Ethelred the Unready's policy; Vol I; The Birth of Britain.
A History of the English-Speaking Peoples (1956–58)

Money , People , Peace , Evil

“But there isn’t an outside. Talking about “society’s outcasts” or “opting out” is so much whaledreck. The fact that we generate huge quantities of waste is all that allows people to go outside; they’re benefiting from the superficial affluence which conformists use to alleviate boredom. In essence, using the term “out” is as meaningless as trying to define a location outside the universe. There’s no place for “outside” to be.”

John Brunner book Stand on Zanzibar

context (21) “Letter”
Stand on Zanzibar (1968)

People , Universe

“I am an anarchist, a political and social Huguenot; I deny everything and affirm naught but myself: because the sole truth of which I have material and moral proof and tangible, comprehensible and intelligible evidence, the only real, startling, non-arbitrary truth not susceptible to interpretation, is myself. I am. There I have a positive fact. Everything else is abstraction and, in mathematics, would be designated as "x", and unknown quantity; and I need not trouble myself with it.”

Anselme Bellegarrigue book Anarchist Manifesto

Anarchist Manifesto (1850)

Truth , Intelligence , Mathematics

““Time devours our feeble mortality, leaving us with but the sour residue of memory.”
Marvin nodded. “Yet this ineffable and ungraspable quantity,” he replied, “this time which no man may possess, is in truth our only possession.””

Robert Sheckley book Mindswap

Source: Mindswap (1966), Chapter 24 (p. 110)

Truth , Memory , Time

“The lesson is that the number of patents (produced by Taiwan) is irrelevant. After all, products that are discarded do not need patents. Universities and researchers must adjust their modes of thought. It is not just the sheer quantity of papers published, but whether the topics of such papers would be of help in ensuring the future of Taiwanese society.”

Chen Liang-gee (1956) politician

Chen Liang-gee (2017) cited in " INTERVIEW: Minister says role is to be ‘trailblazer’ for technology http://www.taipeitimes.com/News/taiwan/archives/2017/04/03/2003667988/3" on Taipei Times, 3 April 2017

Universe , Future , Help

“By a ‘spontaneous disturbance’ we shall mean any change in the underlying conditions, the cause of which we are prepared to take for granted and do not wish to examine, but the effect of which on the domestic and external position of our two countries we wish to examine. By a ‘policy’ change we shall mean a change which the State or some public authority brings about as a result of a definite decision of State policy in order to achieve some given end of general economic policy and in particular to offset some of the effects of a ‘spontaneous disturbance’. Finally, by an ‘induced’ change is meant a change in some quantity which occurs on purely commercial principles because of the repercussions of some previous ‘spontaneous’ or ‘policy’ change.”

James Meade (1907–1995) British economist

Source: The balance of payments, 1951, p. 43; As cited in: Metaxas, Phillip Edmund, and Ernst Juerg Weber. Australia's contribution to international trade theory: The dependent economy model. (2013), p. 18

Decision , Change , Country

“It may be in some measure due to the defects of notation in his time that Diophantos will have in his solutions no numbers whatever except rational numbers, in [the non-numbers of] which, in addition to surds and imaginary quantities, he includes negative quantities. …Such equations then as lead to surd, imaginary, or negative roots he regards as useless for his purpose: the solution is in these cases ὰδοπος, impossible. So we find him describing the equation 4=4x+20 as ᾰτοπος because it would give x=-4. Diophantos makes it throughout his object to obtain solutions in rational numbers, and we find him frequently giving, as a preliminary, conditions which must be satisfied, which are the conditions of a result rational in Diophantos' sense. In the great majority of cases when Diophantos arrives in the course of a solution at an equation which would give an irrational result he retraces his steps and finds out how his equation has arisen, and how he may by altering the previous work substitute for it another which shall give a rational result. This gives rise, in general, to a subsidiary problem the solution of which ensures a rational result for the problem itself. Though, however, Diophantos has no notation for a surd, and does not admit surd results, it is scarcely true to say that he makes no use of quadratic equations which lead to such results. Thus, for example, in v. 33 he solves such an equation so far as to be able to see to what integers the solution would approximate most nearly.”

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

Diophantos of Alexandria: A Study in the History of Greek Algebra (1885)

Problem , Sense , Time

“After so many great men have worked on this subject, I almost do not dare to say that I have discovered the universal principle upon which all these laws are based, a principle that covers both elastic and inelastic collisions and describes the motion and equilibrium of all material bodies.
This is the principle of least action, a principle so wise and so worthy of the supreme Being, and intrinsic to all natural phenomena; one observes it at work not only in every change, but also in every constancy that Nature exhibits. In the collision of bodies, motion is distributed such that the quantity of action is as small as possible, given that the collision occurs. At equilibrium, the bodies are arranged such that, if they were to undergo a small movement, the quantity of action would be smallest.
The laws of motion and equilibrium derived from this principle are exactly those observed in Nature. We may admire the applications of this principle in all phenomena: the movement of animals, the growth of plants, the revolutions of the planets, all are consequences of this principle. The spectacle of the universe seems all the more grand and beautiful and worthy of its Author, when one considers that it is all derived from a small number of laws laid down most wisely. Only thus can we gain a fitting idea of the power and wisdom of the supreme Being, not from some small part of creation for which we know neither the construction, usage, nor its relationship to other parts. What satisfaction for the human spirit in contemplating these laws of motion and equilibrium for all bodies in the universe, and in finding within them proof of the existence of Him who governs the universe!”

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)

Wisdom , Men , Law , Beauty

“More evidently still astronomy attains through arithmetic the investigations that pertain to it, not alone because it is later than geometry in origin—for motion naturally comes after rest—nor because the motions of the stars have a perfectly melodious harmony, but also because risings, settings, progressions, retrogressions, increases, and all sorts of phases are governed by numerical cycles and quantities. So then we have rightly undertaken first the systematic treatment of this, as the science naturally prior, more honorable, and more venerable, and, as it were, mother and nurse of the rest; and here we will take our start for the sake of clearness.”

Nicomachus (60–120) Ancient Greek mathematician

Book I, Chapter V
Nicomachus of Gerasa: Introduction to Arithmetic (1926)

Star , Nature , Science

“Mahmood having reached Tahnesur before the Hindoos had time to take measures for its defence, the city was plundered, the idols broken, and the idol Jugsom was sent to Ghizny to be trodden under foot…Mahmood having refreshed his troops, and understanding that at some distance stood the rich city of Mutra [Mathura], consecrated to Krishn-Vasdew, whom the Hindoos venerate as an emanation of God, directed his march thither and entering it with little opposition from the troops of the Raja of Delhy, to whom it belonged, gave it up to plunder. He broke down or burned all the idols, and amassed a vast quantity of gold and silver, of which the idols were mostly composed. He would have destroyed the temples also, but he found the labour would have been excessive; while some say that he was averted from his purpose by their admirable beauty. He certainly extravagantly extolled the magnificence of the buildings and city in a letter to the governor of Ghizny, in which the following passage occurs: "There are here a thousand edifices as firm as the faith of the faithful; most of them of marble, besides innumerable temples; nor is it likely that this city has attained its present condition but at the expense of many millions of deenars, nor could such another be constructed under a period of two centuries."…The King tarried in Mutra 20 days; in which time the city suffered greatly from fire, beside the damage it sustained by being pillaged. At length he continued his march along the course of a stream on whose banks were seven strong fortifications, all of which fell in succession: there were also discovered some very ancient temples, which, according to the Hindoos, had existed for 4000 years. Having sacked these temples and forts, the troops were led against the fort of Munj…The King, on his return, ordered a magnificent mosque to be built of marble and granite, of such beauty as struck every beholder with astonishment, and furnished it with rich carpets, and with candelabras and other ornaments of silver and gold. This mosque was universally known by the name of the Celestial Bride. In its neighbourhood the King founded an university, supplied with a vast collection of curious books in various languages. It contained also a museum of natural curiosities. For the maintenance of this establishment he appropriated a large sum of money, besides a sufficient fund for the maintenance of the students, and proper persons to instruct youth in the arts and sciences…The King, in the year AH 410 (AD 1019), caused an account of his exploits to be written and sent to the Caliph, who ordered it to be read to the people of Bagdad, making a great festival upon the occasion, expressive of his joy at the propagation of the faith.”

