“Newton saw the truth of many propositions of geometry without reading the demonstrations, but not, we may be sure, without their flashing through his mind. A truth, or supposed truth, which is really the result of a very rapid inference, may seem to be apprehended intuitively. It has long been agreed by thinkers of the most opposite schools, that this mistake is actually made in so familiar an instance as that of the eyesight. There is nothing of which we appear to ourselves to be more directly conscious, than the distance of an object from us. Yet it has long been ascertained, that what is perceived by the eye, is at most nothing more than a variously coloured surface; that when we fancy we see distance, all we really see is certain variations of apparent size, and degrees of faintness of colour; and that our estimate of the object's distance from us is the result of a comparison (made with so much rapidity that we are unconscious of making it) between the size and colour of the object as they appear at the time, and the size and colour of the same or of similar objects as they appeared when close at hand, or when their degree of remoteness was known by other evidence.”
Source: A System of Logic (1843), p. 4
Context: [W]e may fancy that we see or feel what we in reality infer. Newton saw the truth of many propositions of geometry without reading the demonstrations, but not, we may be sure, without their flashing through his mind. A truth, or supposed truth, which is really the result of a very rapid inference, may seem to be apprehended intuitively. It has long been agreed by thinkers of the most opposite schools, that this mistake is actually made in so familiar an instance as that of the eyesight. There is nothing of which we appear to ourselves to be more directly conscious, than the distance of an object from us. Yet it has long been ascertained, that what is perceived by the eye, is at most nothing more than a variously coloured surface; that when we fancy we see distance, all we really see is certain variations of apparent size, and degrees of faintness of colour; and that our estimate of the object's distance from us is the result of a comparison (made with so much rapidity that we are unconscious of making it) between the size and colour of the object as they appear at the time, and the size and colour of the same or of similar objects as they appeared when close at hand, or when their degree of remoteness was known by other evidence. The perception of distance by the eye, which seems so like intuition, is thus, in reality, an inference grounded on experience; an inference, too, which we learn to make; and which we make with more and more correctness as our experience increases; though in familiar cases it takes place, so rapidly as to appear exactly on a par with those perceptions of sight which are really intuitive, our perceptions of colour.
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John Stuart Mill 179
British philosopher and political economist 1806–1873Related quotes

“The truth is balance, but the opposite of truth, which is unbalance, may not be a lie.”
Review of Selected Essays by Simone Weil, The New York Review of Books (1 February 1963)
Context: The need for truth is not constant; no more than is the need for repose. An idea which is a distortion may have a greater intellectual thrust than the truth; it may better serve the needs of the spirit, which vary. The truth is balance, but the opposite of truth, which is unbalance, may not be a lie.

"Civilization," London and Westminster Review (April 1836)

Preface.
A History of Science Vol.1 Ancient Science Through the Golden Age of Greece (1952)
Context: My main interest... is the love of truth, whether pleasant or not. Truth is self-sufficient, and there is nothing to which it can be subordinated without loss. When truth is made subservient to anything else, however great (say religion), it becomes impure and sordid.

“Literature is that which he can not read without pain, without choking on truth.”

Man's Search for Meaning (1946; 1959; 1984)
Context: A thought transfixed me: for the first time in my life I saw the truth as it is set into song by so many poets, proclaimed as the final wisdom by so many thinkers. The truth — that love is the ultimate and the highest goal to which man can aspire. Then I grasped the meaning of the greatest secret that human poetry and human thought and belief have to impart: The salvation of man is through love and in love. … For the first time in my life I was able to understand the meaning of the words, "The angels are lost in perpetual contemplation of an infinite glory."

“To say the truth, whatever improvement private study may produce, there is still a peculiar advantage attendant on our appearance in the forum, where the light is different and there is an appearance of real responsibility quite different from the fictitious cases of the schools. If we estimate the two separately, practice without learning will be of more avail than learning without practice.”
Et hercule quantumlibet secreta studia contulerint, est tamen proprius quidam fori profectus, alia lux, alia veri discriminis facies, plusque, si separes, usus sine doctrina quam citra usum doctrina valeat.
Book XII, Chapter VI, 4; translation by Rev. John Selby Watson
De Institutione Oratoria (c. 95 AD)

Under Fire (1916), Ch. 24 - The Dawn
Context: There are all those things against you. Against you and your great common interests which as you dimly saw are the same thing in effect as justice, there are not only the sword-wavers, the profiteers, and the intriguers.
There is not only the prodigious opposition of interested parties — financiers, speculators great and small, armorplated in their banks and houses, who live on war and live in peace during war, with their brows stubbornly set upon a secret doctrine and their faces shut up like safes.
There are those who admire the exchange of flashing blows, who hail like women the bright colors of uniforms; those whom military music and the martial ballads poured upon the public intoxicate as with brandy; the dizzy-brained, the feeble-minded, the superstitious, the savages.
There are those who bury themselves in the past, on whose lips are the sayings only of bygone days, the traditionalists for whom an injustice has legal force because it is perpetuated, who aspire to be guided by the dead, who strive to subordinate progress and the future and all their palpitating passion to the realm of ghosts and nursery-tales.
With them are all the parsons, who seek to excite you and to lull you to sleep with the morphine of their Paradise, so that nothing may change. There are the lawyers, the economists, the historians — and how many more? — who befog you with the rigmarole of theory, who declare the inter-antagonism of nationalities at a time when the only unity possessed by each nation of to-day is in the arbitrary map-made lines of her frontiers, while she is inhabited by an artificial amalgam of races; there are the worm-eaten genealogists, who forge for the ambitious of conquest and plunder false certificates of philosophy and imaginary titles of nobility. The infirmity of human intelligence is short sight. In too many cases, the wiseacres are dunces of a sort, who lose sight of the simplicity of things, and stifle and obscure it with formulae and trivialities. It is the small things that one learns from books, not the great ones.
And even while they are saying that they do not wish for war they are doing all they can to perpetuate it. They nourish national vanity and the love of supremacy by force. "We alone," they say, each behind his shelter, "we alone are the guardians of courage and loyalty, of ability and good taste!" Out of the greatness and richness of a country they make something like a consuming disease. Out of patriotism — which can be respected as long as it remains in the domain of sentiment and art on exactly the same footing as the sense of family and local pride, all equally sacred — out of patriotism they make a Utopian and impracticable idea, unbalancing the world, a sort of cancer which drains all the living force, spreads everywhere and crushes life, a contagious cancer which culminates either in the crash of war or in the exhaustion and suffocation of armed peace.
They pervert the most admirable of moral principles. How many are the crimes of which they have made virtues merely by dowering them with the word "national"? They distort even truth itself. For the truth which is eternally the same they substitute each their national truth. So many nations, so many truths; and thus they falsify and twist the truth.
Those are your enemies. All those people whose childish and odiously ridiculous disputes you hear snarling above you — "It wasn't me that began, it was you!" — "No, it wasn't me, it was you!" — "Hit me then!" — "No, you hit me!" — those puerilities that perpetuate the world's huge wound, for the disputants are not the people truly concerned, but quite the contrary, nor do they desire to have done with it; all those people who cannot or will not make peace on earth; all those who for one reason or another cling to the ancient state of things and find or invent excuses for it — they are your enemies!
They are your enemies as much as those German soldiers are to-day who are prostrate here between you in the mud, who are only poor dupes hatefully deceived and brutalized, domestic beasts. They are your enemies, wherever they were born, however they pronounce their names, whatever the language in which they lie. Look at them, in the heaven and on the earth. Look at them, everywhere! Identify them once for all, and be mindful for ever!