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Who said: “I have no satisfaction in formulas unless I feel their arithmetical magnitude.”
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[To] mechanical progress there is apparently no end: for as in the past so in the future, each step in any direction will remove limits and bring in past barriers which have till then blocked the way in other directions; and so what for the time may appear to be a visible or practical limit will turn out to be but a bend in the road.
Opening address to the Mechanical Science Section, Meeting of the British Association, Manchester. In Nature (15 Sep 1887), 36, 475.
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He who doth with the greatest exactness imaginable, weigh every individual thing that shall or hath hapned to his Patient, and may be known from the Observations of his own, or of others, and who afterwards compareth all these with one another, and puts them in an opposite view to such Things as happen in a healthy State; and lastly, from all this with the nicest and severest bridle upon his reasoning faculty riseth to the knowledge of the very first Cause of the Disease, and of the Remedies fit to remove them; He, and only He deserveth the Name of a true Physician.
Aphorism No. 13 in Boerhaave’s Aphorisms: Concerning The Knowledge and Cure of Diseases (1715), 3.
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A troubling question for those of us committed to the widest application of intelligence in the study and solution of the problems of men is whether a general understanding of the social sciences will be possible much longer. Many significant areas of these disciplines have already been removed by the advances of the past two decades beyond the reach of anyone who does not know mathematics; and the man of letters is increasingly finding, to his dismay, that the study of mankind proper is passing from his hands to those of technicians and specialists. The aesthetic effect is admittedly bad: we have given up the belletristic “essay on man” for the barbarisms of a technical vocabulary, or at best the forbidding elegance of mathematical syntax.
Opening paragraph of 'The Study of Man: Sociology Learns the Language of Mathematics' in Commentary (1 Sep 1952). Reprinted in James Roy Newman, The World of Mathematics (1956), Vol. 2, 1294.
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A typical triumph of modern science to find the only part of Randolph [Churchill] that was not malignant and remove it.
Comment after Randolph Churchill had a noncancerous lung removed. As quoted in Tuttle Dictionary of Quotations (1989), 70.
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All power, all subordination rests on the executioner: he is the horror and the bond of human association. Remove this incomprehensible agent from the world, and the very moment order gives way to chaos, thrones topple, and society disappears
In Joseph de Maistre and Richard A. Lebrun (trans.), The St. Petersburg Dialogues (1993), 20.
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And yet the books which then I valued most
Are dearest to me now; for, having scanned,
Not heedlessly, the laws, and watched the forms
Of Nature, in that knowledge I possessed
A standard, often usefully applied,
Even when unconsciously, to things removed
From a familiar sympathy.
From 'The Prelude' in Book 5, collected in Henry Reed (ed.), The Complete Poetical Works of William Wordsworth (1851), 503.
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Anybody who looks at living organisms knows perfectly well that they can produce other organisms like themselves. This is their normal function, they wouldn’t exist if they didn’t do this, and it’s not plausible that this is the reason why they abound in the world. In other words, living organisms are very complicated aggregations of elementary parts, and by any reasonable theory of probability or thermodynamics highly improbable. That they should occur in the world at all is a miracle of the first magnitude; the only thing which removes, or mitigates, this miracle is that they reproduce themselves. Therefore, if by any peculiar accident there should ever be one of them, from there on the rules of probability do not apply, and there will be many of them, at least if the milieu is reasonable. But a reasonable milieu is already a thermodynamically much less improbable thing. So, the operations of probability somehow leave a loophole at this point, and it is by the process of self-reproduction that they are pierced.
From lecture series on self-replicating machines at the University of Illinois, Lecture 5 (Dec 1949), 'Re-evaluation of the Problems of Complicated Automata—Problems of Hierarchy and Evolution', Theory of Self-Reproducing Automata (1966).