Mahmud of Ghazni (971–1030) Sultan of Ghazni

Tarikh-i-Firishta, translated by John Briggs under the title History of the Rise of the Mahomedan Power in India, first published in 1829, New Delhi Reprint 1981, Vol. I, pp. 27-37.
Quotes from Muslim medieval histories

Money , God , People , Books

“The lower classes of people in Europe may at some future period be much better instructed then they are at present; they may be taught to employ the little spare time they have in many better ways than at the ale-house; they may live under better and more equal laws than they have hitherto done, perhaps, in any country; and I even conceive it possible, though not probable, that they may have more leisure; but it is not in the nature of things, that they can be awarded such a quantity of money or substance, as will allow them all to marry early, in the full confidence that they shall be able to provide with ease for a numerous family.”

Thomas Robert Malthus (1766–1834) British political economist

Source: An Essay on The Principle of Population (First Edition 1798, unrevised), Chapter XIV, paragraph 9

Money , People , Family , Law

“The individual is reduced to a negligible quantity, perhaps less in his consciousness than in his practice and in the totality of his obscure emotional states that are derived from this practice. The individual has become a mere cog in an enormous organization of things and powers which tear from his hands all progress, spirituality, and value in order to transform them from their subjective form into the form of a purely objective life. It needs merely to be pointed out that the metropolis is the genuine arena of this culture which outgrows all personal life. Here in buildings and educational institutions, in the wonders and comforts of space-conquering technology, in the formations of community life, and in the visible institutions of the state, is offered such an overwhelming fullness of crystallized and impersonalized spirit that the personality, so to speak, cannot maintain itself under its impact.”

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

Source: The Metropolis and Modern Life (1903), p. 422

Life , Education , Communication , Tear

“Pure publication quantity today has become a meaningless metric. One can publish almost anything.”

Robert J. Marks II (1950) American electrical engineering researcher and intelligent design advocate

All engineering fields are either solutions looking for problems or problems looking for solutions.
The secret of doing many things at the same time is to do them all poorly.
Forecasting the future of technology is risky. Predictions tend to be linear whereas technical advances come in quantum jumps from paradigm shifts. After the second World War, forecasters in electronics [who did not foresee the transistor] would have linearly [and incorrectly] foretasted breakthroughs in better vacuum tube reliability from, for example, improved filament chemistry.
"Neural Networks and Beyond-An Interview with Robert J. Marks," IEEE Circuits and Devices Magazine, Volume 12, Issue 5, 1996 [DOI 10.1109/MCD.1996.537355 http://ieeexplore.ieee.org/search/srchabstract.jsp?tp=&arnumber=537355,, From an interview with Professor Bing Sheu, (University of Southern California), July 20, 2007, 2010-05-06]

“That old standby of melodrama, the rich uncle shoved into the bin so the greedy relatives could get their hands on his estate, had a sound basis in fact. The Victorians cleaned up the straw and the chains of the old Bedlam-like institutions of the eighteenth century, but they didn't always clean up the practices. Patients were drugged, starved, drained of vast quantities of blood, beaten up, swung from ropes, immersed in cold water and whirled around in the air upside-down, all in the belief that it would improve their mental states. Ask yourself whether this is likely to have been true.”

Margaret Atwood (1939) Canadian writer

Ophelia Has a Lot to Answer For (1997)

Water

“But with the passing of time, a peasant became a tribal and from tribal a beast. William Finch, writing at Agra about 1610 C. E., describes how Jahangir and his nobles treated them - during Shikar. A favourite form of sport in Mughal India was the Kamargha, which consisted in enclosing a tract of country by a line of guards, and then gradually contracting the enclosure until a large quantity of game was encircled in a space of convenient size. “Whatever is taken in this enclosure” (Kamargha or human circle), writes Finch, “is called the king’s shikar or game, whether men or beasts… The beasts taken, if man’s meat, are sold… if men they remain the King’s slaves, which he sends yearly to Kabul to barter for horses and dogs: these being poor, miserable, thievish people, that live in woods and deserts, little differing from beasts.”89 W. H. Moreland adds: “Other writer (also) tell it besides Finch.””

Jahangir (1569–1627) 4th Mughal Emperor

Finch, William, quoted from Lal, K. S. (1992). The legacy of Muslim rule in India. New Delhi: Aditya Prakashan. Chapter 7

Men , People , Dogs , Game

“My talents are not those of Kan Pao, elegant explorer of the records of the Gods; I am rather animated by the spirit of Su Tung-P'o, who loved to hear men speak of the supernatural. I get people to commit what they tell me to writing, and subsequently I dress it up in the form of a story; thus in the lapse of time my friends from all quarters have supplied me with quantities of material, which, from my habit of collecting, has grown into a vast pile.”

Pu Songling (1640–1715) Chinese writer

"Author's Own Record", trans. Herbert Allen Giles in Gems of Chinese Literature (1922), p. 235 Variant translation: With time And my love of hoarding, The matter sent me by friends From the four corners Has grown into a pile. "Author's Preface", lines 28–32, trans. John Minford in Strange Tales from a Chinese Studio (Penguin, 2006), pp. 30–31
/ Strange Stories from a Chinese Studio (1740)

Love , Men , Animals , People

“Sunday itself—that unfortunate failure of a holyday as it too often proved, what with my sense of its fugitiveness, and over-care to get the greatest quantity of pleasure out of it …”

Charles Lamb Last Essays of Elia

“The superannuated man”
Last Essays of Elia (1833)

Pleasure , Failure , Sense

“There are, in fact, as I began to say above, not a few principles which are the special property of mathematics, such principles as are discovered by the common light of nature, require no demonstration, and which concern quantities primarily; then they are applied to other things, so far as the latter have something in common with quantities. Now there are more of these principles in mathematics than in the other theoretical sciences because of that very characteristic of the human understanding which seems to be such from the law of creation, that nothing can be known completely except quantities or by quantities. And so it happens that the conclusions of mathematics are most certain and indubitable.”

Johannes Kepler (1571–1630) German mathematician, astronomer and astrologer

Vol. VIII, p. 148
Joannis Kepleri Astronomi Opera Omnia, ed. Christian Frisch (1858)

Law , Mathematics , Understanding , Nature

“No-one in their senses wants nuclear weapons for their own sake, but equally, no responsible prime minister could take the colossal gamble of giving up our nuclear defences while our greatest potential enemy kept their's. Policies which would throw out all American nuclear bases…would wreck NATO and leave us totally isolated from our friends in the United States, and friends they are. No nation in history has ever shouldered a greater burden nor shouldered it more willingly nor more generously than the United States. This Party is pro-American. And we must constantly remind people what the defence policy of the [Labour] Party would mean. Their idea that by giving up our nuclear deterrent, we could somehow escape the result of a nuclear war elsewhere is nonsense, and it is a delusion to assume that conventional weapons are sufficient defence against nuclear attack. And do not let anyone slip into the habit of thinking that conventional war in Europe is some kind of comfortable option. With a huge array of modern weapons held by the Soviet Union, including chemical weapons in large quantities, it would be a cruel and terrible conflict. The truth is that possession of the nuclear deterrent has prevented not only nuclear war but also conventional war and to us, peace is precious beyond price. We are the true peace party.”

Margaret Thatcher (1925–2013) British stateswoman and politician

Speech to Conservative Party Conference (12 October 1984) http://www.margaretthatcher.org/document/105763
Second term as Prime Minister

War , People , Truth , Peace

“The historical associations of the word algebra almost substantiate the sordid character of the subject. The word comes from the title of a book written by… Al Khowarizmi. In this title, al-jebr w' almuqabala, the word al-jebr meant transposing a quantity from one side of an equation to another and muqabala meant simplification of the resulting expressions. Figuratively, al-jebr meant restoring the balance of an equation… When the Moors reached Spain… algebrista… came to mean a bonesetter… and signs reading Algebrista y Sangrador (bonesetter and bloodletter) were found over Spanish barber shops. Thus it might be said that there is a good historical basis for the fact that the word algebra stirs up disagreeable thoughts.”

Morris Kline (1908–1992) American mathematician

Source: Mathematics and the Physical World (1959), p. 69

Books , Reading

“he seldom or never spoke except actually to convey an idea. Measured by quantity of words, he was a talker of fully average copiousness; by extent of meaning communicated, he was the most copious I have listened to. How in few sentences he would sketch you off an entire biography, an entire object or transaction, keen, clear, rugged, genuine, completely rounded In! His words came direct from the heart by the inspiration of the moment.”

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

1880s, Reminiscences (1881)

Communication , Idea , Heart

“When God first created man, He endowed him with the spirit of goodness. As a result, men were born with wisdom …. they took the Name of God and …. were liberated from the bonds of life. God thought, 'This will not do…. In the end….. He mingled in profuse quantities of the spirit of materialism and that of vanity. Now the game of life went on with a swing!”

