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Who said: “I have no satisfaction in formulas unless I feel their arithmetical magnitude.”
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Belong Quotes (53 quotes)
Belongs Quotes

A conflict arises when a religious community insists on the absolute truthfulness of all statements recorded in the Bible. This means an intervention on the part of religion into the sphere of science; this is where the struggle of the Church against the doctrines of Galileo and Darwin belongs. On the other hand, representatives of science have often made an attempt to arrive at fundamental judgments with respect to values and ends on the basis of scientific method, and in this way have set themselves in opposition to religion. These conflicts have all sprung from fatal errors.
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Although I am a typical loner in daily life, my consciousness of belonging to the invisible community of those who strive for truth, beaut y, and justice has preserved me from feeling isolated.
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Common to all these types is the anthropomorphic character of their conception of God. In general, only individuals of exceptional endowments, and exceptionally high-minded communities, rise to any considerable extent above this level. But there is a third stage of religious experience which belongs to all of them, even though it is rarely found in a pure form: I shall call it cosmic religious feeling. It is very difficult to elucidate this feeling to anyone who is entirely without it, especially as there is no anthropomorphic conception of God corresponding to it.
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FORTRAN —’the infantile disorder’—, by now nearly 20 years old, is hopelessly inadequate for whatever computer application you have in mind today: it is now too clumsy, too risky, and too expensive to use. PL/I —’the fatal disease’— belongs more to the problem set than to the solution set. It is practically impossible to teach good programming to students that have had a prior exposure to BASIC: as potential programmers they are mentally mutilated beyond hope of regeneration. The use of COBOL cripples the mind; its teaching should, therefore, be regarded as a criminal offence. APL is a mistake, carried through to perfection. It is the language of the future for the programming techniques of the past: it creates a new generation of coding bums.
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Fortunately science, like that nature to which it belongs, is neither limited by time nor by space. It belongs to the world, and is of no country and of no age. The more we know, the more we feel our ignorance; the more we feel how much remains unknown; and in philosophy, the sentiment of the Macedonian hero can never apply,– there are always new worlds to conquer.
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Heredity is the general expression of the periodicity of organic life. All generations belong to a continuous succession of waves, in which every single one resembles its predecessors and its followers.
In 'On the Principles of Animal Morphology', Proceedings of the Royal Society of Edinburgh (1888), 15, 295. Original as Letter to Mr John Murray, communicated to the Society by Professor Sir William Turner. Page given as in collected volume published 1889.
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I am truly a ‘lone traveler’ and have never belonged to my country, my home, my friends, or even my immediate family, with my whole heart; in the face of all these ties, I have never lost a sense of distance and a need for solitude.
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I belonged to a small minority of boys who were lacking in physical strength and athletic prowess. ... We found our refuge in science. ... We learned that science is a revenge of victims against oppressors, that science is a territory of freedom and friendship in the midst of tyranny and hatred.
[Referring to the science club he founded to escape bullying at his preparatory school.]
Essay 'To Teach or Not to Teach'. In From Eros to Gaia (1992), Vol. 5, 191. Partial quote in Oliver Sacks, Uncle Tungsten: Memories of a Chemical Boyhood (2001), 26. Different part of quote in Bill Swainson, Encarta Book of Quotations (2000), 299.
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I celebrate myself, and sing myself,
And what I assume you shall assume,
For every atom belonging to me as good belongs to you.
Opening lines from poem, 'Song of Myself', Leaves of Grass (1881), 29.
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I gang my own gait and have never belonged to my country, my home, my friends, or even my immediate family, with my whole heart; in the face of all these ties I have never lost an obstinate sense of detachment, of the need for solitude–a feeling which increases with the years.
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If we view mathematical speculations with reference to their use, it appears that they should be divided into two classes. To the first belong those which furnish some marked advantage either to common life or to some art, and the value of such is usually determined by the magnitude of this advantage. The other class embraces those speculations which, though offering no direct advantage, are nevertheless valuable in that they extend the boundaries of analysis and increase our resources and skill. Now since many investigations, from which great advantage may be expected, must be abandoned solely because of the imperfection of analysis, no small value should be assigned to those speculations which promise to enlarge the field of anaylsis.
