Quotes about number
page 22

Leonard Mlodinow photo
Michele Simon photo
David Hilbert photo

“One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it.”

David Hilbert (1862–1943) German prominent mathematician

Quoted in Mathematical Circles Revisited (1971) by Howard Whitley Eves

Gancho Tsenov photo
Ken Wilber photo
John Ruskin photo
Henry Temple, 3rd Viscount Palmerston photo

“I am far from wishing to treat lightly or inconsiderately the evils attendant upon a standing army. The history of those countries where standing armies have been allowed to usurp an ascendancy over the civil authorities, is a volume pregnant with instruction to every one. We may look at France, for instance, and derive a lesson of eternal importance. But when it is said, that in ancient Rome twelve thousand praetorian bands were potent enough to dispose of that empire according to their will and pleasure, it should be remembered that that was the result of a number of pre-disposing causes, which have no existence in England. Before the civil constitution of any country can be overturned by a standing army, the people of that country must be lamentably degenerate; they must be debased and enervated by all the worst excesses of an arbitrary and despotic government; their martial spirit must be extinguished; they must be brought to a state of political degradation, I may almost say of political emasculation, such as few countries experience that have once known the blessings of liberty.”

Henry Temple, 3rd Viscount Palmerston (1784–1865) British politician

Speech in the House of Commons (8 March 1816), quoted in George Henry Francis, Opinions and Policy of the Right Honourable Viscount Palmerston, G.C.B., M.P., &c. as Minister, Diplomatist, and Statesman, During More Than Forty Years of Public Life (London: Colburn and Co., 1852), p. 12.
1810s

James A. Garfield photo

“I am receiving what I suppose to be the usual number of threatening letters on the subject. Assassination can be no more guarded against than death by lightning; it is best not to worry about either.”

James A. Garfield (1831–1881) American politician, 20th President of the United States (in office in 1881)

As quoted in Garfield of Ohio : The Available Man (1970) by John M. Tyler

Jorge Luis Borges photo
Ernest Howard Crosby photo

“If judge and jury had to hang the prisoner themselves in cold blood, there would be fewer executions; if we each had to butcher our own meat, there would be a great increase in the number of vegetarians.”

Ernest Howard Crosby (1856–1907) American politician

Tolstoy and His Message (New York: Funk and Wagnall's Company, 1904), p. 53 https://archive.org/stream/tolstoyhismessa00cros#page/52.

Siméon Denis Poisson photo
Bruce Fein photo
Zeev Sternhell photo
Tony Abbott photo

“While I think men and women are equal, they are also different and I think it's inevitable and I don't think it's a bad thing at all that we always have, say, more women doing things like physiotherapy and an enormous number of women simply doing housework”

Tony Abbott (1957) Australian politician

Quoted in "Rudd hands PM a crucial lifeline" by : Laurie Oakes http://www.heraldsun.com.au/opinion/rudd-hands-pm-a-crucial-lifeline/story-e6frfhqf-1225902277655 in the Herald Sun, August 6, 2010.
2010

Muhammad bin Tughluq photo

“During Muslim rule in India, foreign and Indian Muslims were freely bestowed jobs and gifts. Foreign Muslims were most welcome here. They came in large numbers and were well provided for. Muhammad Tughlaq was specially kind to them, as averred by Ibn Battutah. He writes that "the countries contiguous to India like Yemen, Khurasan and Fars are filled with anecdotes about… his generosity to the foreigners in so far as he prefers them to the Indians, honours them, confers on them great favours and makes them rich presents and appoints them to high offices and awards them great benefits". He calls them aziz or dear ones and has instructed his courtiers not to address them as foreigners. 'The sultan ordered for me," writes Ibn Battutah, "a sum of six thousand tankahs, and ordered a sum of ten thousand for Ibn Qazi Misr. Similarly, he ordered sums to be given to all foreigners (a'izza) who were to stay at Delhi, but nothing was given to the metropolitans."… There are scores of instances of Muhammad Tughlaq's generosity to foreigners…. The point to note here is that under Sultan Muhammad so much wealth was awarded to so many deserving and undeserving foreign Muslims that at the close of his reign the Delhi treasury had become bankrupt. There was also the loss of popularity because "the people of India hate the foreigners (Persians, Turks, Khurasanis) because of the favour the sultan shows them."”

