Quotes about proof

A collection of quotes on the topic of proof, use, other, doing.

Quotes about proof

Marie Curie photo
Jim Carrey photo
Andrea Dworkin photo
Grigori Perelman photo

“If the proof is correct then no other recognition is needed.”

Grigori Perelman (1966) Russian mathematician

[David S. Richeson, Euler's Gem: The Polyhedron Formula and the Birth of Topology, http://books.google.com/books?id=KUYLhOVkaV4C&pg=PA285, 8 March 2012, Princeton University Press, 1-4008-3856-8, 285]

Thales photo

“A multitude of words is no proof of a prudent mind.”

Thales (-624–-547 BC) ancient Greek philosopher and mathematician

As quoted in Diogenes Laërtius, The Lives and Opinions of Eminent Philosophers, I, 35; as translated in Dictionary of Quotations (Classical) edited by Thomas Benfield Harbottle, p. 455
Also translated as: "Many words do not declare an understanding heart."

Dmitri Mendeleev photo

“I have no need of proof. The laws of nature, unlike the laws of grammar, admit of no exception.”

Dmitri Mendeleev (1834–1907) Russian chemist and inventor

An Outline of the System of the Elements

Douglas Adams photo
Osama bin Laden photo

“First, for over seven years the United States has been occupying the lands of Islam in the holiest of places, the Arabian Peninsula, plundering its riches, dictating to its rulers, humiliating its people, terrorizing its neighbors, and turning its bases in the Peninsula into a spearhead through which to fight the neighboring Muslim peoples.
If some people have in the past argued about the fact of the occupation, all the people of the Peninsula have now acknowledged it. The best proof of this is the Americans' continuing aggression against the Iraqi people using the Peninsula as a staging post, even though all its rulers are against their territories being used to that end, but they are helpless.
Second, despite the great devastation inflicted on the Iraqi people by the crusader-Zionist alliance, and despite the huge number of those killed, which has exceeded 1 million… despite all this, the Americans are once again trying to repeat the horrific massacres, as though they are not content with the protracted blockade imposed after the ferocious war or the fragmentation and devastation.
So here they come to annihilate what is left of this people and to humiliate their Muslim neighbors.
Third, if the Americans' aims behind these wars are religious and economic, the aim is also to serve the Jews' petty state and divert attention from its occupation of Jerusalem and murder of Muslims there. The best proof of this is their eagerness to destroy Iraq, the strongest neighboring Arab state, and their endeavor to fragment all the states of the region such as Iraq, Saudi Arabia, Egypt, and Sudan into paper statelets and through their disunion and weakness to guarantee Israel's survival and the continuation of the brutal crusade occupation of the Peninsula.”

Osama bin Laden (1957–2011) founder of al-Qaeda

1990s, Jihad Against Jews and Crusaders (1998)

Muhammad Yunus photo

“All human beings have an innate skill — survival skill. The fact that poor are still alive is a proof of their ability to survive. We do not need to teach them how to survive. They know this already.”

Muhammad Yunus (1940) Bangladeshi banker, economist and Nobel Peace Prize recipient

Profile at North American Bangladesh Info Center http://www.bongoz.com/people/yunus.html

Friedrich Schiller photo

“The voice of the majority is no proof of justice.”

Friedrich Schiller (1759–1805) German poet, philosopher, historian, and playwright

As quoted in A Dictionary of Thoughts : Being a Cyclopedia of Laconic Quotations from the Best Authors, Both Ancient and Modern (1891) edited by Tryon Edwards. p. 324

Ion Antonescu photo
George Sand photo

“Art is a demonstration of which nature is the proof.”

George Sand (1804–1876) French novelist and memoirist; pseudonym of Lucile Aurore Dupin

L'art est une démonstration dont la nature est la preuve.
François le Champi, Introduction (1848); Jane Minot Sedgwick (trans.) François the Waif {New York: H. M. Caldwell, 1894) p. 17

Konrad Zuse photo

“The belief in a certain idea gives to the researcher the support for his work. Without this belief he would be lost in a sea of doubts and insufficiently verified proofs.”

