Quotes about numeric
page 5

R. C. Majumdar photo
Venkatraman Ramakrishnan photo

“This is an honour that reflects the quality of science supported by the Medical Research Council, in particular at the Laboratory of Molecular Biology in Cambridge. In my case, credit should go to the numerous dedicated postdocs, students, associates and colleagues who made crucial contributions to the work.”

Venkatraman Ramakrishnan (1952) Nobel prize winning American and British structural biologist

Quoted in Knighthood for Venkatraman Ramakrishnan, 31 December 2011, 19 December 2013, NDTV http://www.ndtv.com/article/india/knighthood-for-venkatraman-ramakrishnan-162464,

Enoch Powell photo
Yehuda Ashlag photo
Richard Cobden photo

“I have generally made it a rule to parry the inquiries and comparisons which the Americans are so apt to thrust at an Englishman. On one or two occasions, when the party has been numerous and worth powder and shot, I have, however, on being hard pressed, and finding my British blood up, found the only mode of allaying their inordinate vanity to be by resorting to this mode of argument:—"I admit all that you or any other person can, could, may, or might advance in praise of the past career of the people of America. Nay, more, I will myself assert that no nation ever did, and in my opinion none ever will, achieve such a title to respect, wonder, and gratitude in so short a period; and further still, I venture to allege that the imagination of statesmen never dreamed of a country that should in half a century make such prodigious advances in civilization and real greatness as yours has done. And now I must add, and I am sure you, as intelligent, reasonable men, will go with me, that fifty years are too short a period in the existence of nations to entitle them to the palm of history. No, wait the ordeal of wars, distresses, and prosperity (the most dangerous of all), which centuries of duration are sure to bring to your country. These are the test, and if, many ages hence, your descendants shall be able only to say of their country as much as I am entitled to say of mine now, that for seven hundred years we have existed as a nation constantly advancing in liberty, wealth, and refinement; holding out the lights of philosophy and true religion to all the world; presenting mankind with the greatest of human institutions in the trial by jury; and that we are the only modern people that for so long a time withstood the attacks of enemies so heroically that a foreign foe never put foot in our capital except as a prisoner (this last is a poser);—if many centuries hence your descendants will be entitled to say something equivalent to this, then, and not till then, will you be entitled to that crown of fame which the historian of centuries is entitled to award."”

Richard Cobden (1804–1865) English manufacturer and Radical and Liberal statesman

Letter to F. Cobden (5 July 1835) during his visit to the United States, quoted in John Morley, The Life of Richard Cobden (London: T. Fisher Unwin, 1905), pp. 33-34.
1830s

Báb photo
James Clerk Maxwell photo

“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

Fali Sam Nariman photo
Wesley Clair Mitchell photo

“One seeking to understand the recurrent ebb and flow of economic activity characteristic of the present day finds these numerous explanations both suggestive and perplexing. All are plausible, but which is valid? None necessarily excludes all the others, but which is the most important? Each may account for certain phenomena; does any one account for all the phenomena? Or can these rival explanations be combined in such a fashion as to make a consistent theory which is wholly adequate?
There is slight hope of getting answers to these questions by a logical process of proving and criticizing the theories. For whatever merits of ingenuity and consistency they may possess, these theories have slight value except as they give keener insight into the phenomena of business cycles. It is by study of the facts which they purport to interpret that the theories must be tested. But the perspective of the investigation would be distorted if we set out to test each theory in turn by collecting evidence to confirm or to refute it. For the point of interest is not the validity of any writer's views, but clear comprehension of the facts. To observe, analyze, and systematize the phenomena of prosperity, crisis, and depression is the chief task. And there is better prospect of rendering service if we attack this task directly, than if we take the round about way of considering the phenomena with reference to the theories.
This plan of attacking the facts directly by no means precludes free use of the results achieved by others. On the contrary, their conclusions suggest certain facts to be looked for, certain analyses to be made, certain arrangements to be tried. Indeed, the whole investigation would be crude and superficial if we did not seek help from all quarters. But the help wanted is help in making a fresh examination into the facts.”

Wesley Clair Mitchell (1874–1948) American statistician

Source: Business Cycles, 1913, p. 19-20; as cited in: Mary S. Morgan. The History of Econometric Ideas. p. 46

Donald A. Norman photo
G. K. Chesterton photo
Ragnar Frisch photo

“Intermediate between mathematics, statistics, and economics, we find a new discipline which, for lack of a better name, may be called econometrics. Econometrics has as its aim to subject abstract laws of theoretical political economy or "pure" economics to experimental and numerical verification, and thus to turn pure economics, as far as possible, into a science in the strict sense of the word.”

Ragnar Frisch (1895–1973) Norwegian economist

Ragnar Frisch (1926) "On a Problem in Pure Eco­nomics: Translated by JS Chipman." Preferences, Utility, and Demand: A Minnesota Symposium. 1926."
Original in French:
Intermediaire entre les mathematiques, la statistique et l'economie politique, nous trouvons une discipline nouvelle que ion peut, faute de mieux, designer sous le nom de reconometrie. L'econometrie se pose le but de soumettre les lois abstraites de l'economie politique theorique ou l'economie 'pure' A une verification experimentale et numeriques, et ainsi de constituer, autant que cela est possible, l'economie pure en une science dans le sens restreint de ce mot.
1920

Isaac Asimov photo

“The fact that the general incidence of leukemia has doubled in the last two decades may be due, partly, to the increasing use of x-rays for numerous purposes. The incidence of leukemia in doctors, who are likely to be so exposed, is twice that of the general public. In radiologists … the incidence is ten times greater.”

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

Statement of 1965, as quoted without citation of a specific work in Isaac Asimov’s Book of Science and Nature Quotations (1988), edited by Asimov and Jason A. Shulman, p. 233 https://archive.org/details/BookOfScienceAndNatureQuotations-IsaacAsimov
General sources

Martin Luther King, Jr. photo
Matt Taibbi photo
Richard Rodríguez photo
Jean-Étienne Montucla photo

“There is reason, however, to think that the author would have rendered it much more interesting, and have carried it to si higher degree of perfection, had he lived in an age more enlightened and better informed in regard to the mathematics and natural philosophy. Since the death of that mathematician, indeed, the arts and sciences have been so much improved, that what in his time might have been entitled to the character of mediocrity, would not at present be supportable. How many new discoveries in every part of philosophy? How many new phenomena observed, some of which have even given birth to the most fertile branches of the sciences? We shall mention only electricity, an inexhaustible source of profound reflection, and of experiments highly amusing. Chemistry also is a science, the most common and slightest principles of which were quite unknown to Ozanam. In short, we need not hesitate to pronounce that Ozanam's work contains a multitude of subjects treated of with an air of credulity, and so much prolixity, that it appears as if the author, or rather his continuators, had no other object in view than that of multiplying the volumes.
To render this work, then, more worthy of the enlightened agt in which we live, it was necessary to make numerous corrections and considerable additions. A task which we have endeavoured to discharge with all diligence”

Jean-Étienne Montucla (1725–1799) French mathematician

Source: Preface to Recreations in Mathematics and Natural Philosophy. (1803), p. vi; As cited in: Tobias George Smollett. The Critical Review: Or, Annals of Literature http://books.google.com/books?id=T8APAAAAQAAJ&pg=PA412, Volume 38, (1803), p. 412

Ed Bradley photo

“Ed Bradley has remained a part of the CBS news team where he has garnered numerous awards on the popular 60 Minutes news magazine television show.”