In Novi Comm. Petr., Vol. 4, Preface.
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It is science alone that can solve the problems of hunger and poverty, of insanitation and literacy, of superstition and tradition, of vast resources running to waste, of a rich country inhabited by starving people. ... The future belongs to science and to those who make friends with science.
Address to the Indian Institute of Science, Proceedings of the National Institute of Science of India (1960), 27, 564, cited in Mary Midgley, The myths We live By (2004), 14., x. In Vinoth Ramachandra, Subverting Global Myths: Theology and the Public Issues Shaping our World (2008), 172.
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It is the duty of every man of good will to strive steadfastly in his own little world to make this teaching of pure humanity a living force, so far as he can. If he makes an honest attempt in this direction without being crushed and trampled under foot by his contemporaries, he may consider himself and the community to which he belongs lucky.
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It seems to me that the older subjects, classics and mathematics, are strongly to be recommended on the ground of the accuracy with which we can compare the relative performance of the students. In fact the definiteness of these subjects is obvious, and is commonly admitted. There is however another advantage, which I think belongs in general to these subjects, that the examinations can be brought to bear on what is really most valuable in these subjects.
In Conflict of Studies and other Essays (1873), 6-7.
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It’s not quite as exhilarating a feeling as orbiting the earth, but it’s close. In addition, it has an exotic, bizarre quality due entirely to the nature of the surface below. The earth from orbit is a delight - offering visual variety and an emotional feeling of belonging “down there.” Not so with this withered, sun-seared peach pit out of my window. There is no comfort to it; it is too stark and barren; its invitation is monotonous and meant for geologists only.
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Logicians have but ill defined
As rational the human mind;
Reason, they say, belongs to man,
But let them prove it if they can.
In 'The Logicians Refuted', The Poems and Plays of Oliver Goldsmith (1818), 58.
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Mathematic is either Pure or Mixed: To Pure Mathematic belong those sciences which handle Quantity entirely severed from matter and from axioms of natural philosophy. These are two, Geometry and Arithmetic; the one handling quantity continued, the other dissevered. … Mixed Mathematic has for its subject some axioms and parts of natural philosophy, and considers quantity in so far as it assists to explain, demonstrate and actuate these.
In De Augmentis, Bk. 3; Advancement of Learning, Bk. 2.
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Mathematics is a logical method … Mathematical propositions express no thoughts. In life it is never a mathematical proposition which we need, but we use mathematical propositions only in order to infer from propositions which do not belong to mathematics to others which equally do not belong to mathematics.
In Tractatus Logico Philosophicus (1922), 169 (statements 6.2-6.211).
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Men of science belong to two different types—the logical and the intuitive. Science owes its progress to both forms of minds. Mathematics, although a purely logical structure, nevertheless makes use of intuition. Among the mathematicians there are intuitives and logicians, analysts and geometricians. Hermite and Weierstrass were intuitives. Riemann and Bertrand, logicians. The discoveries of intuition have always to be developed by logic.
In Man the Unknown (1935), 123.
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Nature shows us only the tail of the lion. But I do not doubt that the lion belongs to it even though he cannot at once reveal himself because of his enormous size.
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Never regard study as a duty, but as the enviable opportunity to learn to know the liberating influence of beauty in the realm of the spirit for your own personal joy and to the profit of the community to which your later work belongs.
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No national sovereignty rules in outer space. Those who venture there go as envoys of the entire human race. Their quest, therefore, must be for all mankind, and what they find should belong to all mankind.
In 'The President’s News Conference at the LBJ Ranch' (29 Aug 1965). Collected in Public Papers of the Presidents of the United States: Lyndon B. Johnson: 1965 (1966), 945.
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Numbers are intellectual witnesses that belong only to mankind.
From the French original, “Le nombre est un témoin intellectuel qui n’appartient qu’à l’homme”, in Oeuvres illustrées de Balzac (1852), Vol. 3, Louis Lambert, 28. As translated in Robert Collison (ed.), Dictionary of Foreign Quotations (1980), 223.
