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Today in Science History - Quickie Quiz
Who said: “As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.”
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Break Quotes (109 quotes)

…so slow is moral progress. True, we have the bicycle, the motor-car, the dirigible airship and other marvellous means of breaking our bones; but our morality is not one rung the higher for it all. One would even say that, the farther we proceed in our conquest of matter, the more our morality recedes. The most advanced of our inventions consists in bringing men down with grapeshot and explosives with the swiftness of the reaper mowing the corn.
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[Haunted by the statistic that the best predictor of SAT scores is family income:] Where you were born, into what family you are born, what their resources are, are to a large extent are going to determine the quality of education you receive, beginning in preschool and moving all the way up through college.
And what this is going to create in America is a different kind of aristocracy that's going to be self-perpetuating, unless we find ways to break that juggernaut.
... I think what that really reflects is the fact that resources, and not wealth necessarily, but just good middle-class resources, can buy quality of experience for children.
In a segment from PBS TV program, Newshour (9 Sep 2013).
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Question: On freezing water in a glass tube, the tube sometimes breaks. Why is this? An iceberg floats with 1,000,000 tons of ice above the water line. About how many tons are below the water line?
Answer: The water breaks the tube because of capallarity. The iceberg floats on the top because it is lighter, hence no tons are below the water line. Another reason is that an iceberg cannot exceed 1,000,000 tons in weight: hence if this much is above water, none is below. Ice is exceptional to all other bodies except bismuth. All other bodies have 1090 feet below the surface and 2 feet extra for every degree centigrade. If it were not for this, all fish would die, and the earth be held in an iron grip.
P.S.—When I say 1090 feet, I mean 1090 feet per second.
Genuine student answer* to an Acoustics, Light and Heat paper (1880), Science and Art Department, South Kensington, London, collected by Prof. Oliver Lodge. Quoted in Henry B. Wheatley, Literary Blunders (1893), 179-80, Question 13. (*From a collection in which Answers are not given verbatim et literatim, and some instances may combine several students' blunders.)
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~~[Attributed without source]~~ I have broken the machine (the atom) and touched the ghost of matter.
Often seen, virally spread, but always without a source citation. If you can provide a primary source, please contact Webmaster. Until then the quote should be regarded as not authenticated.
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~~[Orphan]~~ All the significant breakthroughs were break-withs old ways of thinking.
Frequently seen attributed to Kuhn, but Webmaster has, so far, been unable to verify a source. In particular, even with an online search of Kuhn’s book, The Structure of Scientific Revolutions (1962), Webmaster cannot, yet, specifically locate the quote in that book, even though it is named in a couple of sources, such as Jon, ‎Michael and ‎Deborah Fripp, Speaking of Science (2000), 117. Please contact Webmaster if you can nail down the quote in a primary source.
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A closer look at the course followed by developing theory reveals for a start that it is by no means as continuous as one might expect, but full of breaks and at least apparently not along the shortest logical path. Certain methods often afforded the most handsome results only the other day, and many might well have thought that the development of science to infinity would consist in no more than their constant application. Instead, on the contrary, they suddenly reveal themselves as exhausted and the attempt is made to find other quite disparate methods. In that event there may develop a struggle between the followers of the old methods and those of the newer ones. The former's point of view will be termed by their opponents as out-dated and outworn, while its holders in turn belittle the innovators as corrupters of true classical science.
In 'On the Development of the Methods of Theoretical Physics in Recent Times', Populäre Schriften, Essay 14. Address (22 Sep 1899) to the Meeting of Natural Scientists at Munich. Collected in Brian McGuinness (ed.), Ludwig Boltzmann: Theoretical Physics and Philosophical Problems, Selected Writings (1974), 79.
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A crumb is a great thing: If you break a crumb in half you don’t get two half-crumbs, you get two crumbs. Doesn’t that violate some law of physics?
In Napalm and Silly Putty (2001), 273.
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A mouse can fall down a mine shaft a third of a mile deep without injury. A rat falling the same distance would break his bones; a man would simply splash ... Elephants have their legs thickened to an extent that seems disproportionate to us, but this is necessary if their unwieldly bulk is to be moved at all ... A 60-ft. man would weigh 1000 times as much as a normal man, but his thigh bone would have its area increased by only 100 times ... Consequently such an unfortunate monster would break his legs the moment he tried to move.
Expressing, in picturesque terms, the strength of an organism relative to its bulk.
Address at the annual congress of the British Association for the Advancement of Science. Quoted in 'On the Itchen', Time Magazine (Mon. 14 Sep 1925).
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A new species develops if a population which has become geographically isolated from its parental species acquires during this period of isolation characters which promote or guarantee reproductive isolation when the external barriers break down.
Systematics and the Origin of Species: From the Viewpoint of a Zoologist (1942), 155.
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A wise man once said, “Convention is like the shell to the chick, a protection till he is strong enough to break it through.”
In Learned Hand and Irving Dilliard (ed.), The Spirit of Liberty: Papers and Addresses of Learned Hand (1952), 32.
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Antiqua consuetudo difficulter relinquitur: & ultra proprium videre nemo libenter ducitur.
Old habits are hard to break: and no one is easily led beyond his own point of view.
In De Imitatione Christi (1709), Book 1, Chap. 14, 23. As translated by William C. Creasy in The Imitation of Christ by Thomas à Kempis: A New Reading of the 1441 Latin Autograph Manuscript (2007), 15.
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Be discontented. Be dissatisfied. Be as restless as the billows on the boundless sea. Let your discontent break mountain-high against the wall of prejudice and swamp it to the very foundation.
John Hope
Speech to a Black debating society in Nashville, Tennessee (1896).Excerpted in Ridgely Torrence, The Story of John Hope (1948), 114.
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Break the chains of your prejudices and take up the torch of experience, and you will honour nature in the way she deserves, instead of drawing derogatory conclusions from the ignorance in which she has left you. Simply open your eyes and ignore what you cannot understand, and you will see that a labourer whose mind and knowledge extend no further than the edges of his furrow is no different essentially from the greatest genius, as would have been proved by dissecting the brains of Descartes and Newton; you will be convinced that the imbecile or the idiot are animals in human form, in the same way as the clever ape is a little man in another form; and that, since everything depends absolutely on differences in organisation, a well-constructed animal who has learnt astronomy can predict an eclipse, as he can predict recovery or death when his genius and good eyesight have benefited from some time at the school of Hippocrates and at patients' bedsides.
Machine Man (1747), in Ann Thomson (ed.), Machine Man and Other Writings (1996), 38.
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But in practical affairs, particularly in politics, men are needed who combine human experience and interest in human relations with a knowledge of science and technology. Moreover, they must be men of action and not contemplation. I have the impression that no method of education can produce people with all the qualities required. I am haunted by the idea that this break in human civilization, caused by the discovery of the scientific method, may be irreparable.
Max Born
My Life & My Views (1968), 57-8.
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But soft! what light through yonder window breaks?
It speaks, and yet says nothing.
Romeo and Juliet, Act 2, Scene 2.
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Diseased nature oftentimes breaks forth
In strange eruptions: oft the teeming earth
Is with a kind of colic pinch’d and vex’d
By the imprisoning of unruly wind
Within her womb; which, for enlargement striving,
Shakes the old beldam earth, and topples down
Steeples and moss-grown towers.
