Quotes about quantity (445 quotes, page 5)

“Of things said without any combination, each signifies either substance or quantity or qualification or a relative or where or when or being-in-a-position or having or doing or being affected. To give a rough idea, examples of substance are man, horse; of quantity: four-foot, five-foot; of qualification: white, grammatical; of a relative: double, half, larger; of where: in the Lyceum, in the market-place; of when: yesterday, last-year; of being-in-a-position: is-lying, is sitting; of having: has-shoes-on, has-armour-on; of doing: cutting, burning; of being-affected: being-cut, being-burned.”

Aristotle book Categories

1b25-2a10; J. L. Ackrill (tr.), 1984-1995
Categories

Shoe , Lying , Idea , Horse

“Oh, if in this man, whose eyes can flash Heaven's lightning, and make all Calibans into a cramp, there dwelt not, as the essence of his very being, a God's justice, human Nobleness, Veracity and Mercy,—I should tremble for the world. But his strength, let us rejoice to understand, is even this: The quantity of Justice, of Valour and Pity that is in him. To hypocrites and tailored quacks in high places, his eyes are lightning; but they melt in dewy pity softer than a mother's to the downpressed, maltreated; in his heart, in his great thought, is a sanctuary for all the wretched.”

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

1840s, Past and Present (1843)
Context: Thou, O World, how wilt thou secure thyself against this man? Thou canst not hire him by thy guineas; nor by thy gibbets and law-penalties restrain him. He eludes thee like a Spirit. Thou canst not forward him, thou canst not hinder him. Thy penalties, thy poverties, neglects, contumelies: behold, all these are good for him. Come to him as an enemy; turn from him as an unfriend; only do not this one thing,—infect him not with thy own delusion: the benign Genius, were it by very death, shall guard him against this!—What wilt thou do with him? He is above thee, like a god. Thou, in thy stupendous three-inch pattens, art under him. He is thy born king, thy conqueror and supreme lawgiver: not all the guineas and cannons, and leather and prunella, under the sky can save thee from him. Hardest thickskinned Mammon-world, ruggedest Caliban shall obey him, or become not Caliban but a cramp. Oh, if in this man, whose eyes can flash Heaven's lightning, and make all Calibans into a cramp, there dwelt not, as the essence of his very being, a God's justice, human Nobleness, Veracity and Mercy,—I should tremble for the world. But his strength, let us rejoice to understand, is even this: The quantity of Justice, of Valour and Pity that is in him. To hypocrites and tailored quacks in high places, his eyes are lightning; but they melt in dewy pity softer than a mother's to the downpressed, maltreated; in his heart, in his great thought, is a sanctuary for all the wretched.

God , World , Justice , Understanding

“A certain immense aggregate of operations, is subservient to the production of the commodities useful and agreeable to man. It is of the highest importance that this aggregate should be divided into portions, consisting, each, of as small a number of operations as possible, in order that every operation may be the more quickly and perfectly, performed. If each man could, by the more frequent repetition thus occasioned, perform two of these operations, instead of one, and also perform each of them better, the powers of the community, in producing articles useful and agreeable to them, would, upon this supposition, be more than doubled. Not only would they be doubled in quantity, but a great advantage would be gained in point of quality.
This subject has been fully illustrated by Dr. Smith, in the first chapter of the first book of the "Inquiry into the Nature and Causes of the Wealth of Nations," where the extraordinary effect of the division of labour in increasing its productive powers, in the more complicated cases, is displayed in some very remarkable instances. He states that a boy, who has been accustomed to make nothing but nails, can make-upwards of two thousand three hundred in a day; while a common blacksmith, whose operations are nevertheless so much akin to those of the nailer, cannot make above three hundred, and those very bad ones.”

James Mill (1773–1836) Scottish historian, economist, political theorist and philosopher

Ch 1 : Production
Elements of Political Economy (1821)

Books , Boy , Communication , Nature

“If the land was divided among all the inhabitants of a country, so that each of them possessed precisely the quantity necessary for his support, and nothing more; it is evident that all of them being equal, no one would work for another.”

