Quotes about possibility
page 54

Bernhard Riemann photo
Edith Hamilton photo
Andrea Dworkin photo
Adolf Eichmann photo

“Every department was trying to squeeze everything possible out of the Jews, to winkle it out by threatening them with the big bad Eichmann.”

Adolf Eichmann (1906–1962) German Nazi SS-Obersturmbannführer

Argentina Audiotapes (1957)

Harold Pinter photo
Arthur Jensen photo
Dick Cheney photo
Dietrich Bonhoeffer photo

“In the New Testament our enemies are those who harbor hostility against us, not those against whom we cherish hostility. For Jesus refuses to reckon with such a possibility.”

Dietrich Bonhoeffer (1906–1945) German Lutheran pastor, theologian, dissident anti-Nazi

Source: Discipleship (1937), The Enemy, the "Extraordinary", pp. 147-148.

Jane Roberts photo
David Ricardo photo

“Whenever the current of money is forcibly stopped, and when money is prevented from settling at its just level, there are no limits to the possible variations of the exchange.”

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

Source: The Principles of Political Economy and Taxation (1821) (Third Edition), Chapter VII, On Foreign Trade, p. 91

J. R. D. Tata photo

“Any unwillingness to learn mathematics today can greatly restrict your possibilities tomorrow.”

Richard Hamming (1915–1998) American mathematician and information theorist

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

Shashi Tharoor photo

“The only possible idea of India is that of a nation greater than the sum of its parts.”

Shashi Tharoor (1956) Indian politician, diplomat, author

The Hindu, "Strengthening Indianness ", Sunday, Jan 19, 2003, Available Online http://www.hinduonnet.com/thehindu/mag/2003/01/19/stories/2003011900240300.htm
2000s

“The statement is made with certainty: a festival that does not get its life from worship, even though the connection in human consciousness be ever so small, is not to be found. To be sure, since the French Revolution, people have tried over and over to create artificial festivals without any connection with religious worship, or even against such worship, such as the "Brutus Festival" or "Labor Day," but they all demonstrate, through the forced and narrow character of their festivity, what religious worship provides to a festival. […] Clearer than the light of day is the difference between the living, rooted trees of genuine cultic festival and our artificial festivals that resemble those "maypoles," cut at the roots, and carted here and there, to be planted for some definite purpose. Of course we may have to prepare ourselves for the possibility that we are only at the dawn of an age of artificial festivals. Were we [in Germany] prepared for the possibility that the official forces, and especially the bearers of political power, would artificially create the appearance of the festive with so huge an expense in external arrangements? And that this seductive, scarcely delectable appearance of artificial "holidays" would be so totally lacking in the essential quality, that true and ultimate harmony with the world? And that such holidays would in fact depend on the suppression of that harmony and derive their dangerous seduction from that very fact?”

Josef Pieper (1904–1997) German philosopher

In the three rhetorical questions that end this quote, Pieper alludes to the Nazis' elaborately stage-managed "festivals", in particular the Nuremberg Rally, the subject of Leni Riefenstahl's classic propaganda documentary, Triumph of the Will.
Source: Leisure, the Basis of Culture (1948), Leisure, the Basis of Culture, pp. 51–52

Vannevar Bush photo
Peter Singer photo
Mahatma Gandhi photo

“I believe that the civilization India evolved is not to be beaten in the world. Nothing can equal the seeds sown by our ancestors, Rome went, Greece shared the same fate; the might of the Pharaohs was broken; Japan has become Westernized; of China nothing can be said; but India is still, somehow or other, sound at the foundation. The people of Europe learn their lessons from the writings of the men of Greece or Rome, which exist no longer in their former glory. In trying to learn from them, the Europeans imagine that they will avoid the mistakes of Greece and Rome. Such is their pitiable condition. In the midst of all this India remains immovable and that is her glory. It is a charge against India that her people are so uncivilized, ignorant and stolid, that it is not possible to induce them to adopt any changes. It is a charge really against our merit. What we have tested and found true on the anvil of experience, we dare not change. Many thrust their advice upon India, and she remains steady. This is her beauty: it is the sheet-anchor of our hope.
Civilization is that mode of conduct which points out to man the path of duty. Performance of duty and observance of morality are convertible terms. To observe morality is to attain mastery over our mind and our passions. So doing, we know ourselves. The Gujarati equivalent for civilization means “good conduct.””