Dialogue by Hotspur to Glendower, in King Henry IV, Part I (c. 1597), Act III, Scene 1. Reprinted in The Works of Shakespeare: The First Part of King Henry IV (1790), 47.
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Every bird which flies has the thread of the infinite in its claw. Germination includes the hatching of a meteor and the tap of a swallow's bill breaking the egg, and it leads forward the birth of an earth-worm and the advent of Socrates.
Victor Hugo and Charles E. Wilbour (trans.), Les Misérables (1862), 41.
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Failure is central to engineering. Every single calculation that an engineer makes is a failure calculation. Successful engineering is all about understanding how things break or fail.
From an interview. As quoted in Cornelia Deanmay, 'An Engineer Who Revels in Success of Failure', New York Times (3 May 2006).
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For man being the minister and interpreter of nature, acts and understands so far as he has observed of the order, the works and mind of nature, and can proceed no further; for no power is able to loose or break the chain of causes, nor is nature to be conquered but by submission: whence those twin intentions, human knowledge and human power, are really coincident; and the greatest hindrance to works is the ignorance of causes.
In The Great lnstauration.
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Fractal is a word invented by Mandelbrot to bring together under one heading a large class of objects that have [played] … an historical role … in the development of pure mathematics. A great revolution of ideas separates the classical mathematics of the 19th century from the modern mathematics of the 20th. Classical mathematics had its roots in the regular geometric structures of Euclid and the continuously evolving dynamics of Newton. Modern mathematics began with Cantor’s set theory and Peano’s space-filling curve. Historically, the revolution was forced by the discovery of mathematical structures that did not fit the patterns of Euclid and Newton. These new structures were regarded … as “pathological,” .… as a “gallery of monsters,” akin to the cubist paintings and atonal music that were upsetting established standards of taste in the arts at about the same time. The mathematicians who created the monsters regarded them as important in showing that the world of pure mathematics contains a richness of possibilities going far beyond the simple structures that they saw in Nature. Twentieth-century mathematics flowered in the belief that it had transcended completely the limitations imposed by its natural origins.
Now, as Mandelbrot points out, … Nature has played a joke on the mathematicians. The 19th-century mathematicians may not have been lacking in imagination, but Nature was not. The same pathological structures that the mathematicians invented to break loose from 19th-century naturalism turn out to be inherent in familiar objects all around us.
From 'Characterizing Irregularity', Science (12 May 1978), 200, No. 4342, 677-678. Quoted in Benoit Mandelbrot, The Fractal Geometry of Nature (1977, 1983), 3-4.
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God is a philosophical black hole—the point where reason breaks down.
In Quotations: Superultramodern Science and Philosophy (2005), 5.
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Guido was as much enchanted by the rudiments of algebra as he would have been if I had given him an engine worked by steam, with a methylated spirit lamp to heat the boiler; more enchanted, perhaps for the engine would have got broken, and, remaining always itself, would in any case have lost its charm, while the rudiments of algebra continued to grow and blossom in his mind with an unfailing luxuriance. Every day he made the discovery of something which seemed to him exquisitely beautiful; the new toy was inexhaustible in its potentialities.
In Young Archimedes: And Other Stories (1924), 299. The fictional character, Guido, is a seven year old boy. Methylated spirit is an alcohol fuel.
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He plucks the pearls that stud the deep Admiring Beauty’s lap to fill;
He breaks the stubborn Marble’s sleep,
Rocks disappear before his skill:
With thoughts that swell his glowing soul
He bids the ore illume the page,
And, proudly scorning Time’s control,
Commences with an unborn age.
Written for the Mechanics Celebration (1824). In 'Art—An Ode', as quoted and cited in Alpheus Cary, An Address Delivered Before the Massachusetts Charitable Mechanic Association (October 7th, 1824) (1824), 49.
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He plucks the pearls that stud the deep Admiring Beauty’s lap to fill;
He breaks the stubborn Marble’s sleep,
Rocks disappear before his skill:
With thoughts that swell his glowing soul
He bids the ore illume the page,
And, proudly scorning Time’s control,
Commences with an unborn age.
Written for the Mechanics Celebration (1824). In 'Art—An Ode', as quoted and cited in Alpheus Cary, An Address Delivered Before the Massachusetts Charitable Mechanic Association (October 7th, 1824) (1824), 49.
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He that breaks a thing to find out what it is has left the path of wisdom.
The Fellowship of the Ring (1954)
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He that in ye mine of knowledge deepest diggeth, hath, like every other miner, ye least breathing time, and must sometimes at least come to terr. alt. for air.
[Explaining how he writes a letter as break from his study.]
Letter to Dr. Law (15 Dec 1716) as quoted in Norman Lockyer, (ed.), Nature (25 May 1881), 24, 39. The source refers to it as an unpublished letter.
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Hold fast to dreams for if dreams die, life is a broken winged bird that cannot fly.
…...
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Hubble's observations suggested that there was a time, called the big bang, when the universe was infinitesimally small and infinitely dense. Under such conditions all the laws of science, and therefore all ability to predict the future, would break down. If there were events earlier than this time, then they could not affect what happens at the present time. Their existence can be ignored because it would have no observational consequences. One may say that time had a beginning at the big bang, in the sense that earlier times simply would not be defined. It should be emphasized that this beginning in time is very different from those that had been considered previously. In an unchanging universe a beginning in time is something that has to be imposed by some being outside the universe; there is no physical necessity for a beginning. One can imagine that God created the universe at literally any time in the past. On the other hand, if the universe is expanding, there may be physical reasons why there had to be a beginning. One could still imagine that God created the universe at the instant of the big bang, or even afterwards in just such a way as to make it look as though there had been a big bang, but it would be meaningless to suppose that it was created before the big bang. An expanding universe does not preclude a creator, but it does place limits on when he might have carried out his job!
A Brief History of Time: From the Big Bang to Black Holes (1988), 8-9.
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I can never look now at the Milky Way without wondering from which of those banked clouds of stars the emissaries are coming. If you will pardon so commonplace a simile, we have broken the glass of the fire-alarm and have nothing to do but to wait. I do not think we will have to wait for long.
Concluding sentences of short story, 'The Sentinel', collected in Avon 10 Story Fantasy (Spring 1951), 1, No. 1, 47.
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I have often been amused by our vulgar tendency to take complex issues, with solutions at neither extreme of a continuum of possibilities, and break them into dichotomies, assigning one group to one pole and the other to an opposite end, with no acknowledgment of subtleties and intermediate positions–and nearly always with moral opprobrium attached to opponents.
…...
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I searched along the changing edge
Where, sky-pierced now the cloud had broken.
I saw no bird, no blade of wing,
No song was spoken.
I stood, my eyes turned upward still
And drank the air and breathed the light.
Then, like a hawk upon the wind,
I climbed the sky, I made the flight.
…...
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I think at the moment we did not even want to break the seal [on the inner chamber of the tomb of Tutankhamen], for a feeling of intrusion had descended heavily upon us... We felt that we were in the presence of the dead King and must do him reverence, and in imagination could see the doors of the successive shrines open one.
