Quotes about proof (849 quotes, page 9)

“P. Bernays has pointed out on several occasions that, since the consistency of a system cannot be proved using means of proof weaker than those of the system itself, it is necessary to go beyond the framework of what is, in Hilbert’s sense, finitary mathematics if one wants to prove the consistency of classical mathematics, or even that of classical number theory. Consequently, since finitary mathematics is defined as the mathematics in which evidence rests on what is intuitive, certain abstract notions are required for the proof of the consistency of number theory…. In the absence of a precise notion of what it means to be evident, either in the intuitive or in the abstract realm, we have no strict proof of Bernays’ assertion; practically speaking, however, there can be no doubt that it is correct…”

Paul Bernays (1888–1977) Swiss mathematician

Kurt Gödel (1958, CW II, p. 241) as cited in: Feferman, Solomon. " Lieber Herr Bernays!, Lieber Herr Gödel! Gödel on finitism, constructivity and Hilbert's program* http://math.stanford.edu/~feferman/papers/bernays.pdf." dialectica 62.2 (2008): 179-203.

Sense , Mathematics

“Humble and self-effacing, Murthy is known to fly economy class and lives in a modest home in Bangalore -- proof, say his fans, that you can combine business success with Gandhian humility.”

N. R. Narayana Murthy (1946) Indian businessman

Time magazine in 10 best quotes from Narayana Murthy that will change your life, 24 October 2013, 26 December 2013, India TV News http://www.indiatvnews.com/business/india/10-best-quotes-from-narayana-murthy-that-will-change-your-life-8106.html,

Home , Success , Business , Self-confidence

“In analyzing organization work, a single chart can frequently express more than any amount of detailed written explanation. First of all, clearly define author- ities within your establishment; then chart those authorities simply and graphically, so that every workman knows to whom he is responsible, and every executive knows who is responsible to him. Place this chart conspicuously in every department where each employee can see it. In case of disputed authority, final proof is immediately at hand. There is then no loop-hole through which a neglectful workman, foreman or executive can crawl no longer does he have the excuse that he thought somebody else was going to do it.”

Clinton Edgar Woods (1863) American engineer

In clean-cut form, his duties and relations to other men of the organization are laid down once and for all, and responsibility rests on the right man. Failure so to specify responsibilities inevitably means confusion all down the line.
Source: Industrial organization (1914), p. 24-25

“Acquittal is not enough for Roscoe Arbuckle. We feel that a great injustice has been done him … there was not the slightest proof adduced to connect him in any way with the commission of a crime. He was manly throughout the case and told a straightforward story which we all believe. We wish him success and hope that the American people will take the judgement of fourteen men and women that Roscoe Arbuckle is entirely innocent and free from all blame.”

Roscoe Arbuckle (1887–1933) American silent film actor, comedian, director, and screenwriter

Statement from jury in third trial for manslaughter, April 12 1922.

Success , Hope , People , Way

“Bach-Zelewski is a liar and a criminal — a terrible man. I repeat, he is a liar, a criminal, and a killer. I have proof of what I am saying about myself, but I know that Bach-Zelewski is a frightful liar.”

Erich von dem Bach (1899–1972) German politician and SS functionary

Hjalmar Schacht to Leon Goldensohn (10 March 1946)

“My proof that homosexuality is not a choice? A question for my straight male readers: Is there anything I could do or say or write that would convince you to willingly, happily, eagerly, anxiously, deliriously, lustfully put my dick in your mouth and leave it there until I had an orgasm? I rest my case.”

Dan Savage book Skipping Towards Gomorrah

Source: Skipping Towards Gomorrah (2002), p. 79

Question

“You know, people come in here with their fucking camera phones - everything’s a camera nowadays; you pick up a piece of fruit, it takes a picture of you. Or the computers which are everywhere which is proof that we like to be watched. That what we’ve replaced God with, technology! We’re fucking afraid to be alone, in a lift, in a taxi cab, we need cameras everywhere recording us unless we realise we’re alone, we might do something scary… like whimper, I don’t know!”

Dylan Moran (1971) Irish actor and comedian

On modern technology
What It Is (2009)

God , People

“But now if the gifted soul be not of taciturn nature, be of vivid, impatient, rapidly productive nature, and aspire much to give itself sensible utterance,—I find that, in this case, the field it has in England is narrow to an extreme; is perhaps narrower than ever offered itself, for the like object, in this world before. Parliament, Church, Law: let the young vivid soul turn whither he will for a career, he finds among variable conditions one condition invariable, and extremely surprising, That the proof of excellence is to be done by the tongue. For heroism that will not speak, but only act, there is no account kept.”

