Quotes about reach
page 9

Niels Henrik Abel photo

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

Niels Henrik Abel (1802–1829) Norwegian mathematician

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

John Donne photo
Jerome K. Jerome photo
Samuel Johnson photo
Kate Bush photo

“When you reach for a star
Only angels are there
And it's not very far
Just a step on a stair
Take a look at those clowns
And the tricks that they play
In the circus of life
Life is bitter and gay There are clowns in the night
Clowns everywhere
See how they run
Run from despair …”

Kate Bush (1958) British recording artist; singer, songwriter, musician and record producer

This was a song written for the soundtrack of The Magician of Lublin (1979), based on the 1960 novel by Isaac Bashevis Singer; Kate's singing of it appears at times in the background within the film - YouTube video http://www.youtube.com/watch?v=BkfbkVKmbG0
Song lyrics, Singles and rarities

M. K. Hobson photo
Emil M. Cioran photo
Nyanaponika Thera photo
Maurice Glasman, Baron Glasman photo
Jules Payot photo
Henry Adams photo

“…but he distinctly remembered standing at the house door one summer morning in a passionate outburst of rebellion against going to school. Naturally his mother was the immediate victim of his rage; that is what mothers are for, and boys also; but in this case the boy had his mother at unfair disadvantage, for she was a guest, and had no means of enforcing obedience. Henry showed a certain tactical ability by refusing to start, and he met all efforts at compulsion by successful, though too vehement protest. He was in fair way to win, and was holding his own, with sufficient energy, at the bottom of the long staircase which led up to the door of the President's library, when the door opened, and the old man slowly came down. Putting on his hat, he took the boy's hand without a word, and walked with him, paralyzed by awe, up the road to the town. After the first moments of consternation at this interference in a domestic dispute, the boy reflected that an old gentleman close on eighty would never trouble himself to walk near a mile on a hot summer morning over a shadeless road to take a boy to school, and that it would be strange if a lad imbued with the passion of freedom could not find a corner to dodge around, somewhere before reaching the school door. Then and always, the boy insisted that this reasoning justified his apparent submission; but the old man did not stop, and the boy saw all his strategical points turned, one after another, until he found himself seated inside the school, and obviously the centre of curious if not malevolent criticism. Not till then did the President release his hand and depart.”

Henry Adams (1838–1918) journalist, historian, academic, novelist

The Education of Henry Adams (1907)

Frederick Douglass photo
Martin Luther King, Jr. photo
Kurt Lewin photo
Dexter S. Kimball photo
James Jeans photo
Tom Robbins photo
H.L. Mencken photo

“When the water reaches the upper deck, follow the rats.”

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

Mencken quotes this in Newspaper Days, 1899–1906 (1941) as a maxim he learned from Al Goodman
Misattributed

Jacques-Henri Bernardin de Saint-Pierre photo

“They [the true instructors of the people] will accustom children to the vegetable régime. The peoples living on vegetable foods, are, of all men, the handsomest, the most vigorous, the least exposed to diseases and to passions, and they whose lives last longest. Such, in Europe, are a large proportion of the Swiss. The greater part of the peasantry who, in every country, form the most vigorous portion of the people, eat very little flesh-meat. The Russians have multiplied periods of fasting and days of abstinence, from which even the soldiers are not exempt; and yet they resist all kinds of fatigues. The negroes, who undergo so many hard blows in our colonies, live upon manioc, potatoes, and maize alone. The Brahmins of India, who frequently reach the age of one hundred years, eat only vegetable foods. It was from the Pythagorean sect that issued Epaminondas, so celebrated by for his virtues, Archytas, by his genius for mathematics and mechanics; Milo of Crotona, by his strength of body. Pythagoras himself was the finest man of his time, and, without dispute, the most enlightened, since he was the father of philosophy amongst the Greeks. Inasmuch as the non-flesh diet introduces with many virtues and excludes none, it will be well to bring up the young upon it, since it has so happy an influence upon the beauty of the body and upon the tranquillity of the mind. This regimen prolongs childhood, and, by consequence, human life.”