Howard Carter, Arthur Cruttenden Mace, The Discovery of the Tomb of Tutankhamen (reprint 1977), 183.
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I’m convinced that the best solutions are often the ones that are counterintuitive—that challenge conventional thinking—and end in breakthroughs. It is always easier to do things the same old way … why change? To fight this, keep your dissatisfaction index high and break with tradition. Don’t be too quick to accept the way things are being done. Question whether there’s a better way. Very often you will find that once you make this break from the usual way - and incidentally, this is probably the hardest thing to do—and start on a new track your horizon of new thoughts immediately broadens. New ideas flow in like water. Always keep your interests broad - don’t let your mind be stunted by a limited view.
1988
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I’m not saying we wouldn’t get our hair mussed, Mr. President, but I do say not more than ten to twenty million dead depending upon the breaks.
In Robert Andrews Famous Lines: a Columbia Dictionary of Familiar Quotations (1997), 340.
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If it could be demonstrated that any complex organ existed which could not possibly have been formed by numerous, successive slight modifications, my theory would absolutely break down.
From On the Origin of Species by Means of Natural Selection; or, The Preservation of Favoured Races in the Struggle for Life (1861), 171.
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If thou examinest a man having a break in the column of his nose, his nose being disfigured, and a [depression] being in it, while the swelling that is on it protrudes, [and] he had discharged blood from both his nostrils, thou shouldst say concerning him: “One having a break in the column of his nose. An ailment which I will treat. “Thou shouldst cleanse [it] for him [with] two plugs of linen. Thou shouldst place two [other] plugs of linen saturated with grease in the inside of his two nostrils. Thou shouldst put [him] at his mooring stakes until the swelling is drawn out. Thou shouldst apply for him stiff rolls of linen by which his nose is held fast. Thou shouldst treat him afterward [with] lint, every day until he recovers.
Anonymous
(circa 1700 B.C.) From “The Edwin Smith Surgical Papyrus”, an ancient Egyptian document regarded as the earliest known historical record of scientific thought. As translated in James Henry Breasted, The Edwin Smith Surgical Papyrus: Published in Facsimile and Hieroglyphic Transliteration with Translation and Commentary (1930), 440.
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Imagine the chaos that would arise if time machines were as common as automobiles, with tens of millions of them commercially available. Havoc would soon break loose, tearing at the fabric of our universe. Millions of people would go back in time to meddle with their own past and the past of others, rewriting history in the process. … It would thus be impossible to take a simple census to see how many people there were at any given time.
In Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and The Tenth Dimension (1994, 1995), 234.
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In departing from any settled opinion or belief, the variation, the change, the break with custom may come gradually; and the way is usually prepared; but the final break is made, as a rule, by some one individual, … who sees with his own eyes, and with an instinct or genius for truth, escapes from the routine in which his fellows live. But he often pays dearly for his boldness.
In The Harveian Oration, delivered before the Royal College of Physicians of London (18 Oct 1906). Printed in 'The Growth of Truth, as Illustrated in the Discovery of the Circulation of Blood', The Lancet (27 Oct 1906), Vol. 2, Pt. 2, 1114.
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In general I would be cautious against … plays of fancy and would not make way for their reception into scientific astronomy, which must have quite a different character. Laplace’s cosmogenic hypotheses belong in that class. Indeed, I do not deny that I sometimes amuse myself in a similar manner, only I would never publish the stuff. My thoughts about the inhabitants of celestial bodies, for example, belong in that category. For my part, I am (contrary to the usual opinion) convinced … that the larger the cosmic body, the smaller are the inhabitants and other products. For example, on the sun trees, which in the same ratio would be larger than ours, as the sun exceeds the earth in magnitude, would not be able to exist, for on account of the much greater weight on the surface of the sun, all branches would break themselves off, in so far as the materials are not of a sort entirely heterogeneous with those on earth.
Letter to Heinrich Schumacher (7 Nov 1847). Quoted in G. Waldo Dunnington, Carl Friedrich Gauss: Titan of Science (2004), 411.
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In shades of black and blue the skies do bow as darkness falls the lights go out.
Nature softly immersed in glee as all mankind drifts off to sleep.
Water breathes a sigh of relief now aquatic creatures can do as they please.
Animals whether large or small regain the natural instincts that man has fought.
The moon shines bright he’s happy too people can’t over-ride his rules.
Midnight calms the wounds of the world the break of dawn disperses new hope...
…...
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Inanimate objects are classified scientifically into three categories—those that don't work, those that break down, and those that get lost. The goal of all inanimate objects is to resist man and ultimately to defeat him, and the three major classifications are based on the method each object uses to achieve its purpose
'Observer: The Plot Against People', New York Times (18 Jun 1968), 46.
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Incandescent carbon particles, by the tens of millions, leap free of the log and wave like banners, as flame. Several hundred significantly different chemical reactions are now going on. For example, a carbon atom and four hydrogen atoms, coming out of the breaking cellulose, may lock together and form methane, natural gas. The methane, burning (combining with oxygen), turns into carbon dioxide and water, which also go up the flue. If two carbon atoms happen to come out of the wood with six hydrogen atoms, they are, agglomerately, ethane, which bums to become, also, carbon dioxide and water. Three carbons and eight hydrogens form propane, and propane is there, too, in the fire. Four carbons and ten hydrogens—butane. Five carbons … pentane. Six … hexane. Seven … heptane. Eight carbons and eighteen hydrogens—octane. All these compounds come away in the breaking of the cellulose molecule, and burn, and go up the chimney as carbon dioxide and water. Pentane, hexane, heptane, and octane have a collective name. Logs burning in a fireplace are making and burning gasoline.
In 'Firewood', Pieces of the Frame (1975), 205-206.
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Is fuel efficiency really what we need most desperately? I say that what we really need is a car that can be shot when it breaks down.
In There's a Country in my Cellar (1990), 161.
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It is well known that theoretical physicists cannot handle experimental equipment; it breaks whenever they touch it. Pauli was such a good theoretical physicist that something usually broke in the lab whenever he merely stepped across the threshold. A mysterious event that did not seem at first to be connected with Pauli's presence once occurred in Professor J. Franck's laboratory in Göttingen. Early one afternoon, without apparent cause, a complicated apparatus for the study of atomic phenomena collapsed. Franck wrote humorously about this to Pauli at his Zürich address and, after some delay, received an answer in an envelope with a Danish stamp. Pauli wrote that he had gone to visit Bohr and at the time of the mishap in Franck's laboratory his train was stopped for a few minutes at the Göttingen railroad station. You may believe this anecdote or not, but there are many other observations concerning the reality of the Pauli Effect!
From Thirty Years That Shook Physics: The Story of Quantum Theory (1966), 64. Note the so-called Pauli Effect is merely anecdotal to provide humor about supposed parapsychology phenomena in coincidences involving Pauli; it should not be confused with scientifically significant Pauli Exclusion Principle.
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It isn’t important in which sea or lake you observe a slick of pollution, or in the forests of which country a fire breaks out, or on which continent a hurricane arises. You are standing guard over the whole of our Earth.
In Jack Hassard and Julie Weisberg, Environmental Science on the Net: The Global Thinking Project (1999), 23.