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

Sect. 13
Variant translations: I believe that the civilisation into which India has evolved is not to be beaten in the world. Nothing can equal the seeds sown by our ancestry. Rome went; Greece shared the same fate; the might of the Pharaohs was broken; Japan has become westernised; of China nothing can be said; but India is still, somehow or other, sound at the foundation.
Greece, Egypt, Rome — all have been erased from this world, yet we continue to exist. There is something in us, that our character never ceases from the face of this world, defying global hostility for centuries.
1900s, Hind Swaraj (1908)

Simon Kuznets photo
Dag Hammarskjöld photo
John P. Kotter photo
Osama bin Laden photo
William James photo

“The total possible consciousness may be split into parts which co-exist but mutually ignore each other.”

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

Source: 1890s, The Principles of Psychology (1890), Ch. 8

Edward Witten photo
David Lloyd George photo

“The Budget…is introduced not merely for the purpose of raising barren taxes, but taxes that are fertile, taxes that will bring forth fruit—the security of the country which is paramount in the minds of all. The provision for the aged and deserving poor—was it not time something was done? It is rather a shame for a rich country like ours—probably the richest in the world, if not the richest the world has ever seen—should allow those who have toiled all their days to end in penury and possibly starvation. It is rather hard that an old workman should have to find his way to the gates of the tomb, bleeding and footsore, through the brambles and thorns of poverty. We cut a new path for him—an easier one, a pleasanter one, through fields of waving corn. We are raising money to pay for the new road—aye, and to widen it, so that 200,000 paupers shall be able to join in the march. There are so many in the country blessed by Providence with great wealth, and if there are amongst them men who grudge out of their riches a fair contribution towards the less fortunate of their fellow-countrymen they are very shabby rich men.”

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

Speech in Limehouse, East London (30 July 1909), quoted in Better Times: Speeches by the Right Hon. D. Lloyd George, M.P., Chancellor of the Exchequer (London: Hodder & Stoughton, 1910), p. 145.
Chancellor of the Exchequer

Donald J. Trump photo

“We condemn in the strongest possible terms this egregious display of hatred, bigotry and violence on many sides, on many sides [repeat intentional]. This had been going on for a long time in our country. Not Donald Trump, not Barack Obama. A long, long time.”

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

First statement regarding White Nationalist Rally terrorism in Charlottesville, VA. https://www.theguardian.com/us-news/2017/aug/12/charlottesville-protest-trump-condemns-violence-many-sides. The Guardian. (12 August 2017)
2010s, 2017, August

Stanisław Lem photo
Justin Cronin photo
Fiona Oakes photo
Ralph Ellison photo
Jiddu Krishnamurti photo

“Is it possible to live in this world without the operation of will?”

