Quotes about proof
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Harry Chapin photo
Aron Ra photo
Eben Moglen photo
George William Curtis photo

“The relation between physical sanitary laws and the national welfare is now hardly disputed. At this moment the cholera is stealthily feeling its terrible way along the edges of Europe to this country, and there is not an intelligent man who does not know that it is a divine vengeance upon uncleanliness. Let it seize the unclean city of New York, and it will riot in horror and devastation. Panic will empty the palaces, trade will stop in the warehouses. Those who can will flee, while the poor and wretched, poisoned in tenement-houses, will be huddled in heaps of agony and death. Does any man say that cholera is God's remedy for overpopulation? On the contrary, it is only the ghastly proof that God's laws of human health are disregarded. It is not a proclamation that the world is over-peopled; it is merely a warning for the world to provide decently for its population. God does not create men in his image to rot in tenement-houses, and he will make squalor and filth and misery plague-spots threatening the fairest prosperity, until that prosperity acknowledges in vast sanitary reforms that cleanliness is next to godliness. And if the dread pestilence now approaching our shores would frighten us into universal purgation of our foul cities, it would be seen at this moment hovering in the wintry air, not an angry demon, but a stem angel with a sword of fire to open the path of knowledge and humanity and civilization.”

George William Curtis (1824–1892) American writer

1860s, The Good Fight (1865)

Arun Shourie photo
Ernesto Grassi photo

“If philosophy aims at being a theoretical mode of thought and speech, can it have a rhetorical character and be expressed in rhetorical forms? The answer seems obvious. Theoretical thinking, as a rational process, excludes every rhetorical element because pathetic influences—the influences of feeling—disturb the clarity of rational thought. …
To prove means to show something to be something, on the basis of something. To have something through which something is shown and explained definitively is the foundation of our knowledge. Apodictic, demonstrative speech is the kind of speech which establishes the definition of a phenomenon by tracing it back to ultimate principles, or archai. It is clear that the first archai of any proof and hence of knowledge cannot be proved themselves because they cannot be the object of apodictic, demonstrative, logical speech; otherwise they would not be the first assertions. Their nonderivable, primary character is evident from the fact that we neither can speak nor comport ourselves without them, for both speech and human activity simply presuppose them. But if the original assertions are not demonstrable, what is the character of the speech in which we express them? Obviously this type of speech cannot have a rational-theoretical character….
Basic premises cannot have an apodictic, demonstrative character and structure but are thoroughly indicative….
Arche … cannot have a rational but only a rhetorical character. Thus the term "rhetoric" assumes a fundamentally new significance; "rhetoric" is not, nor can it be the art, the technique of an exterior persuasion; it is rather the speech which is the basis of the rational thought.”

Ernesto Grassi (1902–1991) Italian philosopher

Source: Rhetoric as Philosophy (1980), pp. 18-19

Paul Karl Feyerabend photo
James Madison photo
MS Dhoni photo

“Dhoni is the greatest captain of our country. His record is proof of that.”

MS Dhoni (1981) Indian cricket player

Saurav Ganguly https://www.scoopwhoop.com/sports/dhoni-quotes/#.ttnzmcqgv

Dylan Moran photo
William Bateson photo
George Ballard Mathews photo
James McNeill Whistler photo
Brigham Young photo
Ethan Allen photo
Lee Smolin photo

“The suggestion was that a positive energy proof for general relativity could be gotten by restricting supergravity to its bosonic sector, which is general relativity.”

Lee Smolin (1955) American cosmologist

"Positive energy in quantum gravity" arXiv (Jun 10, 2014)

John Cowper Powys photo
William Kingdon Clifford photo
Emma Goldman photo

“The whole history of man is continuous proof of the maxim that to divest one's methods of ethical concepts means to sink into the depths of utter demoralization.”

My Disillusionment in Russia (1923)
Context: The great and inspiring aims of the Revolution became so clouded with and obscured by the methods used by the ruling political power that it was hard to distinguish what was temporary means and what final purpose. Psychologically and socially the means necessarily influence and alter the aims. The whole history of man is continuous proof of the maxim that to divest one's methods of ethical concepts means to sink into the depths of utter demoralization. In that lies the real tragedy of the Bolshevik philosophy as applied to the Russian Revolution. May this lesson not be in vain.

“Rigor is not a yes-no property of a proof… it is a vague standard of careful treatment that is currently acceptable to a particular group.”

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

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Context: When you yourself are responsible for some new application in mathematics... then your reputation... and possibly even human lives, may depend on the results you predict. It is then the need for mathematical rigor will become painfully obvious to you.... Mathematical rigor is the clarification of the reasoning used in mathematics.... a closer examination of the numerous "hidden assumptions" is made.... Over the years there has been a gradually rising standard of rigor; proofs that satisfied the best mathematicians of one generation have been found inadequate by the next generation. Rigor is not a yes-no property of a proof... it is a vague standard of careful treatment that is currently acceptable to a particular group.

Wendell Berry photo

“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.”

Wendell Berry (1934) author

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

Sri Aurobindo photo

“This is the Sanatan Dharma, this is the eternal religion which you did not really know before, but which I have now revealed to you. The agnostic and the sceptic in you have been answered, for I have given you proofs within and without you, physical and subjective, which have satisfied you. When you go forth, speak to your nation always this word, that it is for the Sanatan Dharma that they arise, it is for the world and not for themselves that they arise. I am giving them freedom for the service of the world.”