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It seems probable to me that God, in the beginning, formed matter in solid, massy, hard, impenetrable, moveable particles, of such sizes and figures, and with such other properties, and in such proportions to space, as most conduced to the end for which He formed them; and that these primitive particles, being solids, are incomparably harder than any porous bodies compounded of them, even so very hard as never to wear or break in pieces; no ordinary power being able to divide what God had made one in the first creation.
From Opticks (1704, 2nd ed., 1718), 375-376.
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It will be possible in a few more years to build radio controlled rockets which can be steered into such orbits beyond the limits of the atmosphere and left to broadcast scientific information back to the Earth. A little later, manned rockets will be able to make similar flights with sufficient excess power to break the orbit and return to Earth. (1945) [Predicting communications satellites.]
In 'Can Rocket Stations Give Worldwide Coverage?', Wireless World (Oct 1945). Quoted and cited in Arthur C. Clarke, Greetings, Carbon-Based Bipeds!: Collected Essays, 1934-1998, 21.
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Jacques Hadamard, the French mathematician, has written a little book … and describes how intuition wells up from completely unfathomable depths, first appears in a peculiar guise, and then suddenly breaks out with lightning clarity.
In 'Homo Scientificus According to Beckett', collected in William Beranek, Jr. (ed.),Science, Scientists, and Society, (1972), 135-. Excerpted in Ann E. Kammer, Science, Sex, and Society (1979), 285. (Hadamard’s book is An Essay on the Psychology of Invention in the Mathematical Field.)
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Laws are like Cobwebs, which may catch small Flies, but let Wasps and Hornets break through.
In 'A Tritical Essay Upon the Faculties of the Mind' (6 Aug 1707), collected in various volumes and editions, for example, The Works of J.S, D.D, D.S.P.D.: Volume 1: Miscellanies in Prose (1739), 173. An earlier, undated, fourth volume of Miscellanies gives the 6 Aug 1707 date the essay was written. The final Latin phrase can be translated as, “Can you help laughing, friends?” attributed to Horace.
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Laws of Thermodynamics
1) You cannot win, you can only break even.
2) You can only break even at absolute zero.
3) You cannot reach absolute zero.
Anonymous
Folklore amongst physicists.
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Leakey’s work on the Olduvai Canyon man has depended a great deal on the observance of a notched break in the shinbones of good-sized animals, which is assumed to have been made by striking a bone with a sharp rock before breaking it over the knee to expose the bone marrow which is edible and nourishing. When he found broken bones with the tell-tale notch, he knew that man must have been there and so began his search.
In 'Man’s Place in the Physical Universe', Bulletin of the Atomic Scientists (Sep 1965), 21, No. 7, 15.
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Madness need not be all breakdown. It may also be break-through. It is potential liberation and renewal as well as enslavement and existential death.
Politics of Experience (1967), 110.
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Mathematics is no more the art of reckoning and computation than architecture is the art of making bricks or hewing wood, no more than painting is the art of mixing colors on a palette, no more than the science of geology is the art of breaking rocks, or the science of anatomy the art of butchering.
In Lectures on Science, Philosophy and Art (1908), 29.
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Melvin [Calvin]’s marvellous technique for delivering a scientific lecture was unique. His mind must have roamed constantly, especially in planning lectures. His remarkable memory enabled him to formulate a lecture or manuscript with no breaks in the sequence of his thoughts. His lectures usually began hesitatingly, as if he had little idea of how to begin or what to say. This completely disarmed his audiences, who would try to guess what he might have to say. Soon enough, however, his ideas would coalesce, to be delivered like an approaching freight train, reaching a crescendo of information at breakneck speed and leaving his rapt audience nearly overwhelmed.
Co-author with Andrew A. Benson, 'Melvin Calvin', Biographical Memoirs of the US National Academy of Science.
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Men always fool themselves when they give up experience for systems born of the imagination. Man is the work of nature, he exists in nature, he is subject to its laws, he can not break free, he can not leave even in thought; it is in vain that his spirit wants to soar beyond the bounds of the visible world, he is always forced to return.
Opening statement of first chapter of Système de la Nature (1770), Vol. 1, 1. Translation by Webmaster using Google Translate. From the original French, “Les hommes se tromperont toujours, quand ils abandonneront l'expérience pour des systèmes enfantés par l’imagination. L’homme est l’ouvrage de la nature, il existe dans la nature, il est soumis à ses lois, il ne peut s’en affranchir, il ne peut même par la pensée en sortir; c’est en vain que son esprit veut s’élancer au delà des bornes du monde visible, il est toujours forcé d’y rentrer.” In the English edition (1820-21), Samuel Wilkinson gives this as “Man has always deceived himself when he abandoned experience to follow imaginary systems.—He is the work of nature.—He exists in Nature.—He is submitted to the laws of Nature.—He cannot deliver himself from them:—cannot step beyond them even in thought. It is in vain his mind would spring forward beyond the visible world: direful and imperious necessity ever compels his return.”
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Mother: He’s been depressed. All of a sudden, he can’t do anything.
Doctor: Why are you depressed, Alvy?
Mother: Tell Dr. Flicker. It’s something he read.
Doctor: Something he read, huh?
Alvy: The universe is expanding.
Doctor: The universe is expanding?
Alvy: Well, the universe is everything, and if it’s expanding, someday it will break apart and that would be the end of everything!
Mother: What is that your business? He stopped doing his homework.
Alvy: What’s the point?
With co-author Marshall Brickman, Annie Hall (1973).
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Nature never breaks her own laws.
(E 43 r.) In Edward McCurdy (ed., trans.), Leonardo da Vinci’s Note-Books: Arranged and Rendered into English (1908), 55.
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No place affords a more striking conviction of the vanity of human hopes than a publick library; for who can see the wall crouded on every side by mighty volumes, the works of laborious meditation, and accurate inquiry, now scarcely known but by the catalogue, and preserved only to encrease the pomp of learning, without considering how many hours have been wasted in vain endeavours, how often imagination has anticipated the praises of futurity, how many statues have risen to the eye of vanity, how many ideal converts have elevated zeal, how often wit has exulted in the eternal infamy of his antagonists, and dogmatism has delighted in the gradual advances of his authority, the immutability of his decrees, and the perpetuity of his power.
Non unquam dedit
Documenta fors majora, quam fragili loco
Starent superbi.

Seneca, Troades, II, 4-6
Insulting chance ne'er call'd with louder voice,
On swelling mortals to be proud no more.
Of the innumerable authors whose performances are thus treasured up in magnificent obscurity, most are forgotten, because they never deserved to be remembered, and owed the honours which they have once obtained, not to judgment or to genius, to labour or to art, but to the prejudice of faction, the stratagem of intrigue, or the servility of adulation.
Nothing is more common than to find men whose works are now totally neglected, mentioned with praises by their contemporaries, as the oracles of their age, and the legislators of science. Curiosity is naturally excited, their volumes after long enquiry are found, but seldom reward the labour of the search. Every period of time has produced these bubbles of artificial fame, which are kept up a while by the breath of fashion and then break at once and are annihilated. The learned often bewail the loss of ancient writers whose characters have survived their works; but perhaps if we could now retrieve them we should find them only the Granvilles, Montagus, Stepneys, and Sheffields of their time, and wonder by what infatuation or caprice they could be raised to notice.