Jacques-Henri Bernardin de Saint-Pierre (1737–1814) writer and botanist from France

Vœux d'un solitaire, pour servir de suite aux "Études de la nature", as quoted in The Ethics of Diet by Howard Williams (University of Illinois Press, 2003, p. 175 https://books.google.it/books?id=o9ugCcZ13BMC&pg=PA175)

Lewis Mumford photo
Eric Hobsbawm photo
Richard Burton photo

“You reach the top of the heap, but it's a circle, and you slip on the down side; maybe for years. You get scared. He said then he thought he was coming out of a slump.”

Richard Burton (1925–1984) Welsh actor

In "Richard Burton, 58, is Dead; Rakish Stage and Screen Star"

Gloria Estefan photo
Alexis De Tocqueville photo
Elton John photo

“And reach out for her healing hands,
Reach out for her healing hands.
There's a light, where the darkness ends.
Touch me now and let me see again,
Rock me now in your gentle healing hands.”

Elton John (1947) English rock singer-songwriter, composer and pianist

Healing Hands
Song lyrics, Sleeping with the Past (1989)

John Gray photo
Newton Lee photo

“The "need to know" syndrome had reached epidemic proportions within the U. S. government, all the way to top including the Presidents of the United States”

Newton Lee American computer scientist

giving them the benefit of the doubt
Counterterrorism and Cybersecurity: Total Information Awareness (2nd Edition), 2015

Newton Lee photo

“The Sony saga has brought to light a hidden sinister: Cyber terrorism has reached a whole new level by combining cyber attacks and threats of physical terrorism.”

Newton Lee American computer scientist

Counterterrorism and Cybersecurity: Total Information Awareness (2nd Edition), 2015

James, son of Zebedee photo
Mohammad Reza Pahlavi photo
Gwendolyn Brooks photo
John McCain photo
John Steinbeck photo
Henry Adams photo
Juliana Hatfield photo

“Reach inside carefully.
Feel my psyche.
Make it last.
Put this moment under glass.”

Juliana Hatfield (1967) American guitarist/singer-songwriter and author

"Bottles and Flowers"
Only Everything (1995)

“I wanted to reach what was right on the right paths. And so I began to live mistaken.”

Antonio Porchia (1885–1968) Italian Argentinian poet

Quise alcanzar lo derecho por sendas derechas. Y así comencé a vivir equivocado.
Voces (1943)

James Allen photo
Evelyn Underhill photo
Calvin Coolidge photo
Gordon Lightfoot photo
Stephen Vincent Benét photo
John Lancaster Spalding photo

“Instead of whining, "We can't reach certain people," with-it people exclaim with faith, "We will find a way."”

Craig Groeschel (1967) American priest

It – How Churches and Leaders Can Get It and Keep It (2008, Zondervan)

Joseph Conrad photo
Ragnar Frisch photo
Tony Benn photo

“We have confused the real issue of parliamentary democracy, for already there has been a fundamental change. The power of electors over their law-makers has gone, the power of MPs over Ministers has gone, the role of Ministers has changed. The real case for entry has never been spelled out, which is that there should be a fully federal Europe in which we become a province. It hasn't been spelled out because people would never accept it. We are at the moment on a federal escalator, moving as we talk, going towards a federal objective we do not wish to reach. In practice, Britain will be governed by a European coalition government that we cannot change, dedicated to a capitalist or market economy theology. This policy is to be sold to us by projecting an unjustified optimism about the Community, and an unjustified pessimism about the United Kingdom, designed to frighten us in. Jim quoted Benjamin Franklin, so let me do the same: "He who would give up essential liberty for a little temporary security deserves neither safety nor liberty." The Common Market will break up the UK because there will be no valid argument against an independent Scotland, with its own Ministers and Commissioner, enjoying Common Market membership. We shall be choosing between the unity of the UK and the unity of the EEC. It will impose appalling strains on the Labour movement… I believe that we want independence and democratic self-government, and I hope the Cabinet in due course will think again.”