Sri Aurobindo (1872–1950) Indian nationalist, freedom fighter, philosopher, yogi, guru and poet

The Uttarpara Address (1909)
Context: The second message came and it said, "Something has been shown to you in this year of seclusion, something about which you had your doubts and it is the truth of the Hindu religion. It is this religion that I am raising up before the world, it is this that I have perfected and developed through the Rishis, saints and Avatars, and now it is going forth to do my work among the nations. I am raising up this nation to send forth my word. This is the Sanatan Dharma, this is the eternal religion which you did not really know before, but which I have now revealed to you. The agnostic and the sceptic in you have been answered, for I have given you proofs within and without you, physical and subjective, which have satisfied you. When you go forth, speak to your nation always this word, that it is for the Sanatan Dharma that they arise, it is for the world and not for themselves that they arise. I am giving them freedom for the service of the world. When therefore it is said that India shall rise, it is the Sanatan Dharma that shall be great. When it is said that India shall expand and extend herself, it is the Sanatan Dharma that shall expand and extend itself over the world. It is for the Dharma and by the Dharma that India exists. To magnify the religion means to magnify the country. I have shown you that I am everywhere and in all men and in all things, that I am in this movement and I am not only working in those who are striving for the country but I am working also in those who oppose them and stand in their path. I am working in everybody and whatever men may think or do, they can do nothing but help in my purpose. They also are doing my work, they are not my enemies but my instruments. In all your actions you are moving forward without knowing which way you move. You mean to do one thing and you do another. You aim at a result and your efforts subserve one that is different or contrary. It is Shakti that has gone forth and entered into the people. Since long ago I have been preparing this uprising and now the time has come and it is I who will lead it to its fulfilment."

Benjamin Franklin photo

“We hear of the conversion of water into wine at the marriage in Cana as of a miracle. But this conversion is, through the goodness of God, made every day before our eyes. Behold the rain which descends from heaven upon our vineyards; there it enters the roots of the vines, to be changed into wine; a constant proof that God loves us, and loves to see us happy.”

Benjamin Franklin (1706–1790) American author, printer, political theorist, politician, postmaster, scientist, inventor, civic activist, …

Letter http://www.infomotions.com/etexts/literature/american/1700-1799/franklin-paris-247.txt to Abbé Morellet (1779).
Epistles
Context: We hear of the conversion of water into wine at the marriage in Cana as of a miracle. But this conversion is, through the goodness of God, made every day before our eyes. Behold the rain which descends from heaven upon our vineyards; there it enters the roots of the vines, to be changed into wine; a constant proof that God loves us, and loves to see us happy. The miracle in question was only performed to hasten the operation, under circumstances of present necessity, which required it.

Benjamin Peirce photo

“There is proof enough furnished by every science, but by none more than geometry, that the world to which we have been allotted is peculiarly adapted to our minds, and admirably fitted to promote our intellectual progress.”

Benjamin Peirce (1809–1880) American mathematician

Ben Yamen's Song of Geometry (1853)
Context: There is proof enough furnished by every science, but by none more than geometry, that the world to which we have been allotted is peculiarly adapted to our minds, and admirably fitted to promote our intellectual progress. There can be no reasonable doubt that it was part of the Creator's plan. How easily might the whole order have been transposed! How readily might we have been assigned to some complicated system which our feeble and finite powers could not have unravelled!

Peter Kropotkin photo

“Not only has a coercive system contributed and powerfully aided to create all the present economical, political and social evils, but it has given proof of its absolute impotence to raise the moral level of societies; it has not been even able to maintain it at the level it had already reached.”

Peter Kropotkin (1842–1921) Russian zoologist, evolutionary theorist, philosopher, scientist, revolutionary, economist, activist, geogr…

Anarchism: Its Philosophy and Ideal (1896)
Context: Not only has a coercive system contributed and powerfully aided to create all the present economical, political and social evils, but it has given proof of its absolute impotence to raise the moral level of societies; it has not been even able to maintain it at the level it had already reached. If a benevolent fairy could only reveal to our eyes all the crimes that are committed every day, every minute, in a civilized society under cover of the unknown, or the protection of law itself, — society would shudder at that terrible state of affairs.

“For these proofs Heron gave new proofs that avoided extending the lines, in order to meet the objection of anyone who would deny that the space was available for the extension.”

Morris Kline (1908–1992) American mathematician

Source: Mathematical Thought from Ancient to Modern Times (1972), p. 177
Context: Closely related to the problem of the parallel postulate is the problem of whether physical space is infinite. Euclid assumes in Postulate 2 that a straight-line segment can be extended as far as necessary; he uses this fact, but only to find a larger finite length—for example in Book I, Propositions 11, 16, and 20. For these proofs Heron gave new proofs that avoided extending the lines, in order to meet the objection of anyone who would deny that the space was available for the extension.

August Kekulé photo

“Let us learn to dream, gentlemen, and then perhaps we shall learn the truth . . . but let us beware of publishing our dreams before they have been put to the proof by the waking understanding.”

August Kekulé (1829–1896) German organic chemist

Account of his famous dream of the benzene structure, as quoted in A Life of Magic Chemistry : Autobiographical Reflections of a Nobel Prize Winner (2001) by George A. Olah, p. 54<!-- also partially quoted in Serendipity, Accidental Discoveries in Science (1989) by Royston M. Roberts , pp. 75-81 -->
Context: I was sitting writing on my textbook, but the work did not progress; my thoughts were elsewhere. I turned my chair to the fire and dozed. Again the atoms were gamboling before my eyes. This time the smaller groups kept modestly in the background. My mental eye, rendered more acute by the repeated visions of the kind, could now distinguish larger structures of manifold conformation; long rows sometimes more closely fitted together all twining and twisting in snake-like motion. But look! What was that? One of the snakes had seized hold of its own tail, and the form whirled mockingly before my eyes. As if by a flash of lightning I awoke; and this time also I spent the rest of the night in working out the consequences of the hypothesis. Let us learn to dream, gentlemen, and then perhaps we shall learn the truth... but let us beware of publishing our dreams before they have been put to the proof by the waking understanding.

Charles Sanders Peirce photo

“All nature abounds in proofs of other influences than merely mechanical action, even in the physical world.”

Charles Sanders Peirce (1839–1914) American philosopher, logician, mathematician, and scientist

Lecture II : The Universal Categories, §3. Laws: Nominalism, CP 5.65
Pragmatism and Pragmaticism (1903)
Context: All nature abounds in proofs of other influences than merely mechanical action, even in the physical world. They crowd in upon us at the rate of several every minute. And my observation of men has led me to this little generalization. Speaking only of men who really think for themselves and not of mere reporters, I have not found that it is the men whose lives are mostly passed within the four walls of a physical laboratory who are most inclined to be satisfied with a purely mechanical metaphysics. On the contrary, the more clearly they understand how physical forces work the more incredible it seems to them that such action should explain what happens out of doors. A larger proportion of materialists and agnostics is to be found among the thinking physiologists and other naturalists, and the largest proportion of all among those who derive their ideas of physical science from reading popular books.