Ed Bradley (1941–2006) News correspondent

[I'll Find a Way or Make One, 4, 0061976938, Dwayne Ashley, ‎Juan Williams, ‎Adrienne Ingrum, 2009, HarperCollins]
About

David Lloyd George photo

“The right hon. Gentleman the Member for West Birmingham said, in future what are you going to tax when you will want more money? He also not merely assumed but stated that you could not depend upon any economy in armaments. I think that is not so. I think he will find that next year there will be substantial economy without interfering in the slightest degree with the efficiency of the Navy. The expenditure of the last few years has been very largely for the purpose of meeting what is recognised to be a temporary emergency. … It is very difficult for one nation to arrest this very terrible development. You cannot do it. You cannot when other nations are spending huge sums of money which are not merely weapons of defence, but are equally weapons of attack. I realise that, but the encouraging symptom which I observe is that the movement against it is a cosmopolitan one and an international one. Whether it will bear fruit this year or next year, that I am not sure of, but I am certain that it will come. I can see signs, distinct signs, of reaction throughout the world. Take a neighbour of ours. Our relations are very much better than they were a few years ago. There is none of that snarling which we used to see, more especially in the Press of those two great, I will not say rival nations, but two great Empires. The feeling is better altogether between them. They begin to realise they can co-operate for common ends, and that the points of co-operation are greater and more numerous and more important than the points of possible controversy.”

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

Speech in the House of Commons http://hansard.millbanksystems.com/commons/1914/jul/23/finance-bill on the day the Austrian ultimatum was sent to Serbia (23 July 1914); The "neighbour" mentioned is Germany.
Chancellor of the Exchequer

William John Macquorn Rankine photo

“A physical theory, like an abstract science, consists of definitions and axioms as first principles, and of propositions, their consequences; but with these differences:—first, That in an abstract science, a definition assigns a name to a class of notions derived originally from observation, but not necessarily corresponding to any existing objects of real phenomena, and an axiom states a mutual relation amongst such notions, or the names denoting them; while in a physical science, a definition states properties common to a class of existing objects, or real phenomena, and a physical axiom states a general law as to the relations of phenomena; and, secondly,—That in an abstract science, the propositions first discovered are the most simple; whilst in a physical theory, the propositions first discovered are in general numerous and complex, being formal laws, the immediate results of observation and experiment, from which the definitions and axioms are subsequently arrived at by a process of reasoning differing from that whereby one proposition is deduced from another in an abstract science, partly in being more complex and difficult, and partly in being to a certain extent tentative, that is to say, involving the trial of conjectural principles, and their acceptance or rejection according as their consequences are found to agree or disagree with the formal laws deduced immediately from observation and experiment.”

William John Macquorn Rankine (1820–1872) civil engineer

Source: "Outlines of the Science of Energetics," (1855), p. 121; Second paragraph

John Adams photo

“I have thought proper to recommend, and I do hereby recommend accordingly, that Thursday, the 25th day of April next, be observed throughout the United States of America as a day of solemn humiliation, fasting, and prayer; that the citizens on that day abstain as far as may be from their secular occupations, devote the time to the sacred duties of religion in public and in private; that they call to mind our numerous offenses against the Most High God, confess them before Him with the sincerest penitence, implore His pardoning mercy, through the Great Mediator and Redeemer, for our past transgressions, and that through the grace of His Holy Spirit we may be disposed and enabled to yield a more suitable obedience to His righteous requisitions in time to come; that He would interpose to arrest the progress of that impiety and licentiousness in principle and practice so offensive to Himself and so ruinous to mankind; that He would make us deeply sensible that "righteousness exalteth a nation, but sin is a reproach to any people;" that He would turn us from our transgressions and turn His displeasure from us; that He would withhold us from unreasonable discontent, from disunion, faction, sedition, and insurrection; that He would preserve our country from the desolating sword; that He would save our cities and towns from a repetition of those awful pestilential visitations under which they have lately suffered so severely, and that the health of our inhabitants generally may be precious in His sight; that He would favor us with fruitful seasons and so bless the labors of the husbandman as that there may be food in abundance for man and beast; that He would prosper our commerce, manufactures, and fisheries, and give success to the people in all their lawful industry and enterprise; that He would smile on our colleges, academies, schools, and seminaries of learning, and make them nurseries of sound science, morals, and religion; that He would bless all magistrates, from the highest to the lowest, give them the true spirit of their station, make them a terror to evil doers and a praise to them that do well; that He would preside over the councils of the nation at this critical period, enlighten them to a just discernment of the public interest, and save them from mistake, division, and discord; that He would make succeed our preparations for defense and bless our armaments by land and by sea; that He would put an end to the effusion of human blood and the accumulation of human misery among the contending nations of the earth by disposing them to justice, to equity, to benevolence, and to peace; and that he would extend the blessings of knowledge, of true liberty, and of pure and undefiled religion throughout the world.”

John Adams (1735–1826) 2nd President of the United States

Presidential proclamation of a national day of fasting and prayer (6 March 1799)
1790s

Arthur Young photo
Donald A. Norman photo
Edmund Burke photo

“Permit me, Sir, to add another circumstance in our colonies, which contributes no mean part towards the growth and effect of this untractable spirit. I mean their education. In no country perhaps in the world is the law so general a study. The profession itself is numerous and powerful; and in most provinces it takes the lead. The greater number of the deputies sent to the congress were lawyers. But all who read, and most do read, endeavour to obtain some smattering in that science. I have been told by an eminent bookseller, that in no branch of his business, after tracts of popular devotion, were so many books as those on the law exported to the plantations. The colonists have now fallen into the way of printing them for their own use. I hear that they have sold nearly as many of Blackstone's Commentaries in America as in England. General Gage marks out this disposition very particularly in a letter on your table. He states, that all the people in his government are lawyers, or smatterers in law; and that in Boston they have been enabled, by successful chicane, wholly to evade many parts of one of your capital penal constitutions. The smartness of debate will say, that this knowledge ought to teach them more clearly the rights of legislature, their obligations to obedience, and the penalties of rebellion. All this is mighty well. But my honourable and learned friend on the floor, who condescends to mark what I say for animadversion, will disdain that ground. He has heard, as well as I, that when great honours and great emoluments do not win over this knowledge to the service of the state, it is a formidable adversary to government. If the spirit be not tamed and broken by these happy methods, it is stubborn and litigious. Abeunt studia in mores. This study renders men acute, inquisitive, dexterous, prompt in attack, ready in defence, full of resources. In other countries, the people, more simple, and of a less mercurial cast, judge of an ill principle in government only by an actual grievance; here they anticipate the evil, and judge of the pressure of the grievance by the badness of the principle. They augur misgovernment at a distance; and snuff the approach of tyranny in every tainted breeze.”