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

1850s, Latter-Day Pamphlets (1850), Stump Orator (May 1, 1850)

World , Soul , Law , Nature

“Though they may think the proof incomplete that the universe is a work of design, and though they assuredly disbelieve that it can have an Author and Governor who is absolute in power as well as perfect in goodness, they have that which constitutes the principal worth of all religions whatever, an ideal conception of a Perfect Being, to which they habitually refer as the guide of their conscience; and this ideal of Good is usually far nearer to perfection than the objective Deity of those, who think themselves obliged to find absolute goodness in the author of a world so crowded with suffering and so deformed by injustice as ours.”

John Stuart Mill book Autobiography

Source: Autobiography (1873)
Source: https://archive.org/details/autobiography01mill/page/46/mode/1up p. 46

Religion , Universe , Perfection , Suffering

“Existence proofs always trump theory. That’s engineering.”

Cory Doctorow (1971) Canadian-British blogger, journalist, and science fiction author

Source: Short fiction, The Man Who Sold The Moon (2014), p. 135

“I am assuming that God exists and I am glad that there is no way to prove this. [Because] I would run through the proof once, and then I'd forget it, and I would never speculate about spiritual things and mysteries otherwise. And, I think, my life would be very incomplete.”

Donald Ervin Knuth (1938) American computer scientist

AI Podcast, December 30, 2019, Algorithms, Complexity, Life, and The Art of Computer Programming https://www.youtube.com/watch?v=2BdBfsXbST8,

God , Forgetting , Thinking , Way

“Science has always tried to understand nature by breaking things into their parts. Now it is overwhelmingly clear that wholes cannot he understood by analysis. This is one of those logical boomerangs, like the mathematical proof that no mathematical system can be truly coherent in itself.”

Marilyn Ferguson (1938–2008) American writer

The Aquarian Conspiracy (1980), Chapter Six, Liberating Knowledge: News from the Frontiers of Science

Understanding , Nature , Mathematics , Science

“[O]ur purpose is to give a presentation of geometry... in its visual, intuitive aspects. With the aid of visual imagination we can illuminate the manifold facts and problems... beyond this, it is possible... to depict the geometric outline of the methods of investigation and proof, without... entering into the details... In this manner, geometry being as many-faceted as it is and being related to the most diverse branches of mathematics, we may even obtain a summarizing survey of mathematics as a whole, and a valid idea of the variety of problems and the wealth of ideas it contains. Thus a presentation of geometry in large brushstrokes... and based on the approach through visual intuition, should contribute to a more just appreciation of mathematics by a wider range of people than just the specialists.”

David Hilbert Geometry and the Imagination

Preface
Geometry and the Imagination (1952)

Imagination , Wealth , People , Problem

“Men don’t know anything! Men don’t know when their lives became so entirely awful, when everyone else turned into such a tosser! A man does not know how he came by the half a pie he is holding in his hand. And scientists—those frauds!—seize on this, and try to use it as proof of the mysteries of human consciousness and the unknowable nature of the brain, which is rubbish! The brain is the simplest organ in the body. It only has three bits. There’s the front bit, which is the bit you scratch when you come in at half one in the morning, and the person you live with says, “Where the fuck were you?””

Dylan Moran (1971) Irish actor and comedian

The middle bit, which tries to come up with the excuse. And the back bit, which plays the last song that was on in the pub.
What It Is (2009)

Personality , Fraud , Men , Nature

“Aristotle thought that men were naturally superior to women and Greeks naturally superior to other races; Victorians thought white men had to shoulder the burden of being superior to savages; and Nazis thought Aryans were a master race. We have come to reject these and many other supposedly natural hierarchies; the history of what we consider moral progress can be viewed as, in large part, the replacement of hierarchical worldviews with a presumption in favor of forms of egalitarianism. This substitution places the burden of proof on those who would deny equal consideration to the interests of all concerned, rather than on those who seek such consideration. Consequently, some reason is needed to justify the fairness of maintaining a hierarchical worldview when we are dealing with animals.”