Muhammad bin Tughluq (1290–1351) Turkic Sultan of Delhi

Ibn Battutah, trs. Mahdi Husain, p. 105-140. quoted from Lal, K. S. (1999). Theory and practice of Muslim state in India. New Delhi: Aditya Prakashan. Chapter 5

Donald J. Trump photo

“They had a person who was extremely proud that a number of the women had become doctors. And I wasn't interested.”

Donald J. Trump (1946) 45th President of the United States of America

Comments about his ownership of Miss Universe on the Howard Stern Show https://soundcloud.com/user-735086019/101g1 (11 April 2005)
2000s

Jane Goodall photo

“This very real difference between GM plants and their conventional counterparts is one of the basic truths that biotech proponents have endeavoured to obscure. As part of the process, they portrayed the various concerns as merely the ignorant opinions of misinformed individuals – and derided them as not only unscientific, but anti-science.
They then set to work to convince the public and government officials, through the dissemination of false information, that there was an overwhelming expert consensus, based on solid evidence, that the new foods were safe. Yet this, as Druker points out, was clearly not true.
Druker describes how amazingly successful the biotech lobby has been – and the extent to which the general public and government decision makers have been hoodwinked by the clever and methodical twisting of the facts and the propagation of many myths. Moreover, it appears that a number of respected scientific institutions, as well as many eminent scientists, were complicit in this relentless spreading of disinformation.”

Jane Goodall (1934) British primatologist, ethologist, and anthropologist

Senior academic condemns ‘deluded’ supporters of GM food as being ‘anti-science’ and ignoring evidence of dangers (4 March 2015) http://www.dailymail.co.uk/news/article-2979645/Senior-academic-condemns-deluded-supporters-GM-food-anti-science-ignoring-evidence-dangers.html#ixzz4BZ4NnMuY
Foreword to Altered Genes, Twisted Truth (2015)

John Dalton photo

“Bin Laden's real audience is the Middle East, his other Muslims. I think he thought that, by this act, he would win large numbers of converts to his cause … [to] bring Arab regimes down. He would perhaps even take power in this or that country, preferably Saudi Arabia. That is where he is looking to; that is who is the audience. That is who his symbols are directed towards. So this is unlike anything else in the history of Islam. Early Muslims, when they left the Arabian Peninsula and entered the [Fertile Crescent], were conquerors. They converted peoples, and they gave them time to convert. So they didn't force them sometimes, and they were perfectly happy ruling over them. They were setting up a state, and then people converted over time. Syria remained Christian for hundreds of years after the Muslim conquest. So something different is going on here. The obvious sense in which the United States is evil is in the cultural icons that are seen everywhere. They are seemingly trivial things, the influence of the America culture, which is everywhere: TV, how women dress, the lack of importance of religion. So these are the senses in which they are rejecting the United States. But you're right; they don't see Americans as people. … They block that out. They only see as people the Muslims they want to convert to their side, and that's terrifying.”

Kanan Makiya (1949) American orientalist

"Faith and Doubt at Ground Zero" http://www.pbs.org/wgbh/pages/frontline/shows/faith/interviews/makiya.html, PBS Frontline (2002)

Letitia Elizabeth Landon photo
Adrian Slywotzky photo
Jerry Coyne photo

“When facing “scientific” arguments for God like these, ask yourself three questions. First, what’s more likely: that these are puzzles only because we refuse to see God as an answer, or simply because science hasn’t yet provided a naturalistic answer? In other words, is the religious explanation so compelling that we can tell scientists to stop working on the evolution and mechanics of consciousness, or on the origin of life, because there can never be a naturalistic explanation? Given the remarkable ability of science to solve problems once considered intractable, and the number of scientific phenomena that weren’t even known a hundred years ago, it’s probably more judicious to admit ignorance than to tout divinity.
Second, if invoking God seems more appealing than admitting scientific ignorance, ask yourself if religious explanations do anything more than rationalize our ignorance. That is, does the God hypothesis provide independent and novel predictions or clarify things once seen as puzzling—as truly scientific hypotheses do? Or are religious explanations simply stop-gaps that lead nowhere?…Does invoking God to explain the fine-tuning of the universe explain anything else about the universe? If not, then that brand of natural theology isn’t really science, but special pleading.
Finally, even if you attribute scientifically unexplained phenomena to God, ask yourself if the explanation gives evidence for your God—the God who undergirds your religion and your morality. If we do find evidence for, say, a supernatural origin of morality, can it be ascribed to the Christian God, or to Allah, Brahma, or any one god among the thousands worshipped on Earth? I’ve never seen advocates of natural theology address this question.”