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Once I got into space, I was feeling very comfortable in the universe. I felt like I had a right to be anywhere in this universe, that I belonged here as much as any speck of stardust, any comet, any planet
As quoted in 'Then & Now: Dr. Mae Jemison' (19 Jun 2005) on CNN web site.
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Science and art belong to the whole world, and the barriers of nationality vanish before them.
Wissenschaft und Kunst gehoren der Welt an, und vor ihhen verschwinden die Schranken der Nationalitat.
From 'In a Conversation With a German Historian' (1813), in Kate Louise Roberts (ed.), Hoyt’s New Cyclopedia of Practical Quotations (1922), 691.
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So the astronomer is on common ground with the physicist both in the subject and in the predicate of the conclusion, but the physicist demonstrates the predicate to belong to the subject by nature, whereas the astronomer does not care whether it belongs by nature or not. What, therefore, is the predicate for the physicist, is abstracted as the subject for the pure mathematician.
As quoted in Alistair Cameron Crombie, Robert Grosseteste and the Origins of Experimental Science, 1100-1700 (1971), 94.
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Society will pardon much to genius and special gifts; but, being in its nature conventional, it loves what is conventional, or what belongs to coming together.
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The actual evolution of mathematical theories proceeds by a process of induction strictly analogous to the method of induction employed in building up the physical sciences; observation, comparison, classification, trial, and generalisation are essential in both cases. Not only are special results, obtained independently of one another, frequently seen to be really included in some generalisation, but branches of the subject which have been developed quite independently of one another are sometimes found to have connections which enable them to be synthesised in one single body of doctrine. The essential nature of mathematical thought manifests itself in the discernment of fundamental identity in the mathematical aspects of what are superficially very different domains. A striking example of this species of immanent identity of mathematical form was exhibited by the discovery of that distinguished mathematician … Major MacMahon, that all possible Latin squares are capable of enumeration by the consideration of certain differential operators. Here we have a case in which an enumeration, which appears to be not amenable to direct treatment, can actually be carried out in a simple manner when the underlying identity of the operation is recognised with that involved in certain operations due to differential operators, the calculus of which belongs superficially to a wholly different region of thought from that relating to Latin squares.
In Presidential Address British Association for the Advancement of Science, Sheffield, Section A, Nature (1 Sep 1910), 84, 290.
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The advantage which science gained by Gauss’ long-lingering method of publication is this: What he put into print is as true and important today as when first published; his publications are statutes, superior to other human statutes in this, that nowhere and never has a single error been detected in them. This justifies and makes intelligible the pride with which Gauss said in the evening of his life of the first larger work of his youth: “The Disquisitiones arithmeticae belong to history.”
In Allgemeine Deutsche Biographie (1878, 8, 435. As cited and translated in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-book (1914), 158.
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The description of right lines and circles, upon which geometry is founded, belongs to mechanics. Geometry does not teach us to draw these lines, but requires them to be drawn.
From Principia Mathematica, Book 1, in Author’s Preface to the translation from the Latin by ‎Andrew Motte, as The Mathematical Principles of Natural Philosophy (1729), Vol. 1, second unpaginated page of the Preface.
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The earth does not belong to us; we belong to the earth. All things are connected, like the blood which unites one family. Mankind did not weave the web of life. We are but one strand within it. Whatever we do to the web, we do to ourselves.
Ted Perry
Fictional speech from script for ABC TV movie, Home (1972). The words by the screenwriter were inspired from an Earth Day gathering in 1970, where Perry heard a historical account by physician Dr. Henry Smith. The doctor's words were published in a Seattle newspaper, written up to 33 years after being present, when in Dec 1854 Chief Seattle made an impassioned speech, in the language of his own people, the Suquwamish. The Chief, with other tribal leaders, were meeting with the Territorial Governor who was trying to get them to sign away their lands and instead receive protection on a reservation. Dr. Smith may not have been fluent in the language of the Suquwamish, although he did make some notes at the time. But he wrote poetry, making embellishment or invention likely, so it is questionable whether his newspaper account is reliable in providing the Chief's actual words. In turn, Perry has made clear that his script provided a fictional representation the Chief. The televisedquote, however became mythical, and is incorrectly passed along as attributed to Chief Seattle in 1854, but the truth is the words are contemporary, written by Perry, a screenwriter. Also seen as: Humankind has not woven the web of life. We are but one thread within it. Whatever we do to the web, we do to ourselves. All things are bound together. All things connect.”