Konrad Zuse (1910–1995) German computer scientist and engineer

Der Glaube an eine bestimmte Idee gibt dem Forscher den Rückhalt für seine Arbeit. Ohne diesen Glauben wäre er verloren in einem Meer von Zweifeln und halbgültigen Beweisen.
Attributed in Konrad Zuse http://www.dpma.de/ponline/erfindergalerie/bio_zuse.html on "Die Erfindergalerie", dpma.de, 2008

Luc de Clapiers, Marquis de Vauvenargues photo

“As it is natural to believe many things without proof, so, despite all proof, is it natural to disbelieve others.”

Luc de Clapiers, Marquis de Vauvenargues (1715–1747) French writer, a moralist

Source: Reflections and Maxims (1746), p. 184.

Mohammed bin Rashid al-Maktoum photo
Vladimir Nabokov photo
Oscar Wilde photo
William Paley photo
Archimedes photo
Nick Cave photo
Colette photo
Socrates photo
Muhammad photo

“Your lack of common sense (can be well judged from the fact) that the evidence of two women is equal to one man, that is a proof of the lack of common sense, and you spend some nights (and days) in which you do not offer prayer and in the month of Ramadan (during the days) you do not observe fast, that is a failing in religion.”

Muhammad (570–632) Arabian religious leader and the founder of Islam

Sahih Muslim, Book 001, Number 0142
Sunni Hadith
Context: It is narrated on the authority of 'Abdullah b. Umar that the Messenger of Allah observed: O womenfolk, you should give charity and ask much forgiveness for I saw you in bulk amongst the dwellers of Hell. A wise lady among them said: Why is it, Messenger of Allah, that our folk is in bulk in Hell? Upon this the Holy Prophet observed: You curse too much and are ungrateful to your spouses. I have seen none lacking in common sense and failing in religion but (at the same time) robbing the wisdom of the wise, besides you. Upon this the woman remarked: What is wrong with our common sense and with religion? He (the Holy Prophet) observed: Your lack of common sense (can be well judged from the fact) that the evidence of two women is equal to one man, that is a proof of the lack of common sense, and you spend some nights (and days) in which you do not offer prayer and in the month of Ramadan (during the days) you do not observe fast, that is a failing in religion. This hadith has been narrated on the authority of Abu Tahir with this chain of transmitters.

Ashley Montagu photo

“The scientist believes in proof without certainty, the bigot in certainty without proof.”

Ashley Montagu (1905–1999) British-American anthropologist

The second sentence is often misquoted as “Science has proof without any certainty. Creationists have certainty without any proof.” or “Religion gives us certainty without proof; science gives us proof without certainty.”
Context: Bigotry and science can have no communication with each other, for science begins where bigotry and absolute certainty end. The scientist believes in proof without certainty, the bigot in certainty without proof. Let us never forget that tyranny most often springs from a fanatical faith in the absoluteness of one’s beliefs.

Libba Bray photo
Jimmy Carter photo
Terry Pratchett photo
Douglas Adams photo
Abraham Lincoln photo
William Shakespeare photo
David Lynch photo
Terry Pratchett photo
William Shakespeare photo
Blaise Pascal photo

“People almost invariably arrive at their beliefs not on the basis of proof but on the basis of what they find attractive.”

Blaise Pascal (1623–1662) French mathematician, physicist, inventor, writer, and Christian philosopher

De l'Art de persuader ["On the Art of Persuasion"], written 1658; published posthumously.
Source: De l'art de persuader

Wilhelm Reich photo

“The fact that political ideologies are tangible realities is not a proof of their vitally necessary character. The bubonic plague was an extraordinarily powerful social reality, but no one would have regarded it as vitally necessary.”

Section 3 : Work Democracy versus Politics. The Natural Social Forces for the Mastery of the Emotional Plague;
Variant translation: The fact that political ideologies are tangible, active realities does not prove their necessity. The bubonic plague was an extremely potent social reality. But nobody would have argued that, because it existed, it was necessary and nothing should be done about it.
The Mass Psychology of Fascism (1933), Ch. 10 : Work Democracy

Ayn Rand photo

“A quest for self-respect is proof of its lack”

Source: The Fountainhead

Noam Chomsky photo
Rainer Maria Rilke photo

“For one human being to love another: that is perhaps the most difficult of all our tasks, the ultimate, the last test and proof, the work for which all other work is but preparation.”