Aristotle photo
Pierre de Fermat photo

“I propose this theorem to be proved or problem to be solved. If they succeed in discovering the proof or solution, they will acknowledge that questions of this kind are not inferior to the more celebrated ones from geometry either for depth or difficulty or method of proof”

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

Letter to Frénicle (1657) Oeuvres de Fermat Vol.II as quoted by Edward Everett Whitford, The Pell Equation http://books.google.com/books?id=L6QKAAAAYAAJ (1912)
Context: There is scarcely any one who states purely arithmetical questions, scarcely any who understands them. Is this not because arithmetic has been treated up to this time geometrically rather than arithmetically? This certainly is indicated by many works ancient and modern. Diophantus himself also indicates this. But he has freed himself from geometry a little more than others have, in that he limits his analysis to rational numbers only; nevertheless the Zetcica of Vieta, in which the methods of Diophantus are extended to continuous magnitude and therefore to geometry, witness the insufficient separation of arithmetic from geometry. Now arithmetic has a special domain of its own, the theory of numbers. This was touched upon but only to a slight degree by Euclid in his Elements, and by those who followed him it has not been sufficiently extended, unless perchance it lies hid in those books of Diophantus which the ravages of time have destroyed. Arithmeticians have now to develop or restore it. To these, that I may lead the way, I propose this theorem to be proved or problem to be solved. If they succeed in discovering the proof or solution, they will acknowledge that questions of this kind are not inferior to the more celebrated ones from geometry either for depth or difficulty or method of proof: Given any number which is not a square, there also exists an infinite number of squares such that when multiplied into the given number and unity is added to the product, the result is a square.

Thomas Henry Huxley photo

“I do not mean to suggest that scientific differences should be settled by universal suffrage, but I do conceive that solid proofs must be met by something more than empty and unsupported assertions.”

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

A Succinct History of the Controversy respecting the Cerebral Structure of Man and the Apes, Evidence as to Man's place in Nature (1863)
1860s
Context: I do not mean to suggest that scientific differences should be settled by universal suffrage, but I do conceive that solid proofs must be met by something more than empty and unsupported assertions. Yet during the two years through which this preposterous controversy has dragged its weary length, Professor Owen has not ventured to bring forward a single preparation in support of his often-repeated assertions.
The case stands thus, therefore: Not only are the statements made by me in consonance with the doctrines of the best older authorities, and with those of all recent investigators, but I am quite ready to demonstrate them on the first monkey that comes to hand; while Professor Owen's assertions are not only in diametrical opposition to both old and new authorities, but he has not produced, and, I will add, cannot produce, a single preparation which justifies them.

Báb photo

“Should a person lay claim to a cause and produce his proofs, then those who seek to repudiate him are required to produce proofs like unto his.”

Báb (1819–1850) Iranian prophet; founder of the religion Bábism; venerated in the Bahá'í Faith

XVII, 11
The Kitáb-I-Asmá
Context: Should a person lay claim to a cause and produce his proofs, then those who seek to repudiate him are required to produce proofs like unto his. If they succeed in doing so, his words will prove vain and they will prevail; otherwise neither his words will cease nor the proofs he hath set forth will become void. I admonish you, O ye who are invested with the Bayán, if ye would fain assert your ascendancy, confront not any soul unless ye give proofs similar to that which he hath adduced; for Truth shall be firmly established, while aught else besides it is sure to perish.

George Müller photo

“Truly, it is worth being poor and greatly tried in faith, for the sake of having day by day such precious proofs of the loving interest which our kind Father takes in every thing that concerns us.”

George Müller (1805–1898) German-English clergyman

A Narrative of Some of the Lord's Dealings with George Müller Written by Himself, Third Part.
Third Part of Narrative

Doug McIlroy photo

“It's proof that open-source can breed monsters just like the commercial pros.”

Doug McIlroy (1932) American computer scientist, mathematician, engineer, and programmer

Doug McIlroy (2013). In their own words: Unix pioneers remember the good times http://www.networkworld.com/article/2168942/servers/in-their-own-words--unix-pioneers-remember-the-good-times.html
Context: I don't know the counts of Unix and Linux servers. I do know that my heart sinks whenever I look under the hood in Linux. It is has been so overfed by loving hands. Over 240 system calls! Gigabytes of source! A C compiler with a 250-page user manual (not counting the language definition)! A simple page turner, 'less,' has over 40 options and 60 commands! It's proof that open-source can breed monsters just like the commercial pros. Miraculously, though, this monster works.

“We find the verses, "I came not to send peace, but a sword" (Matt. 10:34), and "Let him sell his cloak and buy a sword" (Luke 22:36), which are used as proof that Jesus wanted his disciples to be prepared for war.”