Tony Benn (1925–2014) British Labour Party politician

Speech given in the Cabinet meeting to discuss Britain's membership of the EEC, as recorded in his diary (18 March 1975), Against the Tide. Diaries 1973-1976 (London: Hutchinson, 1989), pp. 346-347.
1970s

Steven Erikson photo
Frederick William Robertson photo
Jair Bolsonaro photo
Kent Hovind photo
Harry Turtledove photo
John Zerzan photo

“If we once — and for so long — lived in balance with nature and each other, we should be able to do so again. The catastrophe that’s overtaking us has deep roots, but our previous state of natural anarchy reaches much further into our shared history.”

John Zerzan (1943) American anarchist and primitivist philosopher and author

"Whose Future?", from the book Take My Advice : Letters to the Next Generation from People Who Know a Thing or Two (2007) by James L. Harmon

Willa Cather photo
Erik Naggum photo

“Sometimes, the only way to learn something really well is to revert to the state of mind of a novice and reawaken to the raw observations that you have accumulated instead of relying on the conclusions you have reached from the exogenous premises absorbed through teaching and bookish learning.”

Erik Naggum (1965–2009) Norwegian computer programmer

Re: Guide to Lisp, v1.20 http://groups.google.com/group/comp.lang.lisp/msg/f7bc99564506e851 (Usenet article).
Usenet articles, Miscellaneous

Peter Greenaway photo
Merrill McPeak photo

“It is highly doubtful if the Mughal period deserves the credit it has been given as a period of religious tolerance. Akbar is now known only for his policy of sulh-i-kul, at least among the learned Hindus. It is no more remembered that to start with he was also a pious Muslim who had viewed as jihãd his sack of Chittor. Nor is it understood by the learned Hindus that his policy of sulh-i-kul was motivated mainly by his bid to free himself from the stranglehold of the orthodox ‘Ulamã, and that any benefit which Hindus derived from it was no more than a by-product. Akbar never failed to demand daughters of the Rajput kings for his harem. Moreover, as our citations show, he was not able to control the religious zeal of his functionaries at the lower levels so far as Hindu temples were concerned. Jahãngîr, like many other Muslim kings, was essentially a pleasure-seeking person. He, however, became a pious Muslim when it came to Hindu temples of which he destroyed quite a few. Shãh Jahãn did not hide what he wanted to do to the Hindus and their places of worship. His Islamic record on this score was much better than that of Jahãngîr. The reversal of Akbar’s policy thus started by his two immediate successors reached its apotheosis in the reign of Aurangzeb, the paragon of Islamic piety in the minds of India’s Muslims. What is more significant, Akbar has never been forgiven by those who have regarded themselves as custodians of Islam, right upto our own times; Maulana Abul Kalam Azad is a typical example. In any case one swallow has never made a summer.”

Sita Ram Goel (1921–2003) Indian activist

Hindu Temples – What Happened to Them, Volume II (1993)

Atal Bihari Vajpayee photo
Joseph Hopkinson photo
Robert Charles Wilson photo
Jussi Halla-aho photo
Tom Lehrer photo

“And that is the story of Alma,
Who knew how to receive and to give.
The body that reached her embalma'
Was one that had known how to live.”

Tom Lehrer (1928) American singer-songwriter and mathematician

"Alma"
That Was the Year That Was (1965)

Allan Kardec photo
Warren Buffett photo
Richard Dawkins photo
Arthur Schopenhauer photo
Willem de Sitter photo
Norman Tebbit photo
Robert Smith (musician) photo
Pauline Kael photo

“If the chance of error alone were the sole basis for evaluating methods of inference, we would never reach a decision, but would merely keep increasing the sample size indefinitely.”