Anne Robert Jacques Turgot (1727–1781) French economist

§ 1
Reflections on the Formation and Distribution of Wealth (1766)
Context: If the land was divided among all the inhabitants of a country, so that each of them possessed precisely the quantity necessary for his support, and nothing more; it is evident that all of them being equal, no one would work for another. Neither would any of them possess wherewith to pay another for his labour, for each person having only such a quantity of land as was necessary to produce a subsistence, would consume all he should gather, and would not have any thing to give in exchange for the labour of others.

Support , Country

“Quantities defined in terms of measurements made at the end of the period in question are referred to as ex post; quantities defined in terms of action planned at the beginning of the period in question are referred to as .”

Gunnar Myrdal (1898–1987) Swedish economist

Source: Monetary Equilibrium (1939), p. 34
Context: An important distinction exists between prospective and retrospective methods of calculating economic quantities such as incomes, savings, and investments; and... a corresponding distinction of great theoretical importance must be drawn between two alternative methods of defining these quantities. Quantities defined in terms of measurements made at the end of the period in question are referred to as ex post; quantities defined in terms of action planned at the beginning of the period in question are referred to as.

Question

“Hence the Public has the Right of Regulating Descents & all other Conveyances of Property, and even of limiting the Quantity & the Uses of it.”

Benjamin Franklin (1706–1790) American author, printer, political theorist, politician, postmaster, scientist, inventor, civic activist, …

Letter http://www.franklinpapers.org/franklin/framedVolumes.jsp to Robert Morris (25 December 1783).
Epistles
Context: All Property indeed, except the Savage’s temporary Cabin, his Bow, his Matchcoat, and other little Acquisitions absolutely necessary for his Subsistence, seems to me to be the Creature of publick Convention. Hence the Public has the Right of Regulating Descents & all other Conveyances of Property, and even of limiting the Quantity & the Uses of it. All the Property that is necessary to a Man for the Conservation of the Individual & the Propagation of the Species, is his natural Right which none can justly deprive him of: But all Property of the Publick, who by their Laws have created it, and who may therefore by other Laws dispose of it, whenever the Welfare of the Publick shall demand such Disposition. He that does not like civil Society on these Terms, let him retire & live among Savages. — He can have no right to the Benefits of Society who will not pay his Club towards the Support of it.

“Kekulé dreams the Great Serpent holding its own tail in its mouth, the dreaming Serpent which surrounds the World. But the meanness, the cynicism with which this dream is to be used. The Serpent that announces, "The World is a closed thing, cyclical, resonant, eternally-returning," is to be delivered into a system whose only aim is to violate the Cycle. Taking and not giving back, demanding that "productivity" and "earnings" keep on increasing with time, the System removing from the rest of the World these vast quantities of energy to keep its own tiny desperate fraction showing a profit: and not only most of humanity — most of the World, animal, vegetable, and mineral, is laid waste in the process.”

Thomas Pynchon book Gravity's Rainbow

Gravity's Rainbow (1973)
Context: Kekulé dreams the Great Serpent holding its own tail in its mouth, the dreaming Serpent which surrounds the World. But the meanness, the cynicism with which this dream is to be used. The Serpent that announces, "The World is a closed thing, cyclical, resonant, eternally-returning," is to be delivered into a system whose only aim is to violate the Cycle. Taking and not giving back, demanding that "productivity" and "earnings" keep on increasing with time, the System removing from the rest of the World these vast quantities of energy to keep its own tiny desperate fraction showing a profit: and not only most of humanity — most of the World, animal, vegetable, and mineral, is laid waste in the process. The System may or may not understand that it's only buying time. And that time is an artificial resource to being with, of no value to anyone or anything but the System, which must sooner or later crash to its death, when its addiction to energy has become more than the rest of the World can supply, dragging with it innocent souls all along the chain of life.

World , Dreams , Time , Animals

“If any one now will consider the magnitude of the forces to be obtained in this way, and the trifling expense at which a sufficient quantity of fuel can be procured, he will certainly admit that this my method is far preferable to the use of gunpowder”