Source: Faith vs. Fact (2015), pp. 156-157

Mitt Romney photo

“I actually think it will be interesting to listen to the President tonight. What I'd like him to do is report on his promises but there are forgotten promises and forgotten people. Over the last four years, the President has said that he was going to create jobs for the American people and that hasn't happened. He said he would cut the deficit in half and that hasn't happened. He said that incomes would rise and instead incomes have gone down. And I think this is a time not for him not to start restating new promises but to report on the promises he made. I think he wants a promises reset. We want a report on the promises he made. And that means let's hear some numbers. Let's hear 16. Sixteen trillion dollars of debt. This is very different than the promise he made. Let's hear the number 47. 47 million people in this country on food stamps. When he took office, 33 million people were on food stamps. Let's understand why it was he's been unsuccessful in helping alleviate poverty in this country. Why so many people have fallen from the middle class into poverty under this president. Let's have him explain to the American people the 50% number. Why 50% of college graduates can't find work or work that is consistent with their college degree. The President needs to report tonight on his promises rather than try and reset a whole series of new promises that he also won't be able to keep.”

Mitt Romney (1947) American businessman and politician

2012-09-06
http://mittromneycentral.com/2012/09/06/romney-on-obamas-speech-tonight-americans-want-a-report-on-presidents-promises/
Romney on Obama’s Speech Tonight: Americans Want A Report On President’s Promises
Mitt Romney Central
2012

John F. Kennedy photo

“This State, this city, this campus, have stood long for both human rights and human enlightenment — and let that forever be true. This Nation is now engaged in a continuing debate about the rights of a portion of its citizens. This Nation is now engaged in a continuing debate about the rights of a portion of its citizens. That will go on, and those rights will expand until the standard first forged by the Nation's founders has been reached, and all Americans enjoy equal opportunity and liberty under law. But this Nation was not founded solely on the principle of citizens' rights. Equally important, though too often not discussed, is the citizen's responsibility. For our privileges can be no greater than our obligations. The protection of our rights can endure no longer than the performance of our responsibilities. Each can be neglected only at the peril of the other. I speak to you today, therefore, not of your rights as Americans, but of your responsibilities. They are many in number and different in nature. They do not rest with equal weight upon the shoulders of all. Equality of opportunity does not mean equality of responsibility. All Americans must be responsible citizens, but some must be more responsible than others, by virtue of their public or their private position, their role in the family or community, their prospects for the future, or their legacy from the past. Increased responsibility goes with increased ability, for "of those to whom much is given, much is required."”

John F. Kennedy (1917–1963) 35th president of the United States of America

1963, Address at Vanderbilt University

Noam Elkies photo

“One does not have to have experience raising children through school, dealing with family tragedies, and so forth, to be able to find three numbers whose fourth powers add up to another one.”

Noam Elkies (1966) American mathematician

Are Mathematicians Past Their Prime at 35? http://www.massey.ac.nz/~rmclachl/overthehill.html

Max Horkheimer photo

“The number of levels of authority in the management hierarchy increased with technical complexity, while the span of control of the first-line supervisor decreased.”

Joan Woodward (1916–1971) British sociologist

Source: Management and technology, Problems of Progress Industry, 1958, p. 16

Thomas Little Heath photo
William Ewart Gladstone photo
Ralph Waldo Emerson photo
Georg Cantor photo
E. W. Hobson photo

“The second period, which commenced in the middle of the seventeenth century, and lasted for about a century, was characterized by the application of the powerful analytical methods provided by the new Analysis to the determination of analytical expressions for the number π in the form of convergent series, products, and continued fractions. The older geometrical forms of investigation gave way to analytical processes in which the functional relationship as applied to the trigonometrical functions became prominent. The new methods of systematic representation gave rise to a race of calculators of π, who, in their consciousness of the vastly enhance means of calculation placed in their hands by the new Analysis, proceeded to apply the formulae to obtain numerical approximations to π to ever larger numbers of places of decimals, although their efforts were quite useless for the purpose of throwing light upon the true nature of that number. At the end of this period no knowledge had been obtained as regards the number π of the kind likely to throw light upon the possibility or impossibility of the old historical problem of the ideal construction; it was not even definitely known whether the number is rational or irrational. However, one great discovery, destined to furnish the clue to the solution of the problem, was made at this time; that of the relation between the two numbers π and e, as a particular case of those exponential expressions for the trigonometrical functions which form one of the most fundamentally important of the analytical weapons forged during this period.”