Rainer Maria Rilke (1875–1926) Austrian poet and writer

Letter Seven (14 May 1904)
Letters to a Young Poet (1934)
Variant: For one human being to love another human being: that is perhaps the most difficult task that has been given to us, the ultimate, the final problem and proof, the work for which all other work is merely preparation.
Source: The Selected Poetry of Rainer Maria Rilke
Context: People have (with the help of conventions) oriented all their solutions toward the easy and toward the easiest side of the easy; but it is clear that we must hold to what is difficult; everything alive holds to it, everything in Nature grows and defends itself in its own way and is characteristically and spontaneously itself, seeks at all costs to be so and against all opposition. We know little, but that we must hold to what is difficult is a certainty that will not forsake us; it is good to be solitary, for solitude is difficult; that something is difficult must be a reason the more for us to do it.
To love is good, too: love being difficult. For one human being to love another: that is perhaps the most difficult of all our tasks, the ultimate, the last test and proof, the work for which all other work is but preparation.

Jean Cocteau photo

“There's no such thing as love; only proof of love.”

Jean Cocteau (1889–1963) French poet, novelist, dramatist, designer, boxing manager and filmmaker
Friedrich Nietzsche photo
William Shakespeare photo
H.P. Lovecraft photo

“The very fact that religions are not content to stand on their own feet, but insist on crippling or warping the flexible minds of children in their favour, forms a sufficient proof that there is no truth in them. If there were any truth in religion, it would be even more acceptable to a mature mind than to an infant mind—yet no mature mind ever accepts religion unless it has been crippled in infancy. … The whole basis of religion is a symbolic emotionalism which modern knowledge has rendered meaningless & even unhealthy. Today we know that the cosmos is simply a flux of purposeless rearrangement amidst which man is a wholly negligible incident or accident. There is no reason why it should be otherwise, or why we should wish it otherwise. All the florid romancing about man's "dignity", "immortality", &c. &c. is simply egotistical delusions plus primitive ignorance. So, too, are the infantile concepts of "sin" or cosmic "right" & "wrong". Actually, organic life on our planet is simply a momentary spark of no importance or meaning whatsoever. Man matters to nobody except himself. Nor are his "noble" imaginative concepts any proof of the objective reality of the things they visualise. Psychologists understand how these concepts are built up out of fragments of experience, instinct, & misapprehension. Man is essentially a machine of a very complex sort, as La Mettrie recognised nearly 2 centuries ago. He arises through certain typical chemical & physical reactions, & his members gradually break down into their constituent parts & vanish from existence. The idea of personal "immortality" is merely the dream of a child or savage. However, there is nothing anti-ethical or anti-social in such a realistic view of things. Although meaning nothing in the cosmos as a whole, mankind obviously means a good deal to itself. Therefore it must be regulated by customs which shall ensure, for its own benefit, the full development of its various accidental potentialities. It has a fortuitous jumble of reactions, some of which it instinctively seeks to heighten & prolong, & some of which it instinctively seeks to shorten or lessen. Also, we see that certain courses of action tend to increase its radius of comprehension & degree of specialised organisation (things usually promoting the wished-for reactions, & in general removing the species from a clod-like, unorganised state), while other courses of action tend to exert an opposite effect. Now since man means nothing to the cosmos, it is plan that his only logical goal (a goal whose sole reference is to himself) is simply the achievement of a reasonable equilibrium which shall enhance his likelihood of experiencing the sort of reactions he wishes, & which shall help along his natural impulse to increase his differentiation from unorganised force & matter. This goal can be reached only through teaching individual men how best to keep out of each other's way, & how best to reconcile the various conflicting instincts which a haphazard cosmic drift has placed within the breast of the same person. Here, then, is a practical & imperative system of ethics, resting on the firmest possible foundation & being essentially that taught by Epicurus & Lucretius. It has no need of supernatualism, & indeed has nothing to do with it.”

H.P. Lovecraft (1890–1937) American author

Letter to Natalie H. Wooley (2 May 1936), in Selected Letters V, 1934-1937 edited by August Derleth and Donald Wandrei, pp. 240-241
Non-Fiction, Letters

Bhimrao Ramji Ambedkar photo
Kurt Vonnegut photo

“If I should ever die, God forbid, let this be my epitaph:
THE ONLY PROOF HE NEEDED
FOR THE EXISTENCE OF GOD
WAS MUSIC”

Kurt Vonnegut (1922–2007) American writer

As quoted in "Vonnegut's Blues For America" Sunday Herald (7 January 2006)
Various interviews

Helena Petrovna Blavatsky photo
Pierre de Fermat photo

“And this proposition is generally true for all progressions and for all prime numbers; the proof of which I would send to you, if I were not afraid to be too long.”