Denis Papin (1647–1713) French physicist, mathematician and inventor

"A New Method of Obtaining Very Great Moving Powers at Small Cost" (1690)
Context: AA is a tube of uniform diameter throughout, close shut at the bottom; BB is a piston fitted to the tube; DD a handle fixed to the piston; EE an iron rod moveable round an axis in F; G a spring, pressing the cross rod EE, so that the said rod must be forced into the groove H as soon as the piston with the handle has arrived at such a height as that the said groove H appears above the lid II; L is a little hole in the piston, through which the air can escape from the bottom of the tube AA, when first the piston is forced into it. The use of this instrument is as follows: A small quantity of water is poured into the tube AA; to the depth of 3 or 4 lines; then the piston is inserted, and forced down to the bottom, till a portion of the water previously poured in comes through the hole L; then the said hole is closed by the rod MM. Next the lid II, pierced with the apertures requisite for that purpose, is put on, and a moderate fire being applied, the tube AA soon grows warm, (being made of thin metal), and the water within it, being turned into steam, exerts a pressure so powerful as to overcome the weight of the atmosphere and force up the piston BB, till the groove H of the handle DD appears above the lid II, and the rod EE is forced, with some noise, into the said groove by the spring G. Then forthwith the fire is to be removed, and the steam in the thin metal tube is soon resolved into water, and leaves the tube entirely void of air. Next, the rod EE being turned round so far as to come out of the groove H, and allow the handle DD to descend, the piston BB is forthwith pressed down by the whole weight of the atmosphere, and causes the intended movement, which is of an energy great in proportion to the size of the tube. Nor is it to be doubted that the whole weight of the atmosphere exerts its force in tubes so constructed; for I have established by experiment, that a piston, raised to the top of the tube by the force of heat, shortly afterwards descends again to the bottom, and so on alternately for a number of times, so that no suspicion can arise of air pressing beneath. Now my tube, the diameter of which does not exceed 2 ½ inches, yet raises sixty lbs. aloft with the same velocity as the piston is forced down into the tube, and the tube itself scarcely weighs five ounces. I therefore have little doubt but that tubes may be manufactured, the weight of each of which would scarcely amount to 40 lbs., and yet which could raise, at each operation, two thousand lbs. to a height of four feet.... If any one now will consider the magnitude of the forces to be obtained in this way, and the trifling expense at which a sufficient quantity of fuel can be procured, he will certainly admit that this my method is far preferable to the use of gunpowder above spoken of, especially as in this way a perfect vacuum is obtained, and so the inconveniences above recounted are avoided.

Way

“By the help of God and with His precious assistance, I say that Algebra is a scientific art. The objects with which it deals are absolute numbers and measurable quantities which, though themselves unknown, are related to "things" which are known, whereby the determination of the unknown quantities is possible.”

Omar Khayyám (1048–1131) Persian poet, philosopher, mathematician, and astronomer

Treatise on Demonstration of Problems of Algebra (1070).
Context: By the help of God and with His precious assistance, I say that Algebra is a scientific art. The objects with which it deals are absolute numbers and measurable quantities which, though themselves unknown, are related to "things" which are known, whereby the determination of the unknown quantities is possible. Such a thing is either a quantity or a unique relation, which is only determined by careful examination. What one searches for in the algebraic art are the relations which lead from the known to the unknown, to discover which is the object of Algebra as stated above. The perfection of this art consists in knowledge of the scientific method by which one determines numerical and geometric unknowns.

God , Art , Help

“Number is limited multitude or a combination of units or a flow of quantity made up of units; and the first division of number is even and odd.”

Nicomachus (60–120) Ancient Greek mathematician

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

“In any given society the Remnant are always so largely an unknown quantity.”

Albert Jay Nock (1870–1945) American journalist

Source: Isaiah's Job (1936), IV
Context: In any given society the Remnant are always so largely an unknown quantity. You do not know, and will never know, more than two things about them. You can be sure of those — dead sure, as our phrase is — but you will never be able to make even a respectable guess at anything else. You do not know, and will never know, who the Remnant are, nor what they are doing or will do. Two things you do know, and no more: First, that they exist; second, that they will find you. Except for these two certainties, working for the Remnant means working in impenetrable darkness; and this, I should say, is just the condition calculated most effectively to pique the interest of any prophet who is properly gifted with the imagination, insight and intellectual curiosity necessary to a successful pursuit of his trade.