Steve F. Sapontzis (1945)

Source: Morals, Reason, and Animals (1987), p. 107

History , Nature , Women , Animals

“By this time, the era of cut-and-run economics ought to be finished. Such an economy cannot be rationally defended or even apologized for. The proofs of its immense folly, heartlessness, and destructiveness are everywhere. Its failure as a way of dealing with the natural world and human society can no longer be sanely denied. That this economic system persists and grows larger and stronger in spite of its evident failure has nothing to do with rationality or, for that matter, with evidence. It persists because, embodied now in multinational corporations, it has discovered a terrifying truth: If you can control a people’s economy, you don’t need to worry about its politics; its politics have become irrelevant. If you control people’s choices as to whether or not they will work, and where they will work, and what they will do, and how well they will do it, and what they will eat and wear, and the genetic makeup of their crops and animals, and what they will do for amusement, then why should you worry about freedom of speech? In a totalitarian economy, any "political liberties" that the people might retain would simply cease to matter. If, as is often the case already, nobody can be elected who is not wealthy, and if nobody can be wealthy without dependence on the corporate economy, then what is your vote worth? The citizen thus becomes an economic subject.”

Wendell Berry (1934) author

"Conserving Forest Communities"
Another Turn of the Crank (1996)

Time , Dependency , Freedom , People

“It is quite true that, to the best of my judgment, the argumentation which applies to brutes holds equally good of men; and, therefore, that all states of consciousness in us, as in them, are immediately caused by molecular changes of the brain-substance. It seems to me that in men, as in brutes, there is no proof that any state of consciousness is the cause of change in the motion of the matter of the organism. If these positions are well based, it follows that our mental conditions are simply the symbols in consciousness of the changes which takes place automatically in the organism; and that, to take an extreme illustration, the feeling we call volition is not the cause of a voluntary act, but the symbol of that state of the brain which is the immediate cause of that act.”

Thomas Henry Huxley (1825–1895) English biologist and comparative anatomist

1870s, On the Hypothesis that Animals are Automata, and Its History (1874)

Men , Feeling , Change

“References to what have been interpreted as configurations of stars have been used to suggest dates of about 4000 BC for these hymns”, .... [but] “planetary positions could have been observed in earlier times and such observations been handed down as part of an oral tradition”, [so that they] “do not constitute proof of the chronology of the Vedic hymns.”

Romila Thapar (1931) Indian historian

Romila Thapar: “The Perennial Aryans”, Seminar, December 1992., quoted in Elst, Koenraad (1999). Update on the Aryan invasion debate https://web.archive.org/web/20100412074243/http://www.bharatvani.org/books/ait/ New Delhi: Aditya Prakashan.

Star , Time , Parting

“Both genetic and archaeological proofs of intrusions into Europe from Russia are plentiful, but in India these are significantly missing.”

Koenraad Elst (1959) orientalist, writer

2010s, Still no trace of an Aryan invasion: A collection on Indo-European origins (2019)

“It is not proof that I sought. I, of all men, know that proof is but a fallacy invented by man to justify to himself and his fellows his own crass lust and folly.”

William Faulkner (1897–1962) American writer

The Judge
"Beyond" (1933)

Men

“The Earth is spherical despite what is popularly believed … the proof is that the Sun is always vertical to a particular spot on Earth.”

Ibn Hazm (994–1064) Arab theologian

ibid, vol 2 p. 98

Sun

“Ask questions stubbornly, very proud men who seeing themselves right without knowing anything about the matter. This shows lack of piety, a tendency to ranting, a weak mind, and excessive vanity. [...] If you hear, or read writing (you object to), do not react with violence until you have proof that what is expressed is wrong. Do not accept that with the enthusiasm of the credulous man either until being wholly convinced of that. In both situations you blind yourself and drift away from truth… Act like a person who has no preconceived views, one ready to know and accept what is right and reject what is wrong.”

Ibn Hazm (994–1064) Arab theologian

ibid, 116

Reading , Question , Personality , Truth

“Holy indignation is a proof that we should do the same thing ourselves, and easy tears are a certain sign of a hard heart.”

Coventry Patmore (1823–1896) English poet

Vol. II, Ch. V Aphorisms and Extracts, p. 74.
Memoirs and Correspondence (1900)

Tear , Heart

“The architects of the Constitution had the intention of making a republican and federal government which would endure with stability, insure justice, promote the general welfare and be proof against usurpation, either by the few and the rich or by the poor and the many. For the founding of a republic they had guides. For a federal system they had none. But they thoroughly believed that help could be found in the successes and failures of the past. They knew all about the ‘class struggle’—so, for that matter, did the Greek philosophers, although you would think from our young socialist friends that Karl Marx was the first person ever to notice it. They knew all about Fascism and its causes, although they called it by another name.”

Dorothy Thompson (1893–1961) American journalist and radio broadcaster

A Study of American Liberalism and its Relationship to Modern Totalitarian States (1938)
pp. 52-53
Dorothy Thompson’s Political Guide: A Study of American Liberalism and its Relationship to Modern Totalitarian States (1938)

Justice , Success , Past , Personality

“The U.S. Supreme Court has been totally incompetent and weak on the massive Election Fraud that took place in the 2020 Presidential Election. We have absolute PROOF, but they don't want to see it - No 'standing', they say. If we have corrupt elections, we have no country!”