Pierre de Fermat (1601–1665) French mathematician and lawyer

Et cette proposition est généralement vraie en toutes progressions et en tous nombres premiers; de quoi je vous envoierois la démonstration, si je n'appréhendois d'être trop long.
Fermat (in a letter dated October 18, 1640 to his friend and confidant Frénicle de Bessy) commenting on his statement that p divides a<sup> p−1</sup> − 1 whenever p is prime and a is coprime to p (this is what is now known as Fermat's little theorem).

Luc de Clapiers, Marquis de Vauvenargues photo
Max Planck photo
Anna Kingsford photo

“How many times, for instance, have we not heard people speak with all the authority of conviction about the "canine teeth" and "simple stomach" of man, as certain evidence of his natural adaptation for a flesh diet! At least we have demonstrated one fact; that if such arguments are valid, they apply with even greater force to the anthropoid apes—whose "canine" teeth are much longer and more powerful than those of man … And yet, with the solitary exception of man, there is not one of these last which does not in a natural condition absolutely refuse to feed on flesh! M. Pouchet observes that all the details of the digestive apparatus in man, as well as his dentition, constitute "so many proofs of his frugivorous origin"—an opinion shared by Professor Owen, who remarks that the anthropoids and all the quadrumana derive their alimentation from fruits, grains, and other succulent and nutritive vegetable substances, and that the strict analogy which exists between the structure of these animals and that of man clearly demonstrates his frugivorous nature. This is also the view taken by Cuvier, Linnæus, Professor Lawrence, Charles Bell, Gassendi, Flourens, and a great number of other eminent writers.”

Anna Kingsford (1846–1888) English physician, activist and feminist

The Perfect Way in Diet (London: Kegan Paul, Trench & Co., 1881), pp. 13 https://archive.org/stream/perfectwayindie00kinggoog#page/n34-14.

Friedrich Nietzsche photo

“To say it once again: today I find it an impossible book — badly written, clumsy and embarrassing, its images frenzied and confused, sentimental, in some places saccharine-sweet to the point of effeminacy, uneven in pace, lacking in any desire for logical purity, so sure of its convictions that it is above any need for proof, and even suspicious of the propriety of proof, a book for initiates, 'music' for those who have been baptized in the name of music and who are related from the first by their common and rare experiences of art, a shibboleth for first cousins in artibus [in the arts] an arrogant and fanatical book that wished from the start to exclude the profanum vulgus [the profane mass] of the 'educated' even more than the 'people'; but a book which, as its impact has shown and continues to show, has a strange knack of seeking out its fellow-revellers and enticing them on to new secret paths and dancing-places.”

Nochmals gesagt, heute ist es mir ein unmögliches Buch, - ich heisse es schlecht geschrieben, schwerfällig, peinlich, bilderwüthig und bilderwirrig, gefühlsam, hier und da verzuckert bis zum Femininischen, ungleich im Tempo, ohne Willen zur logischen Sauberkeit, sehr überzeugt und deshalb des Beweisens sich überhebend, misstrauisch selbst gegen die Schicklichkeit des Beweisens, als Buch für Eingeweihte, als "Musik" für Solche, die auf Musik getauft, die auf gemeinsame und seltene Kunst-Erfahrungen hin von Anfang der Dinge an verbunden sind, als Erkennungszeichen für Blutsverwandte in artibus, - ein hochmüthiges und schwärmerisches Buch, das sich gegen das profanum vulgus der "Gebildeten" von vornherein noch mehr als gegen das "Volk" abschliesst, welches aber, wie seine Wirkung bewies und beweist, sich gut genug auch darauf verstehen muss, sich seine Mitschwärmer zu suchen und sie auf neue Schleichwege und Tanzplätze zu locken.
"Attempt at a Self-Criticism", p. 5
The Birth of Tragedy (1872)