It cannot, however, be denied, that many have sunk into oblivion, whom it were unjust to number with this despicable class. Various kinds of literary fame seem destined to various measures of duration. Some spread into exuberance with a very speedy growth, but soon wither and decay; some rise more slowly, but last long. Parnassus has its flowers of transient fragrance as well as its oaks of towering height, and its laurels of eternal verdure.
The Rambler, Number 106, 23 Mar 1751. In W. J. Bate and Albrecht B. Strauss (eds.), The Rambler (1969), Vol. 2, 200-1.
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On Breaking Habits. To begin knocking off the habit in the evening, then the afternoon as well and, finally, the morning too is better than to begin cutting it off in the morning and then go on to the afternoon and evening. I speak from experience as regards smoking and can say that when one comes to within an hour or two of smoke-time one begins to be impatient for it, whereas there will be no impatience after the time for knocking off has been confirmed as a habit.
Samuel Butler, Henry Festing Jones (ed.), The Note-Books of Samuel Butler (1917), 220.
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Once you have travelled, the voyage never ends, but is played out over and over again in the quietest chambers. The mind can never break off from the journey.
…...
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One of the earliest questions asked by an intelligent child is: “What is this made of?” “What is that made of?” And the answer is generally more or less satisfactory. For example, if the question relates to butter, the reply may be, “From cream.” It may be explained, besides, that when cream is beaten up, or churned, the butter separates, leaving skim-milk behind. But the question has not been answered. The child may ask, “Was the butter in the milk before it was churned? or has it been made out of the milk by the churning?” Possibly the person to whom the question is addressed may know that the milk contained the butter in the state of fine globules, and that the process of churning breaks up the globules, and causes them to stick together. The original question has not really been answered; and indeed it is not an easy one to reply to. Precisely such questions suggested themselves to the people of old, and they led to many speculations.
Opening paragraph of Modern Chemistry (1900, rev. 1907), 1.
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Organization is simply the means by which the acts of ordinary men can be made to add up to extraordinary results. To this idea of progress that does not wait on some lucky break, some chance discovery, or some rare stroke of genius, but instead is achieved through systematic, cumulative effort, the engineer has contributed brilliantly.
In A Professional Guide for Young Engineers (1949, 1967), 36.
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Our ideas are only intellectual instruments which we use to break into phenomena; we must change them when they have served their purpose, as we change a blunt lancet that we have used long enough.
In An Introduction to the Study of Experimental Medicine (1865).
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Our most trustworthy safeguard in making general statements on this question is imagination. If we can imagine the breaking of a law of physics then… it is in some degree an empirical law. With a purely rational law we could not conceive an alternative… This ultimate criterion serves as an anchor to keep us from drifting unduly in a perilous sea of thought.
From concluding paragraph of 'Transition to General Relativity', The Special Theory of Relativity (1940, 2014), Chap 8, 91.
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Paleontology is a very visual inquiry. All paleontologists scribble on napkins at coffee breaks, making sketches to explain their thinking
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Precedents are treated by powerful minds as fetters with which to bind down the weak, as reasons with which to mistify the moderately informed, and as reeds which they themselves fearlessly break through whenever new combinations and difficult emergencies demand their highest efforts.
A Word to the Wise (1833), 3-6. Quoted in Anthony Hyman (ed.), Science and Reform: Selected Works of Charles Babbage (1989), 202.
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Rudolf Virchow, often referred to as the father of modern pathology, broke sharply with such traditional concepts by proposing that the basis of all disease is injury to the smallest living unit of the body, namely, the cell. More than a century later, both clinical and experimental pathology remain rooted in Virchow’s cellular pathology.
In Emanuel Rubin and John L. Farber (eds.), Pathology (1944), 2.
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Sailors have an expression about the weather: they say the weather is a great bluffer. I guess the same is true of our human society — things can look dark, then a break shows in the clouds, and all is changed.
Letter to M. Nadeau (30 Mar 1973).
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Science has thus, most unexpectedly, placed in our hands a new power of great but unknown energy. It does not wake the winds from their caverns; nor give wings to water by the urgency of heat; nor drive to exhaustion the muscular power of animals; nor operate by complicated mechanism; nor summon any other form of gravitating force, but, by the simplest means—the mere contact of metallic surfaces of small extent, with feeble chemical agents, a power everywhere diffused through nature, but generally concealed from our senses, is mysteriously evolved, and by circulation in insulated wires, it is still more mysteriously augmented, a thousand and a thousand fold, until it breaks forth with incredible energy.
Comment upon 'The Notice of the Electro-Magnetic Machine of Mr. Thomas Davenport, of Brandon, near Rutland, Vermont, U.S.', The Annals of Electricity, Magnetism, & Chemistry; and Guardian of Experimental Science (1838), 2, 263.
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Scientists have been struck by the fact that things that break down virtually never get lost, while things that get lost hardly ever break down.
'Why on Earth Are We There? Because It's Impossible', New York Times (21 Jul 1969), 46.
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See, thro' this air, this ocean, and this earth,
All matter quick, and bursting into birth.
Above, how high progressive life may go!
Around, how wide! how deep extend below!
Vast chain of being, which from God began,
Natures ethereal, human, angel, man,
Beast, bird, fish, insect! what no eye can see,
No glass can reach! from Infinite to thee,
From thee to Nothing—On superior pow'rs
Were we to press, inferior might on ours:
Or in the full creation leave a void,
Where, one step broken, the great scale's destroy'd:
From Nature's chain whatever link you strike,
Tenth or ten thousandth, breaks the chain alike.
'An Essay on Man' (1733-4), Epistle I. In John Butt (ed.), The Poems of Alexander Pope (1965), 513.
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Since you are now studying geometry and trigonometry, I will give you a problem. A ship sails the ocean. It left Boston with a cargo of wool. It grosses 200 tons. It is bound for Le Havre. The mainmast is broken, the cabin boy is on deck, there are 12 passengers aboard, the wind is blowing East-North-East, the clock points to a quarter past three in the afternoon. It is the month of May. How old is the captain?
Letter (14 Aug 1853) to Louise Colet. As quote and cited in Robert A. Nowlan, Masters of Mathematics: The Problems They Solved, Why These Are Important, and What You Should Know about Them (2017), 271.
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Suppose [an] imaginary physicist, the student of Niels Bohr, is shown an experiment in which a virus particle enters a bacterial cell and 20 minutes later the bacterial cell is lysed and 100 virus particles are liberated. He will say: “How come, one particle has become 100 particles of the same kind in 20 minutes? That is very interesting. Let us find out how it happens! How does the particle get in to the bacterium? How does it multiply? Does it multiply like a bacterium, growing and dividing, or does it multiply by an entirely different mechanism ? Does it have to be inside the bacterium to do this multiplying, or can we squash the bacterium and have the multiplication go on as before? Is this multiplying a trick of organic chemistry which the organic chemists have not yet discovered ? Let us find out. This is so simple a phenomenon that the answers cannot be hard to find. In a few months we will know. All we have to do is to study how conditions will influence the multiplication. We will do a few experiments at different temperatures, in different media, with different viruses, and we will know. Perhaps we may have to break into the bacteria at intermediate stages between infection and lysis. Anyhow, the experiments only take a few hours each, so the whole problem can not take long to solve.”