E. W. Hobson (1856–1933) British mathematician

Source: Squaring the Circle (1913), pp. 11-12

Kurt Lewin photo
Kevin Kelly photo

“Mathematics says the sum value of a network increases as the square of the number of members. In other words, as the number of nodes in a network increases arithmetically, the value of the network increases exponentially. Adding a few more members can dramatically increase the value of the network.”

Kevin Kelly (1952) American author and editor

Out of Control: The New Biology of Machines, Social Systems and the Economic World (1995), New Rules for the New Economy: 10 Radical Strategies for a Connected World (1999)

Don DeLillo photo

“Let us consider, for a moment, the world as described by the physicist. It consists of a number of fundamental particles which, if shot through their own space, appear as waves, and are thus… of the same laminated structure as pearls or onions, and other wave forms called electromagnetic which it is convenient, by Occam’s razor, to consider as travelling through space with a standard velocity. All these appear bound by certain natural laws which indicate the form of their relationship.
Now the physicist himself, who describes all this, is, in his own account, himself constructed of it. He is, in short, made of a conglomeration of the very particulars he describes, no more, no less, bound together by and obeying such general laws as he himself has managed to find and to record.
Thus we cannot escape the fact that the world we know is constructed in order (and thus in such a way as to be able) to see itself.
This is indeed amazing.
Not so much in view of what it sees, although this may appear fantastic enough, but in respect of the fact that it can see at all.
But in order to do so, evidently it must first cut itself up into at least one state which sees, and at least one other state which is seen. In this severed and mutilated condition, whatever it sees is only partially itself. We may take it that the world undoubtedly is itself (i. e. is indistinct from itself), but, in any attempt to see itself as an object, it must, equally undoubtedly, act so as to make itself distinct from, and therefore false to, itself. In this condition it will always partially elude itself.”

G. Spencer-Brown (1923–2016) British mathematician

Source: Laws of Form, (1969), p. 104-05; as cited in: David Phillip Barndollar (2004) The Poetics of Complexity and the Modern Long Poem https://www.lib.utexas.edu/etd/d/2004/barndollardp50540/barndollardp50540.pdf, The University of Texas at Austin, p. 12-13.

William Westmoreland photo
Auguste Rodin photo
John Napier photo

“And if any number of equals to a first sine be multiplied together producing a second, just so many equals to the Logarithm of the first added together produce the Logarithm of the second.”

John Napier (1550–1617) Scottish mathematician

Appendix, The relations of Logarithms & their natural numbers to each other
The Construction of the Wonderful Canon of Logarithms (1889)

Samuel Taylor Coleridge photo
Robert J. Sawyer photo

“There may be oodles of possible humans, but it is a finite number.”

Source: Flashforward (1999), Chapter 16 (p. 167)

Monier Monier-Williams photo
Joey Comeau photo
Mark Wahlberg photo
George Bernard Shaw photo

“The secret of success is to offend the greatest number of people.”