Jiddu Krishnamurti (1895–1986) Indian spiritual philosopher

6th Public Talk, Saanen, Switzerland (29 July 1971)
1970s

Theodor Mommsen photo

“The man, whose head and heart had in a desperate emergency and amidst a despairing people paved the way for their deliverance, was no more, when it became possible to carry out his design. Whether his successor Hasdrubal forbore to make the attack because the proper moment seemed to him to have not yet come, or whether, more a statesman than a general, he believed himself unequal to the conduct of the enterprise, we are unable to determine. When, at the beginning of [221 B. C], he fell by the hand of an assassin, the Carthaginian officers of the Spanish army summoned to fill his place Hannibal, the eldest son of Hamilcar. He was still a young man--born in [247 B. C], and now, therefore, in his twenty-ninth year [221 B. C]; but his had already been a life of manifold experience. His first recollections pictured to him his father fighting in a distant land and conquering on Ercte; he had keenly shared that unconquered father's feelings on the Peace of Catulus (also see Treaty of Lutatius), on the bitter return home, and throughout the horrors of the Libyan war. While yet a boy, he had followed his father to the camp; and he soon distinguished himself. His light and firmly-knit frame made him an excellent runner and fencer, and a fearless rider at full speed; the privation of sleep did not affect him, and he knew like a soldier how to enjoy or to dispense with food. Although his youth had been spent in the camp, he possessed such culture as belonged to the Phoenicians of rank in his day; in Greek, apparently after he had become a general, he made such progress under the guidance of his confidant Sosilus of Sparta as to be able to compose state papers in that language. As he grew up, he entered the army of his father, to perform his first feats of arms under the paternal eye and to see him fall in battle by his side. Thereafter he had commanded the cavalry under his sister's husband, Hasdrubal, and distinguished himself by brilliant personal bravery as well as by his talents as a leader. The voice of his comrades now summoned him--the tried, although youthful general--to the chief command, and he could now execute the designs for which his father and his brother-in-law had lived and died. He took up the inheritance, and he was worthy of it. His contemporaries tried to cast stains of various sorts on his character; the Romans charged him with cruelty, the Carthaginians with covetousness; and it is true that he hated as only Oriental natures know how to hate, and that a general who never fell short of money and stores can hardly have been other than covetous. But though anger and envy and meanness have written his history, they have not been able to mar the pure and noble image which it presents. Laying aside wretched inventions which furnish their own refutation, and some things which his lieutenants, particularly Hannibal Monomachus and Mago the Sammite, were guilty of doing in his name, nothing occurs in the accounts regarding him which may not be justified under the circumstances, and according to the international law, of the times; and all agree in this, that he combined in rare perfection discretion and enthusiasm, caution and energy. He was peculiarly marked by that inventive craftiness, which forms one of the leading traits of the Phoenician character; he was fond of taking singular and unexpected routes; ambushes and stratagems of all sorts were familiar to him; and he studied the character of his antagonists with unprecedented care. By an unrivaled system of espionage--he had regular spies even in Rome--he kept himself informed of the projects of the enemy; he himself was frequently seen wearing disguises and false hair, in order to procure information on some point or other. Every page of the history of this period attests his genius in strategy; and his gifts as a statesman were, after the peace with Rome, no less conspicuously displayed in his reform of the Carthaginian constitution, and in the unparalleled influence which as a foreign exile he exercised in the cabinets of the eastern powers. The power which he wielded over men is shown by his incomparable control over an army of various nations and many tongues--an army which never in the worst times mutinied against him. He was a great man; wherever he went, he riveted the eyes of all.”

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

The History of Rome, Volume 2 Translated by W.P. Dickson
On Hannibal the man and soldier
The History of Rome - Volume 2

Robert A. Heinlein photo
William Foote Whyte photo
René Guénon photo
Berthe Morisot photo
Bernard Jenkin photo

“Strategy is a constant reconciling of possibilities, means and ends.”

Bernard Jenkin (1959) British politician

The Today Programme, BBC Radio 4 (October 18, 2010)

Samuel Butler photo

“A man’s style in any art should be like his dress — it should attract as little attention as possible.”

Samuel Butler (1835–1902) novelist

A Man's Style
The Note-Books of Samuel Butler (1912), Part VII - On the Making of Music, Pictures, and Books

Miles Davis photo

“The music has gotten thick. Guys give me tunes and they're full of chords. I can't play them…I think a movement in jazz is beginning away from the conventional string of chords, and a return to emphasis on melodic rather than harmonic variation. There will be fewer chords but infinite possibilities as to what to do with them.”

Miles Davis (1926–1991) American jazz musician

About the new modal style. Interviewed by The Jazz Review, 1958; Quotes in Paul Maher, ‎Michael K. Dorr (2009) Miles on Miles: Interviews and Encounters with Miles Davis, p. 18.
1950s

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

Shamini Flint photo
Jeane Kirkpatrick photo

“No idea holds greater sway in the minds of educated Americans that the belief that it is possible to democratize governments anytime and anywhere under any circumstances.”

Jeane Kirkpatrick (1926–2006) American diplomat and Presidential advisor

Dictatorship and Double Standards, Commentary (New York, Nov. 1979), quoted in The Economist , 23 December 2006:131

Samuel Johnson photo
Roger Ebert photo

“Only enormously talented people could have made Death to Smoochy. Those with lesser gifts would have lacked the nerve to make a film so bad, so miscalculated, so lacking any connection with any possible audience.”

Roger Ebert (1942–2013) American film critic, author, journalist, and TV presenter

Review http://www.rogerebert.com/reviews/death-to-smoochy-2002 of Death to Smoochy (29 March 2002)
Reviews, Half-star reviews

Frédéric Bazille photo

“Don't worry! I bring to it all the necessary objectivity, don't be alarmed.... dirty machinists, very dumb musicians, a very old [choreographer] Monsieur Auber, and everyone only thinks about getting her job done as quickly as possible to earn a living.”