Edmund Burke (1729–1797) Anglo-Irish statesman

Second Speech on Conciliation with America (1775)

Richard Blackmore photo

“Homer excels in Genius, Virgil in Judgment. Homer as conscious of his great Riches and Fullness entertains the Reader with great Splendor and Magnificent Profusion. Virgil's Dishes are well chosen, and tho not Rich and Numerous, yet serv'd up in great Order and Decency. Homer's Imagination is Strong, Vast and Boundless, an unexhausted Treasure of all kinds of Images; which made his Admirers and Commentators in all Ages affirm, that all sorts of Learning were to be found in his Poems. Virgil's Imagination is not so Capacious, tho' his Ideas are Clear, Noble, and of great Conformity to their Objects. Homer has more of the Poetical Inspiration. His Fire burns with extraordinary Heat and Vehemence, and often breaks out in Flashes, which Surprise, Dazle and Astonish the Reader: Virgil's is a clearer and a chaster Flame, which pleases and delights, but never blazes in that extraordinary and surprising manner. Methinks there is the same Difference between these two great Poets, as there is between their Heros. Homer's Hero, Achilles, is Vehement, Raging and Impetuous. He is always on Fire, and transported with an immoderate and resistless Fury, performs every where Miraculous Atchievements, and like a rapid Torrent overturns all things in his way. Æneas, the Hero of the Latine Poet, is a calm, Sedate Warriour. He do's not want Courage, neither has he any to spare: and the Poet might have allowed him a little more Fire, without overheating him. As for Invention, 'tis evident the Greek Poet has mightily the advantage. Nothing is more Rich and Fertile than Homer's Fancy. He is Full, Abundant, and Diffusive above all others. Virgil on the other hand is rather dry, than fruitful. 'Tis plain the Latin Poet in all his famous Æneis, has very little, if any Design of his own …”

Richard Blackmore (1654–1729) English poet and physician

Preface to King Arthur http://d.lib.rochester.edu/camelot/text/blackmore-king-arthur-I (1697)

Ernesto Che Guevara photo
Muhammad Ali Jinnah photo

“To yoke together two such nations under a single state, one as a numerical minority and the other as a majority, must lead to growing discontent and final destruction”

Muhammad Ali Jinnah (1876–1948) Founder and 1st Governor General of Pakistan

Presidential Address to All India Muslim League's Session on March 22, 1940
Context: It is extremely difficult to appreciate why our Hindu friends fail to understand the real nature of Islam and Hinduism. They are not religions in the strict sense of the word, but are, in fact, different and distinct social orders, and it is a dream that the Hindus and Muslims can ever evolve a common nationality, and this misconception of one Indian nation has troubles and will lead India to destruction if we fail to revise our notions in time. The Hindus and Muslims belong to two different religious philosophies, social customs, litterateurs. They neither intermarry nor interdine together and, indeed, they belong to two different civilizations which are based mainly on conflicting ideas and conceptions. Their aspect on life and of life are different. It is quite clear that Hindus and Mussalmans (Muslims) derive their inspiration from different sources of history. They have different epics, different heroes, and different episodes. Very often the hero of one is a foe of the other and, likewise, their victories and defeats overlap. To yoke together two such nations under a single state, one as a numerical minority and the other as a majority, must lead to growing discontent and final destruction of any fabric that may be so built for the government of such a state.

Henry L. Benning photo

“Although not half so numerous, we may readily assume that war will break out everywhere like hidden fire from the earth, and it is probable that the white race, being superior in every respect, may push the other back.”

Henry L. Benning (1814–1875) Confederate Army general

Speech to the Virginia Convention (1861)
Context: The majority according to the Northern idea, which will then be the all-pervading, all powerful one, have the right to control. It will be in keeping particularly with the principles of the abolitionists that the majority, no matter of what, shall rule. Is it to be supposed that the white race will stand that? It is not a supposable case. Although not half so numerous, we may readily assume that war will break out everywhere like hidden fire from the earth, and it is probable that the white race, being superior in every respect, may push the other back. They will then call upon the authorities at Washington, to aid them in putting down servile insurrection, and they will send a standing army down upon us, and the volunteers and Wide-Awakes will come in thousands, and we will be overpowered and our men will be compelled to wander like vagabonds all over the earth; and as for our women, the horrors of their state we cannot contemplate in imagination. That is the fate which Abolition will bring upon the white race.

Vitruvius photo

“The stone in quarries is found to be of different and unlike qualities. In some it is soft… in others it is medium… in still others it is hard as in lava quarries. There are also numerous other kinds:”

Source: De architectura (The Ten Books On Architecture) (~ 15BC), Book II, Chapter VII, Sec. 1
Context: The stone in quarries is found to be of different and unlike qualities. In some it is soft... in others it is medium... in still others it is hard as in lava quarries. There are also numerous other kinds: for instance, in Campania, red and black tufas; in Umbria, Picenum, and Venetia, white tufa which can be cut with a toothed saw like wood.

Otto Lilienthal photo

“Numerous technicians in every state are doing their utmost to achieve the dream of free, unlimited flight and it is precisely here where changes can be made which would have a radical effect on our whole way of life.”

Otto Lilienthal (1848–1896) German aviation pioneer

Letter to Moritz von Egidy (c. January 1894) - Original German text online http://www.lilienthal-museum.de/olma/l1852.htm
Context: I, too, have made it a lifelong task of mine to add a cultural element to my work, which should result in uniting countries and reconciling their people. Our experience of today's civilisation suffers from the fact that it only happens on the surface of the earth. We have invented barricades between our countries, custom regulations and constraints and complicated traffic laws and these are only possible because we are not in control of the 'kingdom of the air', and not as 'free as a bird'.
Numerous technicians in every state are doing their utmost to achieve the dream of free, unlimited flight and it is precisely here where changes can be made which would have a radical effect on our whole way of life. The borders between countries would lose their significance, because they could not be closed off from each other. Linguistic differences would disappear, as human mobility increased. National defence would cease to devour the best resources of nations as it would become impossible in itself. And the necessity of resolving disagreements among nations in some other way than by bloody battles would, in its turn, lead us to eternal peace.
We are getting closer to this goal. When we will reach it, I do not know.

Rosa Luxemburg photo

“Freedom only for the members of the government, only for the members of the Party — though they are quite numerous — is no freedom at all. Freedom is always the freedom of dissenters.”

Rosa Luxemburg (1871–1919) Polish Marxist theorist, socialist philosopher, and revolutionary

Die russische Revolution. Eine kritische Würdigung (1920) p. 109 <!-- and in Rosa Luxemburg - Gesammelte Werke Vol. 4, p. 359, Footnote 3, Dietz Verlag Berlin (Ost), 1983 -->
This contains probably her most famous statement: Freiheit ist immer Freiheit der Andersdenkenden, translated as "Freedom is always the freedom of dissenters."
Variant: Freedom is always and exclusively freedom for the one who thinks differently.
Context: Freedom only for the members of the government, only for the members of the Party — though they are quite numerous — is no freedom at all. Freedom is always the freedom of dissenters. The essence of political freedom depends not on the fanatics of 'justice', but rather on all the invigorating, beneficial, and detergent effects of dissenters. If 'freedom' becomes 'privilege', the workings of political freedom are broken.

“The weakness of the Sapir-Whorf Hypothesis… the impossibility of generalizing about entire cultures and then attributing these generalizations to the language spoken …is to leave numerous facts about culture unexplained.”

Peter Farb (1929–1980) American academic and writer

Word Play (1974)
Context: The weakness of the Sapir-Whorf Hypothesis... the impossibility of generalizing about entire cultures and then attributing these generalizations to the language spoken... is to leave numerous facts about culture unexplained. The great religions of the world... have flourished among diverse peoples who speak languages with sharply different grammars.... Cultures as diverse as the Aztec Empire of Mexico and the Ute hunting bands of the Great Basin spoke very closely related tongues.