Sarada Devi (1853–1920) Hindu religious figure, spiritual consort of Ramakrishna

[In the Company of the Holy Mother, 212-213]

Life , Wisdom , Men , God

“The art of taxation consists in so plucking the goose as to procure the largest quantity of feathers with the least possible amount of hissing.”

Jean-Baptiste Colbert (1619–1683) French politician

Quoted in: William Sharp McKechnie (1896). The State & the Individual: An Introduction to Political Science, with Special Reference to Socialistic and Individualistic Theories https://archive.org/details/stateindividuali00mckeuoft. p. 77

Art

“It is quality rather than quantity that matters.”
Non refert quam multos sed quam bonos habeas.

Seneca the Younger (-4–65 BC) Roman Stoic philosopher, statesman, and dramatist

Source: Epistulae Morales ad Lucilium (Moral Letters to Lucilius), Letter XLV: On sophistical argumentation, Line 1

““The loan of a jacket is little hardship,” Fox replied mildly. “I retain my shirt, waistcoat, trousers, and much else besides. Truly the vast difference in the quantity of fabric allocated to fashionable men and women is inexplicable.”

David D. Levine (1961) science fiction writer

Source: Arabella and the Battle of Venus (2017), Chapter 11, “Prisoners” (p. 166)

Women , Men , Fashion

“One of the best things in the gospel of Jesus is the stress it lays on small things. It ascribes more value to quality than to quantity; it teaches that God does not ask how much we do, but how we do it.”

James Freeman Clarke (1810–1888) American theologian and writer

Source: Dictionary of Burning Words of Brilliant Writers (1895), P. 387.

God

“God in His infinite grandeur without any quantity and absolutely indivisible, which we call immensity, is necessarily all in every extension or space or place which exists or can be imagined.”

Nicole Oresme (1323–1382) French philosopher

Book II, Ch. 2, p. 279.
Le livre du ciel et du monde (1377)

God , Imagination

“The merest presence of life, even the smallest possible quantity of volition, desire and intent was enough to reverse the process by which the eternal landscape of hell made itself known.”

Philip K. Dick (1928–1982) American author

Source: Lies, Inc. (1984), Chapter 8 (p. 79)

Life , Hell

“Before the age of adulteration it was held that behind each work there stood some conception of its perfect execution. It was this that gave zest to labor and served to measure the degree of success. To the extent that the concept obtained, there was a teleology in work, since the laborer toiled not merely to win sustenance but to see this ideal embodied in his creation. Pride in craftsmanship is well explained by saying that to labor is to pray, for conscientious effort to realize an ideal is a kind of fidelity. The craftsman of old time did not hurry, because the perfect takes no account of time and shoddy work is a reproach to character. But character itself is an expression of self-control, which does not come of taking the easiest way. Where character forbids self-indulgence, transcendence still hovers around. When utilitarianism becomes enthroned and the worker is taught that work is use and not worship, interest in quality begins to decline. … There is a difference between expressing one’s self in form and producing quantity for a market with an eye to speculation. Péguy wished to know what had become of the honor of work. It has succumbed to the same forces as have all other expressions of honor.”

Richard M. Weaver (1910–1963) American scholar

Source: Ideas have Consequences (1948), pp. 73-74.

Age , Way , Effort , Time

“The Pre-Lutheran German Bible. The precise origin of the mediaeval German Bible is still unknown. Dr. Ludwig Keller of Münster first suggested in his Die Reformation und die älteren Reformparteien, Leipzig, 1885, pp. 257-260, the hypothesis that it was made by Waldenses (who had also a Romanic version); and he tried to prove it in his Die Waldenser und die deutschen Bibelübersetzungen, Leipzig, 1886 (189 pages). Dr. Hermann Haupt, of Würzburg, took the same ground in his Die deutsche Bibelübersetzung der mittelalterlichen Waldenser in dem Codex Teplensis und der ersten gedruckten Bibel nachgewiesen, Würzburg, 1885 (64 pages); and again, in self-defense against Jostes, in Der waldensische Ursprung des Codex Teplensis und der vor-lutherischen deutschen Bibeldrucke, Würzburg, 1886. On the other hand, Dr. Franz Jostes, a Roman Catholic scholar, denied the Waldensian and defended the Catholic origin of that translation, in two pamphlets: Die Waldenser und die vorlutherische Bibelübersetzung, Münster, 1885 (44 pages), and Die Tepler Bibelübersetzung. Eine zweite Kritik, Münster, 1886 (43 pages). The same author promises a complete history of German Catholic Bible versions.
The hostility of several Popes and Councils to the circulation of vernacular translations of the Bible implies the existence of such translations, and could not prevent their publication, as the numerous German editions prove. Dutch, French, and Italian versions also appeared among the earliest prints. See Stevens, Nos. 687 and 688 (p. 59 sq.). The Italian edition exhibited in 1877 at London is entitled: La Biblia en lingua Volgare (per Nicolo di Mallermi). Venetia: per Joan. Rosso Vercellese, 1487, fol. A Spanish Bible by Bonif. Ferrer was printed at Valencia, 1478 (see Reuss, Gesch. der heil. Schr. N. T., II. 207, 5th Ed.).
The Bible is the common property and most sacred treasure of all Christian churches. The art of printing was invented in Catholic times, and its history goes hand in hand with the history of the Bible. Henry Stevens says (The Bibles in the Caxton Exhibition, p. 25): ""The secular history of the Holy Scriptures is the sacred history of Printing. The Bible was the first book printed, and the Bible is the last book printed. Between 1450 and 1877, an interval of four centuries and a quarter, the Bible shows the progress and comparative development of the art of printing in a manner that no other single book can; and Biblical bibliography proves that during the first forty years, at least, the Bible exceeded in amount of printing all other books put together; nor were its quality, style, and variety a whit behind its quantity.""”

Philip Schaff (1819–1893) American Calvinist theologian

Roman Catholic rival German versions of the Bible

Hostility , Books , Art , History

“They are not your friends, but they are your enemies in fact, though not in intention, who teach you to look to the Legislature for the radical removal of the evils that afflict human life…It is the individual mind and conscience, it is the individual character, on which mainly human happiness or misery depends. (Cheers.) The social problems that confront us are many and formidable. Let the Government labour to its utmost, let the Legislature labour days and nights in your service; but, after the very best has been attained and achieved, the question whether the English father is to be the father of a happy family and the centre of a united home is a question which must depend mainly upon himself. (Cheers.) And those who…promise to the dwellers in towns that every one of them shall have a house and garden in free air, with ample space; those who tell you that there shall be markets for selling at wholesale prices retail quantities—I won't say are imposters, because I have no doubt they are sincere; but I will say they are quacks (cheers); they are deluded and beguiled by a spurious philanthropy, and when they ought to give you substantial, even if they are humble and modest boons, they are endeavouring, perhaps without their own consciousness, to delude you with fanaticism, and offering to you a fruit which, when you attempt to taste it, will prove to be but ashes in your mouths.”

William Ewart Gladstone (1809–1898) British Liberal politician and prime minister of the United Kingdom

Cheers.
Speech at Blackheath (28 October 1871), quoted in The Times (30 October 1871), p. 3.
1870s

Life , Family , Home , Question

“In both quantum theory and general relativity, we encounter predictions of physically sensible quantities becoming infinite. This is likely the way that nature punishes impudent theorists who dare to break her unity. …If infinities are signs of missing unification, a unified theory will have none. It will be what we call a finite theory.”

Lee Smolin (1955) American cosmologist

The Trouble With Physics: The Rise of String Theory, The Fall of a Science, and What Comes Next (2007)

Way , Nature

“In many cases, a jig borer is a "jig eliminator." In other words, such a machine may be used instead of a jig either when the quantity of work is not large enough to warrant making a jig or when there is insufficient time for jig making.”

Franklin D. Jones (1879–1967) mechanical engineer

Machine Shop Training Course, 5th ed. (New York: Industrial Press, 1964), Volume 1 (p. 358).

Time

“I will take leave to read to the house a few figures which show the amazing, the unprecedented growth which has not perhaps a parallel in the annals of the past, of the military power of our neighbours within the past three or four years… From January 1861 to January 1863 the army of 10,000 was increased to 800,000… In January 1861 the ships of war belonging to the United States were 83; in December 1864 they numbered 671…
These are frightful figures for the capacity of destruction they represent, for the heaps of carnage that they represent, for the quantity of human blood spilt that they represent, for the lust of conquest that they represent, for the evil passions that they represent, and for the the arrest of onward progress that they represent.”