George Bernard Shaw (1856–1950) Irish playwright

As quoted in Days with Bernard Shaw (1949) by Stephen Winsten
1940s and later

David Attenborough photo
Sher Shah Suri photo

“…Upon this, Sher Shah turned again towards Kalinjar… The Raja of Kalinjar, Kirat Sing, did not come out to meet him. So he ordered the fort to be invested, and threw up mounds against it, and in a short time the mounds rose so high that they overtopped the fort. The men who were in the streets and houses were exposed, and the Afghans shot them with their arrows and muskets from off the mounds. The cause of this tedious mode of capturing the fort was this. Among the women of Raja Kirat Sing was a Patar slave-girl, that is a dancing-girl. The king had heard exceeding praise of her, and he considered how to get possession of her, for he feared lest if he stormed the fort, the Raja Kirat Sing would certainly make a jauhar, and would burn the girl…
“On Friday, the 9th of RabI’u-l awwal, 952 A. H., when one watch and two hours of the day was over, Sher Shah called for his breakfast, and ate with his ‘ulama and priests, without whom he never breakfasted. In the midst of breakfast, Shaikh NizAm said, ‘There is nothing equal to a religious war against the infidels. If you be slain you become a martyr, if you live you become a ghazi.’ When Sher Shah had finished eating his breakfast, he ordered Darya Khan to bring loaded shells, and went up to the top of a mound, and with his own hand shot off many arrows, and said, ‘Darya Khan comes not; he delays very long.’ But when they were at last brought, Sher Shah came down from the mound, and stood where they were placed. While the men were employed in discharging them, by the will of Allah Almighty, one shell full of gunpowder struck on the gate of the fort and broke, and came and fell where a great number of other shells were placed. Those which were loaded all began to explode. Shaikh Halil, Shaikh Nizam, and other learned men, and most of the others escaped and were not burnt, but they brought out Sher Shah partially burnt. A young princess who was standing by the rockets was burnt to death. When Sher Shah was carried into his tent, all his nobles assembled in darbAr; and he sent for ‘Isa Khan Hajib and Masnad Khan Kalkapur, the son-in-law of Isa Khan, and the paternal uncle of the author, to come into his tent, and ordered them to take the fort while he was yet alive. When ‘Isa Khan came out and told the chiefs that it was Sher Shah’s order that they should attack on every side and capture the fort, men came and swarmed out instantly on every side like ants and locusts; and by the time of afternoon prayers captured the fort, putting every one to the sword, and sending all the infidels to hell. About the hour of evening prayers, the intelligence of the victory reached Sher Shah, and marks of joy and pleasure appeared on his countenance. Raja Kirat Sing, with seventy men, remained in a house. Kutb Khan the whole night long watched the house in person lest the Raja should escape. Sher Shah said to his sons that none of his nobles need watch the house, so that the Raja escaped out of the house, and the labour and trouble of this long watching was lost. The next day at sunrise, however, they took the Raja alive…””

Sher Shah Suri (1486–1545) founder of Sur Empire in Northern India

Tarikh-i-Sher Shahi of Abbas Khan Sherwani in Elliot and Dowson, History of India as told by its own Historians, Volume IV, pp. 407-09. Quoted in S.R.Goel, The Calcutta Quran Petition

Mohammad Khatami photo
George Herbert photo

“310. Keep not ill men company, lest you increase the number.”

George Herbert (1593–1633) Welsh-born English poet, orator and Anglican priest

Jacula Prudentum (1651)

Norman Tebbit photo
George Bird Evans photo
Rush Limbaugh photo

“And I'm not going to apologize for it, I'm just quoting Emanuel. It's in the news. I think the news is that he's out there calling Obama's number one supporters effing retards. So now there's going to be a meeting. There's going to be a retard summit at the White House, much like the beer summit between Obama and Gates and that cop in Cambridge.”

Rush Limbaugh (1951) U.S. radio talk show host, Commentator, author, and television personality

Rush Limbaugh: ‘There’s Going to Be a Retard Summit at the White House’
New York
2010-02-03
Chris
Rovzar
http://nymag.com/daily/intel/2010/02/rush_limbaugh_theres_going_to.html

William Westmoreland photo
John of St. Samson photo
Benedict Arnold photo

“The drafts from the regiments at Ticonderoga are a miserable set; indeed the men on board the fleet, in general, are not equal to half their number of good men.”

Benedict Arnold (1741–1801) Continental and later British Army general during the American Revolutionary War

Letter to General Gates (21 September 1776), in Battle of Valcour on Lake Champlain, October 11th, 1776 by Peter Sailly Palmer(1876) p. 5

Peter L. Berger photo
John Banville photo
Rensis Likert photo
Nathanael Greene photo
Edmund Burke photo
Isaac Asimov photo