Immanuel Kant photo

“It is much more natural and reasonable to assume that a nebula is not a unique and solitary sun, but a system of numerous suns”

Immanuel Kant (1724–1804) German philosopher

Free translation, as quoted by Edwin Powell Hubble, The Realm of the Nebulae (1936)
An Original Theory or New Hypothesis of the Universe (1750)
Context: I come now to another part of my system, and because it suggests a lofty idea of the plan of creation, it appears to me as the most seductive. The sequence of ideas that led us to it is very simple and natural. They are as follows: let us imagine a system of stars gathered together in a common plane, like those of the Milky Way, but situated so far away from us that even with the telescope we cannot distinguish the stars composing it; let us assume that its distance, compared to that separating us from the stars of the Milky Way, is the same proportion as the Milky Way is to the distance from the earth to the sun; such a stellar world will appear to the observer, who contemplates it at so enormous a distance, only as a little spot feebly illumined and subtending a very small angle; its shape will be circular, if its plane is perpendicular to the line of sight, elliptical, if it is seen obliquely. The faintness of its light, its form, and its appreciable diameter will obviously distinguish such a phenomenon from the isolated stars around it.
We do not need to seek far in the observations of astronomers to meet with such phenomena. They have been seen by various observers, who have wondered at their strange appearance, have speculated about them, and have suggested some times the most amazing explanations, sometimes theories which were more rational, but which had no more foundation than the former. We refer to the nebulæ, or, more precisely, to a particular kind of celestial body which M. de Maupertius describes as follows:
"These are small luminous patches, only slightly more brilliant than the dark background of the sky; they have this in common, that their shapes are more or less open elipses; and their light is far more feeble than that of any other objects to be perceived in the heavens."
... It is much more natural and reasonable to assume that a nebula is not a unique and solitary sun, but a system of numerous suns, which appear crowded, because of their distance, into a space so limited that their light, which would be imperceptible were each of them isolated, suffices, owing to their enormous numbers, to give a pale and uniform luster. Their analogy with our own system of stars; their form, which is precisely what it should be according to our theory; the faintness of their light, which denotes an infinite distance; all are in admirable accord and lead us to consider these elliptical spots as systems of the same order as our own—in a word, to be Milky Ways similar to the one whose constitution we have explained. And if these hypotheses, in which analogy and observation consistently lend mutual support, have the same merit as formal demonstrations, we must consider the existence of such systems as demonstrated...
We see that scattered through space out to infinite distances, there exist similar systems of stars [nebulous stars, nebulæ], and that creation, in the whole extent of its infinite grandeur, is everywhere organized into systems whose members are in relation with one another.... A vast field lies open to discoveries, and observations alone will give the key.

James Anthony Froude photo

“Numerically this is the largest class of believers, with very various denominations indeed; bearing the names of every faith beneath the sky, and composing the conservative elements in them, and therefore commonly persons of much weight in established systems.”

Confessions Of A Sceptic
The Nemesis of Faith (1849)
Context: Belief is the result of the proportion, whatever it he, in which the many elements which go to make the human being are combined. In some the grosser nature preponderates; they believe largely in their stomachs, in the comforts and conveniences of life, and being of such kind, so long as these are not threatened, they gravitate steadily towards the earth. Numerically this is the largest class of believers, with very various denominations indeed; bearing the names of every faith beneath the sky, and composing the conservative elements in them, and therefore commonly persons of much weight in established systems. But they are what I have called them: their hearts are where I said they were, and as such interests are commonly selfish, and self separates instead of unites, they are not generally powerful against any heavy trial. Others of keener susceptibility are yet volatile, with slight power of continuance, and fly from attraction to attraction in the current of novelty. Others of stronger temper gravitate more slowly, but combine more firmly, and only disunite again when the idea or soul of the body into which they form dies out, or they fall under the influence of some very attractive force indeed. It may be doubted, indeed, whether a body which is really organised by a living idea can lose a healthy member except by violence.

“Numerous sophisticated inventions”

Peter Farb (1929–1980) American academic and writer

Man's Rise to Civilization (1968)
Context: Numerous sophisticated inventions undoubtedly originated in the New World. They include many aspects of plant domestication and horticulture, the hammock, the tobacco pipe, an intricate system used for ventilating and cooling ceremonial chambers, the enema, the hollow rubber ball, the toboggan, and numerous other objects and ideas that were brought back to the Old World after Columbus.<!-- p. 204

“Numerical analysis has begun to look a little square in the computer science setting, and numerical analysts are beginning to show signs of losing faith in themselves.”

James H. Wilkinson (1919–1986) English mathematician

Some Comments from a Numerical Analyst (1971)
Context: Numerical analysis has begun to look a little square in the computer science setting, and numerical analysts are beginning to show signs of losing faith in themselves. Their sense of isolation is accentuated by the present trend towards abstraction in mathematics departments which makes for an uneasy relationship. How different things might have been if the computer revolution had taken place in the 19th century! [... ] In any case "numerical analysts" may be likened to "The Establishment" in computer science and in all spheres it is fashionable to diagnose "rigor morris" in the Establishment.

“On the one hand, one can attempt to trace the numerous incursions of immigrants to Greece and try to assess the extent to which the ‘blood’ of the Ancients has been diluted by outside races, Romans, barbarians, Franks, Turks, Venetians, Albanians, etc. On the other hand, one can point to the remarkable survival of ideas and customs and, in particular, to the astonishing strength of the linguistic tradition.”

William St Clair (1937) author

Source: That Greece Might Still be Free (1972), p. 15-16.
Context: Whether the present inhabitants of Greece are descended from the Ancient Greeks is a profoundly unsatisfactory question. No method of subdividing the question makes much sense. On the one hand, one can attempt to trace the numerous incursions of immigrants to Greece and try to assess the extent to which the ‘blood’ of the Ancients has been diluted by outside races, Romans, barbarians, Franks, Turks, Venetians, Albanians, etc. On the other hand, one can point to the remarkable survival of ideas and customs and, in particular, to the astonishing strength of the linguistic tradition.

Julian (emperor) photo

“But were one to discuss the numerous other qualities belonging to this god, he would never arrive to the end of them.”

Julian (emperor) (331–363) Roman Emperor, philosopher and writer

Upon the Sovereign Sun (362)
Context: But how many are the final causes of union, the most beautiful, which this deity contains within himself? The Sun, that is, Apollo, is "Leader of the Muses;" and inasmuch as he completes our life with good order, he produces in the world Æsculapius; for even before the world was, he had the latter by his side.
But were one to discuss the numerous other qualities belonging to this god, he would never arrive to the end of them.

Martha Washington photo

“It is owing to this kindness of our numerous friends, in all quarters, that my new and unwished-for situation is not indeed a burden to me.”

Martha Washington (1731–1802) First Lady of the United States

Letter to Mercy Warren (1789)
Context: It is owing to this kindness of our numerous friends, in all quarters, that my new and unwished-for situation is not indeed a burden to me. When I was much younger, I should probably have enjoyed the innocent gayeties of life, as much as most of my age. But I had long since placed all the prospects of my future worldly happiness in the still enjoyments of the fireside at Mount Vernon.

“The strife was stilled, order and unity were restored, as soon as Avogadro's great idea was seen in its true light, and the concept of the molecule was introduced into chemistry. A formula which had required pages of reasoning from a purely chemical standpoint to establish, and that insecurely, was fixed by a single numerical result.”