[Eight years later] he has not got anywhere in solving the problem he set out to solve. But [he may say to you] “Well, I made a slight mistake. I could not do it in a few months. Perhaps it will take a few decades, and perhaps it will take the help of a few dozen other people. But listen to what I have found, perhaps you will be interested to join me.”
From 'Experiments with Bacterial Viruses (Bacteriophages)', Harvey Lecture (1946), 41, 161-162. As cited in Robert Olby, The Path of the Double Helix: The Discovery of DNA (1974, 1994), 237.
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The vortices of Descartes, gave way to the gravitation of Newton... One generation blows bubbles, and the next breaks them.
From Letter (29 Sep 1783) to Rev. William Unwin, collected in William Cowper and William Hayley (ed.), The Life, and Posthumous Writings, of William Cowper (1803), Vol. 3, 196.
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The absolute extent of land in the Archipelago is not greater than that contained by Western Europe from Hungary to Spain; but, owing to the manner in which the land is broken up and divided, the variety of its productions is rather in proportion to the immense surface over which the islands are spread, than to the quantity of land which they contain.
Malay Archipelago
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The breaking up of the terrestrial globe, this it is we witness. It doubtless began a long time ago, and the brevity of human life enables us to contemplate it without dismay. It is not only in the great mountain ranges that the traces of this process are found. Great segments of the earth's crust have sunk hundreds, in some cases, even thousands, of feet deep, and not the slightest inequality of the surface remains to indicate the fracture; the different nature of the rocks and the discoveries made in mining alone reveal its presence. Time has levelled all.
The Face of the Earth (1904), Vol. 1, 604.
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The difference between an ordinary mind and the mind of Newton consists principally in this, that the one is capable of a more continuous attention than the other,—that a Newton is able, without fatigue, to connect inference with inference in one long series towards a determinate end; while the man of inferior capacity is soon obliged to break or let full the thread which lie had begun to spin.
In Lectures on Metaphysics and Logic (1860), Vol. 1, 178.
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The difficulties connected with my criterion of demarcation (D) are important, but must not be exaggerated. It is vague, since it is a methodological rule, and since the demarcation between science and nonscience is vague. But it is more than sharp enough to make a distinction between many physical theories on the one hand, and metaphysical theories, such as psychoanalysis, or Marxism (in its present form), on the other. This is, of course, one of my main theses; and nobody who has not understood it can be said to have understood my theory.
The situation with Marxism is, incidentally, very different from that with psychoanalysis. Marxism was once a scientific theory: it predicted that capitalism would lead to increasing misery and, through a more or less mild revolution, to socialism; it predicted that this would happen first in the technically highest developed countries; and it predicted that the technical evolution of the 'means of production' would lead to social, political, and ideological developments, rather than the other way round.
But the (so-called) socialist revolution came first in one of the technically backward countries. And instead of the means of production producing a new ideology, it was Lenin's and Stalin's ideology that Russia must push forward with its industrialization ('Socialism is dictatorship of the proletariat plus electrification') which promoted the new development of the means of production.
Thus one might say that Marxism was once a science, but one which was refuted by some of the facts which happened to clash with its predictions (I have here mentioned just a few of these facts).
However, Marxism is no longer a science; for it broke the methodological rule that we must accept falsification, and it immunized itself against the most blatant refutations of its predictions. Ever since then, it can be described only as nonscience—as a metaphysical dream, if you like, married to a cruel reality.
Psychoanalysis is a very different case. It is an interesting psychological metaphysics (and no doubt there is some truth in it, as there is so often in metaphysical ideas), but it never was a science. There may be lots of people who are Freudian or Adlerian cases: Freud himself was clearly a Freudian case, and Adler an Adlerian case. But what prevents their theories from being scientific in the sense here described is, very simply, that they do not exclude any physically possible human behaviour. Whatever anybody may do is, in principle, explicable in Freudian or Adlerian terms. (Adler's break with Freud was more Adlerian than Freudian, but Freud never looked on it as a refutation of his theory.)
The point is very clear. Neither Freud nor Adler excludes any particular person's acting in any particular way, whatever the outward circumstances. Whether a man sacrificed his life to rescue a drowning, child (a case of sublimation) or whether he murdered the child by drowning him (a case of repression) could not possibly be predicted or excluded by Freud's theory; the theory was compatible with everything that could happen—even without any special immunization treatment.
Thus while Marxism became non-scientific by its adoption of an immunizing strategy, psychoanalysis was immune to start with, and remained so. In contrast, most physical theories are pretty free of immunizing tactics and highly falsifiable to start with. As a rule, they exclude an infinity of conceivable possibilities.
'The Problem of Demarcation' (1974). Collected in David Miller (ed.) Popper Selections (1985), 127-128.
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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 successive 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.
Opening paragraph in The Edge of the Sea (1955), 1.
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The final results [of work on the theory of relativity] appear almost simple; any intelligent undergraduate can understand them without much trouble. But the years of searching in the dark for a truth that one feels, but cannot express; the intense effort and the alternations of confidence and misgiving, until one breaks through to clarity and understanding, are only known to him who has himself experienced them.
Concluding remark of George Gibson lecture at the University of Glasgow, 'The Origins of the General Theory of Relativity', (20 Jun 1933). Published by Glasgow University as The Origins of the General Theory of Relativity: Being the First Lecture on the George A. Gibson Foundation in the University of Glasgow, Delivered on June 20th, 1933 (1933), 11. Also quoted in 'No Hitching Posts' The Atlantic (1936), 157, 251.
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The formation of planets is like a gigantic snowball fight. The balls bounce off, break apart, or stick together, but in the end they are rolled up into one enormous ball, a planet-ball that has gathered up all the snowflakes in the surrounding area.
From Stone to Star: A View of Modern Geology, trans. Deborah Kurmes van Dam (1992), 110.
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The partitions of knowledge are not like several lines that meet in one angle, and so touch not in a point; but are like branches of a tree, that meet in a stem, which hath a dimension and quantity of entireness and continuance, before it come to discontinue and break itself into arms and boughs.
Francis Bacon, Basil Montagu (Ed.), The Works of Francis Bacon (1852), Vol. 1, 193.
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The physician would be even worse off than he is, if not for the occasional emergence of common sense which breaks through dogmas with intuitive freshness.
In Robots Or Gods: An Essay on Craft and Mind (1931), 62.
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The power of the eye could not be extended further in the opened living animal, hence I had believed that this body of the blood breaks into the empty space, and is collected again by a gaping vessel and by the structure of the walls. The tortuous and diffused motion of the blood in divers directions, and its union at a determinate place offered a handle to this. But the dried lung of the frog made my belief dubious. This lung had, by chance, preserved the redness of the blood in (what afterwards proved to be) the smallest vessels, where by means of a more perfect lens, no more there met the eye the points forming the skin called Sagrino, but vessels mingled annularly. And, so great is the divarication of these vessels as they go out, here from a vein, there from an artery, that order is no longer preserved, but a network appears made up of the prolongations of both vessels. This network occupies not only the whole floor, but extends also to the walls, and is attached to the outgoing vessel, as I could see with greater difficulty but more abundantly in the oblong lung of a tortoise, which is similarly membranous and transparent. Here it was clear to sense that the blood flows away through the tortuous vessels, that it is not poured into spaces but always works through tubules, and is dispersed by the multiplex winding of the vessels.