“Plowboy: In your opinion, what are mankind's prospects for the near future?
Asimov: To tell the truth, I don't think the odds are very good that we can solve our immediate problems. I think the chances that civilization will survive more than another 30 years—that it will still be flourishing in 2010—are less than 50 percent.
Plowboy: What sort of disaster do you foresee?
Asimov: I imagine that as population continues to increase—and as the available resources decrease—there will be less energy and food, so we'll all enter a stage of scrounging. The average person's only concerns will be where he or she can get the next meal, the next cigarette, the next means of transportation. In such a universal scramble, the Earth will be just plain desolated, because everyone will be striving merely to survive regardless of the cost to the environment. Put it this way: If I have to choose between saving myself and saving a tree, I'm going to choose me.
Terrorism will also become a way of life in a world marked by severe shortages. Finally, some government will be bound to decide that the only way to get what its people need is to destroy another nation and take its goods … by pushing the nuclear button.
And this absolute chaos is going to develop—even if nobody wants nuclear war and even if everybody sincerely wants peace and social justice—if the number of mouths to feed continues to grow. Nothing will be able to stand up against the pressure of the whole of humankind simply trying to stay alive!”

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

Mother Earth News interview (1980)

Carl I. Hagen photo

“Politicians and bureaucrats are the new upper class in Norway. It is an upper class that is growing by an increasing number of top-paid politicians in municipalities and counties. They let the people suffer, but let themselves go free.”

Carl I. Hagen (1944) Norwegian politician

Speech at the Progress Party national convention of 1987, published in Aftenposten (16 June 2006) http://www.aftenposten.no/nyheter/iriks/article1354131.ece

Alfred Binet photo
Robert A. Heinlein photo
Jerome K. Jerome photo
George William Curtis photo

“Pooh! Pooh! Nonsense!' was the reply, 'that's all very well in theory, but it doesn't work so. The returning of slaves amounts to nothing in fact. All that is obsolete. And why make all this row? Can't you hush? We've nothing to do with slavery, we tell you. We can't touch it; and if you persist in this agitation about a mere form and theory, why, you're a set of pestilent fanatics and traitors; and if you get your noisy heads broken, you get just what you deserve'. And they quoted in the faces of the abolitionists the words of Governor Edward Everett, who was not an authority with them, in that fatal inaugural address, 'The patriotism of all classes of citizens must be invited to abstain from a discussion which, by exasperating the master, can have no other effect than to render more oppressive the condition of the slave'. It was as if some kindly Pharisee had said to Christ, 'Don't try to cast out that evil spirit; it may rend the body on departing'. Was it not as if some timid citizen had said, 'Don't say hard things of intemperance lest the dram-shops, to spite us, should give away the rum'? And so the battle raged. The abolitionists dashed against slavery with passionate eloquence like a hail of hissing fire. They lashed its supporters with the scorpion whip of their invective. Ambition, reputation, ortune, ease, life itself they threw upon the consuming altar of their cause. Not since those earlier fanatics of freedom, Patrick Henry and James Otis, has the master chord of human nature, the love of liberty, been struck with such resounding power. It seemed in vain, so slowly their numbers increased, so totally were they outlawed from social and political and ecclesiastical recognition. The merchants of Boston mobbed an editor for virtually repeating the Declaration of Independence. The city of New York looked on and smiled while the present United States marshal insulted a woman as noble and womanly and humane as Florence Nightingale. In other free States men were flying for their lives; were mobbed, seized, imprisoned, maimed, murdered; but still as, in the bitter days of Puritan persecution in Scotland, the undaunted voices of the Covenanters were heard singing the solemn songs of God that echoed and re-echoed from peak to peak of the barren mountains, until the great dumb wilderness was vocal with praise — so in little towns and great cities were heard the uncompromising voices of these men sternly intoning the majestic words of the Golden Rule and the Declaration of Independence, which echoed from solitary heart to heart until the whole land rang with the litany of liberty.”

George William Curtis (1824–1892) American writer

1850s, The Present Aspect of the Slavery Question (1859)

“Solutions require thinking through a series of interrelated steps or stages, analyzing a number of rules at each point, and always keeping in mind conclusions reached at earlier points.”