“Freedom is a dangerous intoxicant and very few people can tolerate it in any quantity”

Katherine Anne Porter (1890–1980) American journalist, essayist, short story writer, novelist, and political activist

The Never-Ending Wrong (1977)
Context: Anarchy had been a word of fear in many countries for a long time, nowhere more so than in this one; nothing in that time, not even the word "Communism," struck such terror, anger, and hatred into the popular mind; and nobody seemed to understand exactly what Anarchy as a political idea meant any more than they understood Communism, which has muddied the waters to the point that it sometimes calls itself Socialism, at other times Democracy, or even in its present condition, the Republic. Fascism, Nazism, new names for very ancient evil forms of government — tyranny and dictatorship — came into fashion almost at the same time with Communism; at least the aims of those two were clear enough; at least their leaders made no attempt to deceive anyone as to their intentions. But Anarchy had been here all the nineteenth century, with its sinister offspring Nihilism, and it is a simple truth that the human mind can face better the most oppressive government, the most rigid restrictions, than the awful prospect of a lawless, frontierless world. Freedom is a dangerous intoxicant and very few people can tolerate it in any quantity; it brings out the old raiding, oppressing, murderous instincts; the rage for revenge, for power, the lust for bloodshed. The longing for freedom takes the form of crushing the enemy — there is always the enemy! — into the earth; and where and who is the enemy if there is no visible establishment to attack, to destroy with blood and fire? Remember all that oratory when freedom is threatened again. Freedom, remember, is not the same as liberty.

People , Freedom

“Since of quantity, one kind is viewed by itself, having no relation to anything else”

Nicomachus (60–120) Ancient Greek mathematician

Nicomachus of Gerasa: Introduction to Arithmetic (1926)
Context: Since of quantity, one kind is viewed by itself, having no relation to anything else, as 'even,' 'odd,' 'perfect,' and the like, and the other is relative to something else, and is conceived of together with its relationship to another thing, like' double,', greater,' 'smaller,' 'half,' 'one and one-half times,' 'one and one-third times,' and so forth, it is clear that two scientific methods will lay hold of and deal with the whole investigation of quantity: arithmetic, [with] absolute quantity; and music, [with] relative quantity.<!--Book I, Chapter III, p.184

“Matter… could be measured as a quantity and… its characteristic expression as a substance was the Law of Conservation of Matter… This, which has hitherto represented our knowledge of space and matter, and which was in many quarters claimed by philosophers as a priori knowledge, absolutely general and necessary, stands to-day a tottering structure.”

Hermann Weyl (1885–1955) German mathematician

Introduction
Space—Time—Matter (1952)
Context: The Greeks made Space the subject-matter of a science of supreme simplicity and certainty. and certainty Out of it grew, in the mind of classical antiquity, the idea of pure science. Geometry became one of the most powerful expressions of that sovereignty of the intellect that inspired the thought of those times. At a later epoch, when the intellectual despotism of the Church... had crumbled, and a wave of scepticism threatened to sweep away all that had seemed most fixed, those who believed in Truth clung to Geometry as to a rock, and it was the highest ideal of every scientist to carry on his science "more geometrico". Matter... could be measured as a quantity and... its characteristic expression as a substance was the Law of Conservation of Matter... This, which has hitherto represented our knowledge of space and matter, and which was in many quarters claimed by philosophers as a priori knowledge, absolutely general and necessary, stands to-day a tottering structure.

Law , Knowledge

“Bands of men, masked and armed, made their appearance; White Leagues and other societies were formed; large quantities of arms and ammunition were imported and distributed to these organizations; military drills, with menacing demonstrations, were held, and with all these murders enough were committed to spread terror among those whose political action was to be suppressed, if possible, by these intolerant and criminal proceedings.”

Ulysses S. Grant (1822–1885) 18th President of the United States

1870s, Sixth State of the Union Address (1874)
Context: I regret to say that with preparations for the late election decided indications appeared in some localities in the Southern States of a determination, by acts of violence and intimidation, to deprive citizens of the freedom of the ballot because of their political opinions. Bands of men, masked and armed, made their appearance; White Leagues and other societies were formed; large quantities of arms and ammunition were imported and distributed to these organizations; military drills, with menacing demonstrations, were held, and with all these murders enough were committed to spread terror among those whose political action was to be suppressed, if possible, by these intolerant and criminal proceedings.

Men , Appearance

“Beauty is composed of an eternal, invariable element whose quantity is extremely difficult to determine, and a relative element which might be, either by turns or all at once, period, fashion, moral, passion.”