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Archimedes … had stated that given the force, any given weight might be moved, and even boasted, we are told, relying on the strength of demonstration, that if there were another earth, by going into it he could remove this. Hiero being struck with amazement at this, and entreating him to make good this problem by actual experiment, and show some great weight moved by a small engine, he fixed accordingly upon a ship of burden out of the king’s arsenal, which could not be drawn out of the dock without great labor and many men; and, loading her with many passengers and a full freight, sitting himself the while far off with no great endeavor, but only holding the head of the pulley in his hand and drawing the cords by degrees, he drew the ship in a straight line, as smoothly and evenly, as if she had been in the sea. The king, astonished at this, and convinced of the power of the art, prevailed upon Archimedes to make him engines accommodated to all the purposes, offensive and defensive, of a siege. … the apparatus was, in most opportune time, ready at hand for the Syracusans, and with it also the engineer himself.
Plutarch
In John Dryden (trans.), Life of Marcellus.
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As far as I see, such a theory [of the primeval atom] remains entirely outside any metaphysical or religious question. It leaves the materialist free to deny any transcendental Being. He may keep, for the bottom of space-time, the same attitude of mind he has been able to adopt for events occurring in non-singular places in space-time. For the believer, it removes any attempt to familiarity with God, as were Laplace’s chiquenaude or Jeans’ finger. It is consonant with the wording of Isaiah speaking of the “Hidden God” hidden even in the beginning of the universe … Science has not to surrender in face of the Universe and when Pascal tries to infer the existence of God from the supposed infinitude of Nature, we may think that he is looking in the wrong direction.
From 'The Primeval Atom Hypothesis and the Problem of Clusters of Galaxies', in R. Stoops (ed.), La Structure et l'Evolution de l'Univers (1958), 1-32. As translated in Helge Kragh, Cosmology and Controversy: The Historical Development of Two Theories of the Universe (1996), 60.
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Evolution is the law of policies: Darwin said it, Socrates endorsed it, Cuvier proved it and established it for all time in his paper on 'The Survival of the Fittest.' These are illustrious names, this is a mighty doctrine: nothing can ever remove it from its firm base, nothing dissolve it, but evolution.
'Three Thousand Years Among the Microbes', Which Was the Dream? (1967), Chap. 8. In Mark Twain and Brian Collins (ed.), When in Doubt, Tell the Truth: and Other Quotations from Mark Twain (1996), 47.
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Fish does not now—nor can it ever—feed the world. … Many developed, wealthy nations … dine on seafood more for taste than for necessity. … not one would on average incur any protein deficiency even if fish were completely removed from its dinner tables.
In Jacques Cousteau and Susan Schiefelbein, The Human, the Orchid, and the Octopus: Exploring and Conserving Our Natural World (2007), 153.
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For there are two modes of acquiring knowledge, namely, by reasoning and experience. Reasoning draws a conclusion and makes us grant the conclusion, but does not make the conclusion certain, nor does it remove doubt so that the mind may rest on the intuition of truth, unless the mind discovers it by the path of experience; since many have the arguments relating to what can be known, but because they lack experience they neglect the arguments, and neither avoid what is harmful nor follow what is good. For if a man who has never seen fire should prove by adequate reasoning that fire burns and injures things and destroys them, his mind would not be satisfied thereby, nor would he avoid fire, until he placed his hand or some combustible substance in the fire, so that he might prove by experience that which reasoning taught. But when he has had actual experience of combustion his mind is made certain and rests in the full light of truth. Therefore reasoning does not suffice, but experience does.
Opus Majus [1266-1268], Part VI, chapter I, trans. R. B. Burke, The Opus Majus of Roger Bacon (1928), Vol. 2, 583.
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Having probes in space was like having a cataract removed. We could see things never seen before, just as Galileo could with his telescope.
Quoted, without citation, in Eric Lerner, The Big Bang Never Happened: A Startling Refutation of the Dominant Theory of the Origin of the Universe (2010), 45. Need primary source - can you help?