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The edge of the sea is a strange and beautiful place. All through the long history of Earth it has been an area of unrest where waves have broken heavily against the land, where the tides have pressed forward over the continents, receded, and then returned. For no two suc-cessive days is the shore line precisely the same. Not only do the tides advance and retreat in their eternal rhythms, but the level of the sea itself is never at rest. It rises or falls as the glaciers melt or grow, as the floor of the deep ocean basins shifts under its increasing load of sediments, or as the Earth’s crust along the continental margins warps up or down in adjustment to strain and tension. Today a little more land may belong to the sea, tomorrow a little less. Always the edge of the sea remains an elusive and indefinable boundary.
The Edge of the Sea
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The future belongs to Science. More and more she will control the destinies of the nations. Already she has them in her crucible and on her balances.
In René Vallery-Radot, The Life of Pasteur (1919), xvi.
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The future belongs to those who believe in the beauty of their dreams.
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The future does not belong to those who are content with today, apathetic toward common problems and their fellow man alike, timid and fearful in the face of bold projects and new ideas. Rather, it will belong to those who can blend passion, reason and courage in a personal commitment to the great enterprises and ideals of American society.
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The last few meters up to the summit no longer seem so hard. On reaching the top, I sit down and let my legs dangle into space. I don’t have to climb anymore. I pull my camera from my rucksack and, in my down mittens, fumble a long time with the batteries before I have it working properly. Then I film Peter. Now, after the hours of torment, which indeed I didn’t recognize as torment, now, when the monotonous motion of plodding upwards is at an end, and I have nothing more to do than breathe, a great peace floods my whole being. I breathe like someone who has run the race of his life and knows that he may now rest forever. I keep looking all around, because the first time I didn’t see anything of the panorama I had expected from Everest, neither indeed did I notice how the wind was continually chasing snow across the summit. In my state of spiritual abstraction, I no longer belong to myself and to my eyesight. I am nothing more than a single, narrow, gasping lung, floating over the mists and the summits.
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The observing mind is not a physical system, it cannot interact with any physical system. And it might be better to reserve the term ‘subject ‘ for the observing mind ... For the subject, if anything, is the thing that senses and thinks. Sensations and thoughts do not belong to the ‘world of energy.’
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The qualities of bodies, which admit neither intension nor remission of degrees, and which are found to belong to fill bodies within the reach of our experiments, are to be esteemed the universal qualities of all bodies whatsoever.
From Isaac Newton, Rules of Reasoning in Philosophy, Rule 3, as translated by Andrew Motte in The Mathematical Principles of Natural Philosophy (1803), Vol. 2, 160.
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The realization that our small planet is only one of many worlds gives mankind the perspective it needs to realize sooner that our own world belongs to all of its creatures, that the Moon landing marks the end of our childhood as a race and the beginning of a newer and better civilization.
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The succession of individuals, connected by reproduction and belonging to a species, makes it possible for the specific form itself to last for ages. In the end, however, the species is temporary; it has no “eternal life.” After existing for a certain period, it either dies or is converted by modification into other forms.
As translated by Joseph McCabe in Haeckel's The Wonders of Life: a Popular Study of Biological Philosophy (1904), 248.
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The unexpected and the incredible belong in this world. Only then is life whole.
Carl Jung
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The Universe forces those who live in it to understand it. Those creatures who find everyday experience a muddled jumble of events with no predictability, no regularity, are in grave peril. The Universe belongs to those who, at least to some degree, have figured it out.
In Broca’s Brain: Reflections on the Romance of Science (1979, 1980), 19.