Kirby Page (1890–1957) American clergyman

Source: The Sword or the Cross, Which Should be the Weapon of the Christian Militant? (1921), Ch.4 p. 63-64
Context: We find the verses, "I came not to send peace, but a sword" (Matt. 10:34), and "Let him sell his cloak and buy a sword" (Luke 22:36), which are used as proof that Jesus wanted his disciples to be prepared for war.... in Matthew, we find that the very next verse reads: "For I came to set a man at variance against his father, and the daughter against her mother, and the daughter-in-law against her mother-in-law.... If one means that Jesus came to bring a literal sword then the next means that he came as a great home-wrecker, setting the members thereof one against the other. Such a literal interpretation prevents any clear understanding of the words of Jesus. Surely his words, "I came not to send peace but a sword," mean that he came to bring about a sharp division between those who do right and those who do wrong. In Kent's translation of the New Testament, these words read: "I did not come to bring peace, but a struggle. For I came to make a man disagree with his father, a daughter with her mother, and a daughter-in-law with her mother-in-law. It is to be doubted if a single reputable Biblical scholar can be found who will interpret these words to mean that Jesus had reference to a literal sword as a means of accomplishing a desired end. With reference to the passage in Luke, one has only to read the verses that follow to see that Jesus could not have meant these words as a sanction of war. It was the last evening of Jesus life... He himself was about to be reckoned with transgressors and surely his disciples would have to encounter bitter opposition. They must therefore be prepared must be armed must have swords.... the disciples, promptly misunderstanding Jesus' reference to a sword, reminded him that they had two, and he replied, "It is enough" or according to Moffatt's translation, "Enough! Enough!"). But obviously, two swords were not enough to defend his life from his strong and determined foes; two swords were not enough for war. They were, however, enough and even one was enough, to convey his thought of being prepared for the time of stress that was approaching. Professor Hastings Rashdall, the eminent theologian and philosopher, says in this connection: "More probably the words were 'a piece of ironical foreboding,' which the disciples took literally. The 'it is enough' will then mean, 'Drop that idea: my words were not meant seriously."

Aristotle photo
Maimónides photo

“He gave us existence; and the creation of the controlling faculty in animals is a proof of His mercy towards them”

Source: Guide for the Perplexed (c. 1190), Part III, Ch.12
Context: You will see the mercy of God toward His creatures, how He has provided that which is required, in proper proportions, and treated all individual beings of the same species with perfect equality.... for it is an act of great and perfect goodness that He gave us existence; and the creation of the controlling faculty in animals is a proof of His mercy towards them, as has been shown by us.

Robert A. Heinlein photo

“One can judge from experiment, or one can blindly accept authority. To the scientific mind, experimental proof is all important and theory is merely a convenience in description, to be junked when it no longer fits. To the academic mind, authority is everything and facts are junked when they do not fit theory laid down by authority.”

“Life-Line”, p. 24
The Past Through Tomorrow (1967)
Context: There are but two ways of forming an opinion in science. One is the scientific method; the other, the scholastic. One can judge from experiment, or one can blindly accept authority. To the scientific mind, experimental proof is all important and theory is merely a convenience in description, to be junked when it no longer fits. To the academic mind, authority is everything and facts are junked when they do not fit theory laid down by authority.

Washington Irving photo

“There rise authors now and then, who seem proof against the mutability of language, because they have rooted themselves in the unchanging principles of human nature.”

"The Mutabilities of Literature".
The Sketch Book of Geoffrey Crayon (1819–1820)
Context: There rise authors now and then, who seem proof against the mutability of language, because they have rooted themselves in the unchanging principles of human nature. They are like gigantic trees that we sometimes see on the banks of a stream; which, by their vast and deep roots, penetrating through the mere surface, and laying hold on the very foundations of the earth, preserve the soil around them from being swept away by the ever-flowing current, and hold up many a neighboring plant, and perhaps worthless weed, to perpetuity.

Alan Watts photo
Rudolf Rocker photo

“Constant tutelage of our acting and thinking has made us weak and irresponsible; hence, the continued cry for the strong man who is to put an end to our distress. This call for a dictator is not a sign of strength, but a proof of inner lack of assurance and of weakness, even though those who utter it earnestly try to give themselves the appearance of resolution.”

Source: Nationalism and Culture (1937), Ch. 15 "Nationalism — A Political Religion"
Context: The growth of technology at the expense of human personality, and especially the fatalistic submission with which the great majority surrender to this condition, is the reason why the desire for freedom is less alive among men today and has with many of them given place completely to a desire for economic security. This phenomenon need not appear so strange, for our whole evolution has reached a stage where nearly every man is either ruler or ruled; sometimes he is both. By this the attitude of dependence has been greatly strengthened, for a truly free man does not like to play the part of either the ruler or the ruled. He is, above all, concerned with making his inner values and personal powers effective in a way as to permit him to use his own judgment in all affairs and to be independent in action. Constant tutelage of our acting and thinking has made us weak and irresponsible; hence, the continued cry for the strong man who is to put an end to our distress. This call for a dictator is not a sign of strength, but a proof of inner lack of assurance and of weakness, even though those who utter it earnestly try to give themselves the appearance of resolution. What man most lacks he most desires. When one feels himself weak he seeks salvation from another's strength; when one is cowardly or too timid to move one's own hands for the forging of one's fate, one entrusts it to another. How right was Seume when he said: "The nation which can only be saved by one man and wants to be saved that way deserves a whipping!"

Benjamin Harrison photo

“The virtues of courage and patriotism have given recent proof of their continued presence and increasing power in the hearts and over the lives of our people.”

Benjamin Harrison (1833–1901) American politician, 23rd President of the United States (in office from 1889 to 1893)

Inaugural address (1889)
Context: The virtues of courage and patriotism have given recent proof of their continued presence and increasing power in the hearts and over the lives of our people. The influences of religion have been multiplied and strengthened. The sweet offices of charity have greatly increased. The virtue of temperance is held in higher estimation. We have not attained an ideal condition. Not all of our people are happy and prosperous; not all of them are virtuous and law-abiding. But on the whole the opportunities offered to the individual to secure the comforts of life are better than are found elsewhere and largely better than they were here one hundred years ago.

Eric Hoffer photo

“All active mass movements strive, therefore, to interpose a fact-proof screen between the faithful and the realities of the world”

Section 56
The True Believer (1951), Part Three: United Action and Self-Sacrifice
Context: The readiness for self-sacrifice is contingent on an imperviousness to the realities of life.... For self-sacrifice is an unreasonable act.... All active mass movements strive, therefore, to interpose a fact-proof screen between the faithful and the realities of the world.... by claiming that the ultimate and absolute truth is already embodied in their doctrine and that there is no truth nor certitude outside it.... To rely on the evidence of senses and of reason is heresy and treason. It is startling to realize how much unbelief is necessary to make belief possible. What we know as blind faith is sustained by innumerable unbeliefs.