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Heat is a universal solvent, melting out of things their power of resistance, and sucking away and removing their natural strength with its fiery exhalations so that they grow soft, and hence weak, under its glow.
Vitruvius
In De Architectura, Book 1, Chap 4, Sec. 3. As translated in Morris Hicky Morgan (trans.), Vitruvius: The Ten Books on Architecture (1914), 18.
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Hence when a person is in great pain, the cause of which he cannot remove, he sets his teeth firmly together, or bites some substance between them with great vehemence, as another mode of violent exertion to produce a temporary relief. Thus we have the proverb where no help can be has in pain, 'to grin and abide;' and the tortures of hell are said to be attended with 'gnashing of teeth.'Describing a suggestion of the origin of the grin in the present form of a proverb, 'to grin and bear it.'
Zoonomia, Or, The Laws of Organic Life, in three parts (1803), Vol. 1, 330.
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I couldn’t help picturing [the Steady State universe] as a sort of 1950s advertisement, with a pipe-smoking father sitting comfortably in his living room, next to the radiogram, with a wife knitting submissively in the background, and a small boy playing with Meccano on the carpet. The father would remove his pipe and twinkle knowledgeably as he said “Of course, I’m with Steady State Insurance,” and a caption underneath would say “You Know Where You Are With a STEADY STATE Policy.”
In short essay, 'The Origin of the Universe,' 1-2. Written after hearing Stephen Hawking’s lecture (2006) at Oxford, about the origin of the universe.
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I have recently read an article on handwriting and forgeries in which it is stated that ink eradicators do not remove ink: but merely bleach it, and that ink so bleached can be easily brought out by a process of fuming: known to all handwriting experts. Can you give me a description of this process, what chemicals are used: and how it is performed?
Showing his early interest in science, at age 16, while a student at Tulsa Central High School. From the first time Gardner’s writing appeared in print: a query printed in a magazine in Hugo Gernsback (ed.), 'Now It Is Now It Isn’t', Science and Invention (Apr 1930), 1119. As quoted and cited in Dana Richards, 'Martin Gardner: A “Documentary”', collected in Elwyn R. Berlekamp and Tom Rodgers (ed.) The Mathemagician and Pied Puzzler: A Collection in Tribute to Martin Gardner (1999), 3.
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I, Galileo Galilei, son of the late Vincenzo Galilei, of Florence, aged seventy years, being brought personally to judgment, and kneeling before your Most Eminent and Most Reverend Lords Cardinals, General Inquisitors of the universal Christian republic against heretical depravity, having before my eyes the Holy Gospels, which I touch with my own hands, swear that I have always believed, and now believe, and with the help of God will in future believe, every article which the Holy Catholic and Apostolic Church of Rome holds, teaches, and preaches. But because I have been enjoined by this Holy Office altogether to abandon the false opinion which maintains that the sun is the centre and immovable, and forbidden to hold, defend, or teach the said false doctrine in any manner, and after it hath been signified to me that the said doctrine is repugnant with the Holy Scripture, I have written and printed a book, in which I treat of the same doctrine now condemned, and adduce reasons with great force in support of the same, without giving any solution, and therefore have been judged grievously suspected of heresy; that is to say, that I held and believed that the sun is the centre of the universe and is immovable, and that the earth is not the centre and is movable; willing, therefore, to remove from the minds of your Eminences, and of every Catholic Christian, this vehement suspicion rightfully entertained toward me, with a sincere heart and unfeigned faith, I abjure, curse, and detest the said errors and heresies, and generally every other error and sect contrary to Holy Church; and I swear that I will never more in future say or assert anything verbally, or in writing, which may give rise to a similar suspicion of me; but if I shall know any heretic, or anyone suspected of heresy, that I will denounce him to this Holy Office, or to the Inquisitor or Ordinary of the place where I may be; I swear, moreover, and promise, that I will fulfil and observe fully, all the penances which have been or shall be laid on me by this Holy Office. But if it shall happen that I violate any of my said promises, oaths, and protestations (which God avert!), I subject myself to all the pains and punishments which have been decreed and promulgated by the sacred canons, and other general and particular constitutions, against delinquents of this description. So may God help me, and his Holy Gospels which I touch with my own hands. I, the above-named Galileo Galilei, have abjured, sworn, promised, and bound myself as above, and in witness thereof with my own hand have subscribed this present writing of my abjuration, which I have recited word for word. At Rome, in the Convent of Minerva, June 22, 1633. I, Galileo Galilei, have abjured as above with my own hand.
