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Home > Category Index for Science Quotations > Category Index T > Category: Touch

Touch Quotes (146 quotes)

…with common water. Its substance reaches everywhere; it touches the past and prepares the future; it moves under the poles and wanders thinly in the heights of air. It can assume forms of exquisite perfection in a snowflake, or strip the living to a single shining bone cast up by the sea.
From essay 'The Flow of the River', collected in The Immense Journey: An Imaginative Naturalist Explores the Mysteries of Man and Nature (1957, 1959), 16.
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“Advance, ye mates! Cross your lances full before me. Well done! Let me touch the axis.” So saying, with extended arm, he grasped the three level, radiating lances at their crossed centre; while so doing, suddenly and nervously twitched them; meanwhile, glancing intently from Starbuck to Stubb; from Stubb to Flask. It seemed as though, by some nameless, interior volition, he would fain have shocked into them the same fiery emotion accumulated within the Leyden jar of his own magnetic life. The three mates quailed before his strong, sustained, and mystic aspect. Stubb and Flask looked sideways from him; the honest eye of Starbuck fell downright.
“In vain!&rsdquo; cried Ahab; “but, maybe, ’tis well. For did ye three but once take the full-forced shock, then mine own electric thing, that had perhaps expired from out me. Perchance, too, it would have dropped ye dead.…”
[Commentary by Henry Schlesinger: Electricity—mysterious and powerful as it seemed at the time—served as a perfect metaphor for Captain Ahab’s primal obsession and madness, which he transmits through the crew as if through an electrical circuit in Moby-Dick.]
Extract from Herman Melville, Moby-Dick and comment by Henry Schlesinger from his The Battery: How Portable Power Sparked a Technological Revolution (2010), 64.
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[My dream dinner guest is] Charles Darwin. It’s an obvious answer, but it’s the truth. Think of any problem and before you start theorising, just check up whether Charles Darwin mentioned it in one of those green books sitting on your shelf. Whether it’s earthworms, human gestures or the origin of species, the observations that man made are unbelievable. He touched on so many subjects. Then, Alexander von Humboldt, the last polymath. There was no aspect of the natural world that he wasn’t curious about or didn’t write about in Kosmos, an extraordinary book.
From interview with Alice Roberts, 'Attenborough: My Life on Earth', The Biologist (Aug 2015), 62, No. 4, 16.
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[On common water.] Its substance reaches everywhere; it touches the past and prepares the future; it moves under the poles and wanders thinly in the heights of air. It can assume forms of exquisite perfection in a snowflake, or strip the living to a single shining bone cast up by the sea.
From essay 'The Flow of the River', collected in The Immense Journey: An Imaginative Naturalist Explores the Mysteries of Man and Nature (1957, 1959), 16.
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[Scientists are explorers.] Spoke-like, their trails into the unknown leave the little hub of common knowledge far behind and their fellow explorers further and further out of touch.
The Development of Design (1981), 1.
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[The attitude of the Renaissance towards the antique world was that] Archaeology to them was not a mere science for the antiquarian; it was a means by which they could touch the dry dust of antiquity into the very breath and beauty of life, and fill with the new wine of romanticism forms that else had been old and out-worn.
In his essay 'The Truth of Masks', collected in Intentions (1904), 213.
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[Urbain Jean Joseph] Le Verrier—without leaving his study, without even looking at the sky—had found the unknown planet [Neptune] solely by mathematical calculation, and, as it were, touched it with the tip of his pen!
In Camille Flammarion, Astronomy (1914), 171.
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But how shall we this union well expresse?
Naught tyes the soule: her subtiltie is such
She moves the bodie, which she doth possesse.
Yet no part toucheth, but by Vertue's touch.