De Pulmonibus (1661), trans. James Young, Proceedings of the Royal Society of Medicine (1929-30), 23, 8.
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The problems of the infinite have challenged man’s mind and have fired his imagination as no other single problem in the history of thought. The infinite appears both strange and familiar, at times beyond our grasp, at times easy and natural to understand. In conquering it, man broke the fetters that bound him to earth. All his faculties were required for this conquest—his reasoning powers, his poetic fancy, his desire to know.
With co-author James R Newman, in 'Beyond the Google', Mathematics and the Imagination (1940), 35.
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The responsibility for maintaining the composition of the blood in respect to other constituents devolves largely upon the kidneys. It is no exaggeration to say that the composition of the blood is determined not by what the mouth ingests but by what the kidneys keep; they are the master chemists of our internal environment, which, so to speak, they synthesize in reverse. When, among other duties, they excrete the ashes of our body fires, or remove from the blood the infinite variety of foreign substances which are constantly being absorbed from our indiscriminate gastrointestinal tracts, these excretory operations are incidental to the major task of keeping our internal environment in an ideal, balanced state. Our glands, our muscles, our bones, our tendons, even our brains, are called upon to do only one kind of physiological work, while our kidneys are called upon to perform an innumerable variety of operations. Bones can break, muscles can atrophy, glands can loaf, even the brain can go to sleep, without immediately endangering our survival, but when the kidneys fail to manufacture the proper kind of blood neither bone, muscle, gland nor brain can carry on.
'The Evolution of the Kidney', Lectures on the Kidney (1943), 3.
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The routine produces. But each day, nevertheless, when you try to get started you have to transmogrify, transpose yourself; you have to go through some kind of change from being a normal human being, into becoming some kind of slave.
I simply don’t want to break through that membrane. I’d do anything to avoid it. You have to get there and you don’t want to go there because there’s so much pressure and so much strain and you just want to stay on the outside and be yourself. And so the day is a constant struggle to get going.
And if somebody says to me, You’re a prolific writer—it seems so odd. It’s like the difference between geological time and human time. On a certain scale, it does look like I do a lot. But that’s my day, all day long, sitting there wondering when I’m going to be able to get started. And the routine of doing this six days a week puts a little drop in a bucket each day, and that’s the key. Because if you put a drop in a bucket every day, after three hundred and sixty-five days, the bucket’s going to have some water in it.
https://www.theparisreview.org/interviews/5997/john-mcphee-the-art-of-nonfiction-no-3-john-mcphee
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The sea is not all that responds to the moon. Twice a day the solid earth bobs up and down, as much as a foot. That kind of force and that kind of distance are more than enough to break hard rock. Wells will flow faster during lunar high tides.
Annals of the Former World
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The strength of all sciences is, as the strength of the old man’s faggot, in the band. For the harmony of a science, supporting each part the other, is and ought to be the true and brief confutation and suppression of all the smaller sort of objections; but, on the other side, if you take out every axiom, as the sticks of the faggot, one by one, you may quarrel with them and bend them and break them at your pleasure: so that, as was said of Seneca, Verborum minutiis rerum frangit pondera [that he broke up the weight and mass of the matter by verbal points and niceties], so a man may truly say of the schoolmen, Quaestionum minutiis scientiarum frangunt soliditatem [they broke up the solidarity and coherency of the sciences by the minuteness and nicety of their questions]. For were it not better for a man in fair room to set up one great light, or branching candlestick of lights, than to go about with a small watch-candle into every corner?
The Works of Francis Bacon (1864), Vol. 6, 123
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The surveyor ought to work in solitude. He must no more admit company while mapping than a writer admits visitors to his study while writing. This applies even to geological company, nay, even to the company of a skilled fellow-surveyor... The two authors of this book [Edward Greenly and Howell Williams] once thought that it would be pleasant to have a day's mapping together, and decided to break through their rule. The result was a ludicrous paralysis. The commonest operation seemed a mountain of difficulty. Next day the senior author (whose ground it was) swept an india-rubber over every line and went out again, when, hey presto! And all was clear.
Edward Greenly and Howell Williams, Methods in Geological Surveying (1930), 375-6.
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The threads that archaeology has put in Sir Arthur Evans’ hands are of necessity tangled, faded and broken; yet his learning and intuition have enabled him to weave them into a coherent whole that is almost history.
From Bosanquet’s book review, 'The Realm of Minos', (of Sir Arthur Evans’, The Palace of Minos: A Comparative Account of the Successive Stages of the Early Cretan Civilization as Illustrated by the Discoveries at Knossos: Volume I), in Harold Cox, ed., The Edinburgh Review (Jul 1922), 236, No. 481, 70.
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The ultimate origin of the difficulty lies in the fact (or philosophical principle) that we are compelled to use the words of common language when we wish to describe a phenomenon, not by logical or mathematical analysis, but by a picture appealing to the imagination. Common language has grown by everyday experience and can never surpass these limits. Classical physics has restricted itself to the use of concepts of this kind; by analysing visible motions it has developed two ways of representing them by elementary processes; moving particles and waves. There is no other way of giving a pictorial description of motions—we have to apply it even in the region of atomic processes, where classical physics breaks down.
Max Born
Atomic Physics (1957), 97.
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The way to solve the conflict between human values and technological needs is not to run away from technology, that’s impossible. The way to resolve the conflict is to break down the barriers of dualistic thought that prevent a real understanding of what technology is—not an exploitation of nature, but a fusion of nature and the human spirit into a new kind of creation that transcends both.
In Zen and the Art of Motorcycle Maintenance (1974).
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The wild gas, the fixed air is plainly broke loose: but we ought to suspend our judgments until the first effervescence is a little subsided, till the liquor is cleared, and until we see something deeper than the agitation of the troubled and frothy surface.
[About the “spirit of liberty;” alluding to Priestley’s Observations on Air]
Reflections on the Revolution in France (1790), 8.
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There are no signposts in the sky to show a man has passed that way before. There are no channels marked. The flier breaks each second into new uncharted seas.
In North to the Orient (1935, 1963), 7.
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There is a moral or metaphysical part of nature as well as a physical. A man who denies this is deep in the mire of folly. ’Tis the crown and glory of organic science that it does through final cause, link material and moral; and yet does not allow us to mingle them in our first conception of laws, and our classification of such laws, whether we consider one side of nature or the other. You have ignored this link; and, if I do not mistake your meaning, you have done your best in one or two pregnant cases to break it. Were it possible (which, thank God, it is not) to break it, humanity, in my mind, would suffer a damage that might brutalize it, and sink the human race into a lower grade of degradation than any into which it has fallen since its written records tell us of its history.
Letter to Charles Darwin (Nov 1859). In Charles Darwin and Francis Darwin (ed.), Charles Darwin: His Life Told in an Autobiographical Chapter, and in a Selected Series of His Published Letters (1892), 217.