Jean-Luc Godard (1930) French-Swiss film director, screenwriter and film critic

Source:"Defence and Illustration of Classical Construction," Cahiers du Cinéma (Paris, Sept. 15, 1952).
Cited in: Fayek S. Hourani, Daily Bread for Your Mind and Soul: A Handbook of Transcultural Proverb and Sayings https://books.google.nl/books?id=ASN8DVH2AgYC&pg=PA169&lpg=PA169&dq=%22Beauty+is+composed+of+an+eternal,+invariable+element+whose+quantity+is+extremely+difficult+to+determine%22&source=bl&ots=JwrnY2eVbL&sig=1XbUReB25BMZsF5sXNTPqHqhwJU&hl=nl&sa=X&ved=0ahUKEwiMjZS2rJ_LAhUqGZoKHfIWBvMQ6AEIOzAE#v=onepage&q=%22Beauty%20is%20composed%20of%20an%20eternal%2C%20invariable%20element%20whose%20quantity%20is%20extremely%20difficult%20to%20determine%22&f=false, 2012, p. 169

Beauty , Fashion , Passion

“The physical properties of fluid media, as regards change of state, and as regards capillary phenomena, have been closely illustrated in theory by consideration of a model medium, subject to internal expansive pressure, of kinetic or other origin, which is counteracted by the contractive effect of mutual attraction between its molecules—the latter force extending through much the greater, though for ordinary purposes still insensible, range. For liquids, the difference between these two much larger quantities, of different types, constitutes the transmitted hydrostatic pressure.”

Joseph Larmor (1857–1942) Irish physicist and mathematician

[The transition from vapour to liquid when the range of the molecular attraction is sensible, Proceedings of the London Mathematical Society, 15, 2, 13 January 1916, 182–191, https://babel.hathitrust.org/cgi/pt?id=njp.32101044953782;view=1up;seq=242] (p. 182)

Change

“When a body is let fall from a higher position to lower one, it has, at the instant when it is let go, energy of motion; but it gains, in falling, as much energy of motion as it loses energy of position. It is found that the sum of energy of motion and energy of position is always constant. ...Energy is a quantity which can be greater or less but has no direction. ...This constancy is expressed by including them in common name of Energy, and saying that energy is conserved, or is indestructible. This form of speech might be applied to other cases of alternate immortality, where one of two things comes into existence on disappearance of the other.”

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

"Energy and Force" (Mar 28, 1873)

“Momentum may be roughly described as quantity motion. A body moving at a speed of say twenty an hour, has a certain quantity of motion. If the body goes forty miles an hour there is twice as motion; or if twice as much matter goes twenty miles hour, there is also twice as much motion. Momentum is measured by the quantity of matter moving at a rate mass \times velocity.”

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

"Energy and Force" (Mar 28, 1873)

Time , Speed

“The universe is a variable quantity, which depends upon the keenness and structure of our organs of sense, and upon the fineness of our powers and instruments of observation.”

Karl Pearson book The Grammar of Science

Introductory
The Grammar of Science (1900)

Sense , Dependency , Universe

“The purpose of the mathematical theory of statistics is to deal with the relationship between 2 or more variable quantities without assuming that one is a single-valued mathematical function of the rest. The statistician does not think a certain x will produce a single-valued y; not a causative relation but a correlation. The relationship between x and y will be somewhere within a zone and we have to work out the probability that the point (x,y) will lie in different parts of that zone. The physicist is limited and shrinks the zone into a line. Our treatment will fit all the vagueness of biology, sociology, etc. A very wide science.”

Karl Pearson (1857–1936) English mathematician and biometrician

As quoted by E.S. Pearson, Karl Pearson: An Appreciation of Some Aspects of his Life and Work (1938) and cited in Bernard J. Norton, "Karl Pearson and Statistics: The Social Origins of Scientific Innovation" in Social Studies of Science, Vol. 8, No. 1, Theme Issue: Sociology of Mathematics (Feb.,1978), pp. 3-34.

Lie , Thinking , Mathematics , Relation ships

“It remains a real world if there is a background to the symbols — an unknown quantity which the mathematical symbol x stands for. We think we are not wholly cut off from this background. It is to this background that our own personality and consciousness belong, and those spiritual aspects of our nature not to be described by any symbolism … to which mathematical physics has hitherto restricted itself.”