Robert Graves photo

“Opposite our trenches a German salient protruded, and the brigadier wanted to "bite it off" in proof of the division's offensive spirit. Trench soldiers could never understand the Staff's desire to bite off an enemy salient. It was hardly desirable to be fired at from both flanks”

Robert Graves (1895–1985) English poet and novelist

Source: Goodbye to All That (1929), Ch.22.
Context: Opposite our trenches a German salient protruded, and the brigadier wanted to "bite it off" in proof of the division's offensive spirit. Trench soldiers could never understand the Staff's desire to bite off an enemy salient. It was hardly desirable to be fired at from both flanks; if the Germans had got caught in a salient, our obvious duty was to keep them there as long as they could be persuaded to stay. We concluded that a passion for straight lines, for which headquarters were well known, had dictated this plan, which had no strategic or tactical excuse.

Frederick Douglass photo

“Mankind are not held together by lies. Trust is the foundation of society. Where there is no truth, there can be no trust, and where there is no trust, there can be no society. Where there is society, there is trust, and where there is trust, there is something upon which it is supported. Now a people who have confided in each other for five thousand years; who have extended their empire in all directions until it embraces one-fifth of the population of the globe; who hold important commercial relations with all nations; who are now entering into treaty stipulations with ourselves, and with all the great European powers, cannot be a nation of cheats and liars, but must have some respect for veracity. The very existence of China for so long a period, and her progress in civilization, are proofs of her truthfulness”

Frederick Douglass (1818–1895) American social reformer, orator, writer and statesman

1860s, Our Composite Nationality (1869)
Context: It is objected to the Chinaman that he is secretive and treacherous, and will not tell the truth when he thinks it for his interest to tell a lie. There may be truth in all this; it sounds very much like the account of man’s heart given in the creeds. If he will not tell the truth, except when it is for his interest to do so, let us make it for his interest to tell the truth. We can do it by applying to him the same principle of justice that we apply to ourselves. But I doubt if the Chinese are more untruthful than other people. At this point I have one certain test. Mankind are not held together by lies. Trust is the foundation of society. Where there is no truth, there can be no trust, and where there is no trust, there can be no society. Where there is society, there is trust, and where there is trust, there is something upon which it is supported. Now a people who have confided in each other for five thousand years; who have extended their empire in all directions until it embraces one-fifth of the population of the globe; who hold important commercial relations with all nations; who are now entering into treaty stipulations with ourselves, and with all the great European powers, cannot be a nation of cheats and liars, but must have some respect for veracity. The very existence of China for so long a period, and her progress in civilization, are proofs of her truthfulness. This is the last objection which should come from those who profess the all-conquering power of the Christian religion. If that religion cannot stand contact with the Chinese, religion or no religion, so much the worse for those who have adopted it. It is the Chinaman, not the Christian, who should be alarmed for his faith. He exposes that faith to great dangers by exposing it to the freer air of America. But shall we send missionaries to the heathen to right to come to us? I think a few honest believers in the teachings of Confucius would be well employed in expounding his doctrines among us.

Winston S. Churchill photo

“The first lesson that you must learn is that, when I call for statistics about the rate of infant mortality, what I want is proof that fewer babies died when I was Prime Minister than when anyone else was Prime Minister. That is a political statistic.”

Winston S. Churchill (1874–1965) Prime Minister of the United Kingdom

When Churchill was in opposition after 1945, he led the Conservative Party in a debate about the Health Service. As he listened to Aneurin Bevan’s opening speech, he called for some statistics about infant mortality … [which were] supplied, copiously and accurately, by Iain Macleod, then working in the back rooms of the Conservative Research Department. But, in his speech, Churchill made only one bold and sweeping use … [of Macleod’s detailed research]. Encountering MacLeod afterward, Churchill made the above statement. As cited in The Life of Politics (1968), Henry Fairlie, Methuen, pp. 203-204.
Post-war years (1945–1955)
Context: I gather, young man, that you wish to be a Member of Parliament. The first lesson that you must learn is that, when I call for statistics about the rate of infant mortality, what I want is proof that fewer babies died when I was Prime Minister than when anyone else was Prime Minister. That is a political statistic.

Eric Temple Bell photo

“Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.”

Eric Temple Bell (1883–1960) mathematician and science fiction author born in Scotland who lived in the United States for most of his li…

Mathematics Magazine, Vol. 23-24. (1949), p. 161
Context: Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions. Then, in the alleged proof, be alert for inexplicit assumptions. Euclid's notorious oversights drove this lesson home.

M. C. Escher photo

“As far as I know, there is no proof whatever of the existence of an objective reality apart from our senses, and I do not see why we should accept the outside world as such solely by virtue of our senses.”

M. C. Escher (1898–1972) Dutch graphic artist

1950's, On Being a Graphic Artist', 1953
Context: As far as I know, there is no proof whatever of the existence of an objective reality apart from our senses, and I do not see why we should accept the outside world as such solely by virtue of our senses. These reality enthusiasts are possibly playing at hide-and-seek; at any rate they like to hide themselves, though they are not usually aware of it. They simply do it because they happen to have been born with a sense of reality, that is, with a great interest in so-called reality, and because man likes to forget himself.

George Mason photo

“A few years' experience will convince us that those things which at the time they happened we regarded as our greatest misfortunes have proved our greatest blessings. Of this awful truth no person has lived to my age without seeing abundant proof.”

George Mason (1725–1792) American delegate from Virginia to the U.S. Constitutional Convention

Letter to his daughter Sarah Mason McCarty after the death of an infand daughter (10 February 1785), published in The Life of George Mason, 1725-1792 Vol. 2 (1892) by Kate Mason Rowland, p. 74
Context: A few years' experience will convince us that those things which at the time they happened we regarded as our greatest misfortunes have proved our greatest blessings. Of this awful truth no person has lived to my age without seeing abundant proof. Your dear baby has died innocent and blameless, and has been called away by an all wise and merciful Creator, most probably from a life of misery and misfortune, and most certainly to one of happiness and bliss.