Then dwels she not therein as in a tent;
Nor as a pilot in his Ship doth sit;
Nor as the spider in his web is pent;
Nor as the Waxe retaines the print in it;
Nor as a Vessell water doth containe;
Nor as one Liquor in another shed;
Nor as the heate dath in the fire remaine;
Nor as a voice throughout the ayre is spred;
But as the faire and cheerfull morning light,
Doth here, and there, her silver beames impart,
And in an instant doth her selfe unite
To the transparent Aire, in all, and part:
Still resting whole, when blowes the Aire devide;
Abiding pure, when th' Aire is most corrupted;
Throughout the Aire her beames dispersing wide,
And when the Aire is tost, not interrupted:
So doth the piercing Soule the body fill;
Being all in all, and all in part diffus'd;
Indivisible, incorruptible still,
Not forc't, encountred, troubled or confus'd.
And as the Sunne above the light doth bring,
Tough we behold it in the Aire below;
So from th'eternall light the Soule doth spring,
Though in the Bodie she her powers do show.
From 'Nosce Teipsum' (1599), in Claire Howard (ed.), The Poems of Sir John Davies (1941), 151-2.
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Publius Ovid quote Some wounds are made worse
Wall mural uncovered at Pompeii shows a Roman army medic using pinchers to remove an object from a soldier’s wound from before 79 a.d. (source)
Curando fieri quaedam majora videmus vulnera, quae melius non tetigisse fuit.
Some wounds are made worse by treatment, as we see: it had been better not to touch them.
From Epistolae ex Ponto, III., 7, 25. Original Latin and translation in Arthur Leslie Wheeler (trans.), Ovid: With an English Translation: Tristia, Ex Ponto (1939), 416-417. Also seen translated as “Some wounds grow worse beneath the surgeon’s hand; ’Twere better that they were not touched at all” as in Thomas Benfield Harbottle, Dictionary of Quotations (Classical) (1897), 39. [However, note that this is an artistic translation, not very literal; the words for surgeon or hand do not appear in the Latin text. The Google translation engine outputs this translation of the Latin: “We see greater things to be done taking care of the kind of wounds, which would be better not to touch them.” —Webmaster]
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Nautae etiam mare legentes, cum beneficium claritatis solis in tempore nubilo non sentiunt, aut etiam cum caligne nocturnarum tenebrarum mundus obvolvitur, et ignorant in quem mundi cardinem prora tendat, acum super mangentem ponunt, quae circulariter circumvolvitur usque dum, ejus motu cessante.
Mariners at sea, when, through cloudy weather in the day which hides the sun, or through the darkness of night, they lose knowlege of the quarter of the world to which they are sailing, touch a needle with a magnet, which will turn round till, on its motion ceasing, its point will be directed towards the north.
De naturis rerum. Original Latin text quoted in Thomas Wright, A Volume of Vocabularies... (1873), 114. Translation from Lloyd A Brown, The Story of Maps (1980), 127.
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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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A contradiction (between science and religion) is out of the question. What follows from science are, again and again, clear indications of God’s activity which can be so strongly perceived that Kepler dared to say (for us it seems daring, not for him) that he could ‘almost touch God with his hand in the Universe.’
…...
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A hundred years ago, there were one-and-a-half billion people on Earth. Now, over six billion crowd our fragile planet. But even so, there are still places barely touched by humanity.
As quoted in Jack Shepherd, "David Attenborough: 15 of the naturalist’s best quotes: In celebration of his 94th birthday", Independent (8 May 2017), on independent.co.uk website.
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About the year 1772, being then an apprentice to a wheel-wright, or wagon maker, I laboured to discover some means of propelling land carriages without animal power. … one of my brothers [told me of] blacksmith’s boys, who, for amusement, had stopped up the touch hole of a gun barrel, then put in about a gill of water, and rammed down a tight wad; after which they put the breech in the smith’s fire, when it discharged itself with as loud a crack as if it had been loaded with powder. It immediately occurred to me, that here was the power to propel any wagon, if I could only apply it.