Thomas D'Arcy McGee (1825–1868) Canadian politician

Legislative Assembly, February 9, 1865

War , Passion , Evil , Reading

“SWA Magazine: Talking about spacecraft, what do you think about the shuttle program?
Asimov: Well, I hope it does get off the ground. And I hope they expand it, because the shuttle program is the gateway to everything else. By means of the shuttle, we will be able to build space stations and power stations, laboratory facilities and habitations, and everything else in space.
SWA Magazine: How about orbital space colonies? Do you see these facilities being built or is the government going to cut back on projects like this?
Asimov: Well, now you've put your finger right on it. In order to have all of these wonderful things in space, we don't have to wait for technology - we've got the technology, and we don't have to wait for the know-how - we've got that too. All we need is the political go-ahead and the economic willingness to spend the money that is necessary. It is a little frustrating to think that if people concentrate on how much it is going to cost they will realize the great amount of profit they will get for their investment. Although they are reluctant to spend a few billions of dollars to get back an infinite quantity of money, the world doesn't mind spending $400 billion every years on arms and armaments, never getting anything back from it except a chance to commit suicide.”

Isaac Asimov (1920–1992) American writer and professor of biochemistry at Boston University, known for his works of science fiction …

An Interview with Isaac Asimov (1979)

Money , People , World , Hope

“If the physician clearly perceives what is to be cured in diseases, that is to say, in every individual case of disease (knowledge of disease, indication), if he clearly perceives what is curative in medicines, that is to say, in each individual medicine (knowledge of medical powers), and if he knows how to adapt, according to clearly defined principles, what is curative in medicines to what he has discovered to be undoubtedly morbid in the patient, so that the recovery must ensue - to adapt it, as well in respect to the suitability of the medicine most appropriate according to its mode of action to the case before him (choice of the remedy, the medicine indicated), as also in respect to the exact mode of preparation and quantity of it required (proper dose), and the proper period for repeating the dose; - if, finally, he knows the obstacles to recovery in each case and is aware how to remove them, so that the restoration may be permanent, then he understands how to treat judiciously and rationally, and he is a true practitioner of the healing art.”

Samuel Hahnemann (1755–1843) German physician best known for creating a system of alternative medicine called homeopathy

Aphorism 3 of The Organon of the Healing Art http://www.homeopathyhome.com/reference/organon/organon.html.

Disease , Art , Understanding , Knowledge

“Gold is required in large quantities only in a society which produces a very large economic surplus and can afford to transform part of that surplus into gold for prestige purposes (as in India) or into coinage and money to promote capitalism”

Walter Rodney book How Europe Underdeveloped Africa

as in Western Europe
Source: How Europe Underdeveloped Africa (1972), p. 106.

Money , Parting

“The hypothesis of molecular vortices is defined to be that which assumes — that each atom of matter consists of a nucleus or central point enveloped by an elastic atmosphere, which is retained in its position by attractive forces, and that the elasticity due to heat arises from the centrifugal force of those atmospheres revolving or oscillating about their nuclei or central points.
According to this hypothesis, quantity of heat is the vis viva of the molecular revolutions or oscillations.”

William John Macquorn Rankine (1820–1872) civil engineer

"On the Centrifugal Theory of Elasticity as applied to Gases and Vapours" in The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science (July-December 1851), p. 510

“To renew the energy expended in physical labour, the worker must be provided with the requirements of his existence as a functioning organism—food, clothing, and shelter for himself and his family. The labour time socially necessary to produce the necessities of life of the worker is the value of the worker’s labour power. The latter’s value is, therefore, reducible to a specifiable quantity of commodities: those which the worker requires to be able to subsist and reproduce.”

Anthony Giddens (1938) British sociologist

(describing Marx’s view), p. 49.
Capitalism and Modern Social Theory (1971)

Life , Family , Food , Time

“The term A[rt] resembles a chemist's graduated glass. Each age contributes its own quantity: for example, 5 grams of the perfume 'Coty' to tickle the nostrils of the fine gentry. Or another example, 10 cc of sulfuric acid to be thrown into the face of the ruling classes. Or, 15 cc: of some kind of metallic solution that later changes into a new source of light.... [as Lissitzky goes on to say] This A[rt] is an invention of the mind, i. e. a complex, where rationality is fused with imagination.”

El Lissitsky (1890–1941) Soviet artist, designer, photographer, teacher, typographer and architect

Quote of El Lissitzky, 1925, from his text: 'A. and Pangeometry', in Architecture for World Revolution; trans. Paul Filotas et al. (London: Thames and Hudson, 1988) p. 17
1915 - 1925

Age , Imagination , Light , Change

“A new development began for relativity theory after 1925 with its absorption into quantum physics. The first great success was scored by Dirac's quantum mechanical equations of the electron, which introduced a new sort of quantities, the spinors, besides the vectors and tensors into our physical theories. …But difficulties of the gravest kind turned up when one passed from one electron or photon to the interaction among an indeterminate number of such particles. In spite of several advances a final solution of this problem is not yet in sight and may well require a deep modification of the foundation of quantum mechanics, such as would account in the same basic manner for the elementary electric charge e as relativity theory and our present quantum mechanics account for c and h.”

Hermann Weyl (1885–1955) German mathematician

Preface to the First American Printing (1950) Note: see Paul Dirac, The Principles of Quantum Mechanics (1947)
Space—Time—Matter (1952)

Problem , Success

“When it comes to the Middle East, Trump again has the advantage of being an unknown quantity. Although he has talked a lot of nonsense about foreign policy, he has also insisted on a valid point: the current US policy simply doesn’t work. That, in turn, might persuade him to look for something different, creating at least an opportunity for repairing some of the damage done by Obama’s wayward policies to peace and stability in the Middle East. Clinton, in contrast, already has a record. She backed the Muslim Brotherhood in Egypt before Obama decided to ditch them. She was co-pilot in Obama’s disastrous policy in Libya. On the perennial Arab-Israeli conflict, she did the hoola dance choreographed by Obama, going round and round and getting nowhere. Clinton was also in the driving seat when the US launched secret talks in Oman with Iran’s President Mahmoud Ahmadinejad, a textbook example of diplomatic chicanery that led to the great swindle known as “the Iran Nuclear deal.””

Amir Taheri (1942) Iranian journalist

Opinion: Clinton or Trump – Better or Less Bad? http://english.aawsat.com/2016/11/article55361471/opinion-clinton-trump-better-less-bad, Ashraq Al-Awsat (November 4, 2016)

Secret , Peace , Dance

“For we may remark generally of our mathematical researches, that these auxiliary quantities, these long and difficult calculations into which we are often drawn, are almost always proofs that we have not in the beginning considered the objects themselves so thoroughly and directly as their nature requires, since all is abridged and simplified, as soon as we place ourselves in a right point of view.”

Louis Poinsot (1777–1859) French mathematician and physicist

[Louis Poinsot, translated by Charles Thomas Whitley, Outlines of a new theory of rotatory motion, R. Newby (Cambridge), 1834, 4]

Mathematics , Nature

“He used capital vowels for the unknown quantities and capital consonants for the known, thus being able to express several unknowns and several knowns.”

David Eugene Smith (1860–1944) American mathematician

Source: History of Mathematics (1925) Vol.2, p. 430; footnote

“I have known a vast quantity of nonsense talked about bad men not looking you in the face. Don't trust that conventional idea. Dishonesty will stare honesty out of countenance, any day in the week, if there is anything to be got by it.”

Charles Dickens (1812–1870) English writer and social critic and a Journalist

Hunted Down http://www.gutenberg.org/dirs/etext97/hntdn10.txt (1859)

Men , Idea

“Many facts have lately transpired which tend to overthrow the hypothesis that heat is itself a body, and to prove that it consists in a motion of the ultimate particles of bodies. If this be so, the general principles of mechanics may be applied to heat; this motion may be converted into work, the loss of vis viva in each particular case being proportional to the quantity of work produced.
These circumstances, of which Carnot was also well aware, and the importance of which he expressly admitted, pressingly demand a comparison between heat and work, to be undertaken with reference to the divergent assumption that the production of work is not only due to an alteration in the distribution of heat, but to an actual consumption thereof; and inversely, that by the expenditure of work, heat may be produced.”