Abjuration, 22 Jun 1633. In J.J. Fahie, Galileo, His Life and Work (1903), 319-321.
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If a nonnegative quantity was so small that it is smaller than any given one, then it certainly could not be anything but zero. To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be. These supposed mysteries have rendered the calculus of the infinitely small quite suspect to many people. Those doubts that remain we shall thoroughly remove in the following pages, where we shall explain this calculus.
…...
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If we would indicate an idea … striving to remove the barriers which prejudice and limited views of every kind have erected among men, and to treat all mankind, without reference to religion, nation, or color, as one fraternity, one great community, fitted for the attainment of one object, the unrestrained development of the physical powers. This is the ultimate and highest aim of society.
In Ueber die Kawi-Sprache, Vol. 3, 426. As quoted in Alexander von Humboldt, Cosmos: A Sketch of a Physical Description of the Universe (1850), Vol. 1, 358, as translated by Elise C. Otté.
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In every combustion there is disengagement of the matter of fire or of light. A body can burn only in pure air [oxygen]. There is no destruction or decomposition of pure air and the increase in weight of the body burnt is exactly equal to the weight of air destroyed or decomposed. The body burnt changes into an acid by addition of the substance that increases its weight. Pure air is a compound of the matter of fire or of light with a base. In combustion the burning body removes the base, which it attracts more strongly than does the matter of heat, which appears as flame, heat and light.
'Memoire sur la combustion en général', Mémoires de l'Académie des Sciences, 1777, 592. Reprinted in Oeuvres de Lavoisier (1864), Vol. 2, 225-33, trans. M. P. Crosland.
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In not a few the [opium-eating] habit has crept upon them almost unconsciously, during the medicinal use of opiates to soothe pain, to remove sleeplessness, or to arrest protracted bowel-complaint. The risk of this evil should therefore be carefully borne in mind, for life-long misery has often been caused by undue laxity in the prescribing of opiates.
In 'Clinical Lecture On The Treatment Of The Habit Of Opium-Eating', The British Medical Journal (15 Feb 1868), 1, No. 372, 137.
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It has been said that science is opposed to, and in conflict with revelation. But the history of the former shown that the greater its progress, and the more accurate its investigations and results, the more plainly it is seen not only not to clash with the Latter, but in all things to confirm it. The very sciences from which objections have been brought against religion have, by their own progress, removed those objections, and in the end furnished fall confirmation of the inspired Word of God.
…...
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It really is worth the trouble to invent a new symbol if we can thus remove not a few logical difficulties and ensure the rigour of the proofs. But many mathematicians seem to have so little feeling for logical purity and accuracy that they will use a word to mean three or four different things, sooner than make the frightful decision to invent a new word.
Grundgesetz der Arithmetik(1893), Vol. 2, Section 60, In P. Greach and M. Black (eds., Translations from the Philosophical Writings of Gottlob Frege (1952), 144.
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Mathematics associates new mental images with ... physical abstractions; these images are almost tangible to the trained mind but are far removed from those that are given directly by life and physical experience. For example, a mathematician represents the motion of planets of the solar system by a flow line of an incompressible fluid in a 54-dimensional phase space, whose volume is given by the Liouville measure
Mathematics and Physics (1981), Foreward. Reprinted in Mathematics as Metaphor: Selected Essays of Yuri I. Manin (2007), 90.