From 'On the Origin of Steam Boats and Steam Wagons', Thomas Cooper (ed.), The Emporium of Arts and Sciences (Feb 1814), 2, No. 2, 205.
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All over the world there lingers on the memory of a giant tree, the primal tree, rising up from the centre of the Earth to the heavens and ordering the universe around it. It united the three worlds: its roots plunged down into subterranean abysses, Its loftiest branches touched the empyrean. Thanks to the Tree, it became possible to breathe the air; to all the creatures that then appeared on Earth it dispensed its fruit, ripened by the sun and nourished by the water which it drew from the soil. From the sky it attracted the lightning from which man made fire and, beckoning skyward, where clouds gathered around its fall. The Tree was the source of all life, and of all regeneration. Small wonder then that tree-worship was so prevalent in ancient times.
From 'L'Arbre Sacre' ('The Sacred Tree'), UNESCO Courier (Jan 1989), 4. Epigraph to Chap 1, in Kenton Miller and Laura Tangley, Trees of Life: Saving Tropical Forests and Their Biological Wealt (1991), 1.
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Although with the majority of those who study and practice in these capacities [engineers, builders, surveyors, geographers, navigators, hydrographers, astronomers], secondhand acquirements, trite formulas, and appropriate tables are sufficient for ordinary purposes, yet these trite formulas and familiar rules were originally or gradually deduced from the profound investigations of the most gifted minds, from the dawn of science to the present day. … The further developments of the science, with its possible applications to larger purposes of human utility and grander theoretical generalizations, is an achievement reserved for a few of the choicest spirits, touched from time to time by Heaven to these highest issues. The intellectual world is filled with latent and undiscovered truth as the material world is filled with latent electricity.
In Orations and Speeches, Vol. 3 (1870), 513.
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And this is a miracle of nature in part known, namely, that iron follows the part of a magnet that touches it, and flies from the other part of the same magnet. And the iron turns itself after moving to the part of the heavens conformed to the part of the magnet which it touched.
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Any intelligent fool can make things bigger, more complex, and more violent. It takes a touch of genius - and a lot of courage - to move in the opposite direction.
…...
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As I looked down, I saw a large river meandering slowly along for miles, passing from one country to another without stopping. I also saw huge forests, extending along several borders. And I watched the extent of one ocean touch the shores of separate continents. Two words leaped to mind as I looked down on all this: commonality and interdependence. We are one world.
…...
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As scientists the two men were contrasting types—Einstein all calculation, Rutherford all experiment ... There was no doubt that as an experimenter Rutherford was a genius, one of the greatest. He worked by intuition and everything he touched turned to gold. He had a sixth sense.
(Reminiscence comparing his friend, Ernest Rutherford, with Albert Einstein, whom he also knew.)
Trial and Error: The Autobiography of Chaim Weizman (1949), 118. Quoted in A Force of Nature: The Frontier Genius of Ernest Rutherford (2007), 65-66.
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As soon as we touch the complex processes that go on in a living thing, be it plant or animal, we are at once forced to use the methods of this science [chemistry]. No longer will the microscope, the kymograph, the scalpel avail for the complete solution of the problem. For the further analysis of these phenomena which are in flux and flow, the investigator must associate himself with those who have labored in fields where molecules and atoms, rather than multicellular tissues or even unicellular organisms, are the units of study.
'Experimental and Chemical Studies of the Blood with an Appeal for More Extended Chemical Training for the Biological and Medical Investigator', Science (6 Aug 1915), 42, 176.
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Astronomy is a science in which you are not able to touch anything you study.
As quoted in John Noble Wilford, 'Sizing up the Cosmos: An Astronomers Quest', New York Times (12 Mar 1991), C10.