Rudolf Clausius (1822–1888) German mathematical physicist

First Memoir.
The Mechanical Theory of Heat (1867)

Loss

“I could give here several other ways of tracing and conceiving a series of curved lines, each curve more complex than any preceding one, but I think the best way to group together all such curves and them classify them in order, is by recognizing the fact that all points of those curves which we may call "geometric," that is, those which admit of precise and exact measurement, must bear a definite relation to all points of a straight line, and that this relation must be expressed by a single equation. If this equation contains no term of higher degree than the rectangle of two unknown quantities, or the square of one, the curve belongs to the first and simplest class, which contains only the circle, the parabola, the hyperbola, and the ellipse; but when the equation contains one or more terms of the third or fourth degree in one or both of the two unknown quantities (for it requires two unknown quantities to express the relation between two points) the curve belongs to the second class; and if the equation contains a term of the fifth or sixth degree in either or both of the unknown quantities the curve belongs to the third class, and so on indefinitely.”

René Descartes book La Géométrie

Second Book
La Géométrie (1637)

Way , Thinking

“The division of labour is a consequence of the previous accumulation of capital… As the accumulation of capital must have preceded the division of labour, so its subsequent division can only be extended as capital is more and more accumulated. Accumulation and division act and react on each other. The quantity of raw materials which the same number of people can work up increases in a great proportion, as labour comes to be more and more subdivided; and acccording as the operations of each workman are reduced to a greater degree of identity and simplicity, he has, as already explained, a greater chance of discovering machines and processes for facilitating and abridging his labour. The quantity of industry, therefore, not only increases in every country with the increase of the stock or capital which sets it in motion; but, in consequence of this increase, the division of labour becomes extended, new and more powerful implements and machines are invented, and the same quantity of labour is thus made to produce an infinitely greater quantity of commodities”

John Ramsay McCulloch (1789–1864) Scottish economist, author and editor

Source: The principles of political economy, 1825, p. 95-96

People , Chance , Country

“It is the business of the production engineer to know every single item that constitutes his finished product, and every step involved in the handling of every piece. He must know what is the most advantageous manufacturing quantity of every single item so as to secure uniformity of flow as well as economy of manufacture. He must know how long each step ought to take under the best attainable working conditions. He must be able to tell at any time the exact condition as regards quantity and state of finishedness of every part involved in his manufacturing process.”

Hugo Diemer (1870–1937) American mechanical engineer

Source: "Industrial Engineering," 1905, p. 67

Business , Time , Parting

“To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be.”

Leonhard Euler (1707–1783) Swiss mathematician

As quoted in Fundamentals of Teaching Mathematics at University Level (2000) by Benjamin Baumslag, p. 214

Mathematics

“There be three speciall notes necessary to be obserued in the framing of our accustomed English Ryme. The first is, that one meeter or verse be aunswerable to an other, in equall number of feete or syllables, or proportionable to the tune whereby it is to be reade or measured. The seconde, to place the words in such sorte as none of them be wrested contrary to the naturall inclination or affectation of the same, or more truely the true quantity thereof. The thyrd, to make them fall together mutually in Ryme, that is, in wordes of like sounde, but so as the wordes be not disordered for the Rymes sake, nor the sence hindered.”

William Webbe

Discourse of English Poetrie http://www.bartleby.com/209/161.html, 1871 [1586], pp. 57–8.

Reading

“My whole concept of economics is based on the idea that we have to explain how prices operate as signals, telling people what they ought to do in particular circumstances. The approach to this problem has been blocked by a cost or labor theory of value, which assumes that prices are determined by the technical conditions of production only. The important question is to explain how the interaction of a great number of people, each possessing only limited knowledge, will bring about an order that could only be achieved by deliberate direction taken by somebody who has the combined knowledge of all these individuals. However, central planning cannot take direct account of particular circumstances of time and place. Additionally, every individual has important bits of information which cannot possibly be conveyed to a central authority in statistical form. In a system in which the knowledge of relevant data is dispersed among millions of agents, prices can act to coordinate the separate actions of different individuals.
Given this context, it is intellectually not satisfactory to attempt to establish causal relations between aggregates or averages in the manner in which the discipline of macroeconomics has attempted to do. Individuals do not make decisions on the basis of partial knowledge of magnitudes such as the total amount of production, or the total quantity of money. Aggregative theorizing leads nowhere.”

Friedrich Hayek (1899–1992) Austrian and British economist and Nobel Prize for Economics laureate

1960s–1970s, A Conversation with Professor Friedrich A. Hayek (1979)

Money , People , Idea , Question

“The vulgarity of the myth of modernity is plainly revealed by the preeminence in its mythology of the factors of quantity; to be modern is always to beat the record in some respect. Distinction, therefore, is opposed to modernity as quality is to quantity.”

Charles Baudouin (1893–1963) French-Swiss psychoanalyst

section 15
The Myth of Modernity (1946)

“Its importance is that if R[egulator] is fixed in its channel capacity, the law places an absolute limit to the amount of regulation (or control) that can be achieved by R, no matter how R is re-arranged internally, or how great the opportunity in T. Thus the ecologist, if his capacity as a channel is unchangeable, may be able at best only to achieve a fraction of what he would like to do. This fraction may be disposed in various ways —he may decide to control outbreaks rather than extensions, or virus infections rather than bacillary — but the quantity of control that he can exert is still bounded. So too the economist may have to decide to what aspect he shall devote his powers, and the psychotherapist may have to decide what symptoms shall be neglected and what controlled.”

W. Ross Ashby (1903–1972) British psychiatrist

Source: An Introduction to Cybernetics (1956), Part 3: Regulation and control, p. 245: Regarding the law of requisite variety

Law , Way

“In order for there to be a variable quantity in some mathematical study, the domain of its variability must strictly speaking be known beforehand through a definition. However, this domain cannot itself be something variable, since otherwise each fixed support for the study would collapse. Thus this domain is a definite, actually infinite set of values. Hence each potential infinite, if it is rigorously applicable mathematically, presupposes an actual infinite.”

Georg Cantor (1845–1918) mathematician, inventor of set theory

"Über die verschiedenen Ansichten in Bezug auf die actualunendlichen Zahlen" ["Over the different views with regard to the actual infinite numbers"] - Bihand Till Koniglen Svenska Vetenskaps Akademiens Handigar (1886)

Mathematics , Support , Study

“We do not, however, reckon that trade disadvantageous which consists in the exchange of the hard-ware of England for the wines of France; and yet hard-ware is a very durable commodity, and were it not for this continual exportation, might too be accumulated for ages together, to the incredible augmentation of the pots and pans of the country. But it readily occurs that the number of such utensils is in every country necessarily limited by the use which there is for them; that it would be absurd to have more pots and pans than were necessary for cooking the victuals usually consumed there; and that if the quantity of victuals were to increase, the number of pots and pans would readily increase along with it, apart of the increased quantity of victuals being employed in purchasing them, or in maintaining an additional number of workman whose business it was to make them.”

Adam Smith (1723–1790) Scottish moral philosopher and political economist

Source: The Wealth of Nations (1776), Book IV, Chapter I, p. 471.

Age , Business , Wine , Cooking

“Wherever there are qualities there are likewise quantities, but not always vice versa.”

Johannes Kepler (1571–1630) German mathematician, astronomer and astrologer

Vol. VIII, p. 47ff.
Joannis Kepleri Astronomi Opera Omnia, ed. Christian Frisch (1858)

“But you may perhaps wonder why I explain Time without Motion, and will say, does not Time imply Motion? I answer no, as to its absolute and intrinsic Nature; any more than it does Rest. The Quantity of Time, in itself, depends not on either of them; for whether Things move on, or stand still; whether we sleep or wake, Time flows perpetually with an equal Tenor.”

Isaac Barrow (1630–1677) English Christian theologian, and mathematician

p, 125
Geometrical Lectures (1735)

Nature , Sleep , Time , Dependency

“[T]he symbols of algebra, when employed in abstruse and complex theoretical investigations, constitute a sort of thought-saving machine, by whose aid a person skilled in its use can solve problems respecting quantities, and dispense with the mental labour of thinking of the quantities denoted by the symbols, except at the beginning and the end of the operation.”

William John Macquorn Rankine (1820–1872) civil engineer

p, 125
"On the Harmony of Theory and Practice in Mechanics" (Jan. 3, 1856)

Problem , Thinking , Personality

“Because they [the ancient Greeks] feared infinite processes they missed the limit process. In approximating a circle by a polygon they were content to make the difference smaller than any given quantity, but something positive was always left over. Thus the process remained clear to the intuition; the limit process, on the other hand, would have involved the infinitely small.”