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

Disputed tweet, quoted by * 2020-12-26
With less than a month left in office, Trump lashes out at 'totally incompetent' Supreme Court for refusing to overturn his election loss
Connor Perrett
Business Insider
2020s, 2020, December
Source: https://www.businessinsider.com/trump-supreme-court-totally-incompetent-for-refusing-to-overturn-election-2020-12?r=US&IR=T

Fraud , Country

“This Administration has been looking hard at exactly what civil defense can and cannot do. It cannot be obtained cheaply. It cannot give an assurance of blast protection that will be proof against surprise attack or guaranteed against obsolescence or destruction. And it cannot deter a nuclear attack. We will deter an enemy from making a nuclear attack only if our retaliatory power is so strong and so invulnerable that he knows he would be destroyed by our response. If we have that strength, civil defense is not needed to deter an attack. If we should ever lack it, civil defense would not be an adequate substitute. But this deterrent concept assumes rational calculations by rational men. And the history of this planet, and particularly the history of the 20th century, is sufficient to remind us of the possibilities of an irrational attack, a miscalculation, an accidental war, for a war of escalation in which the stakes by each side gradually increase to the point of maximum danger which cannot be either foreseen or deterred. It is on this basis that civil defense can be readily justifiable--as insurance for the civilian population in case of an enemy miscalculation. It is insurance we trust will never be needed--but insurance which we could never forgive ourselves for foregoing in the event of catastrophe. Once the validity of this concept is recognized, there is no point in delaying the initiation of a nation-wide long-range program of identifying present fallout shelter capacity and providing shelter in new and existing structures. Such a program would protect millions of people against the hazards of radioactive fallout in the event of large-scale nuclear attack. Effective performance of the entire program not only requires new legislative authority and more funds, but also sound organizational arrangements.”

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

Source: 1961, Speech to Special Joint Session of Congress

Forgiveness , History , Strong , War

“Those who are willing to work, those who are willing to toil, those who are willing to sacrifice, they shall be the peaceful army that He shall lead to the conquest of the great ideal Society, which they shall build under His direction and make practicable under His inspiration; and they, perhaps more than any other proof, are the sign of the new departure, are the welcome and the heralds of the coming Teacher.”

Annie Besant (1847–1933) British socialist, theosophist, women's rights activist, writer and orator

Source: Initiation, The Perfecting of Man 1923, p. 148

Teachers , Making love , Peace , Departure

“The duality of existence is completely contradictory to all available scientific training and human experience. Again, the ultimate proof of such affirmation is to experience one's self in this state of being.”

Robert Monroe (1915–1995) American founder of The Monroe Institute

Journeys Out of the Body (1971), Chapter 14. Mind and Supermind

Training , Self-confidence

“It could be ranchers. Everyone is suspicious, but the biggest suspicion comes from NGOs. [I have] ho proof. NGOs have lost money... they are unemployed. What are they trying to do? Bring me down.”

Jair Bolsonaro (1955) Brazilian president elect

On 22 August 2019, suggesting that NGOs were behind the fires in the Amazon rainforest. Bolsonaro says Brazil lacks resources to fight Amazon fires https://www.ft.com/content/8f9ded3a-c4c8-11e9-a8e9-296ca66511c9. Financial Times (22 August 2019).
2019

Money

“I don't know [why we're here]. People sometimes say to me, "Why don't you admit that the hummingbird, the butterfly, and the Bird-of-Paradise are proof of the wonderful things produced by Creation?" And I always say, "Well, when you say that, you've also got to think of a little boy sitting on a riverbank, like here, in West Africa, that's got a little worm, a living organism, that's in its eye and boring through its eyeballs and is slowly turning it blind. The creator God that you believe in, presumably, also made that little worm."”

David Attenborough (1926) British broadcaster and naturalist

Now I personally find that difficult to accommodate and so therefore [sic] when I make these films, I prefer to show what I know to be the facts, what I know to be true, and then people can deduce what they will from that.
"Sir David Attenborough" https://www.cbsnews.com/news/sir-david-attenborough/, interview with Ed Bradley, CBS News (7 November 2002)

God , People , Boy , Bird

“The most essential gift for a good writer is a built-in, shock-proof, shit detector. This is the writer's radar and all great writers have had it.”

Ernest Hemingway (1899–1961) American author and journalist

Paris Review interview (1958)

“Human worlds are always awash in superstition, only a stubborn elite proof against it.”