Benjamin Banneker photo

“I suppose it is a truth too well attested to you, to need a proof here, that we are a race of beings, who have long labored under the abuse and censure of the world; that we have long been looked upon with an eye of contempt; and that we have long been considered rather as brutish than human, and scarcely capable of mental endowments.
Sir, I hope I may safely admit, in consequence of that report which hath reached me, that you are a man far less inflexible in sentiments of this nature, than many others; that you are measurably friendly, and well disposed towards us; and that you are willing and ready to lend your aid and assistance to our relief, from those many distresses, and numerous calamities, to which we are reduced.”

Benjamin Banneker (1731–1806) free African American scientist, surveyor, almanac author and farmer

Letter to Thomas Jefferson on racism and slavery (19 August 1791) in Copy of a letter from Benjamin Banneker to the secretary of state, with his answer. http://etext.virginia.edu/etcbin/toccer-new2?id=BanLett.sgm&images=images/modeng&data=/texts/english/modeng/parsed&tag=public&part=all, p. 8. Printed and sold by Daniel Lawrence, no. 33. North Fourth-Street, near Race. Philadelphia M.DCC.XCII. (1792) http://etext.virginia.edu/images/modeng/public/BanLett/B24073a.jpg in official website of University of Virginia Library http://www2.lib.virginia.edu/etext/index.html. <!-- Retrieved 2010-06-18 -->
Context: SIr, I am fully sensible of the greatness of that freedom, which I take with you on the present occasion; a liberty which seemed to me scarcely allowable, when I reflected on that distinguished and dignified station in which you stand, and the almost general prejudice and prepossession, which is so prevalent in the world against those of my complexion.
I suppose it is a truth too well attested to you, to need a proof here, that we are a race of beings, who have long labored under the abuse and censure of the world; that we have long been looked upon with an eye of contempt; and that we have long been considered rather as brutish than human, and scarcely capable of mental endowments.
Sir, I hope I may safely admit, in consequence of that report which hath reached me, that you are a man far less inflexible in sentiments of this nature, than many others; that you are measurably friendly, and well disposed towards us; and that you are willing and ready to lend your aid and assistance to our relief, from those many distresses, and numerous calamities, to which we are reduced. Now Sir, if this is founded in truth, I apprehend you will embrace every opportunity, to eradicate that train of absurd and false ideas and opinions, which so generally prevails with respect to us; and that your sentiments are concurrent with mine, which are, that one universal Father hath given being to us all; and that he hath not only made us all of one flesh, but that he hath also, without partiality, afforded us all the same sensations and endowed us all with the same faculties; and that however variable we may be in society or religion, however diversified in situation or color, we are all of the same family, and stand in the same relation to him.
Sir, if these are sentiments of which you are fully persuaded, I hope you cannot but acknowledge, that it is the indispensible duty of those, who maintain for themselves the rights of human nature, and who possess the obligations of Christianity, to extend their power and influence to the relief of every part of the human race, from whatever burden or oppression they may unjustly labor under; and this, I apprehend, a full conviction of the truth and obligation of these principles should lead all to.

George Müller photo
Maimónides photo

“These sublime and profound themes admit of no proof whatever… In all questions that cannot be demonstrated, we must adopt the method which we have adopted in this question about God's Omniscience. Note it.”

Source: Guide for the Perplexed (c. 1190), Part III, Ch.21
Context: He fully knows His unchangeable essence, and has thus a knowledge of all that results from any of His acts. If we were to try to understand in what manner this is done, it would be the same as if we tried to be the same as God, and to make our knowledge identical with His knowledge. Those who seek the truth, and admit what is true, must believe that nothing is hidden from God; that everything is revealed to His knowledge, which is identical with His essence; that this kind of knowledge cannot be comprehended by us; for if we knew its method, we would possess that intellect by which such knowledge could be acquired.... Note this well, for I think that this is an excellent idea, and leads to correct views; no error will be found in it; no dialectical argument; it does not lead to any absurd conclusion, nor to ascribing any defect to God. These sublime and profound themes admit of no proof whatever... In all questions that cannot be demonstrated, we must adopt the method which we have adopted in this question about God's Omniscience. Note it.

Paul Erdős photo

“Proof and conjecture, and keep the SF's score low.”

Paul Erdős (1913–1996) Hungarian mathematician and freelancer

Paul Erdős - SF means Supreme Fascist http://www.youtube.com/watch?v=1qeWugmiGt4
Context: SF means Supreme Fascist — this would show that God is bad. I don't claim that this is correct, or that God exists, but it is just sort of half a joke. … As a joke I said, "What is the purpose of Life?" "Proof and conjecture, and keep the SF's score low."
Now, the game with the SF is defined as follows:
If you do something bad the SF gets at least two points.
If you don't do something good which you could have done, the SF gets at least one point.
And if nothing — if you are okay, then no one gets any point.
And the aim is to keep the SF's score low.

Louis Pasteur photo

“How is it that you do not see the essential difference between my opponents and myself? Not only have I contradicted, proof in hand, every one of their assertions, while they have never dared to seriously contradict one of mine, but, for them, every cause of error benefits their opinion.”

Louis Pasteur (1822–1895) French chemist and microbiologist

Original in French from Œuvres de Pasteur, Volume 7 (1939), Masson et cie, p. 539: Mon opinion, mieux encore, ma conviction, c'est que, dans l'état actuel de la science, comme vous dites avec raison, la génération spontanée est une chimère, et il vous serait impossible de me contredire, car mes expériences sont toutes debout, et toutes prouvent que la génération spontanée est une chimère
The Life of Pasteur (1902)
Context: You say that, in the present state of science, it is wiser to have no opinion: well, I have an opinion, not a sentimental one, but a rational one, having acquired a right to it by twenty years of assiduous labour, and it would be wise in every impartial mind to share it. My opinion — nay more, my conviction — is that, in the present state of science, as you rightly say, spontaneous generation is a chimera; and it would be impossible for you to contradict me, for my experiments all stand forth to prove that spontaneous generation is a chimera. What is then your judgment on my experiments? Have I not a hundred times placed organic matter in contact with pure air in the best conditions for it to produce life spontaneously? Have I not practised on these organic materia which are most favourable, according to all accounts, to the genesis of spontaneity, such as blood, urine, and grape juice? How is it that you do not see the essential difference between my opponents and myself? Not only have I contradicted, proof in hand, every one of their assertions, while they have never dared to seriously contradict one of mine, but, for them, every cause of error benefits their opinion. For me, affirming as I do that there are no spontaneous fermentations, I am bound to eliminate every cause of error, every perturbing influence, I can maintain my results only by means of most irreproachable experiments; their opinions, on the contrary, profit by every insufficient experiment and that is where they find their support.