John Thibaut (1917–1986) American social psychologist

Harold Kelley and John W. Thibaut. "Group problem solving." The handbook of social psychology 4 (1969): 1-101; p. 69-70

Jorge Majfud photo
Mitt Romney photo
John Dewey photo
Al Gore photo
Joel Mokyr photo
Lyndon B. Johnson photo

“By the oath I have taken "to preserve, protect and defend the Constitution of the United States," duty directs — and strong personal conviction impels — that I advise the Congress that action is necessary, and necessary now, if the Constitution is to be upheld and the rights of all citizens are not to be mocked, abused and denied. I must regretfully report to the Congress the following facts:
1. That the Fifteenth Amendment of our Constitution is today being systematically and willfully circumvented in certain State and local jurisdictions of our Nation.
2. That representatives of such State and local governments acting "under the color of law," are denying American citizens the right to vote on the sole basis of race or color.
3. That, as a result of these practices, in some areas of our country today no significant number of American citizens of the Negro race can be registered to vote except upon the intervention and order of a Federal Court.
4. That the remedies available under law to citizens thus denied their Constitutional rights — and the authority presently available to the Federal Government to act in their behalf — are clearly inadequate.
5. That the denial of these rights and the frustration of efforts to obtain meaningful relief from such denial without undue delay is contributing to the creation of conditions which are both inimical to our domestic order and tranquillity and incompatible with the standards of equal justice and individual dignity on which our society stands.
I am, therefore, calling upon the Congress to discharge the duty authorized in Section 2 of the Fifteenth Amendment "to enforce this Article by appropriate legislation."”

Lyndon B. Johnson (1908–1973) American politician, 36th president of the United States (in office from 1963 to 1969)

1960s, Special message to Congress on the right to vote (1965)

Paul Blobel photo
Jerry Seinfeld photo
Sydney Smith photo

“Have the courage to be ignorant of a great number of things, in order to avoid the calamity of being ignorant of everything.”

Sydney Smith (1771–1845) English writer and clergyman

Lecture IX : On the Conduct of the Understanding
Elementary Sketches of Moral Philosophy (1849)

Pliny the Younger photo

“Votes go by number, not weight; nor can it be otherwise in assemblies of this kind, where nothing is more unequal than that equality which prevails in them.”
Numerantur enim sententiae, non ponderantur; nec aliud in publico consilio potest fieri, in quo nihil est tam inaequale quam aequalitas ipsa.

Pliny the Younger (61–113) Roman writer

Letter 12, 5.
Letters, Book II

Hilary Putnam photo

“The physicist who states a law of nature with the aid of a mathematical formula is abstracting a real feature of a real material world, even if he has to speak of numbers, vectors, tensors, state-functions, or whatever to make the abstraction.”

Hilary Putnam (1926–2016) American philosopher

in What is Mathematics, in [Hilary Putnam, Mathematics, matter, and method, Cambridge University Press, 1979, 0521295505, 60]

Claude Adrien Helvétius photo
Maxwell D. Taylor photo
Jacek Tylicki photo
William Burges photo

“We now come to a third evil, namely, our very unsatisfactory, not to say ugly, furniture. It may be objected that it does not much matter what may be the exact curve of the legs of the chair a man sits upon, or of the table off which he eats his dinner, provided the said articles of furniture answer their respective uses; but, unfortunately, what we see continually before our eyes is likely, indeed is quite sure, to exercise a very great influence upon our taste, and therefore the question of beautiful versus ugly furniture does become a matter of very great importance. I might easily enlarge upon the enormities, inconveniences, and extravagances of our modern upholsterers, but that has been so fully done in a recent number of the "Cornhill Magazine" that I may well dispense with the task.”

William Burges (1827–1881) English architect

Eastop & Gil commented that:
Burges held strong views about furniture, and protested at the "enormities, inconveniences, and upholsterers." (1865: 69) He advocated the use of the medieval style, because "not only did its duty as furniture, but spoke and told a story" (1865: 71).
Source: Art applied to industry: a series of lectures, 1865, p. 69: Partly cited in: Dinah Eastop, ‎Kathryn Gill (2012) Upholstery Conservation: Principles and Practice. http://books.google.com/books?id=2gf50OiP8lAC&pg=PA50 p. 47.

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“Those skilled in mathematical analysis know that its object is not simply to calculate numbers, but that it is also employed to find the relations between magnitudes which cannot be expressed in numbers and between functions whose law is not capable of algebraic expression.”

Source: Researches into the Mathematical Principles of the Theory of Wealth, 1897, p. 3 ; Cited in: Robert Edouard Moritz. Memorabilia mathematica; or, The philomath's quotation-book https://archive.org/stream/memorabiliamathe00moriiala#page/198/mode/2up, (1914) p. 33: About the nature of mathematics

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