Arthur Stanley Eddington (1882–1944) British astrophysicist

Science and the Unseen World (1929)

Personality , Nature , Thinking , Mathematics

“Indeed, the most urgent, the most essential task is the education of children and youth... It is usually customary to confuse education with upbringing, but it is time to understand that school education, as it is established in most cases, not only does not contribute to the moral upbringing of youth, but acts inversely. In the Anglo-Saxon countries the schools are occupied mainly with the physical development of youth to the detriment of their mental development. But the excessive enthusiasm for sports leads to the coarsening of character, to mental degeneration, and to new diseases. True, not much better is the situation in home education under the conditions of the modern family. Therefore, it is time to pay most serious attention to the grave and derelict situation of children and youth from the moral point of view. Many lofty concepts are completely out of habitual use, having been replaced by everyday formulas for the easy achievement of the most vulgar comforts and status...The program of education is as broad as life itself. The possibilities for improvement are inexhaustible...We are on the eve of a new approach to and reconstruction of the entire school education... The quantity and speed of new discoveries in all domains of science grow so rapidly that soon contemporary school education will not be able to walk in step with and respond to the new attainments and demands of the time; new methods in the entire system of education will have to be devised...”

Helena Roerich (1879–1955) Russian philosopher

19 April 1938

Sport , Home , Family , School

“The prejudices of the second species, since they impose upon the intellect by the sensual conditions restricting the mind if it wishes in certain cases to attain to what is intellectual, lurk more deeply. One of them is that which affects knowledge of quantity, the other that affecting knowledge of qualities generally. The former is: every actual multiplicity can be given numerically, and hence, every infinite quantity; the latter, whatever is impossible contradicts itself. In either of them the concept of time, it is true, does not enter into the very notion of the predicate, nor is it attributed as a qualification to the subject. But yet it serves as a means for forming an idea of the predicate, and thus, being a condition, affects the intellectual concept of the subject to the extent that the latter is only attained by its aid.”

Immanuel Kant (1724–1804) German philosopher

Kant's Inaugural Dissertation (1770), Section V On The Method Respecting The Sensuous And The Intellectual In Metaphysics

Knowledge , Idea , Time

“I hope there are none of you, corrupted with the doctrine taught by wicked men for the worst purposes, and received by the malignant credulity of envy and ignorance, which is, that the men who act upon the public stage are all alike; all equally corrupt; all influenced by no other views than the sordid lure of salary and pension. The thing, I know by experience to be false. Never expecting to find perfection in men, and not looking for divine attributes in created beings, in my commerce with my contemporaries, I have found much human virtue. I have seen not a little public spirit; a real subordination of interest to duty; and a decent and regulated sensibility to honest fame and reputation. The age unquestionably produces (whether in a greater or less number than former times, I know not) daring profligates and insidious hypocrites. What then? Am I not to avail myself of whatever good is to be found in the world, because of the mixture of evil that will always be in it? The smallness of the quantity in currency only heightens the value. They, who raise suspicions on the good on account of the behaviour of ill men, are of the party of the latter.”

Edmund Burke (1729–1797) Anglo-Irish statesman

Letter to the Sheriffs of Bristol (1777)

Time , Hope , Perfection , Falseness

“Aristotle believed that the world did not come into being at some time in the past; it had always existed and it would always exist, unchanged in essence for ever. He placed a high premium on symmetry and believed that the sphere was the most perfect of all shapes. Hence the universe must be spherical. …An important feature of the spherical shape… was the fact that when a sphere rotates it does not cut into empty space where there is no matter and it leaves no empty space behind. …A vacuum was impossible. It could no more exist than an infinite physical quantity. …Circular motion was the most perfect and natural movement of all.”

John D. Barrow (1952–2020) British scientist

The Book of Universes: Exploring the Limits of the Cosmos (2011)

Time , Past , Nature , Universe

“He gave more elegant rules for the sum of the squares and cubes of an initial segment of the positive integers. The sixth part of the product of three quantities consisting of the number of terms, the number of terms plus one, and twice the number of terms plus one is the sum of the squares. The square of the sum of the series is the sum of the cubes.”

Aryabhata (476–550) Indian mathematician-astronomer

Roger Cooke in: The history of mathematics: a brief course http://books.google.co.in/books?id=z-ruAAAAMAAJ, Wiley, 7 October 1997, p. 207.