Morris Kline (1908–1992) American mathematician

Source: Mathematical Thought from Ancient to Modern Times (1972), p. 176

Fear

“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.”

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

William Stanley Jevons 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 - 152.

Food

“At one time, the race depended upon quantity for survival," Toby said. "Now it is destroying itself. We believe that man's unique characteristics, imagination, psychic understanding, sympathy, and so forth, are being undermined. Even if the race survives physically, it won't be the same race. We won't be bright enough to recognize our fall from grace, either; that's the hell of it. Tests show that though our mental capacity is as great as ever, our use of it has slumped to an astonishing degree.”

Jane Roberts (1929–1984) American Writer

Source: The Rebellers (1963), p. 66

Imagination , Hell , Understanding , Time

“A quantity growing exponentially toward a limit reaches that limit in a surprisingly short time.”

Donella Meadows (1941–2001) American environmental scientist, teacher, and writer

Thinking in systems: A Primer (2008)

Time

“What right had I to value her less than the bodies in the square? Suffering is not increased by numbers; one body can contain all the suffering the world can feel. I had judged like a journalist, in terms of quantity, and I had betrayed my own principles; I had become as engage as Pyle, and it seemed to me that no decision would ever be simple again.”

Graham Greene book The Quiet American

Pt. IV, ch. 2, pg 242
The Quiet American (1955)

World , Feeling , Decision , Suffering

“The value of money is in proportion to the quantity of the necessaries of life which it will purchase.”

Adam Smith (1723–1790) Scottish moral philosopher and political economist

Source: (1776), Book V, Chapter II, Part II, Article IV.

Life , Money

“The equations at which we arrive must be such that a person of any nation, by substituting the numerical values of the quantities as measured by his own national units, would obtain a true result.”

James Clerk Maxwell (1831–1879) Scottish physicist

Encyclopedia Brittanica article, quoted by Patricia Fara in Science A Four Thousand Year History (2009) citing Simon Schaffer article in The Values of Precision (1995) ed. M. Norton Wise

Personality

“In astronomy two characteristics are common to all data on which the solution of the great problems depends. The first is the extreme minuteness of the quantities to be measured. …New epochs were inaugurated in the beginning of the seventeenth century by the invention of the telescope, and in the last third of the nineteenth by the discovery of photography and spectroscopy…. The other characteristic is that astronomy always requires a very large number of data. …These two characteristics of the data that the astronomer requires to build his science on make two things more necessary in astronomy than in any other science: patience and organised coöperation. …The astronomer—each working at his own task…—is always conscious of belonging to a community, whose members, separated in space and time, nevertheless feel joined by a very real tie, almost of kinship. …whatever his special work may be it is always a link in a chain, which derives its value from the fact that there is another link to the left and one to the right of it. It is the chain that is important, not the separate links.”

Willem de Sitter (1872–1934) Dutch cosmologist

Kosmos (1932)

Feeling , Communication , Problem , Science

“Life is more important than art — quantity is only important in that the amount of activity is greater not the number of works.”

Patrick Swift (1927–1983) British artist

Notebooks

Life , Art

“Should there really be suns in the whole infinite space, they can be at approximately the same distance from one another, or distributed over galaxies, hence would be in infinite quantities, and consequently the whole sky should be as bright as the sun. Clearly, each line which can conceivably be drawn from our eye will necessarily end on one of the stars and each point on the sky would send us starlight, that is, sunlight.”

Heinrich Wilhelm Matthäus Olbers (1758–1840) German physician and astronomer

Sind wirklich im ganzen unendlichen Raum Sonnen vorhanden, sie mögen nun in ungefähr gleichen Abständen von einander, oder in Milchstrassen-Systeme vertheilt sein, so wird ihre Menge unendlich, und da müsste der ganze Himmel ebenso hell sein, wie die Sonne. Denn jede Linie, die ich mir von unserm Auge gezogen denken kann, wird nothwendig auf irgend einen Fixstern treffen, und also müßte uns jeder Punkt am Himmel Fixsternlicht, also Sonnenlicht zusenden.
Olbers' paradox, expressed in [Ueber die Durchsichtigkeit des Weltraums, Astronomisches Jahrbuch für das Jahr 1826, J. Bode. Berlin, Späthen 1823, 110-121]

Star , Sun

“We know, that, in the individual man, consciousness grows from a dim glimmer to its full light, whether we consider the infant advancing in years, or the adult emerging from slumber and swoon. We know, further, that the lower animals possess, though less developed, that part of the brain which we have every reason to believe to be the organ of consciousness in man; and as, in other cases, function and organ are proportional, so we have a right to conclude it is with the brain; and that the brutes, though they may not possess our intensity of consciousness, and though, from the absence of language, they can have no trains of thoughts, but only trains of feelings, yet have a consciousness which, more or less distinctly, foreshadows our own. I confess that, in view of the struggle for existence which goes on in the animal world, and of the frightful quantity of pain with which it must be accompanied, I should be glad if the probabilities were in favour of Descartes' hypothesis; but, on the other hand, considering the terrible practical consequences to domestic animals which might ensue from any error on our part, it is as well to err on the right side, if we err at all, and deal with them as weaker brethren, who are bound, like the rest of us, to pay their toll for living, and suffer what is needful for the general good.”

Thomas Henry Huxley (1825–1895) English biologist and comparative anatomist

1870s, On the Hypothesis that Animals are Automata, and Its History (1874)

Pain , World , Error , Feeling

“The significant problems of living organisms are seldom those in which one can rigidly maintain constant all but two variables. Living things are more likely to present situations in which a half-dozen, or even several dozen quantities are all varying simultaneously, and in subtly interconnected ways. Often they present situations in which the essentially important quantities are either non-quantitative, or have at any rate eluded identification or measurement up to the moment. Thus biological and medical problems often involve the consideration of a most complexly organized whole.”

Warren Weaver (1894–1978) American mathematician

Source: Science and Complexity, 1948, p. 536

Way , Problem

“It is traditional in the theory of the firm to define the production opportunity set available to the firm in terms of its boundary -- the maximum attainable set of output quantities for various input quantities, given the state of technology and knowledge. This boundary is the production function of the firm. One of our purposes here is to point out the dependence of such production functions on the structure of property rights and contracting rights within which the firm exists. We redefine the production function in order to recognize the dependence of output on the structure of property and contracting rights. That expanded framework is then used to discuss a concrete set of problems surrounding the role of labor in the firm ranging from the 'labor-managed firm' system (in which tradable capital value residual claims [common stock] are legally prohibited), and the codetermination and industrial democracy movements (in which management participation by labor is required by law), to cooperatives and professional partnerships (i. e., quasi-labor-managed firms which arise out of the voluntary contracting process), and the capitalist corporation.”

Michael Jensen (1939) American economist

Michael C. Jensen and William H. Meckling. "Rights and production functions: An application to labor-managed firms and codetermination." Journal of business (1979): 469-506.

Law , Democracy , Knowledge , Problem

“"Never!" What a strong word! A few modern philosophers seem to lend their moral approval to these deplorable verdicts when they assert that an individual's intelligence is a fixed quantity, a quantity that cannot be increased. We must protest and react against this brutal pessimism. We shall attempt to prove that it is without foundation.”

Alfred Binet (1857–1911) French psychologist and inventor of the first usable intelligence test

Alfred Binet (1909/1975, 105-6), as cited in: B.R. Hergenhahn. An Introduction to the History of Psychology 2009. p. 313
Modern ideas about children, 1909/1975

Intelligence , Strong

“Some of the surveillance was ostensibly devoted to terrorism suspects. But great quantities of the programs manifestly had nothing to do with national security. The documents left no doubt that the NSA was equally involved in economic espionage, diplomatic spying, and suspicionless surveillance aimed at entire populations. Taken in its entirety, the Snowden archive led to an ultimately simple conclusion: the US government had built a system that has as its goal the complete elimination of electronic privacy worldwide. Far from hyperbole, that is the literal, explicitly stated aim of the surveillance state: to collect, store, monitor, and analyze all electronic communication by all people around the globe.”