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The use of sea and air is common to all; neither can a title to the ocean belong to any people or private persons, forasmuch as neither nature nor public use and custom permit any possession therof.
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The world has different owners at sunrise… Even your own garden does not belong to you. Rabbits and blackbirds have the lawns; a tortoise-shell cat who never appears in daytime patrols the brick walls, and a golden-tailed pheasant glints his way through the iris spears.
In Listen! The Wind (1938), 125.
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There is beauty in space, and it is orderly. There is no weather, and there is regularity. It is predictable…. Everything in space obeys the laws of physics. If you know these laws, and obey them, space will treat you kindly. And don't tell me that man doesn't belong out there. Man belongs wherever he wants to go—and he’ll do plenty well when he gets there.
Quoted in 'Reach For The Stars', Time (17 Feb 1958), 71, 25.
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There isn’t one, not one, instance where it’s known what pattern of neural connectivity realizes a certain cognitive content, inate or learned, in either the infant’s nervous system or the adult’s. To be sure, our brains must somehow register the contents of our mental states. The trouble is: Nobody knows how—by what neurological means—they do so. Nobody can look at the patterns of connectivity (or of anything else) in a brain and figure out whether it belongs to somebody who knows algebra, or who speaks English, or who believes that Washington was the Father of his country.
In Critical Condition: Polemic Essays on Cognitive science and the Philosophy of the Mind (1988), 269-71. In Vinoth Ramachandra, Subverting Global Myths: Theology and the Public Issues Shaping our World (2008), 180.
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Tonight, the moon came out, it was nearly full.
Way down here on earth, I could feel it’s pull.
The weight of gravity or just the lure of life,
Made me want to leave my only home tonight.
I’m just wondering how we know where we belong
Is it in the arc of the moon, leaving shadows on the lawn
In the path of fireflies and a single bird at dawn
Singing in between here and gone
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True conservation provides for wise use by the general public. The American people do not want our resources preserved for the exclusive use of the wealthy. These land and water resources belong to the people, and people of all income levels should have easy access to them.
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Water is the most precious, limited natural resource we have in this country… But because water belongs to no one—except the people—special interests, including government polluters, use it as their private sewers.
In Nader’s Foreword to David Zwick, Marcy Benstock and Ralph Nader, Water wasteland: Ralph Nader's Study Group Report on Water Pollution (1971), xiii.
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We do not belong to this material world that science constructs for us. We are not in it; we are outside. We are only spectators. The reason why we believe that we are in it, that we belong to the picture, is that our bodies are in the picture. Our bodies belong to it. Not only my own body, but those of my friends, also of my dog and cat and horse, and of all the other people and animals. And this is my only means of communicating with them.
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We pass with admiration along the great series of mathematicians, by whom the science of theoretical mechanics has been cultivated, from the time of Newton to our own. There is no group of men of science whose fame is higher or brighter. The great discoveries of Copernicus, Galileo, Newton, had fixed all eyes on those portions of human knowledge on which their successors employed their labors. The certainty belonging to this line of speculation seemed to elevate mathematicians above the students of other subjects; and the beauty of mathematical relations and the subtlety of intellect which may be shown in dealing with them, were fitted to win unbounded applause. The successors of Newton and the Bernoullis, as Euler, Clairaut, D’Alembert, Lagrange, Laplace, not to introduce living names, have been some of the most remarkable men of talent which the world has seen.
In History of the Inductive Sciences, Vol. 1, Bk. 4, chap. 6, sect. 6.
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When I'm asked about the relevance to Black people of what I do, I take that as an affront. It presupposes that Black people have never been involved in exploring the heavens, but this is not so. Ancient African empires - Mali, Songhai, Egypt - had scientists, astronomers. The fact is that space and its resources belong to all of us, not to any one group.
In Current Biography Yearbook (1993), Vol. 54, 280.
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You [the Mensheviks] are pitiful isolated individuals; you are bankrupts; your role is played out. Go where you belong from now on—into the dustbin of history!
In History of the Russian Revolution (1933), Vol. 3, Chap. 10.
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Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
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