J. R. Partington (1886–1965) British chemist

Introduction
Higher Mathematics for Chemical Students (1911)
Context: As an instance of the remarkably far-reaching effect which a single mathematico-physical concept has had upon the development of chemical theory, one has but to recall the state of chemistry just before the revival of Avogadro's law by Cannizzaro, to be impressed by its confusion. Relying solely upon their "chemical instinct," the leaders of the various schools of chemical thought had developed each his own theoretical system.... a host of... conceptions strove for supremacy. The strife was stilled, order and unity were restored, as soon as Avogadro's great idea was seen in its true light, and the concept of the molecule was introduced into chemistry. A formula which had required pages of reasoning from a purely chemical standpoint to establish, and that insecurely, was fixed by a single numerical result.

William James photo

“Why should they not blush with indignant shame if the community that owns them is vile in any way whatsoever? Individuals, daily more numerous, now feel this civic passion.”

William James (1842–1910) American philosopher, psychologist, and pragmatist

1900s, The Moral Equivalent of War (1906)
Context: The war-party is assuredly right in affirming and reaffirming that the martial virtues, although originally gained by the race through war, are absolute and permanent human goods. Patriotic pride and ambition in their military form are, after all, only specifications of a more general competitive passion. They are its first form, but that is no reason for supposing them to be its last form. Men are now proud of belonging to a conquering nation, and without a murmur they lay down their persons and their wealth, if by so doing they may fend off subjection. But who can be sure that other aspects of one's country may not, with time and education and suggestion enough, come to be regarded with similarly effective feelings of pride and shame? Why should men not some day feel that is it worth a blood-tax to belong to a collectivity superior in any respect? Why should they not blush with indignant shame if the community that owns them is vile in any way whatsoever? Individuals, daily more numerous, now feel this civic passion. It is only a question of blowing on the spark until the whole population gets incandescent, and on the ruins of the old morals of military honor, a stable system of morals of civic honor builds itself up. What the whole community comes to believe in grasps the individual as in a vise. The war-function has grasped us so far; but the constructive interests may some day seem no less imperative, and impose on the individual a hardly lighter burden.

Cyrano de Bergerac photo

“Even if a king defeats his enemy in battle, that still doesn't settle anything. There are other, less numerous armies of philosophers and scientists, and their contests determine the true triumph or defeat of nations.”

Cyrano de Bergerac (1619–1655) French novelist, dramatist, scientist and duelist

The Other World (1657)
Context: Even if a king defeats his enemy in battle, that still doesn't settle anything. There are other, less numerous armies of philosophers and scientists, and their contests determine the true triumph or defeat of nations.
One scholar is matched with another; one creative mind with another; and one judicious temperament with his counterpart. A victory won on that field counts for three won by force of arms.

Publius Flavius Vegetius Renatus photo

“A handful of men, inured to war, proceed to certain victory, while on the contrary numerous armies of raw and undisciplined troops are but multitudes of men dragged to slaughter.”
Etenim in certamine bellorum exercitata paucitas ad uictoriam promptior est, rudis et indocta multitudo exposita semper ad caedem.

Book 1
De Re Militari (also Epitoma Rei Militaris), Book I, "The Selection and Training of New Levies"

“His majesty recollected the celebrated quack doctor, who when asked why his patrons were more numerous than those of regular practitioners, replied, that he was patronised by the fools, who are numerous in every community”

Alexander Bryan Johnson (1786–1867) United States philosopher and banker

The Philosophical Emperor, a Political Experiment, or, The Progress of a False Position: (1841)
Context: His majesty recollected the celebrated quack doctor, who when asked why his patrons were more numerous than those of regular practitioners, replied, that he was patronised by the fools, who are numerous in every community, while regular physicians are patronised by the wise, who are few. His majesty could not see why the principle was not applicable to politics. He resolved to try it. He would so govern as to be patronised by the numerous class, and leave the desires of the few to be regarded by some future emperor, who should choose to make so unpromising an experiment.

Toni Morrison photo

“Beginning Beloved with numerals rather than spelled out numbers, it was my intention to give the house an identity separate from the street or even the city…”

Toni Morrison (1931–2019) American writer

"Unspeakable Things Unspoken: The Afro-American Presence in American Literature" in Michigan Quarterly Review 28, no. 1 (Winter 1989)
Context: Beginning Beloved with numerals rather than spelled out numbers, it was my intention to give the house an identity separate from the street or even the city... Numbers here constitute an address, a thrilling enough prospect for slaves who had owned nothing, least of all an address. And although the numbers, unlike words, can have no modifiers, I give these an adjective — spiteful… A few words have to be read before it is clear that 124 refers to a house … and a few more have to be read to discover why it is spiteful, or rather the source of the spite. By then it is clear, if not at once, that something is beyond control, but is not beyond understanding since it is not beyond accommodation by both the "women" and the "children." The fully realized presence of the haunting is both a major incumbent of the narrative and sleight of hand. One of its purposes is to keep the reader preoccupied with the nature of the incredible spirit world while being supplied a controlled diet of the incredible political world. … Here I wanted the compelling confusion of being there as they (the characters) are; suddenly, without comfort or succor from the "author," with only imagination, intelligence, and necessity available for the journey. …. No compound of houses, no neighborhood, no sculpture, no paint, no time, especially no time because memory, pre-historic memory, has no time. There is just a little music, each other and the urgency of what is at stake. Which is all they had. For that work, the work of language is to get out of the way.

“The new and the old methods complete one another on numerous points, and their simultaneous use will increase our knowledge”

Bernard Lyot (1897–1952) French astronomer

The study of the solar corona and prominences without eclipses (George Darwin Lecture) in Monthly Notices of the Royal Astronomical Society (1939).
Context: The new and the old methods complete one another on numerous points, and their simultaneous use will increase our knowledge of the outer atmosphere of the Sun much more rapidly.

Benjamin Banneker photo

“I suppose it is a truth too well attested to you, to need a proof here, that we are a race of beings, who have long labored under the abuse and censure of the world; that we have long been looked upon with an eye of contempt; and that we have long been considered rather as brutish than human, and scarcely capable of mental endowments.
Sir, I hope I may safely admit, in consequence of that report which hath reached me, that you are a man far less inflexible in sentiments of this nature, than many others; that you are measurably friendly, and well disposed towards us; and that you are willing and ready to lend your aid and assistance to our relief, from those many distresses, and numerous calamities, to which we are reduced.”