Rich Mullins photo

“The Bible is such an interesting book to me, because it says so many things that you can't really follow it all, I don't think, can you? So I guess that's why God invented highlighters, so we could find the parts we especially like and mark them up and just follow that, cause I think if you follow any of it, you're doing pretty good, except for the part - my favorite part - did you know the most reiterated command in the whole Bible is the command to sing? Now there must be a reason for that. And uh, that's why I sing. I don't really enjoy it, I think it's hard work. I like writing, but I sing because I figure if you find a command that easy to follow you should do it a whole lot. Cause the rest of them are kinda rough, except the first command, the one to be fruitful and multiply. Most people I know have trouble not keeping that command. That's the thing that cracks me up about you know, proof-texting too. Everyone's proof-texting this book about Christ and Christ Himself said, you know, you search the Scriptures to find life, and you're not gonna find it there. But no one underlined that part, not even my folks, because we live in a time when we have come to believe that there are answers… and I don't know why we believe that. And even more worrisome is I'm not even sure why we ever came to believe that questions are all that important.”

Rich Mullins (1955–1997) American christian musician

Wheaton, Illinois http://www.kidbrothers.net/words/concert-transcripts/wheaton-illinois-sep1590-backup-copy.html (April 11, 1997)
In Concert

George Washington photo
Friedrich Nietzsche photo

“Perhaps no philosopher is more correct than the cynic. The happiness of the animal, that thorough cynic, is the living proof of cynicism.”

§ 2.1, cited in Peter Sloterdijk, Critique of Cynical Reason (1987), p. ix
Untimely Meditations (1876)

Ray Comfort photo
Niels Henrik Abel photo

“My work in the future must be devoted entirely to pure mathematics in its abstract meaning. I shall apply all my strength to bring more light into the tremendous obscurity which one unquestionably finds in analysis. It lacks so completely all plan and system that it is peculiar that so many have studied it. The worst of it is, it has never been treated stringently. There are very few theorems in advanced analysis which have been demonstrated in a logically tenable manner. Everywhere one finds this miserable way of concluding from the special to the general, and it is extremely peculiar that such a procedure has led to do few of the so-called paradoxes. It is really interesting to seek the cause.
In analysis, one is largely occupied by functions which can be expressed as powers. As soon as other powers enter—this, however, is not often the case—then it does not work any more and a number of connected, incorrect theorems arise from false conclusions. I have examined several of them, and been so fortunate as to make this clear. …I have had to be extremely cautious, for the presumed theorems without strict proof… had taken such a stronghold in me, that I was continually in danger of using them without detailed verification.”

Niels Henrik Abel (1802–1829) Norwegian mathematician

Letter to Christoffer Hansteen (1826) as quoted by Øystein Ore, Niels Henrik Abel: Mathematician Extraordinary (1957) & in part by Morris Kline, Mathematical Thought from Ancient to Modern Times (1972) citing Œuvres, 2, 263-65

Blaise Pascal photo

“These five rules [above] form all that is necessary to render proofs convincing, immutable, and to say all, geometrical; and the eight rules together render them even more perfect.”

Blaise Pascal (1623–1662) French mathematician, physicist, inventor, writer, and Christian philosopher

The Art of Persuasion

Annie Besant photo

“Refusal to believe until proof is given is a rational position; denial of all outside of our own limited experience is absurd.”

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

Annie Besant: An Autobiography (1893) https://books.google.com/books?id=uBA3AQAAMAAJ, p. 357; 3rd edition (1908) https://books.google.com/books?id=5zNPAQAAMAAJ&pg, p. 357