Frédéric Bazille (1841–1870) French painter

about a 'backstage-scene' of the Paris Opera, from his letter to Bazille's mother c. 1866; as cited in The private lives of the Impressionists, Sue Roe, Harpen Collins Publishers, New York 2006, p. 49
1866 - 1870

“I'm no novelist. Or anything else, I suppose, except, just possibly a poet, once in a while.”

Vernon Scannell (1922–2007) British boxer and poet

Scannell's diary entry - 28 December 1966 James Andrew Taylor - Walking Wounded: The Life and poetry of Vernon Scannell O U P 2013 ISBN 9780199603183

Gloria Estefan photo

“I'm singing the hardest song [the national anthem] you could possibly sing at this hour of the morning [8 a. m. ]. [I came from Cuba] when I was sixteen months old, although I didn't become a citizen until I was actually about 9 or 10 years old [1966-67]. I had to leave the country to become a citizen, because we had to go to Canada -- and I'll never forget that trip as long as I live. But it was very important for me then, and for them [new citizens] today, What more special day can you have: July 4th in the American Mecca. It doesn't get better than that for them. Well, I'll tell you this -- and I can base it on my own feelings. The beauty of this country is that you can become a citizen of this wonderful nation, and still keep who you are: your culture, your lifestyle. It's a melting pot that allows you not to melt if you don't want to. And it's a wonderful place. I love this country. I really admire it: its ideals, the freedom, the things it stands for. As an immigrant that came from a country that doesn't have those freedoms and still doesn't have them -- which is Cuba -- it's much more special to me: To be able to live here and to be able to have the life that I do in this country.”

Gloria Estefan (1957) Cuban-American singer-songwriter, actress and divorciada

interview with Sam Champion on Good Morning America television progam before ceremony at Walt Disney World in Orlando, Florida to swear in 1,000 new U.S. citizens (July 4, 2007)
2007, 2008

Gerald Durrell photo
Ai Weiwei photo
Pearl S.  Buck photo
Jesse Ventura photo
Jahangir photo

“I am here led to relate that at the city of Banaras a temple had been erected by Rajah Maun Singh, which cost him the sum of nearly thirty-six laks of five methkally ashrefies. The principle idol in this temple had on its head a tiara or cap, enriched with jewels to the amount of three laks ashrefies. He had placed in this temple moreover, as the associates and ministering servants of the principal idol, four other images of solid gold, each crowned with a tiara, in the like manner enriched with precious stones. It was the belief of these Jehennemites that a dead Hindu, provided when alive he had been a worshipper, when laid before this idol would be restored to life. As I could not possibly give credit to such a pretence, I employed a confidential person to ascertain the truth; and, as I justly supposed, the whole was detected to be an impudent imposture. Of this discovery I availed myself, and I made it my plea for throwing down the temple which was the scene of this imposture and on the spot, with the very same materials, I erected the great mosque, because the very name of Islam was proscribed at Banaras, and with God's blessing it is my design, if I live, to fill it full with true believers.”

Jahangir (1569–1627) 4th Mughal Emperor

Varanasi (Uttar Pradesh) , Tuzuk-i-Jahangiri, translated into English by Major David Price, Calcutta, 1906. pp. 24-25.

http://persian.packhum.org/persian/pf?file=11001040&ct=7, "Decisions Involving Urban Planning and Religious Institutions" Different translation: I made it my plea for throwing down the temple which was the scene of this imposture; and on the spot, with the very same materials, I erected the great mosque, because the very name of Islam was proscribed at Banaras, and with God’s blessing it is my design, if I live, to fill it full with true believers.

Reuven Rivlin photo

“For some reason the settlement enterprise is being accused of being an obstacle to peace. Personally, I explain at each possible forum that the obstacle to peace is the objection by the Arabs to it and the fact that they do not want us here.”

Reuven Rivlin (1939) Israeli politician, 10th President of Israel

Israel national news http://www.israelnationalnews.com/News/News.aspx/161578#.U5gR5PldXs9, 1 November 2012

Balasaraswati photo
Annabelle Wallis photo
Florence Nightingale photo

“Instead of wishing to see more doctors made by women joining what there are, I wish to see as few doctors, either male or female, as possible. For, mark you, the women have made no improvement — they have only tried to be men and they have only succeeded in being third-rate men.”