Benjamin Banneker (1731–1806) free African American scientist, surveyor, almanac author and farmer

Letter to Thomas Jefferson on racism and slavery (19 August 1791) in Copy of a letter from Benjamin Banneker to the secretary of state, with his answer. http://etext.virginia.edu/etcbin/toccer-new2?id=BanLett.sgm&images=images/modeng&data=/texts/english/modeng/parsed&tag=public&part=all, p. 8. Printed and sold by Daniel Lawrence, no. 33. North Fourth-Street, near Race. Philadelphia M.DCC.XCII. (1792) http://etext.virginia.edu/images/modeng/public/BanLett/B24073a.jpg in official website of University of Virginia Library http://www2.lib.virginia.edu/etext/index.html. <!-- Retrieved 2010-06-18 -->
Context: SIr, I am fully sensible of the greatness of that freedom, which I take with you on the present occasion; a liberty which seemed to me scarcely allowable, when I reflected on that distinguished and dignified station in which you stand, and the almost general prejudice and prepossession, which is so prevalent in the world against those of my complexion.
I suppose it is a truth too well attested to you, to need a proof here, that we are a race of beings, who have long labored under the abuse and censure of the world; that we have long been looked upon with an eye of contempt; and that we have long been considered rather as brutish than human, and scarcely capable of mental endowments.
Sir, I hope I may safely admit, in consequence of that report which hath reached me, that you are a man far less inflexible in sentiments of this nature, than many others; that you are measurably friendly, and well disposed towards us; and that you are willing and ready to lend your aid and assistance to our relief, from those many distresses, and numerous calamities, to which we are reduced. Now Sir, if this is founded in truth, I apprehend you will embrace every opportunity, to eradicate that train of absurd and false ideas and opinions, which so generally prevails with respect to us; and that your sentiments are concurrent with mine, which are, that one universal Father hath given being to us all; and that he hath not only made us all of one flesh, but that he hath also, without partiality, afforded us all the same sensations and endowed us all with the same faculties; and that however variable we may be in society or religion, however diversified in situation or color, we are all of the same family, and stand in the same relation to him.
Sir, if these are sentiments of which you are fully persuaded, I hope you cannot but acknowledge, that it is the indispensible duty of those, who maintain for themselves the rights of human nature, and who possess the obligations of Christianity, to extend their power and influence to the relief of every part of the human race, from whatever burden or oppression they may unjustly labor under; and this, I apprehend, a full conviction of the truth and obligation of these principles should lead all to.

Joyce Carol Oates photo

“We all have numerous identities that shift with circumstances.”

Joyce Carol Oates (1938) American author

Joyce Carol Oates interviews herself (2013)
Context: We all have numerous identities that shift with circumstances. The writing self is likely to be a highly private, conjured sort of being — you would not find it in a grocery store.

Robert H. Jackson photo
Baruch Spinoza photo

“The experience Spinoza records… establishes… the moment of extreme doubt , fear, and uncertainty that precedes the dawn of revelation. …the journey …is one trodden by poets, philosophers, and theologians too numerous to mention, who for millennia have recorded this feeling”

Baruch Spinoza (1632–1677) Dutch philosopher

Matthew Stewart, The Courtier and the Heretic (2006)
Context: For Spinoza, philosophy originates in the very personal... feeling of emptiness that in the philosophical tradition has earned the distinguished name of contemptu mundi, the contempt for worldly things, or, better, vanitas.... Spinoza says that... success in life is just a postponement of failure;... pleasure is just a fleeting respite from pain; and... the objects of our striving are vain illusions....
The feeling of vanitas Spinoza describes is... a dire encounter with the prospect of descent into absolute nothingness, a life without significance coming to a meaningless end.... The experience Spinoza records... establishes... the moment of extreme doubt, fear, and uncertainty that precedes the dawn of revelation.... the journey... is one trodden by poets, philosophers, and theologians too numerous to mention, who for millennia have recorded this feeling that life is a useless passion, a wheel of ceaseless striving, a tale told by an idiot, full of sound and fury, signifying nothing, and so on.<!--pp. 55-56

Reza Pahlavi photo
Artemus Ward photo
Antonie Pannekoek photo
Ramachandra Guha photo

“Three men did most to make Hinduism a modern faith. Of these the first was not recognized as a Hindu by the Shankaracharyas; the second was not recognized as a Hindu by himself; the third was born a Hindu but made certain he would not die as one. These three great reformers were Mahatma Gandhi, Jawaharlal Nehru, and B. R. Ambedkar. Gandhi and Nehru, working together, helped Hindus make their peace with modern ideas of democracy and secularism. Gandhi and Ambedkar, working by contrasting methods and in opposition to one another, made Hindus recognize the evils and horrors of the system of Untouchability. Nehru and Ambedkar, working sometimes together, sometimes separately, forced Hindus to grant, in law if not always in practice, equal rights to their women. The Gandhi-Nehru relationship has been the subject of countless books down the years. Books on the Congress, which document how these two made the party the principal vehicle of Indian nationalism; books on Gandhi, which have to deal necessarily with the man he chose to succeed him; books on Nehru, which pay proper respect to the man who influenced him more than anyone else. Books too numerous to mention, among which I might be allowed to single out, as being worthy of special mention, Sarvepalli Gopal’s Jawaharlal Nehru, B. R. Nanda’s Mahatma Gandhi, and Rajmohan Gandhi’s The Good Boatman. In recent years, the Gandhi-Ambedkar relationship has also attracted a fair share of attention. Some of this has been polemical and even petty; as in Arun Shourie’s Worshipping False Gods (which is deeply unfair to Ambedkar), and Jabbar Patel’s film Ambedkar (which is inexplicably hostile to Gandhi). But there have also been some sensitive studies of the troubled relationship between the upper caste Hindu who abhorred Untouchability and the greatest of Dalit reformers. These include, on the political side, the essays of Eleanor Zelliott and Denis Dalton; and on the moral and psychological side, D. R. Nagaraj’s brilliant little book The Flaming Feet. By contrast, the Nehru-Ambedkar relationship has been consigned to obscurity. There is no book about it, nor, to my knowledge, even a decent scholarly article. That is a pity, because for several crucial years they worked together in the Government of India, as Prime Minister and Law Minister respectively.”

Ramachandra Guha (1958) historian and writer from India

[Guha, Ramachandra, REFORMING THE HINDUS, http://ramachandraguha.in/archives/reforming-the-hindus.html, The Hindu, July 18th, 2004]
Articles

Chögyam Trungpa photo
Syed Ahmed Khan photo
Luigi Russolo photo
Stephen Wolfram photo

“Computational reducibility may well be the exception rather than the rule: Most physical questions may be answerable only through irreducible amounts of computation. Those that concern idealized limits of infinite time, volume, or numerical precision can require arbitrarily long computations, and so be formally undecidable.”

Stephen Wolfram (1959) British-American computer scientist, mathematician, physicist, writer and businessman

[Undecidability and intractability in theoretical physics, Physical Review Letters, 54, 8, 1985, 735–738, 10.1103/PhysRevLett.54.735, https://www.stephenwolfram.com/publications/academic/undecidability-intractability-theoretical-physics.pdf]

Theobald Wolfe Tone photo

“Our independence must be had at all hazards. If the men of property will not support us, they must fall; we can support ourselves by the aid of that numerous and respectable class of the community, the men of no property.”

Theobald Wolfe Tone (1763–1798) Irish politician

Diary (11 March 1796), quoted in T. W. Moody, R. B. McDowell and C. J. Woods (eds.), The Writings of Theobold Wolfe Tone, 1763–98, Volume II: America, France and Bantry Bay, August 1795 to December 1796 (2001), p. 107

Adolf Hitler photo

“And numerous people whose families belong to the peasantry and working classes are now filling prominent positions in this National Socialist State. Some of them actually hold the highest offices in the leadership of the nation, as Cabinet Ministers, Reichsstatthalter and Gauleiter.”