Leonardo Da Vinci photo
Mark Twain photo

“"In God We Trust." Now then, after that legend had remained there forty years or so, unchallenged and doing no harm to anybody, the President suddenly "threw a fit" the other day, as the popular expression goes, and ordered that remark to be removed from our coinage.
Mr. Carnegie granted that the matter was not of consequence, that a coin had just exactly the same value without the legend as with it, and he said he had no fault to find with Mr. Roosevelt's action but only with his expressed reasons for the act. The President had ordered the suppression of that motto because a coin carried the name of God into improper places, and this was a profanation of the Holy Name. Carnegie said the name of God is used to being carried into improper places everywhere and all the time, and that he thought the President's reasoning rather weak and poor.
I thought the same, and said, "But that is just like the President. If you will notice, he is very much in the habit of furnishing a poor reason for his acts while there is an excellent reason staring him in the face, which he overlooks. There was a good reason for removing that motto; there was, indeed, an unassailably good reason — in the fact that the motto stated a lie. If this nation has ever trusted in God, that time has gone by; for nearly half a century almost its entire trust has been in the Republican party and the dollar–mainly the dollar. I recognize that I am only making an assertion and furnishing no proof; I am sorry, but this is a habit of mine; sorry also that I am not alone in it; everybody seems to have this disease.
Take an instance: the removal of the motto fetched out a clamor from the pulpit; little groups and small conventions of clergymen gathered themselves together all over the country, and one of these little groups, consisting of twenty-two ministers, put up a prodigious assertion unbacked by any quoted statistics and passed it unanimously in the form of a resolution: the assertion, to wit, that this is a Christian country. Why, Carnegie, so is hell. Those clergymen know that, inasmuch as "Strait is the way and narrow is the gate, and few — few — are they that enter in thereat" has had the natural effect of making hell the only really prominent Christian community in any of the worlds; but we don't brag of this and certainly it is not proper to brag and boast that America is a Christian country when we all know that certainly five-sixths of our population could not enter in at the narrow gate.”

Mark Twain (1835–1910) American author and humorist

Statements (c. December 1907), in Mark Twain In Eruption : Hitherto Unpublished Pages About Men And Events (1940) edited by Bernard Augustine De Voto

Joseph Stalin photo
Blaise Pascal photo

“These eight rules [above] contain all the precepts for solid and immutable proofs.”

Blaise Pascal (1623–1662) French mathematician, physicist, inventor, writer, and Christian philosopher

The Art of Persuasion

Pope Francis photo
Isaac Newton photo

“In default of any other proof, the thumb would convince me of the existence of a God.”

Isaac Newton (1643–1727) British physicist and mathematician and founder of modern classical physics

Reported as something said by Newton in Charles Dickens's All the Year Round https://books.google.es/books?id=bd0NAAAAQAAJ&q=%22the+thumb+would+convince+me+of+the+existence+of+a+God%22+dickens&dq=%22the+thumb+would+convince+me+of+the+existence+of+a+God%22+dickens&hl=es&sa=X&ei=fgHtVJ3BB4WXgwTAzoOwBA&ved=0CCAQ6AEwAA (1864), Vol. 10, p. 346; later found in " The Book of the Hand http://dds.crl.edu/loadStream.asp?iid=28101" (1867) by A R. Craig, S. Low and Marston, p. 51:
"In want of other proofs, the thumb would convince me of the existence of a God; as without the thumb the hand would be a defective and incomplete instrument, so without the moral will, logic, decision, faculties of which the thumb in different degrees offers the different signs, the most fertile and the most brilliant mind would only be a gift without worth."
A slight variant of this is cited as something Newton once "exclaimed" in Human Nature : An Interdisciplinary Biosocial Perspective http://books.google.es/books?id=c6O0AAAAIAAJ&q=In+the+absence+of+any+other+proof,+the+thumb+alone+would+convince+me+of+God's+existence.&dq=In+the+absence+of+any+other+proof,+the+thumb+alone+would+convince+me+of+God's+existence.&hl=es&sa=X&ei=KAkMUuLjL-am2gWtnoHgDg&ved=0CFUQ6AEwBQ, Vol. 1, Issues 7-12 (1978), p. 47: "In the absence of any other proof, the thumb alone would convince me of God's existence."

Abraham Lincoln photo

“Let us notice some more of the stale charges against Republicans. You say we are sectional. We deny it. That makes an issue; and the burden of proof is upon you. You produce your proof; and what is it? Why, that our party has no existence in your section — gets no votes in your section. The fact is substantially true; but does it prove the issue? If it does, then in case we should, without change of principle, begin to get votes in your section, we should thereby cease to be sectional. You cannot escape this conclusion; and yet, are you willing to abide by it? If you are, you will probably soon find that we have ceased to be sectional, for we shall get votes in your section this very year. The fact that we get no votes in your section is a fact of your making, and not of ours. And if there be fault in that fact, that fault is primarily yours, and remains so until you show that we repel you by some wrong principle or practice. If we do repel you by any wrong principle or practice, the fault is ours; but this brings you to where you ought to have started — to a discussion of the right or wrong of our principle. If our principle, put in practice, would wrong your section for the benefit of ours, or for any other object, then our principle, and we with it, are sectional, and are justly opposed and denounced as such. Meet us, then, on the question of whether our principle, put in practice, would wrong your section; and so meet it as if it were possible that something may be said on our side. Do you accept the challenge? No? Then you really believe that the principle which our fathers who framed the Government under which we live thought so clearly right as to adopt it, and indorse it again and again, upon their official oaths, is, in fact, so clearly wrong as to demand your condemnation without a moment's consideration.”