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Mathematics can remove no prejudices and soften no obduracy. It has no influence in sweetening the bitter strife of parties, and in the moral world generally its action is perfectly null.
In James Wood, Dictionary of Quotations from Ancient and Modern, English and Foreign Sources (1893), 271:3.
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Proof that a given condition always precedes or accompanies a phenomenon does not warrant concluding with certainty that a given condition is the immediate cause of that phenomenon. It must still be established that when this condition is removed, the phenomen will no longer appear.
From An Introduction to the Study of Experimental Medicine (1865), as translated by Henry Copley Greene (1957), 55.
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Seeing there is nothing that is so troublesome to mathematical practice … than the multiplications, divisions, square and cubical extractions of great numbers, which besides the tedious expense of time are … subject to many slippery errors, I began therefore to consider [how] I might remove those hindrances.
From Mirifici Logarithmorum Canonis Descriptio (1614), as translated by William Rae Macdonald in A Description of the Wonderful Canon of Logarithms (1889),
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Sometimes I wonder whether there is any such thing as biology. The word was invented rather late—in 1809—and other words like botany, zoology, physiology, anatomy, have much longer histories and in general cover more coherent and unified subject matters. … I would like to see the words removed from dictionaries and college catalogues. I think they do more harm than good because they separate things that should not be separated…
In The Forest and the Sea (1960), 6-7.
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The adults of Drosophila react positively to light, i.e., they go toward a source of light … whether the animals walk or fly. Removal of the wings causes the flies to become less responsive to light, … roughly proportional to the amount of the wing that is cut off. As was to be expected from this fact, mutant races with parts of the wings gone or deformed show the same relations—the smaller the amount of normal wing present, the less marked is the reaction to light.
In The North American Species of Drosophila (1921), 4.
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The computational formalism of mathematics is a thought process that is externalised to such a degree that for a time it becomes alien and is turned into a technological process. A mathematical concept is formed when this thought process, temporarily removed from its human vessel, is transplanted back into a human mold. To think ... means to calculate with critical awareness.
Mathematics and Physics (1981), Foreward. Reprinted in Mathematics as Metaphor: Selected Essays of Yuri I. Manin (2007), 90.
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The Foundation of Empire is Art & Science. Remove them, or Degrade them, & the Empire is No More. Empire follows Art, & not Vice Versa as Englishmen suppose.
Marginal note (c. 1808) written in his copy of The Works of Sir Joshua Reynolds (1798), at foot of first page of table of contents. As given in William Blake, Edwin John Ellis (ed.) and William Butler Yeats (ed.), The Works of William Blake (1893), Vol. 2, 319.
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The generality of men are so accustomed to judge of things by their senses that, because the air is indivisible, they ascribe but little to it, and think it but one remove from nothing.
In Mary Elvira Weeks, The Discovery of the Elements (1934), 29, citing Boyle, 'Memoirs for a General History of the Air', in Shaw's Abridgment of Boyle's works (1725), Vol. 3, 61, and Ramsay, The Gases of the Atmosphere (1915), 10.
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The great masters of modern analysis are Lagrange, Laplace, and Gauss, who were contemporaries. It is interesting to note the marked contrast in their styles. Lagrange is perfect both in form and matter, he is careful to explain his procedure, and though his arguments are general they are easy to follow. Laplace on the other hand explains nothing, is indifferent to style, and, if satisfied that his results are correct, is content to leave them either with no proof or with a faulty one. Gauss is as exact and elegant as Lagrange, but even more difficult to follow than Laplace, for he removes every trace of the analysis by which he reached his results, and studies to give a proof which while rigorous shall be as concise and synthetical as possible.
In History of Mathematics (3rd Ed., 1901), 468.