Václav Havel photo

“An amalgamation of cultures is taking place. I see it as proof that something is happening, something is being born, that we are in a phase when one age is succeeding another, when everything is possible.”

Václav Havel (1936–2011) playwright, essayist, poet, dissident and 1st President of the Czech Republic

The Need for Transcendence in the Postmodern World (1994)
Context: An amalgamation of cultures is taking place. I see it as proof that something is happening, something is being born, that we are in a phase when one age is succeeding another, when everything is possible. Yes, everything is possible, because our civilization does not have its own unified style, its own spirit, its own aesthetic.

Virgil photo

“Fear is the proof of a degenerate mind.”
Degeneres animos timor arguit.

Source: Aeneid (29–19 BC), Book IV, Line 13

Adolf Hitler photo

“They have worked their way to the top by their own abilities, and this proof of their capacity – a capacity only displayed by a higher race – gives them the right to lead.”

Adolf Hitler (1889–1945) Führer and Reich Chancellor of Germany, Leader of the Nazi Party

Adolf Hitler to Max Amann, May 1930 quotes in A History of National Socialism (Responding to Fascism Vol 2) https://books.google.com/books?id=CkdZBwAAQBAJ&pg=PA127&lpg=PA127&dq=have+worked+their+way+to+the+top+by+their+own+abilities,+and+this+proof+of+their+capacity+%E2%80%93+a+capacity+only+displayed+by+a+higher+race+%E2%80%93+gives+them+the+right+to&source=bl&ots=RlP4mOW504&sig=lyFV37iP2WvQC-6al732ME_lNlo&hl=en&sa=X&ved=0ahUKEwjYi--M4aLVAhWLNT4KHS9xAW8Q6AEIKTAB#v=snippet&q=amann&f=false
1930s
Context: What right do these people have to demand a share of property or even in administration?... The employer who accepts the responsibility for production also gives the workpeople their means of livelihood. Our greatest industrialists are not concerned with the acquisition of wealth or with good living, but, above all else, with responsibility and power. They have worked their way to the top by their own abilities, and this proof of their capacity – a capacity only displayed by a higher race – gives them the right to lead.

John Stuart Mill photo

“Whatever can be proved to be good, must be so by being shown to be a means to something admitted to be good without proof.”

Source: Utilitarianism (1861), Ch. 1
Context: I shall, without further discussion of the other theories, attempt to contribute something towards the understanding and appreciation of the Utilitarian or Happiness theory, and towards such proof as it is susceptible of. It is evident that this cannot be proof in the ordinary and popular meaning of the term. Questions of ultimate ends are not amenable to direct proof. Whatever can be proved to be good, must be so by being shown to be a means to something admitted to be good without proof.

Sarvepalli Radhakrishnan photo

“The presentation of facts in logical form contributes to a confusion between discovery and proof.”

Sarvepalli Radhakrishnan (1888–1975) Indian philosopher and statesman who was the first Vice President and the second President of India

Internet Encyclopedia of Philosophy
Context: The presentation of facts in logical form contributes to a confusion between discovery and proof. If the process of discovery were mere synthesis, any mechanical manipulator of prior partial concepts would have reached the insight and it would not have taken a genius to arrive at it.

Stanley Baldwin photo

“Whatever failures may have come to parliamentary government in countries which have not those traditions, and where it is not a natural growth, that is no proof that parliamentary government has failed.”

Stanley Baldwin (1867–1947) Former Prime Minister of the United Kingdom

Speech to the Empire Parliamentary Association's Conference in Westminster Hall (4 July 1935); published in This Torch of Freedom: Speeches and Addresses (1935), p. 5
1935
Context: It is often said to-day by detractors of democracy, at home and particularly abroad, that the parliamentary system has failed. After all, this is the only country... where parliamentary government has grown up, the only country in which it is traditional and hereditary, where it is flesh of our flesh and bone of our bone. Whatever failures may have come to parliamentary government in countries which have not those traditions, and where it is not a natural growth, that is no proof that parliamentary government has failed.

John Byrom photo

“Of true Religion Works of Mercy seem
To be the plainest Proof in Christ's Esteem”

John Byrom (1692–1763) Poet, inventor of a shorthand system

"On Works of Mercy and Compassion, Considered as The Proofs of True Religion", St. 1 <!-- p. 133 -->
Miscellaneous Poems (1773)
Context: Of true Religion Works of Mercy seem
To be the plainest Proof in Christ's Esteem;
Who has Himself declar'd what He will say
To all the Nations at the Judgment Day:
"Come," or "Depart," is the predicted Lot
Of brotherly Compassion shown, or not.

Jesse Ventura photo

“I didn't need this job. I ran for governor to find out if the American dream still exists in anyone's heart other than mine. I'm living proof that the myths aren't true. The candidate with the most money isn't always the one who wins.”

Jesse Ventura (1951) American politician and former professional wrestler

I Ain't Got Time To Bleed (1999)
Context: I didn't need this job. I ran for governor to find out if the American dream still exists in anyone's heart other than mine. I'm living proof that the myths aren't true. The candidate with the most money isn't always the one who wins. You don't have to be a career politician to serve in public office. You don't have to be well-connected. You don't even have to be a Democrat or a Republican. You can stand on your own two feet and speak your mind, because if people like where you're coming from, they will vote you in. The will of the people is still the most powerful force in our government.

Benjamin Franklin photo

“Wine is constant proof that God loves us and loves to see us happy.”

Benjamin Franklin (1706–1790) American author, printer, political theorist, politician, postmaster, scientist, inventor, civic activist, …
Gordon Ramsay photo
Ricky Gervais photo

“If you can laugh in the face of adversity, you’re bullet-proof.”