Florence Nightingale (1820–1910) English social reformer and statistician, and the founder of modern nursing

Letter to John Stuart Mill (12 September 1860), published in Florence Nightingale on Society and Politics, Philosophy, Science, Education (2003) edited by Lynn McDonald

George Sarton photo
Clive Staples Lewis photo

“Homo-Marxian puzzles all those who try to work with him because he seems irrational and therefore unpredictable. In reality, however, the Marxist Man has reduced his thinking to the lowest common denominator of values taken from nature in the raw. He lives exclusively by the jungle law of selfish survival. In terms of these values he is rational almost to the point of mathematical precision. Through calm or crisis his responses are consistently elemental and therefore highly predictable. Because Homo-Marxian considers himself to be made entirely of the dust of the earth, he pretends to no other role. He denies himself the possibility of a soul and repudiates his capacity for immortality. He believes he had no creator and has no purpose or reason for existing except as an incidental accumulation of accidental forces in nature. Being without morals, he approaches all problems in a direct, uncomplicated manner. Self-preservation is given as the sole justification for his own behavior, and "selfish motives" or "stupidity" are his only explanations for the behavior of others. With Homo-Marxian the signing of fifty-three treaties and subsequent violation of fifty-one of them is not hypocrisy but strategy. The subordination of other men's minds to the obscuring of truth is not deceit but a necessary governmental tool. Marxist Man has convinced himself that nothing is evil which answers the call of expediency. He has released himself from all the confining restraints of honor and ethics which mankind has previously tried to use as a basis for harmonious human relations.”

The Naked Communist (1958)

Patrick White photo
African Spir photo
Willem de Sitter photo
Anthony Crosland photo
Anthony Giddens photo

“It is usually assumed that, in speaking, in the 1844 Manuscripts, of man’s “being reduced to the level of the animals,” and of man’s alienation from his “species-being” under the conditions of capitalist production, Marx is thinking in terms of an abstract conception of “man” as being alienated from his biological characteristics as a species. So, it is presumed, at this initial stage in the evolution of his thought, Marx believed that man is essentially a creative being whose “natural” propensities are denied by the restrictive character of capitalism. Actually, Marx holds, on the contrary, that the enormous productive power of capitalism generates possibilities for the future development of man which could not have been possible under prior forms of productive system. The organization of social relationships within which capitalist production is carried on in fact leads to the failure to realize these historically generated possibilities. The character of alienated labor does not express a tension between “man in nature” (non-alienated) and “man in society” (alienated), but between the potential generated by a specific form of society—capitalism—and the frustrated realization of that potential. What separates man from the animals is not the mere existence of biological differences between mankind and other species, but the cultural achievements of men, which are the outcome of a very long process of social development.”

Anthony Giddens (1938) British sociologist

Source: Capitalism and Modern Social Theory (1971), pp. 15-16.

Joseph Beuys photo
Roberto Mangabeira Unger photo
Gregory of Nyssa photo
Frances Bean Cobain photo

“No. I would have felt more awkward if I'd been a fan. I was around 15 when I realized he was inescapable. Even if I was in a car and had the radio on, there's my dad. He's larger than life and our culture is obsessed with dead musicians. We love to put them on a pedestal. If Kurt had just been another guy who abandoned his family in the most awful way possible… But he wasn't. He inspired people to put him on a pedestal, to become St. Kurt.”

Frances Bean Cobain (1992) American artist

Response to the question, "Did you feel awkward as a teenager, not being that interested in the music Kurt made?"
" Frances Bean Cobain on Life After Kurt's Death: An Exclusive Q&A http://www.rollingstone.com/music/features/frances-bean-life-after-kurt-cobain-death-exclusive-interview-20150408" (2015)

Valentino Braitenberg photo

“A structure made up of fine threads, so many and so fine that even the strongest magnification of the microscope was hardly sufficient to allow all of them to be seen clearly. Some of the threads ran together in bundles and in layers in specific directions; others lay seemingly randomly distributed every which way through the tissue. Embedded in this felted mass of fibers, it was possible to discern spherical structures, the nuclei of the nerve cells…”

Valentino Braitenberg (1926–2011) Italian-Austrian neuroscientist

Braitenberg (1948), quoted in: Elke Maier (2012) " Spying on God http://www.mpg.de/6348834/S005_Flashback_086-087.pdf" in Max Planck Research, March 2012
Description of Braitenberg's first experience observing brain tissue under a microscope as medical student in Rome.

“The relation of the performance of music to sound is complex and ambiguous: this is what makes possible Mark Twain's joke that Wagner is better than he sounds.”