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The native hospital in Tunis was the focal point of my research. Often, when going to the hospital, I had to step over the bodies of typhus patients who were awaiting admission to the hospital and had fallen exhausted at the door. We had observed a certain phenomenon at the hospital, of which no one recognized the significance, and which drew my attention. In those days typhus patients were accommodated in the open medical wards. Before reaching the door of the wards they spread contagion. They transmitted the disease to the families that sheltered them, and doctors visiting them were also infected. The administrative staff admitting the patients, the personnel responsible for taking their clothes and linen, and the laundry staff were also contaminated. In spite of this, once admitted to the general ward the typhus patient did not contaminate any of the other patients, the nurses or the doctors. I took this observation as my guide. I asked myself what happened between the entrance to the hospital and the wards. This is what happened: the typhus patient was stripped of his clothes and linen, shaved and washed. The contagious agent was therefore something attached to his skin and clothing, something which soap and water could remove. It could only be the louse. It was the louse.
'Investigations on Typhus', Nobel lecture, 1928. In Nobel Lectures: Physiology or Medicine 1922-1941 (1965), 181.
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The plexus called rectiform [rete mirabile] by anatomists, is the most wonderful of the bodies located in this region. It encircles the gland [the hypophysis] itself and extends far to the rear; for nearly the whole base of the encephalon has this plexus lying beneath it. It is not a simple network but [looks] as if you had taken several fisherman’s nets and superimposed them. It is characteristic of this net of Nature’s, however, that the meshes of one layer are always attached to those of another, and it is impossible to remove anyone of them alone; for, one after another, the rest follow the one you are removing, because they are all attached to one another successively.
Galen
On the Usefulness of the Parts of the Body, Book IX, 4. Trans. Margaret Tallmadge May (1968), Vol. 1, 430-1.
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The problem [evolution] presented itself to me, and something led me to think of the positive checks described by Malthus in his Essay on Population, a work I had read several years before, and which had made a deep and permanent impression on my mind. These checks—war, disease, famine, and the like—must, it occurred to me, act on animals as well as man. Then I thought of the enormously rapid multiplication of animals, causing these checks to be much more effective in them than in the case of man; and while pondering vaguely on this fact, there suddenly flashed upon me the idea of the survival of the fittest—that the individuals removed by these checks must be on the whole inferior to those that survived. I sketched the draft of my paper … and sent it by the next post to Mr. Darwin.
In 'Introductory Note to Chapter II in Present Edition', Natural Selection and Tropical Nature Essays on Descriptive and Theoretical Biology (1891, New ed. 1895), 20.
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The reformer [of the body of law] who would seek to improve such a system in any material degree, mistakes his vocation. That task had better be left to time and experience. He will often find it impossible to know what to eradicate and what to spare, and in plucking up the tares, the wheat may sometimes be destroyed. “The pound of flesh” may be removed, indeed, but with it will come, gushing forth, the blood of life.
From biographical preface by T. Bigelow to Austin Abbott (ed.), Official Report of the Trial of Henry Ward Beecher (1875), Vol. 1, xii.
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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 rich man, gasping for breath … feels at last the impotence of gold; that death which he dreaded at a distance as an enemy, he now hails when he is near, as a friend; a friend that alone can bring the peace his treasures cannot purchase, and remove the pain his physicians cannot cure.
In Lacon: Or Many Things in Few Words, Addressed to Those who Think (1832), 125. [Part of this quote (after the semicolon) is often seen attributed to Mortimer Collins, who was born in 1827. That date makes it clearly impossible for Collins to be the author of this quote, published in 1832 by Colton.]
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The rocks are not so close akin to us as the soil; they are one more remove from us; but they lie back of all, and are the final source of all. ... Time, geologic time, looks out at us from the rocks as from no other objects in the landscape.
From Under the Apple-Trees (1916), Chap. 2, 'The Friendly Rocks', 40.
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The scientific world-picture vouchsafes a very complete understanding of all that happens–it makes it just a little too understandable. It allows you to imagine the total display as that of a mechanical clockwork which, for all that science knows, could go on just the same as it does, without there being consciousness, will, endeavor, pain and delight and responsibility connected with it–though they actually are. And the reason for this disconcerting situation is just this: that for the purpose of constructing the picture of the external world, we have used the greatly simplifying device of cutting our own personality out, removing it; hence it is gone, it has evaporated, it is ostensibly not needed.