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

But National Socialism always bears in mind the interests of the people as a whole and not the interests of one class or another. The National Socialist Revolution has not aimed at turning a privileged class into a class which will have no rights in the future. Its aim has been to grant equal rights to those social strata that hitherto were denied such rights.
Speech by Adolf Hitler, On National Socialism and World Relations http://research.calvin.edu/german-propaganda-archive/hitler1.htm, delivered in the German Reichstag (January 30, 1937). German translation published by H. Müller & Sohn in Berlin.
1930s

“Our discombobulated lives need to sink some anchors in numerical stability.”

Stephen Jay Gould (1941–2002) American evolutionary biologist

I still have not recovered from the rise of a pound of hamburger at the supermarket to more than a buck.
"A Time to Laugh", p. 82; originally published as "A Happy Mystery to Ponder: Why So Many Homers?" in The Wall Street Journal (2001-10-10)
Triumph and Tragedy in Mudville (2003)

Ralph Waldo Emerson photo
Immanuel Kant photo
Aimé Césaire photo
Enoch Powell photo
Charles Darwin photo

“To suppose that the eye with all its inimitable contrivances for adjusting the focus to different distances, for admitting different amounts of light, and for the correction of spherical and chromatic aberration, could have been formed by natural selection, seems, I freely confess, absurd in the highest degree. When it was first said that the sun stood still and the world turned round, the common sense of mankind declared the doctrine false; but the old saying of Vox populi, vox Dei, as every philosopher knows, cannot be trusted in science. Reason tells me, that if numerous gradations from a simple and imperfect eye to one complex and perfect can be shown to exist, each grade being useful to its possessor, as is certainly the case; if further, the eye ever varies and the variations be inherited, as is likewise certainly the case; and if such variations should be useful to any animal under changing conditions of life, then the difficulty of believing that a perfect and complex eye could be formed by natural selection, though insuperable by our imagination, should not be considered as subversive of the theory. How a nerve comes to be sensitive to light, hardly concerns us more than how life itself originated; but I may remark that, as some of the lowest organisms, in which nerves cannot be detected, are capable of perceiving light, it does not seem impossible that certain sensitive elements in their sarcode should become aggregated and developed into nerves, endowed with this special sensibilites.”

On the Origin of Species (1859)

Seneca the Younger photo
Frederick Douglass photo

“Had Abraham Lincoln died from any of the numerous ills to which flesh is heir; had he reached that good old age of which his vigorous constitution and his temperate habits gave promise; had he been permitted to see the end of his great work; had the solemn curtain of death come down but gradually, we should still have been smitten with a heavy grief, and treasured his name lovingly. But dying as he did die, by the red hand of violence, killed, assassinated, taken off without warning, not because of personal hate, for no man who knew Abraham Lincoln could hate him, but because of his fidelity to union and liberty, he is doubly dear to us, and his memory will be precious forever.”

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

Fellow citizens, I end, as I began, with congratulations. We have done a good work for our race today. In doing honor to the memory of our friend and liberator, we have been doing highest honors to ourselves and those who come after us. We have been fastening ourselves to a name and fame imperishable and immortal; we have also been defending ourselves from a blighting scandal. When now it shall be said that the colored man is soulless, that he has no appreciation of benefits or benefactors; when the foul reproach of ingratitude is hurled at us, and it is attempted to scourge us beyond the range of human brotherhood, we may calmly point to the monument we have this day erected to the memory of Abraham Lincoln.
1870s, Oratory in Memory of Abraham Lincoln (1876)

Paul von Hindenburg photo

“In case of a resumption of hostilities we are militarily in a position to reconquer, in the east, the province of Posen and to defend our frontier. In the west, we cannot, in view of the numerical superiority of the Entente and its ability to surround us on both flanks, count on repelling successfully a determined attack of our enemies. A favorable outcome of our operations is therefore very doubtful, but as a soldier I would rather perish in honor than sign a humiliating peace.”

Paul von Hindenburg (1847–1934) Prussian-German field marshal, statesman, and president of Germany

Letter to Friedrich Ebert after the Treaty of Versailles was presented to Germany (17 June 1919), quoted in Andreas Dorpalen, Hindenburg and the Weimar Republic (Princeton University Press, 1964), p. 39 and John W. Wheeler-Bennett, The Nemesis of Power: The German Army in Politics 1918-1945 (London: Macmillan, 1964), p. 52
Chief of the German General Staff

Theodor Mommsen photo

“The system of administration was thoroughly remodelled. The Sullan proconsuls and propraetors had been in their provinces essentially sovereign and practically subject to no control; those of Caesar were the well-disciplined servants of a stern master, who from the very unity and life-tenure of his power sustained a more natural and more tolerable relation to the subjects than those numerous, annually changing, petty tyrants. The governorships were no doubt still distributed among the annually-retiring two consuls and sixteen praetors, but, as the Imperator directly nominated eight of the latter and the distribution of the provinces among the competitors depended solely on him, they were in reality bestowed by the Imperator. The functions also of the governors were practically restricted. His memory was matchless, and it was easy for him to carry on several occupations simultaneously with equal self-possession. Although a gentleman, a man of genius, and a monarch, he had still a heart. So long as he lived, he cherished the purest veneration for his worthy mother Aurelia… to his daughter Julia he devoted an honourable affection, which was not without reflex influence even on political affairs. With the ablest and most excellent men of his time, of high and of humbler rank, he maintained noble relations of mutual fidelity… As he himself never abandoned any of his partisans… but adhered to his friends--and that not merely from calculation--through good and bad times without wavering, several of these, such as Aulus Hirtius and Gaius Matius, gave, even after his death, noble testimonies of their attachment to him. The superintendence of the administration of justice and the administrative control of the communities remained in their hands; but their command was paralyzed by the new supreme command in Rome and its adjutants associated with the governor, and the raising of the taxes was probably even now committed in the provinces substantially to imperial officials, so that the governor was thenceforward surrounded with an auxiliary staff which was absolutely dependent on the Imperator in virtue either of the laws of the military hierarchy or of the still stricter laws of domestic discipline. While hitherto the proconsul and his quaestor had appeared as if they were members of a gang of robbers despatched to levy contributions, the magistrates of Caesar were present to protect the weak against the strong; and, instead of the previous worse than useless control of the equestrian or senatorian tribunals, they had to answer for themselves at the bar of a just and unyielding monarch. The law as to exactions, the enactments of which Caesar had already in his first consulate made more stringent, was applied by him against the chief commandants in the provinces with an inexorable severity going even beyond its letter; and the tax-officers, if indeed they ventured to indulge in an injustice, atoned for it to their master, as slaves and freedmen according to the cruel domestic law of that time were wont to atone.”

Theodor Mommsen (1817–1903) German classical scholar, historian, jurist, journalist, politician, archaeologist and writer

Vol. 4, pt. 2, translated by W.P.Dickson
The History of Rome - Volume 4: Part 2

Elizabeth Warren photo

“For years, when I was the culture editor at Indian Country Today Media Network, we requested interviews with Warren, but not once did she accept our numerous invitations for comment or explanation regarding her alleged ancestry. She simply ignored us.”

Elizabeth Warren (1949) 28th United States Senator from Massachusetts

Simon Moya-Smith, I am a Native American. I have some questions for Elizabeth Warren https://www.cnn.com/2018/10/15/opinions/elizabeth-warren-native-heritage-where-has-she-been-moya-smith/index.html, CNN.com, October 15, 2018

Chang Guan-chung photo

“We intend to make use of the natural buffer zone of the Taiwan Strait and our geostrategic advantages (in the case of conflicts with Mainland China). We adopt innovative and asymmetric concepts to focus our investment on systems that are mobile, hard to find, agile, cheap, numerous, survivable and operationally effective.”