Charles Rosen (1927–2012) American pianist and writer on music

Source: Piano Notes: The World of the Pianist (2002), Ch. 1 Body and Mind

Emma Goldman photo
Brian Tyler photo
Cesare Pavese photo

“Generations do not age. Every youth of any period, any civilization, has the same possibilities as always.”

Cesare Pavese (1908–1950) Italian poet, novelist, literary critic, and translator

This Business of Living (1935-1950)

Alex Steffen photo
Roberto Mangabeira Unger photo
Ernesto Grassi photo
Wilbur Wright photo
George William Russell photo
John Gray photo

“Progress in civilization seems possible only in interludes when history is idling.”

John Gray (1948) British philosopher

An Old Chaos: The Emperor's Tomb (p. 35)
The Silence of Animals: On Progress and Other Modern Myths (2013)

Thomas Carlyle photo

“Battles, in these ages, are transacted by mechanism; with the slightest possible development of human individuality or spontaneity: men now even die, and kill one another, in an artificial manner.”

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

Pt. I, Bk. VII, ch. 4.
1830s, The French Revolution. A History (1837)

Zygmunt Vetulani photo
Umberto Veronesi photo
Melanie Joy photo
Colin Wilson photo
Warren Farrell photo
Snježana Kordić photo
John F. Kennedy photo

“When discussing the possibility of a complete military takeover in the country after reading the book Seven Days in May, President Kennedy said, "… if there were a third Bay of Pigs, it could happen." He paused and then said "But it won't happen on my watch."”

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

Related in The Pleasure of His Company, Paul Fay, Jr., New York: Harper & Row, 1966, p. 190. http://www.jfklibrary.org/Research/Research-Aids/Ready-Reference/JFK-Quotations.aspx
Attributed

Nico Perrone photo
E. W. Hobson photo

“In the third period, which lasted from the middle of the eighteenth century until late in the nineteenth century, attention was turned to critical investigations of the true nature of the number π itself, considered independently of mere analytical representations. The number was first studied in respect of its rationality or irrationality, and it was shown to be really irrational. When the discovery was made of the fundamental distinction between algebraic and transcendental numbers, i. e. between those numbers which can be, and those numbers which cannot be, roots of an algebraical equation with rational coefficients, the question arose to which of these categories the number π belongs. It was finally established by a method which involved the use of some of the most modern of analytical investigation that the number π was transcendental. When this result was combined with the results of a critical investigation of the possibilities of a Euclidean determination, the inferences could be made that the number π, being transcendental, does not admit of a construction either by a Euclidean determination, or even by a determination in which the use of other algebraic curves besides the straight line and the circle are permitted. The answer to the original question thus obtained is of a conclusive negative character; but it is one in which a clear account is given of the fundamental reasons upon which that negative answer rests.”

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

Source: Squaring the Circle (1913), p. 12

James Whitbread Lee Glaisher photo

“Quite distinct from the theoretical question of the manner in which mathematics will rescue itself from the perils to which it is exposed by its own prolific nature is the practical problem of finding means of rendering available for the student the results which have been already accumulated, and making it possible for the learner to obtain some idea of the present state of the various departments of mathematics…. The great mass of mathematical literature will be always contained in Journals and Transactions, but there is no reason why it should not be rendered far more useful and accessible than at present by means of treatises or higher text-books. The whole science suffers from want of avenues of approach, and many beautiful branches of mathematics are regarded as difficult and technical merely because they are not easily accessible…. I feel very strongly that any introduction to a new subject written by a competent person confers a real benefit on the whole science. The number of excellent text-books of an elementary kind that are published in this country makes it all the more to be regretted that we have so few that are intended for the advanced student. As an example of the higher kind of text-book, the want of which is so badly felt in many subjects, I may mention the second part of Prof. Chrystal’s “Algebra” published last year, which in a small compass gives a great mass of valuable and fundamental knowledge that has hitherto been beyond the reach of an ordinary student, though in reality lying so close at hand. I may add that in any treatise or higher text-book it is always desirable that references to the original memoirs should be given, and, if possible, short historic notices also. I am sure that no subject loses more than mathematics by any attempt to dissociate it from its history.”

James Whitbread Lee Glaisher (1848–1928) English mathematician and astronomer

Source: "Presidential Address British Association for the Advancement of Science," 1890, p. 466 : On the need of text-books on higher mathematics

Joe Lieberman photo
J. B. S. Haldane photo
Roger Ebert photo