Ricky Gervais (1961) English comedian, actor, director, producer, musician, writer, and former radio presenter
Ruhollah Khomeini photo
George Adamski photo
George Adamski photo
George Adamski photo
Arthur James Balfour photo
Michael Atiyah photo
Arthur Stanley Eddington photo
Frank Chin photo

“That this play is the first play by an Asian American at our existence, is proof of the great success white racism has had with us. America might love us. But America’s love is not good. It’s racist love. I don’t want it.”

Frank Chin (1940) American writer

On his play The Chickencoop Chinaman (as quoted in the book Notable Asian Americans http://smithsonianapa.org/wp-content/uploads/sites/8/2009/10/chin-frank.pdf)

Louis Pasteur photo

“You say that, in the present state of science, it is wiser to have no opinion: well, I have an opinion, not a sentimental one, but a rational one, having acquired a right to it by twenty years of assiduous labour, and it would be wise in every impartial mind to share it. My opinion — nay more, my conviction — is that, in the present state of science, as you rightly say, spontaneous generation is a chimera ; and it would be impossible for you to contradict me, for my experiments all stand forth to prove that spontaneous generation is a chimera. What is then your judgment on my experiments? Have I not a hundred times placed organic matter in contact with pure air in the best conditions for it to produce life spontaneously? Have I not practised on these organic materia which are most favourable, according to all accounts, to the genesis of spontaneity, such as blood, urine, and grape juice? How is it that you do not see the essential difference between my opponents and myself? Not only have I contradicted, proof in hand, every one of their assertions, while they have never dared to seriously contradict one of mine, but, for them, every cause of error benefits their opinion. For me, affirming as I do that there are no spontaneous fermentations, I am bound to eliminate every cause of error, every perturbing influence, I can maintain my results only by means of most irreproachable experiments; their opinions, on the contrary, profit by every insufficient experiment and that is where they find their support.”

Louis Pasteur (1822–1895) French chemist and microbiologist

Source: The Life of Pasteur (1902), p. 242; The first statement in bold in the above paragraph, as quoted from in Œuvres de Pasteur, Volume 7 (1939), Masson et cie, p. 539 reads:
Mon opinion, mieux encore, ma conviction, c'est que, dans l'état actuel de la science, comme vous dites avec raison, la génération spontanée est une chimère, et il vous serait impossible de me contredire, car mes expériences sont toutes debout, et toutes prouvent que la génération spontanée est une chimère

Arun Shourie photo
Chris Martin photo

“Chris is proof of how wonderful humans can be when they really put their minds to it.”

Chris Martin (1977) musician, co-founder of Coldplay

Will Champion on BBC Radio 2, November 28 2019.

Daniel Abraham photo
Margaret Sanger photo
August Kekulé photo
Koenraad Elst photo

“Chârvâkas, a very ancient sect in India, were rank materialists. They have died out now, and most of their books are lost. They claimed that the soul, being the product of the body and its forces, died with it; that there was no proof of its further existence. They denied inferential knowledge accepting only perception by the senses.”

Charvaka An unorthodox school of Hindu philosophy

Swami Vivekananda as recorded in the complete works of Swami Vivekananda https://en.wikisource.org/wiki/The_Complete_Works_of_Swami_Vivekananda/Volume_7/Inspired_Talks/Friday,_July_5.

Thomas Jefferson photo
William Quan Judge photo
Henry Steel Olcott photo
Alfred Percy Sinnett photo
Edmund Burke photo
I. F. Stone photo
Raymond Chandler photo
C. L. R. James photo
Theodor Mommsen photo

“Few men have had their elasticity so thoroughly put to the proof as Caesar-- the sole creative genius produced by Rome, and the last produced by the ancient world, which accordingly moved on in the path that he marked out for it until its sun went down. Sprung from one of the oldest noble families of Latium--which traced back its lineage to the heroes of the Iliad and the kings of Rome, and in fact to the Venus-Aphrodite common to both nations--he spent the years of his boyhood and early manhood as the genteel youth of that epoch were wont to spend them. He had tasted the sweetness as well as the bitterness of the cup of fashionable life, had recited and declaimed, had practised literature and made verses in his idle hours, had prosecuted love-intrigues of every sort, and got himself initiated into all the mysteries of shaving, curls, and ruffles pertaining to the toilette-wisdom of the day, as well as into the still more mysterious art of always borrowing and never paying. But the flexible steel of that nature was proof against even these dissipated and flighty courses; Caesar retained both his bodily vigour and his elasticity of mind and of heart unimpaired. In fencing and in riding he was a match for any of his soldiers, and his swimming saved his life at Alexandria; the incredible rapidity of his journeys, which usually for the sake of gaining time were performed by night--a thorough contrast to the procession-like slowness with which Pompeius moved from one place to another-- was the astonishment of his contemporaries and not the least among the causes of his success. The mind was like the body. His remarkable power of intuition revealed itself in the precision and practicability of all his arrangements, even where he gave orders without having seen with his own eyes. His memory was matchless, and it was easy for him to carry on several occupations simultaneously with equal self-possession. Although a gentleman, a man of genius, and a monarch, he had still a heart. So long as he lived, he cherished the purest veneration for his worthy mother Aurelia (his father having died early); to his wives and above all to his daughter Julia he devoted an honourable affection, which was not without reflex influence even on political affairs. With the ablest and most excellent men of his time, of high and of humbler rank, he maintained noble relations of mutual fidelity, with each after his kind. As he himself never abandoned any of his partisans after the pusillanimous and unfeeling manner of Pompeius, but adhered to his friends--and that not merely from calculation--through good and bad times without wavering, several of these, such as Aulus Hirtius and Gaius Matius, gave, even after his death, noble testimonies of their attachment to him.”

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

Vol.4. Part 2.
The History of Rome - Volume 4: Part 2

Herman Melville photo
Johann Gottlieb Fichte photo
Johann Gottlieb Fichte photo
Johann Gottlieb Fichte photo
Imran Khan photo