Chang Guan-chung (1959) Taiwanese military personel

Chang Guan-chung (2019) cited in " Taiwan seeking long-term U.S. logistic support: defense official http://focustaiwan.tw/news/aipl/201910080004.aspx" on Focus Taiwan, 8 October 2019

Ananda K. Coomaraswamy photo

“He was definitely an apologist of Hinduism, a defender of Hindu values and traditions (including the caste system) against the numerous misconceptions and prejudices common among the Western and anglicized-Indian audiences.”

Ananda K. Coomaraswamy (1877–1947) Ceylon-American art historian

Elst, Koenraad (2002). Who is a Hindu?: Hindu revivalist views of Animism, Buddhism, Sikhism, and other offshoots of Hinduism. ISBN 978-8185990743

“It was Pythagoras who discovered that the 5th and the octave of a note could be produced on the same string by stopping at 2⁄3 and ½ of its length respectively. Harmony therefore depends on a numerical proportion. It was this discovery, according to Hankel, which led Pythagoras to his philosophy of number. It is probable at least that the name harmonical proportion was due to it, since1:½ :: (1-½):(2⁄3-½).Iamblichus says that this proportion was called ύπ eναντία originally and that Archytas and Hippasus first called it harmonic.”

James Gow (scholar) (1854–1923) scholar

Nicomachus gives another reason for the name, viz. that a cube being of 3 equal dimensions, was the pattern &#940;&rho;&mu;&omicron;&nu;&#943;&alpha;: and having 12 edges, 8 corners, 6 faces, it gave its name to harmonic proportion, since:<center>12:6 :: 12-8:8-6</center>
Footnote, citing Vide Cantor, Vorles [Vorlesüngen über Geschichte der Mathematik ?] p 152. Nesselmann p. 214 n. Hankel. p. 105 sqq.
A Short History of Greek Mathematics (1884)

Willem de Sitter photo

“Both the law of inertia and the law of gravitation contain a numerical factor or a constant belonging to matter, which is called mass.”

Willem de Sitter (1872–1934) Dutch cosmologist

We have thus two definitions of mass; one by the law of inertia: mass is the ratio between force and acceleration. We may call the mass thus defined the inertial or passive mass, as it is a measure of the resistance offered by matter to a force acting on it. The second is defined by the law of gravitation, and might be called the gravitational or active mass, being a measure of the force exerted by one material body on another. The fact that these two constants or coefficients are the same is, in Newton's system, to be considered as a most remarkable accidental coincidence and was decidedly felt as such by Newton himself. He made experiments to determine the equality of the two masses by swinging a pendulum, of which the bob was hollow and could be filled up with different materials. The force acting on the pendulum is proportional to its active mass, its inertia is proportional to its passive mass, so that the period will depend on the ratio of the passive and the active mass. Consequently the fact that the period of all these different pendulums was the same, proves that this ratio is a constant, and can be made equal to unity by a suitable choice of units, i.e., the inertial and the gravitational mass are the same. These experiments have been repeated in the nineteenth century by Bessel, and in our own times by Eötvös and Zeeman, and the identity of the inertial and the gravitational mass is one of the best ascertained empirical facts in physics-perhaps the best. It follows that the so-called fictitious forces introduced by a motion of the body of reference, such as a rotation, are indistinguishable from real forces. ...In Einstein's general theory of relativity there is also no formal theoretical difference, as there was in Newton's system. ...the equality of inertial and gravitational mass is no longer an accidental coincidence, but a necessity.
"The Astronomical Aspect of the Theory of Relativity" (1933)

Swathi Thirunal Rama Varma photo
Tulsidas photo
John Banville photo

“Saturday is a dismayingly bad book. The numerous set pieces—brain operations, squash game, the encounters with Baxter, etc.”

John Banville (1945) Irish writer

are hinged together with the subtlety of a child's Erector Set. The characters too, for all the nuzzling and cuddling and punching and manhandling in which they are made to indulge, drift in their separate spheres, together but never touching, like the dim stars of a lost galaxy. The politics of the book is banal, of the sort that is to be heard at any middle-class Saturday-night dinner party, before the talk moves on to property prices and recipes for fish stew. There are good things here, for instance the scene when Perowne visits his senile mother in an old-folks' home, in which the writing is genuinely affecting in its simplicity and empathetic force. Overall, however, Saturday has the feel of a neoliberal polemic gone badly wrong; if Tony Blair — who makes a fleeting personal appearance in the book, oozing insincerity — were to appoint a committee to produce a "novel for our time," the result would surely be something like this.
Banville on Saturday http://marksarvas.blogs.com/elegvar/2005/05/banville_on_sat.html, from The New York Review of Books (source dated 10 May 2005). Original source http://www.nybooks.com/articles/archives/2005/may/26/a-day-in-the-life/?pagination=false.

Maimónides photo
Joseph Campbell photo
Martin Luther King, Jr. photo
Donald Ervin Knuth photo

“The reason is not to glorify "bit chasing"; a more fundamental issue is at stake here: Numerical subroutines should deliver results that satisfy simple, useful mathematical laws whenever possible.”

[...] Without any underlying symmetry properties, the job of proving interesting results becomes extremely unpleasant. The enjoyment of one's tools is an essential ingredient of successful work.
Vol. II, Seminumerical Algorithms, Section 4.2.2 part A, final paragraph [Italics in source]
The Art of Computer Programming (1968–2011)

Rob Pike photo

“Syntax highlighting is juvenile. When I was a child, I was taught arithmetic using [http://en.wikipedia.org/wiki/Cuisenaire_rods colored rods]. I grew up and today I use monochromatic numerals.”

Rob Pike (1956) software engineer

Rob Pike (2012) in golang-nuts https://groups.google.com/forum/#!msg/golang-nuts/hJHCAaiL0so/kG3BHV6QFfIJ group at groups.google.com, Oct 28 2012

“An experience must be a universal across times as well as across brains. This experience of being you, here now, would be numerically the same whenever, as well as wherever, it was realized.”

Arnold Zuboff (1946) American philosopher

" One self: The logic of experience https://philarchive.org/rec/ZUBOST", Inquiry: An Interdisciplinary Journal of Philosophy, Vol. 33, Iss. 1 (1990), p. 44

Rosa Luxemburg photo
Gottlieb Wilhelm Leitner photo

“The numerical side of the theory of relativity is derived from the failure of all attempts to detect the relative motion of matter and ether.”

Herbert Dingle (1890–1978) British astronomer

page 23 https://books.google.com/books?id=hwpKAAAAIAAJ&pg=PA23
Relativity for All, London, 1922

Ibn Hazm photo
Annie Besant photo
Elizabeth Blackwell photo

“Marry women who will love their hus­bands and be very prolific, for I want you to be more numerous than any other people.”

Thomas Hughes (priest) (1838–1911) British missionary

Quoted from T.P. Hughes: Dictionary of Islam, p.314, who refers to book 13 of Mishkatu'l Masa­bih ("nic­hes for lamps [of the tradition]", a compilation of Sunni tradit­ions by the 12th-century Imam Husain al-Baghaw­i, expanded in the 14th century by Shaykh Waliuddin). Also quoted Elst, Koenraad. (1997) The Demographic Siege
Dictionary of Islam