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There is great exhilaration in breaking one of these things. … Ramanujan gives no hints, no proof of his formulas, so everything you do you feel is your own.
[About verifying Ramanujan’s equations in a newly found manuscript.]
Quoted in John Noble Wilford, 'Mathematician's Final Equations Praised', New York Times (9 Jun 1981), C1.
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There is no art or science that is too difficult for industry to attain to; it is the gift of tongues, and makes a man understood and valued in all countries, and by all nations; it is the philosopher's stone, that turns all metals, and even stones, into gold, and suffers not want to break into its dwelling; it is the northwest passage, that brings the merchant's ships as soon to him as he can desire: in a word, it conquers all enemies, and makes fortune itself pay contribution.
'Essay on Industry' (1670). In Thomas Henry Lister, Life and Administration of Edward, first Earl of Clarendon (1838), Vol. 2, 566.
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There is, it appears, a conspiracy of scientists afoot. Their purpose is to break down religion, propagate immorality, and so reduce mankind to the level of brutes. They are the sworn and sinister agents of Beelzebub, who yearns to conquer the world, and has his eye especially upon Tennessee.
[Report on the Scopes Monkey Trial.]
Baltimore Evening Sun (11 Jul 1925). In H.L. Mencken, S. T. Joshi (Ed.), H.L. Mencken on Religion (2002), 178.
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Therefore it is by no means an idle game if we become practiced in analysing long-held commonplace concepts and showing the circumstances on which their justification and usefulness depend, and how they have grown up, individually, out of the givens of experience. Thus their excessive authority will be broken.
…...
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Underneath all the various theories which are only created to be destroyed; underneath all the hypotheses which one century regards as disclosing the secret mechanism and hidden spring of the universe—and which the following century breaks to pieces as children’s toys—may be recognized the slow progress, slow but incessant, of mathematical physics.
Quote translated from 'Les Théories de l’Optique', Revue des Deux Mondes (1 May 1894), Vol. 123, 125; in 'What is Science', compiled by Mrs. H.O. Ward, in J. M. Stoddart (ed.), The New Science Review: A Miscellany of Modern Thought and Discovery (Oct 1894), Vol. 1, No. 2, 173. From the original French, “Sous les théories qui ne s’élèvent que pour être abuttues, sous les hypothèses qu’un siècle contemple comme le mécanisme secret et le ressort caché de l’Univers, et que le siècle suivant brise comme des jouets d’enfant, se poursuit le progrès lent, mais incessant, de la physique mathématique.” Note: in the New Science Review, the author is incorrectly identified as “Duhene.”
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We don't know what we are talking about. Many of us believed that string theory was a very dramatic break with our previous notions of quantum theory. But now we learn that string theory, well, is not that much of a break. The state of physics today is like it was when we were mystified by radioactivity. They were missing something absolutely fundamental. We are missing perhaps something as profound as they were back then.
Closing address to the 23rd Solvay Conference in Physics, Brussels, Belgium (Dec 2005). Quoted in Ashok Sengupta, Chaos, Nonlinearity, Complexity: The Dynamical Paradigm of Nature (2006), vii. Cite in Alfred B. Bortz, Physics: Decade by Decade (2007), 206.
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What can you conceive more silly and extravagant than to suppose a man racking his brains, and studying night and day how to fly? ... wearying himself with climbing upon every ascent, ... bruising himself with continual falls, and at last breaking his neck? And all this, from an imagination that it would be glorious to have the eyes of people looking up at him, and mighty happy to eat, and drink, and sleep, at the top of the highest trees in the kingdom.
In A Serious Call to a Devout and Holy Life (1732), 168. This was written before Montgolfier brothers, pioneer balloonists, were born.
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What opposite discoveries we have seen!
(Signs of true genius, and of empty pockets.)
One makes new noses, one a guillotine,
One breaks your bones, one sets them in their sockets;
But vaccination certainly has been
A kind antithesis to Congreve's rockets, ...
Don Juan (1819, 1858), Canto I, CCXXIX, 35. Referring to Edward Jenner's work on vaccination (started 14 May 1796), later applied by Napoleon who caused his soldiers to be vaccinated. Sir William Congreve's shells, invented in 1804, proved very effective at the battle of Leipzig (1813).
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When the uncultured man sees a stone in the road it tells him no story other than the fact that he sees a stone … The scientist looking at the same stone perhaps will stop, and with a hammer break it open, when the newly exposed faces of the rock will have written upon them a history that is as real to him as the printed page.
In Nature’s Miracles: Familiar Talks on Science (1899), Vol. 1, 2.
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While the method of the natural sciences is... analytic, the method of the social sciences is better described as compositive or synthetic. It is the so-called wholes, the groups of elements which are structurally connected, which we learn to single out from the totality of observed phenomena... Insofar as we analyze individual thought in the social sciences the purpose is not to explain that thought, but merely to distinguish the possible types of elements with which we shall have to reckon in the construction of different patterns of social relationships. It is a mistake... to believe that their aim is to explain conscious action ... The problems which they try to answer arise only insofar as the conscious action of many men produce undesigned results... If social phenomena showed no order except insofar as they were consciously designed, there would indeed be no room for theoretical sciences of society and there would be, as is often argued, only problems of psychology. It is only insofar as some sort of order arises as a result of individual action but without being designed by any individual that a problem is raised which demands a theoretical explanation... people dominated by the scientistic prejudice are often inclined to deny the existence of any such order... it can be shown briefly and without any technical apparatus how the independent actions of individuals will produce an order which is no part of their intentions... The way in which footpaths are formed in a wild broken country is such an instance. At first everyone will seek for himself what seems to him the best path. But the fact that such a path has been used once is likely to make it easier to traverse and therefore more likely to be used again; and thus gradually more and more clearly defined tracks arise and come to be used to the exclusion of other possible ways. Human movements through the region come to conform to a definite pattern which, although the result of deliberate decision of many people, has yet not be consciously designed by anyone.
…...
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Winter opened its vaults last night, flinging fistfuls of crystalline diamonds into the darkening sky. Like white-tulled ballerinas dancing gracefully on heaven’s stage, silent stars stood entranced by their intricate beauty. Motionless, I watched each lacy gem drift softly by my upturned face, as winter’s icy hands guided them gently on their swirling lazy way, and blanketed the waiting earth in cold splendor. The shivering rustling of reeds, the restless fingers of the trees snapping in the frosty air, broke the silent stillness, as winter quietly pulled up its white coverlet over the sleepy earth.
…...
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Without the hard little bits of marble which are called 'facts' or 'data' one cannot compose a mosaic; what matters, however, are not so much the individual bits, but the successive patterns into which you arrange them, then break them up and rearrange them.
In The Act of Creation (1964), 235.
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You tell your doctor, that y’are ill
and what does he, but write a bill?
Of which you need not read one letter;
The worse the scrawl, the dose the better,
For if you knew but what you take,
Though you recover, he must break.
In Alma Canto III. Collected in Poems on Several Occasions (1709), 262.
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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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Carl Gauss
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- 90 -
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Charles Babbage
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- 80 -
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- 70 -
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- 60 -
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- 50 -
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- 40 -
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Archimedes
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- 30 -
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- 20 -
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- 10 -
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