Glenn Greenwald book No Place to Hide

Penguin Books 2015 edition, page 94.
No Place to Hide (2014)

People , Communication

“Now pray tell me what Time is? …Time (to speak abstractedly) is the continuance of any Thing in its own Being. But some Things continue longer in their Beings than others… Time absolutely… is Quantity, as admitting in some Manner the chief Affections of Quantity: Equality, Inequality, and Proportion…”

Isaac Barrow (1630–1677) English Christian theologian, and mathematician

Geometrical Lectures (1735)

Time

“Socialism, Puritanism, Philistinism, Christianity—he saw them all as allotropic forms of democracy, as variations upon the endless struggle of quantity against quality, of the weak and timorous against the strong and enterprising, of the botched against the fit.”

H.L. Mencken (1880–1956) American journalist and writer

1940s–present, Introduction to Nietzsche's The Antichrist

Democracy , Strong

“We shall here define the market as a set of social institutions in which a large number of commodity exchanges of a specific type regularly take place, and to some extent are facilitated and structured by those institutions. Exchange as defined above, involves contractual agreement and the exchange of property rights, and the market consists in part of mechanisms to structure, organize and legitimate these activities. Markets, in short, are organized and institutionalized exchange. Stress is placed on those market institutions, which help to both regulate and establish a consensus over prices and, more generally, to communicate information regarding products, prices, quantities, potential buyers and potential sellers.”

Geoffrey Hodgson (1946) British economist

Source: Economics and Institutions, 1988, p. 174

Communication , Help , Parting

“We had become so accustomed to think of λ as an essentially positive quantity, and of a finite world with positive curvature, that the idea of investigating the possibility of solutions with negative or zero values of λ and of the curvature simply did not arise. But when this oversight was corrected, it appeared at once that in the non-static case both λ and the curvature need not be positive, but can be negative or zero quite as well.”

Willem de Sitter (1872–1934) Dutch cosmologist

Kosmos (1932), Above is Beginning Quote of the Last Chapter: Relativity and Modern Theories of the Universe -->

World , Idea , Thinking , Appearance

“The reader might reflect that an awful lot of supposing has to take place in order for the quantity theory of money to be true.”

Paul Ormerod book The Death of Economics

Part I, Chapter 5, Mechanistic Modelling, p. 95
The Death of Economics (1994)

Money

“For a rational actor, the information he uses to shape his beliefs is a variable rather than a given. Before deciding how to act, he has to make a preliminary decision concerning the quantity of resources he is prepared to invest in looking for the relevant facts. A general must not attack before he has surveyed the terrain, or a surgeon operate before he has examined the patient. However, they must not delay too long, for then they may be surprised by the enemy’s attack or flight, or by the patient’s death.”

Jon Elster (1940) Norwegian academic

Reason and Rationality (2009)

Death , Decision

“Strictly speaking, the theory of numbers has nothing to do with negative, or fractional, or irrational quantities, as such. No theorem which cannot be expressed without reference to these notions is purely arithmetical: and no proof of an arithmetical theorem, can be considered finally satisfactory if it intrinsically depends upon extraneous analytical theories.”

George Ballard Mathews (1861–1922) British mathematician

Part 1, sect. 1.
Theory of Numbers, 1892

Dependency

“People-problems did not interest her. Data seemed to her a larger, purer, more transcendent quantity than Homo sapiensness. Human-to-human interactions were, effectively, all just politics, and politics bored her.”

Adam Roberts book Jack Glass: The Story of a Murderer

Part 2, Chapter 4, “The Mystery of the Champagne Supernovae” (p. 122).
Jack Glass (2012)

People , Problem

“The moral elements are among the most important in war. They constitute the spirit that permeates war as a whole, and at an early stage they establish a close affinity with the will that moves and leads a whole mass of force, practically merging with it, since the will is itself a moral quantity. Unfortunately they will not yield to academic wisdom. They cannot be classified or counted. They have to be seen or felt. … It is paltry philosophy if in the old-fashioned way one lays down rules and principles in total disregard of moral values. As soon as these appear one regards them as exceptions, which gives them a certain scientific status, and thus makes them into rules. Or again one may appeal to genius, which is above all rules; which amounts to admitting that rules are not only made for idiots, but are idiotic in themselves.”

Carl von Clausewitz book On War

Ch 3 : Moral Factors, as translated by Michael Howard and Peter Paret.
On War (1832), Book 3

Wisdom , War , Way , Fashion

“Some of these quantities refer directly to a point of time. That is true of "capital value" as also of such quantities as demand and supply prices. Other terms – as e. g. "income", "revenue", "return", "expenses", "savings", "investments" – imply, however, a time period for which they are reckoned. But in order to be unambiguous they must also refer to a point of time at which they are calculated.”

Gunnar Myrdal (1898–1987) Swedish economist

Source: Monetary Equilibrium (1939), p. 46-7

Time

“On symbolic use of equalities and proportions. Chapter II.
The analytical method accepts as proven the most famous [ as known from Euclid ] symbolic use of equalities and proportions that are found in items such as:
1. The whole is equal to the sum of its parts.
2. Quantities being equal to the same quantity have equality between themselves. [a = c & b = c => a = b]
3. If equal quantities are added to equal quantities the resulting sums are equal.
4. If equals are subtracted from equal quantities the remains are equal.
5. If equal equal amounts are multiplied by equal amounts the products are equal.
6. If equal amounts are divided by equal amounts, the quotients are equal.
7. If the quantities are in direct proportion so also are they are in inverse and alternate proportion. [a:b::c:d=>b:a::d:c & a:c::b:d]
8. If the quantities in the same proportion are added likewise to amounts in the same proportion, the sums are in proportion. [a:b::c:d => (a+c):(b+d)::c:d]
9. If the quantities in the same proportion are subtracted likewise from amounts in the same proportion, the differences are in proportion. [a:b::c:d => (a-c):(b-d)::c:d]
10. If proportional quantities are multiplied by proportional quantities the products are in proportion. [a:b::c:d & e:f::g:h => ae:bf::cg:dh]
11. If proportional quantities are divided by proportional quantities the quotients are in proportion. [a:b::c:d & e:f::g:h => a/e:b/f::c/g:d/h]
12. A common multiplier or divisor does not change an equality nor a proportion. [a:b::ka:kb & a:b::(a/k):(b/k)]
13. The product of different parts of the same number is equal to the product of the sum of these parts by the same number. [ka + kb = k(a+b)]
14. The result of successive multiplications or divisions of a magnitude by several others is the same regardless of the sequential order of quantities multiplied times or divided into that magnitude.
But the masterful symbolic use of equalities and proportions which the analyst may apply any time is the following:
15. If we have three or four magnitudes and the product of the extremes is equal to the product means, they are in proportion. [ad=bc => a:b::c:d OR ac=b2 => a:b::b:c]
And conversely
10. If we have three or four magnitudes and the first is to the second as the second or the third is to the last, the product of the extremes is equal to that of means. [a:b::c:d => ad=bc OR a:b::b:c => ac=b2]
We can call a proportion the establishment of an equality [equation] and an equality [equation] the resolution of a proportion.”

François Viète (1540–1603) French mathematician

From Frédéric Louis Ritter's French Tr. Introduction à l'art Analytique (1868) utilizing Google translate with reference to English translation in Jacob Klein, Greek Mathematical Thought and the Origin of Algebra (1968) Appendix
In artem analyticem Isagoge (1591)

Change , Time , Success , Parting

“Sheer visual quantity evokes the magical resonance of the tribal hoard. The box office looms as a return to the echo chamber of bardic incantation.”

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. 288

Box

“Measurements which may be made on the surface of the earth… is an example of a 2-dimensional congruence space of positive curvature K = \frac{1}{R^2}… [C]onsider… a "small circle" of radius r (measured on the surface!)… its perimeter L and area A… are clearly less than the corresponding measures 2\pi r and \pi r^2… in the Euclidean plane. …for sufficiently small r (i. e., small compared with R) these quantities on the sphere are given by 1):L = 2 \pi r (1 - \frac{Kr^2}{6} + …),
A = \pi r^2”

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

1 - \frac{Kr^2}{12} + …
Geometry as a Branch of Physics (1949)

“The lions had come into the plateau in great quantities and the herds of little pigs dwindled fast. Those the lions spared, Kane slew, and tossed to the jackals. This racked Kane's heart, for he was a kindly man and this wholesale slaughter, even of pigs who would fall prey to hunting beasts anyhow, grieved him. But it was part of his plan of vengeance and he steeled his heart.”