C. West Churchman (1913–2004) American philosopher and systems scientist

Source: 1940s - 1950s, Theory of Experimental Inference (1948), p. 255; cited in The Journal of the American Forensic Association. Vol 20-22 (1984), p. 180

Babe Ruth photo
Helen Hayes photo
Cesare Pavese photo
Johannes Kepler photo
Abraham Joshua Heschel photo
Hans Christian Andersen photo
Joseph Hayne Rainey photo
Samuel Taylor Coleridge photo
Mahmud of Ghazni photo
Silius Italicus photo

“So, when a pebble breaks the surface of a motionless pool, in its first movements it forms tiny rings; and next, while the water glints and shimmers under the growing force, it swells the number of the circles over the rounding pond, until at last one extended circle reaches with wide-spreading compass from bank to bank.”
Sic, ubi perrupit stagnantem calculus undam, exiguos format per prima volumina gyros, mox tremulum uibrans motu gliscente liquorem multiplicat crebros sinuati gurgitis orbes, donec postremo laxatis circulus oris contingat geminas patulo curuamine ripas.

Book XIII, lines 24–29
Compare:
As on the smooth expanse of crystal lakes
The sinking stone at first a circle makes;
The trembling surface, by the motion stirred,
Spreads in a second circle, then a third;
Wide, and more wide, the floating rings advance,
Fill all the watery plain, and to the margin dance.
Alexander Pope, Temple of Fame, lines 436–441
As the small pebble stirs the peaceful lake:
The centre moved, a circle straight succeeds,
Another still, and still another spreads.
Alexander Pope, Essay on Man, Ep. IV, lines 364–367
Punica

Rebecca West photo
Eleanor Farjeon photo

“Bugsby's reach is long as time,
His reach is wide as wind is,
He can pick you nettles in Greenwich Marsh
And docks in the East Indies.”

Eleanor Farjeon (1881–1965) English children's writer

Bugsby's Reach
More Nursery Rhymes of London Town (1917)

Wilhelm II, German Emperor photo

“I see that we must strike a balance. We have nearly reached the limit of our powers of resistance. The war must be ended.”

Wilhelm II, German Emperor (1859–1941) German Emperor and King of Prussia

Remarks made at the meeting of the German warlords at Advanced General Headquarters at Avesnes (11 August 1918), quoted in John Terraine, To Win A War: 1918 The Year of Victory (London: Cassell, 2003), p. 121
1910s

Enoch Powell photo
El Lissitsky photo
Martin Niemöller photo

“In Erlangen, for instance, in January 1946 he spoke of meeting a German Jew who had lost everything — parents, brothers, and sisters too. 'I could not help myself', said Niemöller, 'I had to tell him, "Dear brother, fellow man, Jew, before you say anything, I say to you: I acknowledge my guilt and beg you to forgive me and my people for this sin."' Niemöller's stance was by no means entirely welcome to the 1,200 students to whom he was preaching. They shouted and jeered as he preached that Germany must accept responsibility for the five or six million murdered Jews. Students in Marburg and Göttingen similarly heckled him. But Niemöller insisted that "We must openly declare that we are not innocent of the Nazi murders, of the murder of German communists, Poles, Jews, and the people in German-occupied countries. No doubt others made mistakes too, but the wave of crime started here and here it reached its highest peak. The guilt exists, there is no doubt about that — even if there were no other guilt than that of the six million clay urns containing the ashes of incinerated Jews from all over Europe. And this guilt lies heavily upon the German people and the German name, even upon Christendom. For in our world and in our name have these things been done."”

Martin Niemöller (1892–1984) German anti-Nazi theologian and Lutheran pastor

Sermons in Erlangen, Marburg, Göttingen and Frankfurt (January 1946), as quoted in Martin Niemöller, 1892-1984 (1984) by James Bentley, p. 177

Winston S. Churchill photo
William Makepeace Thackeray photo
Sarvajna photo
Erich Fromm photo
Henry Adams photo

“Pearson shut out of science everything which the nineteenth-century had brought into it. He told his scholars that they must put up with a fraction of the universe, and a very small fraction at that — the circle reached by the senses, where sequence could be taken for granted.”

Henry Adams (1838–1918) journalist, historian, academic, novelist

Adams quotes — and takes the title of this chapter — from Karl Pearson's classic work The Grammar of Science: "In the chaos behind sensations, in the 'beyond' of sense-impressions, we cannot infer necessity, order or routine, for these are concepts formed by the mind of man on this side of sense-impressions." "Briefly chaos is all that science can logically assert of the supersensuous."
The Education of Henry Adams (1907)