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The sweetest and most inoffensive path of life leads through the avenues of science and learning; and whoever can either remove any obstruction in this way, or open up any new prospect, ought, so far, to be esteemed a benefactor to mankind.
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The weight of any heavy body of known weight at a particular distance from the center of the world varies according to the variation of its distance therefrom: so that as often as it is removed from the center, it becomes heavier, and when brought near to it, is lighter. On this account, the relation of gravity to gravity is as the relation of distance to distance from the center.
From Book of the Balance of Wisdom. As cited in an epigraph in Charles W. Misner, Kip S. Thorne and John Archibald Wheeler, Gravity (1973), 37.
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There are many different styles of composition. I characterize them always as Mozart versus Beethoven. When Mozart began to write at that time he had the composition ready in his mind. He wrote the manuscript and it was ‘aus einem Guss’ (casted as one). And it was also written very beautiful. Beethoven was an indecisive and a tinkerer and wrote down before he had the composition ready and plastered parts over to change them. There was a certain place where he plastered over nine times and one did remove that carefully to see what happened and it turned out the last version was the same as the first one.
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To Descartes, the great philosopher of the 17th century, is due the undying credit of having removed the bann which until then rested upon geometry. The analytical geometry, as Descartes’ method was called, soon led to an abundance of new theorems and principles, which far transcended everything that ever could have been reached upon the path pursued by the ancients.
In Die Entwickelung der Mathematik in den letzten Jahrhunderten (1884), 10.
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To every Form of being is assigned’
Thus calmly spoke the venerable Sage,
An active Principle:—howe’er remove!
From sense and observation, it subsists.
In all things, in all natures; in the stars
Of azure heaven, the unenduring clouds,
In flower and tree, in every pebbly stone
That paves the brooks, the stationary rocks,
The moving waters, and the invisible air.’
In The Excursion (1814). In The Works of William Wordsworth (1994), Book 9, 884.
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To restore stability to our planet, therefore, we must restore its biodiversity, the very thing we have removed. It is the only way out of this crisis that we ourselves have created. We must rewild the world!
As quoted, without source, in Kate Ng, 'David Attenborough turns 95: His best quotes on nature, sustainability and humankind', Independent (8 May 2021).
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When... the biologist is confronted with the fact that in the organism the parts are so adapted to each other as to give rise to a harmonious whole; and that the organisms are endowed with structures and instincts calculated to prolong their life and perpetuate their race, doubts as to the adequacy of a purely physiochemical viewpoint in biology may arise. The difficulties besetting the biologist in this problem have been rather increased than diminished by the discovery of Mendelian heredity, according to which each character is transmitted independently of any other character. Since the number of Mendelian characters in each organism is large, the possibility must be faced that the organism is merely a mosaic of independent hereditary characters. If this be the case the question arises: What moulds these independent characters into a harmonious whole? The vitalist settles this question by assuming the existence of a pre-established design for each organism and of a guiding 'force' or 'principle' which directs the working out of this design. Such assumptions remove the problem of accounting for the harmonious character of the organism from the field of physics or chemistry. The theory of natural selection invokes neither design nor purpose, but it is incomplete since it disregards the physiochemical constitution of living matter about which little was known until recently.
The Organism as a Whole: From a Physiochemical Viewpoint (1916), v-vi.
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Whereas what knowledge we derive from lectures, reading and conversation, is but the copy of other men’s men's ideas; that is, the picture of a picture; and ’tis one remove farther from the original.
In Interesting Anecdotes, Memoirs, Allegories, Essays, and Poetical Fragments (1793), Vols 3-4, Vol 4, 72-73.
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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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- 90 -
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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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- 30 -
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- 20 -
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