Robert E. Howard (1906–1936) American author

"Wings in the Night" (1932)

Heart , Parting

“In March 1879 Clifford died at Madeira; six years afterwards a posthumous work is for the first time placed before the public. …The original work as planned by Clifford was to have been entitled The First Principles of the Mathematical Sciences Explained to the Non-Mathematical, and to have contained six chapters, on Number, Space, Quantity, Position, Motion, and Mass respectively. Of the projected work Clifford in the year 1875 dictated the chapters on Number and Space completely, the first portion of the chapter on Quantity, and somewhat later nearly the entire chapter on Motion. The first two chapters were afterwards seen by him in proof, but never finally revised. Shortly before his death he expressed a wish that the book should only be published after very careful revision and that its title should be changed to The Common Sense of the Exact Sciences.”

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

Preface by Karl Pearson
The Common Sense of the Exact Sciences (1885)

Death , Books , Mathematics , Sense

“As Magnitudes themselves are absolute Quantums Independent on all Kinds of Measure, tho' indeed we cannot tell what their Quantify is, unless we measure them; so Time is likewise a Quantum in itself, tho' in Order to find the Quantity of it, we are obliged to call in Motion to our Assistance as a Measure… and thus Time as measurable signifies Motion; for if all Things were to continue at Rest, it would be impossible to find out by any Method whatsoever how much Time has elaps'd; and the several Ages wou'd roll on imperceptibly and undistinguish'd. Do I say we shou'd not perceive how Time flows? No indeed, nor any Thing else, but remain like Stocks or Stones in a continual Insensibility. We perceive nothing, unless so far as we may be instigated by some Change affecting the Senses, or that our Souls are mov'd and excited by the internal Operation of the Mind. We esteem the Quantities and different Degrees of Things according to the Extension or Intension of Motions striking upon us either interiorly or exteriorly. So that the Quantity of Time so far as we can observe; depends upon the Extension of Motion.”

Isaac Barrow (1630–1677) English Christian theologian, and mathematician

p, 125
Geometrical Lectures (1735)

Age , Soul , Sense , Change

“Nothing in life is certain except death, taxes and the second law of thermodynamics. All three are processes in which useful or accessible forms of some quantity, such as energy or money, are transformed into useless, inaccessible forms of the same quantity. That is not to say that these three processes don't have fringe benefits: taxes pay for roads and schools; the second law of thermodynamics drives cars, computers and metabolism; and death, at the very least, opens up tenured faculty positions.”

Seth Lloyd (1960) American engineer

Nature 430, 971 (26 August 2004); doi:10.1038/430971a

Life , Death , Money , School

“Mr. Malthus says, " It has been justly observed by Adam Smith that no equal quantity of productive labour employed in manufactures can ever occasion so great a reproduction as in agriculture. " If Adam Smith speaks of value, he is correct; but if he speaks of riches, which is the important point, he is mistaken; for he has himself defined riches to consist of the necessaries, conveniences, and enjoyments of human life. One set of necessaries and conveniences admits of no comparison with another set; value in use cannot be measured by any known standard; it is differently estimated by different persons.”

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

Source: The Principles of Political Economy and Taxation (1821) (Third Edition), Chapter XXXII, Malthus on Rent, p. 292

Life , Personality

“Quality before quantity any day. Build up with the best. What does it matter if it is a hundred years, or two hundred years, or more, before your country is full? Keep the stock you have, and the men and women you have, and see that the coming generations are in no way inferior to them.”

Stanley Baldwin (1867–1947) Former Prime Minister of the United Kingdom

Speech to the Canada Club, London (21 November 1927), quoted in Our Inheritance (London: Hodder and Stoughton, 1938), p. 141.
1927
Context: Your country is a country for men from the North, the hardy virile races. Quality before quantity any day. Build up with the best. What does it matter if it is a hundred years, or two hundred years, or more, before your country is full? Keep the stock you have, and the men and women you have, and see that the coming generations are in no way inferior to them.

Women , Men , Way , Country

“The principle itself of dogmatic religion, dogmatic morality, dogmatic philosophy, is what requires to be rooted out; not any particular manifestation of that principle. The very corner-stone of an education intended to form great minds, must be the recognition of the principle, that the object is to call forth the greatest possible quantity of intellectual power, and to inspire the intensest love of truth”

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

""Civilization,"" London and Westminster Review (April 1836)
Context: The principle itself of dogmatic religion, dogmatic morality, dogmatic philosophy, is what requires to be rooted out; not any particular manifestation of that principle. ¶ The very corner-stone of an education intended to form great minds, must be the recognition of the principle, that the object is to call forth the greatest possible quantity of intellectual power, and to inspire the intensest love of truth: and this without a particle of regard to the results to which the exercise of that power may lead, even though it should conduct the pupil to opinions diametrically opposite to those of his teachers. We say this, not because we think opinions unimportant, but because of the immense importance which we attach to them; for in proportion to the degree of intellectual power and love of truth which we succeed in creating, is the certainty that (whatever may happen in any one particular instance) in the aggregate of instances true opinions will be the result; and intellectual power and practical love of truth are alike impossible where the reasoner is shown his conclusions, and informed beforehand that he is expected to arrive at them.

Love , Truth , Education , Religion

“Inflation is always and everywhere a monetary phenomenon in the sense that it is and can be produced only by a more rapid increase in the quantity of money than in output.”

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

The Counter-Revolution in Monetary Theory (1970) <!-- ([[w:Institute of Economic Affairs
Context: Inflation is always and everywhere a monetary phenomenon in the sense that it is and can be produced only by a more rapid increase in the quantity of money than in output. … A steady rate of monetary growth at a moderate level can provide a framework under which a country can have little inflation and much growth. It will not produce perfect stability; it will not produce heaven on earth; but it can make an important contribution to a stable economic society.

Money , Sense

“Even today, there persists… a feeling that the creation of the Universe out of nothing must violate some basic conservation law that stops one from getting something for nothing. Nevertheless, there is actually no evidence that the Universe as a whole possesses a non-zero value of any such conserved quantity. The total mass-energy of all the constituents of a finite Universe appears to be always equal in magnitude but opposite in sign to the total gravitational potential energies of those particles. …Similarly, there is no evidence that the Universe possesses any overall net rotation or electric charge.”

John D. Barrow (1952–2020) British scientist

New Theories of Everything (2007)

Law , Feeling , Universe , Appearance

“He shewed me a little thing, the quantity of an hazel-nut, in the palm of my hand; and it was as round as a ball. I looked thereupon with eye of my understanding, and thought: What may this be? And it was answered generally thus: It is all that is made.”

Julian of Norwich (1342–1416) English theologian and anchoress

The First Revelation, Chapter 5
Context: He shewed me a little thing, the quantity of an hazel-nut, in the palm of my hand; and it was as round as a ball. I looked thereupon with eye of my understanding, and thought: What may this be? And it was answered generally thus: It is all that is made. I marvelled how it might last, for methought it might suddenly have fallen to naught for little. And I was answered in my understanding: It lasteth, and ever shall for that God loveth it. And so All-thing hath the Being by the love of God.

Understanding

“The quantity of energy that ceased to "fall in" is the system's entropy.”

Buckminster Fuller (1895–1983) American architect, systems theorist, author, designer, inventor and futurist

130.01 http://www.rwgrayprojects.com/synergetics/s01/p3000.html
1970s, Synergetics: Explorations in the Geometry of Thinking (1975), "Synergy" onwards
Context: Critical proximity occurs where there is angular transition from "falling back in" at 180-degree to 90-degree orbiting—which is precession. (Gravity may be described as "falling back in" at 180 degrees.) The quantity of energy that ceased to "fall in" is the system's entropy. Critical proximity is when it starts either "falling in" or going into orbit, which is the point where either entropy or antientropy begins. An aggregate of "falling ins" is a body. What we call an object or an entity is always an aggregate of interattracted entities; it is never a solid. And the critical proximity transition from being an aggregate entity to being a plurality of separate entities is precession, which is a "peeling off" into orbit rather than falling back in to the original entity aggregate. This explains entropy intimately.

“What we have to do is make progress in the quality of connection between people, not the quantity of consumption.”

Larry Harvey (1948–2018) Founder of Burning Man

"The Wonderful, Weird Economy of Burning Man" in The Atlantic (18 August 2014) https://www.theatlantic.com/business/archive/2014/08/the-wonderful-weird-economics-of-burning-man/376108/
Context: We don’t think the world can be Woodstock … Who’d think the world could be a perpetual carnival? But we do think that the world could rediscover values that used to be automatically produced by culture but aren’t anymore because culture is subject to the commodification in our world. Everything is sold back to us, targeted to demographics. What we have to do is make progress in the quality of connection between people, not the quantity of consumption.

People

Quotes about quantity page 4

Quotes about quantity
page 4