Parting

“An important distinction exists between prospective and retrospective methods of calculating economic quantities such as incomes, savings, and investments; and… a corresponding distinction of great theoretical importance must be drawn between two alternative methods of defining these quantities. Quantities defined in terms of measurements made at the end of the period in question are referred to as ex post; quantities defined in terms of action planned at the beginning of the period in question are referred to as ex ante.”

Gunnar Myrdal (1898–1987) Swedish economist

Source: Monetary Equilibrium (1939), p. 34

Question

“When… we have a series of values of a quantity which continually diminish, and in such a way, that name any quantity we may, however small, all the values, after a certain value, are severally less than that quantity, then the symbol by which the values are denoted is said to diminish without limit. And if the series of values increase in succession, so that name any quantity we may, however great, all after a certain point will be greater, then the series is said to increase without limit.”

Augustus De Morgan (1806–1871) British mathematician, philosopher and university teacher (1806-1871)

It is also frequently said, when a quantity diminishes without limit, that it has nothing, zero or 0, for its limit: and that when it increases without limit it has infinity or ∞ or 1&frasl;0 for its limit.
The Differential and Integral Calculus (1836)

Way , Success

“My friend, brag not yet of our American cousins! Their quantity of cotton, dollars, industry and resources, I believe to be almost unspeakable; but I can by no means worship the like of these. What great human soul, what great thought, what great noble thing that one could worship, or loyally admire, has yet been produced there? None: the American cousins have yet done none of these things.”

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

1850s, Latter-Day Pamphlets (1850), The Present Time (February 1, 1850)

Soul

“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.”

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

"Civilization," London and Westminster Review (April 1836)

Religion , Teachers , Truth , Thinking

“Of the proportion, which the product of any region bears to the people, an estimate is commonly made according to the pecuniary price of the necessities of life; which is never certain, because it supposes what is far from truth, that the value of money is always the same, and so measures an unknown quantity by an uncertain standard. It is competent enough when the markets of the same country, at different times, and those times not too distant, are to be compared; but of very little use for the purpose of making one nation acquainted with the state of another.”

Samuel Johnson book A Journey to the Western Islands of Scotland

pp. 366-367. https://books.google.com/books?id=-6JfAAAAcAAJ&pg=PA366
A Journey to the Western Islands of Scotland (1775)

Money , Time , Country , People

“The Church, poor old benighted creature, had at least taken care of that: the noble aspiring soul, not doomed to choke ignobly in its penuries, could at least run into the neighboring Convent, and there take refuge. Education awaited it there; strict training not only to whatever useful knowledge could be had from writing and reading, but to obedience, to pious reverence, self-restraint, annihilation of self,—really to human nobleness in many most essential respects. No questions asked about your birth, genealogy, quantity of money-capital or the like; the one question was, "Is there some human nobleness in you, or is there not?"”

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

The poor neat-herd's son, if he were a Noble of Nature, might rise to Priesthood, to High-priesthood, to the top of this world,—and best of all, he had still high Heaven lying high enough above him, to keep his head steady, on whatever height or in whatever depth his way might lie!
1850s, Latter-Day Pamphlets (1850), The New Downing Street (April 15, 1850)

Money , Soul , Reading , Question

“Wherever there is a main issue the elimination of other things which are not essential will make for a stronger result. In the earlier static abstract sculptures I was most interested in space, vectoral quantities, and centers of differing densities.”

Alexander Calder (1898–1976) American artist

1930s, Statement from Modern Painting and Sculpture (1933)
Source: en.wikiquote.org - Alexander Calder / Quotes / 1930s / Statement from Modern Painting and Sculpture (1933)

Making love

“When the production process demands less work and distributes less and less wages, it gradually becomes obvious that the right to an income can no longer be reserved for those who have a job; nor, most importantly, can the level of incomes be made to depend on the quantity of work furnished by each person. Hence the idea of guaranteeing an income to every citizen which is not linked to work, or the quantity of work done.”

André Gorz (1923–2007) austrian philosopher

p. 203 https://books.google.com/books?id=WbpvDwAAQBAJ&pg=PA203
Critique of Economic Reason, 1988

Idea , Dependency , Personality

“Once the means of production have become capital, a certain quantity of value is augmented through the exploitation of labor. And this valorizing value is capital.”