Abraham Lincoln (1809–1865) 16th President of the United States

1860s, Allow the humblest man an equal chance (1860)

Georg Cantor photo
Blaise Pascal photo
Frederick Buechner photo
Francis S. Collins photo

“Yes, evolution by descent from a common ancestor is clearly true. If there was any lingering doubt about the evidence from the fossil record, the study of DNA provides the strongest possible proof of our relatedness to all other living things.”

Francis S. Collins (1950) Geneticist; Director of the National Institutes of Health

"Collins: Why this scientist believes in God" http://www.cnn.com/2007/US/04/03/collins.commentary/index.html, editorial, CNN (April 6, 2007)

Jordan Peterson photo

“Proof itself, of any sort, is impossible, without an axiom (as Godel proved). Thus faith in God is a prerequisite for all proof.”

Jordan Peterson (1962) Canadian clinical psychologist, cultural critic, and professor of psychology

Twitter, November 25, 2013 ( archive http://archive.is/khKVm)
Other

Samuel Taylor Coleridge photo
Emil M. Cioran photo
Socrates photo
Bertrand Russell photo
Gottlob Frege photo
Emil M. Cioran photo

“They ask you for facts, proofs, works, and all you can show them are transformed tears.”

Emil M. Cioran (1911–1995) Romanian philosopher and essayist

The New Gods (1969)

Tacitus photo
Muhammad al-Mahdi photo

“The oppressors alleged that Allah’s proof is invalid, and if we were permitted to speak out, the uncertainty would disappear.”

Muhammad al-Mahdi (869–941) 12th and last Imam in Twelver Shia Islam

Majlisi, Bihārul Anwār, vol.51 p. 4
Religious-based Quotes

Emil M. Cioran photo
John D. Carmack photo
Terry Pratchett photo
Bertrand Russell photo
Gottlob Frege photo
Marie von Ebner-Eschenbach photo

“An apparent contradiction of a natural law is only the rarely occurring proof of another natural law.”

Marie von Ebner-Eschenbach (1830–1916) Austrian writer

Ein scheinbarer Widerspruch gegen ein Naturgesetz ist nur die selten vorkommende Betätigung eines andern Naturgesetzes.
Source: Aphorisms (1880/1893), p. 36.

Kanō Jigorō photo
Quintilian photo

“History is written for the purpose of narration and not in order to give proof.”
Historia et scribitur ad narrandum non ad probandum.

Quintilian (35–96) ancient Roman rhetor

Book X, Chapter I, 31
De Institutione Oratoria (c. 95 AD)

George Washington photo

“The Author of the piece, is entitled to much credit for the goodness of his Pen: and I could wish he had as much credit for the rectitude of his Heart — for, as Men see thro’ different Optics, and are induced by the reflecting faculties of the Mind, to use different means to attain the same end; the Author of the Address, should have had more charity, than to mark for Suspicion, the Man who should recommend Moderation and longer forbearance — or, in other words, who should not think as he thinks, and act as he advises. But he had another plan in view, in which candor and liberality of Sentiment, regard to justice, and love of Country, have no part; and he was right, to insinuate the darkest suspicion, to effect the blackest designs.
That the Address is drawn with great art, and is designed to answer the most insidious purposes. That it is calculated to impress the Mind, with an idea of premeditated injustice in the Sovereign power of the United States, and rouse all those resentments which must unavoidably flow from such a belief. That the secret Mover of this Scheme (whoever he may be) intended to take advantage of the passions, while they were warmed by the recollection of past distresses, without giving time for cool, deliberative thinking, & that composure of Mind which is so necessary to give dignity & stability to measures, is rendered too obvious, by the mode of conducting the business, to need other proof than a reference to the proceeding.”