Sheri S. Tepper (1929–2016) American fiction writer

Source: The Margarets (2007), Chapter 34, “I Am M’urgi/On B’Yurngrad” (p. 306)

World

“The fact that Allah has blessed you to witness another Ramadan is proof that Allah wants to see you in His VIP list to enter Jannah.”

Yasir Qadhi (1975) Pakistani-American preacher and imam

“The proof of the pudding is in the eating. We're going to know shortly.”

Joe Biden (1942) 47th Vice President of the United States (in office from 2009 to 2017)

16 June 2021 https://www.politico.com/news/2021/06/16/biden-putin-geneva-494812
2021, June 2021

“People will always believe in something, without proof, just to feed their curiosity.”

Mwanandeke Kindembo (1996) Congolese author

People

“Look up! the proof is round you written large;
Your Faith is in the balance wanting found;
Your shipless seas confess it; bridgeless streams;
Your wasted wealth of ore, and moor, and bay.
Beneath the Upas shade of Faith depraved
All things lie dead -- wealth, comfort, freedom, power.”

Aubrey Thomas de Vere (1814–1902) Irish poet and critic

"The Sisters; or, Weal in Woe: An Irish Tale" in The Sisters, Inisfail, and Other Poems (1861), pp. 3-42.

Freedom , Lie , Sea , Faith

“Religious = absolute belief without proof.”

Robert A. Heinlein book Friday

Source: Friday (1982), Chapter 18 (p. 181)

“When we are combating a deadly virus & vaccine hesitancy, this kind of rhetoric is dangerous. Showing proof of vaccination is not slavery or birtherism. We are too close to give ground to COVID. Science is science. It's pretty simple - Vax up and mask up.”

Kim Janey (1965) American politician

Source: 3 August 2021 reply https://twitter.com/andreaforboston/status/1422642209938186245 by Andrea Campbell

Science

“[I]mpeachment does not require proof of a crime... The argument that only criminal offenses are impeachable is deeply and profoundly wrong. It misunderstands the Constitution, U.S. history, and the nature of criminal law in important ways.”

Laurence Tribe (1941) American lawyer and law school professor

To End a Presidency (2018)

History , Law , Nature , Way

“The first truth you must accept for Future Proofing You is that nothing can be achieved without a growth mindset.”

Jay Samit (1961) American businessman

Future Proofing You (2021)

Future , Truth

“[…] there is no love,
That merits such high christening, but is built
Firm upon some foundation out of sight;
God, country, virtue, something not ourself,
To which ourself is nothing, save the proof
Of its invisible sureness.”

Alfred Austin (1835–1913) British writer and poet

Source: Candida to Valori in Act IV, sc. iv; p. 262, Savonarola (1881)

God , Love , Country

“When I'm drinking my Bonaparte shandy
eating more than enough apple pies
will I glance at my screen
and see real human beings
starve to death right in front of my eyes?
Nothing old, nothing new, nothing ventured,
nothing gained, nothing stillborn or lost,
nothing further than proof, nothing wilder than youth,
nothing older than time, nothing sweeter than wine,
nothing physically recklessly hopelessly blind,
nothing I couldn't say
Nothing. Why? 'Cos today nothing rhymed”

Gilbert O'Sullivan (1946) Irish singer-songwriter

"Nothing Rhymed" (song)
Gilbert O'Sullivan. A live performance. On YouTube https://www.youtube.com/watch?v=MtoefxZGR6U
Gilbert O'Sullivan. A performance with orchestra, c.2017. On YouTube https://www.youtube.com/watch?v=c-SWTPDPriA
Gilbert O'Sullivan. Observations about "Nothing Rhymed", fifty years on. https://www.youtube.com/watch?v=Z2BlxtcH39Q (On YouTube)
(+ A cover version by Franklin Brown on YouTube) https://www.youtube.com/watch?v=y6kuZyk5WJ8
(+ A cover version by Colleen Coughlan on YouTube) https://www.youtube.com/watch?v=LcqndbjOPTs
(+ A cover version by Conor McCauley on YouTube) https://www.youtube.com/watch?v=8nAb0-7J9d4
(+ A cover version by The Ocelots on YouTube) https://www.youtube.com/watch?v=bRCDFiRaRA0
(+ Guitar instrumental by Phil McGarrick) https://www.youtube.com/watch?v=DmzFaUC1rDI
Song lyrics
Source: Gilbert O'Sullivan, "Nothing Rhymed" https://www.youtube.com/watch?v=OGE6gzkMAfw (song on YouTube)