Itsurō Sakisaka (1897–1985) Japanese economist

Exploitation of Labor (1967)

“It is no easy matter in a global war to have the right materials in the right places at the right times in the right quantities.”

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

First Report, p. 36
U.S. Navy at War, 1941-1945: Official Reports to the Secretary of the Navy (1946)

War , Time

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

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

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

Mathematics , Law , Food

“Knowledge comes, but wisdom lingers. It may not be difficult to store up in the mind a vast quantity of facts within a comparatively short time, but the ability to form judgments requires the severe discipline of hard work and the tempering heat of experience and maturity.”

Calvin Coolidge (1872–1933) American politician, 30th president of the United States (in office from 1923 to 1929)

Time , Knowledge , Wisdom

“It is the quality of our work which will please God, not the quantity.”

Mahatma Gandhi (1869–1948) pre-eminent leader of Indian nationalism during British-ruled India

God

“The world is miserable because men live beneath themselves; the error of modern man is that he wants to reform the world without having either the will or the power to reform man, and this flagrant contradiction, this attempt to make a better world on the basis of a worsened humanity, can only end in the very abolition of what is human, and consequently in the abolition of happiness too. Reforming man means binding him again to Heaven, reestablishing the broken link; it means tearing him away from the reign of the passions, from the cult of matter, quantity and cunning, and reintegrating him into the world of the spirit and serenity, we would even say: into the world of sufficient reason.”

Frithjof Schuon book Understanding Islam

[1998, Understanding Islam, World Wisdom, 26, 0-941532-24-0]
Miscellaneous, Modernity

Tear , Men , Happiness , Passion

“If to cast aside spread by our opponents' nonsense, I’ll use chess-players phrase: we have sacrificed quantity to quality and showed such respect to our partners and readiness to properly account for their interests which others neither could or wished to reveal.”

Viktor Yanukovych (1950) Ukrainian politician who was the President of Ukraine

Source: "Speech by Prime Minister of Ukraine Viktor Yanukovych at the International conference "Ukraine and European Union: new approaches"" http://old.kmu.gov.ua/kmu/control/en/publish/article?art_id=69148733&cat_id=244315174 (28 February 2007)

“Nature shouldn’t be able to do this, Sunday thought. It shouldn’t be able to produce something that resembled the work of directed intelligence, something artful, when the only factors involved were unthinking physics and obscene, spendthrift quantities of time. Time to lay down the sediments, in deluge after deluge, entire epochs in the impossibly distant past when Mars had been both warm and wet, a world deluded into thinking it had a future. Time for cosmic happenstance to hurl a fist from the sky, punching down through these carefully superimposed layers, drilling through these carefully superimposed layers, drilling the geological chapters like a bullet through a book. And then yesterday more time—countless millions of years—for wind and dust to work their callous handiwork, scouring and abrading, wearing the exposed layers back at subtly different rates depending on hardness and chemistry, util these deliberate-looking right-angled steps and contours began to assume grand and imperial solidity, rising from the depths like the stairways of the gods.
Awe-inspiring, yesterday. Sometimes it was entirely right and proper to be awed. And recognising the physics in these formations, the hand of time and matter and the nuclear forces underpinning all things, did not lessen that feeling. What was she, ultimately, but the end product of physics and matter? And what was her art but the product of physics and matter working on itself?”

Alastair Reynolds book Blue Remembered Earth

Source: Blue Remembered Earth (2012), Chapter 17 (pp. 292-293)

Dependency , God , Books , World

“I always value quality over quantity and keep a few very trustworthy friends and mentors who I share all my ups and downs with while on the go.”

Jessica Minh Anh (1988) Vietnamese model

Jessica Minh Anh (2018) cited in: " Meet Jessica Minh Anh, the fashion sensation with a flair for the dramatic https://www.scmp.com/magazines/style/watches/article/2177106/meet-jessica-minh-anh-fashion-sensation-flair-dramatic" in SCMP, 20 December 2018.

“This drift toward quantity instead of quality is largely distortion. Conformity is always too convenient? Quality means individuality, is therefore difficult. But unless we go deeper now, quantity at expense to quality will be our national tragedy—the rise of mediocrity into high places.”

Frank Lloyd Wright (1867–1959) American architect (1867-1959)

A Testament (1957)

Quotes about quantity page 5

Quotes about quantity
page 5