George Washington (1732–1799) first President of the United States

1780s, The Newburgh Address (1783)

Paul Valéry photo

“The folly of mistaking a paradox for a discovery, a metaphor for a proof, a torrent of verbiage for a spring of capital truths, and oneself for an oracle, is inborn in us.”

Paul Valéry (1871–1945) French poet, essayist, and philosopher

Le mal de prendre une hypallage pour une découverte, une métaphore pour une démonstration, un vomissement de mots pour un torrent de connaissances capitales, et soi-même pour un oracle, ce mal naît avec nous.
Introduction to the Method of Leonardo da Vinci (1895)

C.G. Jung photo
Mark Twain photo
Andrew Wiles photo
Stefan Banach photo

“A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories. One can imagine that the ultimate mathematician is one who can see analogies between analogies.”

Stefan Banach (1892–1945) Polish &Ukrainian mathematician

[Beata Randrianantoanina, Narcisse Randrianantoanina, Banach Spaces and Their Applications in Analysis: Proceedings of the International Conference at Miami University, May 22-27, 2006, in Honor of Nigel Kalton's 60th Birthday, http://books.google.com/books?id=1GiwqU-gB_kC&pg=PR5, 2007, Walter de Gruyter, 978-3-11-019449-4, 5]

Hasan ibn Ali photo
Miguel de Cervantes photo

“The proof of the pudding is in the eating.”

Miguel de Cervantes (1547–1616) Spanish novelist, poet, and playwright

Source: Don Quixote de la Mancha (1605–1615), Part I, Book IV, Ch. 10.

Emile Zola photo

“But this letter is long, Sir, and it is time to conclude it.
I accuse Lt. Col. du Paty de Clam of being the diabolical creator of this miscarriage of justice — unwittingly, I would like to believe — and of defending this sorry deed, over the last three years, by all manner of ludricrous and evil machinations.
I accuse General Mercier of complicity, at least by mental weakness, in one of the greatest inequities of the century.
I accuse General Billot of having held in his hands absolute proof of Dreyfus’s innocence and covering it up, and making himself guilty of this crime against mankind and justice, as a political expedient and a way for the compromised General Staff to save face.
I accuse Gen. de Boisdeffre and Gen. Gonse of complicity in the same crime, the former, no doubt, out of religious prejudice, the latter perhaps out of that esprit de corps that has transformed the War Office into an unassailable holy ark.
I accuse Gen. de Pellieux and Major Ravary of conducting a villainous enquiry, by which I mean a monstrously biased one, as attested by the latter in a report that is an imperishable monument to naïve impudence.
I accuse the three handwriting experts, Messrs. Belhomme, Varinard and Couard, of submitting reports that were deceitful and fraudulent, unless a medical examination finds them to be suffering from a condition that impairs their eyesight and judgement.
I accuse the War Office of using the press, particularly L’Eclair and L’Echo de Paris, to conduct an abominable campaign to mislead the general public and cover up their own wrongdoing.
Finally, I accuse the first court martial of violating the law by convicting the accused on the basis of a document that was kept secret, and I accuse the second court martial of covering up this illegality, on orders, thus committing the judicial crime of knowingly acquitting a guilty man.”

J'accuse! (1898)

Auguste Comte photo
Marie von Ebner-Eschenbach photo

“Dilettantes have not achieved anything lasting even in the applied arts. But they have rendered some service to the highest of all disciplines: philosophy. Montaigne, La Rochefoucauld, Vauvenargues are proof of this.”

Marie von Ebner-Eschenbach (1830–1916) Austrian writer

Dilettanten haben nicht einmal in einer sekundären Kunst etwas Bleibendes geleistet, sich aber verdient gemacht um die höchste aller Wissenschaften, die Philosophie. Den Beweis dafür liefern: Montaigne, La Rochefoucauld, Vauvenargues.
Source: Aphorisms (1880/1893), p. 55.

G. H. Hardy photo
Anthony the Great photo

“To those who have an active belief, reasoned proofs are needless and probably useless.”

Anthony the Great (251–357) Christian saint, monk, and hermit

Book IV, Chapter 17
From St. Athanasius' Life of St. Antony