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But it is precisely mathematics, and the pure science generally, from which the general educated public and independent students have been debarred, and into which they have only rarely attained more than a very meagre insight. The reason of this is twofold. In the first place, the ascendant and consecutive character of mathematical knowledge renders its results absolutely insusceptible of presentation to persons who are unacquainted with what has gone before, and so necessitates on the part of its devotees a thorough and patient exploration of the field from the very beginning, as distinguished from those sciences which may, so to speak, be begun at the end, and which are consequently cultivated with the greatest zeal. The second reason is that, partly through the exigencies of academic instruction, but mainly through the martinet traditions of antiquity and the influence of mediaeval logic-mongers, the great bulk of the elementary text-books of mathematics have unconsciously assumed a very repellant form,—something similar to what is termed in the theory of protective mimicry in biology “the terrifying form.” And it is mainly to this formidableness and touch-me-not character of exterior, concealing withal a harmless body, that the undue neglect of typical mathematical studies is to be attributed.
In Editor’s Preface to Augustus De Morgan and Thomas J. McCormack (ed.), Elementary Illustrations of the Differential and Integral Calculus (1899), v.
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Constant, or free, life is the third form of life; it belongs to the most highly organized animals. In it, life is not suspended in any circumstance, it unrolls along a constant course, apparently indifferent to the variations in the cosmic environment, or to the changes in the material conditions that surround the animal. Organs, apparatus, and tissues function in an apparently uniform manner, without their activity undergoing those considerable variations exhibited by animals with an oscillating life. This because in reality the internal environment that envelops the organs, the tissues, and the elements of the tissues does not change; the variations in the atmosphere stop there, so that it is true to say that physical conditions of the environment are constant in the higher animals; it is enveloped in an invariable medium, which acts as an atmosphere of its own in the constantly changing cosmic environment. It is an organism that has placed itself in a hot-house. Thus the perpetual changes in the cosmic environment do not touch it; it is not chained to them, it is free and independent.
Lectures on the Phenomena of Life Common to Animals and Plants (1878), trans. Hebbel E. Hoff, Roger Guillemin and Lucienne Guillemin (1974), 83.
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Coy Nature, (which remain'd, though aged grown,
A beauteous virgin still, enjoy'd by none,
Nor seen unveil'd by anyone),
When Harvey's violent passion she did see,
Began to tremble and to flee;
Took sanctuary, like Daphne, in a tree:
There Daphne’s Lover stopped, and thought it much
The very leaves of her to touch:
But Harvey, our Apollo, stopp’d not so;
Into the Bark and Root he after her did go!
'Ode Upon Dr Harvey' (1663). In The British Poets: Including Translations in One Hundred Volumes (1822), Vol. 13, 245.
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Dirichlet was not satisfied to study Gauss’ Disquisitiones arithmetical once or several times, but continued throughout life to keep in close touch with the wealth of deep mathematical thoughts which it contains by perusing it again and again. For this reason the book was never placed on the shelf but had an abiding place on the table at which he worked. … Dirichlet was the first one, who not only fully understood this work, but made it also accessible to others.
In Dirichlet, Werke, Bd. 2, 315. As translated in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-book (1914), 159.
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Do not all charms fly
At the mere touch of cold philosophy?
There was an awful rainbow once in heaven:
We know her woof, her texture; she is given
In the dull catalogue of common things.
Philosophy will clip an Angel’s wings,
Conquer all mysteries by rule and line,
Empty the haunted air, and gnomed mine
Unweave a rainbow.
Lamia 1820, II, lines 229-37. In John Barnard (ed.), John Keats. The Complete Poems (1973), 431.
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Every science touches art at some points—every art has its scientific side.
In Armand Trousseau and John Rose Cormack (trans.), Lectures on Clinical Medicine: Delivered at the Hôtel-Dieu, Paris (1869), Vol. 2, 40.
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Happy the men who made the first essay,
And to celestial regions found the way!
No earthly vices clogg’d their purer souls,
That they could soar so high as touch the poles:
Sublime their thoughts and from pollution clear,
Bacchus and Venus held no revels there;
From vain ambition free; no love of war
Possess’d their minds, nor wranglings at the bar;
No glaring grandeur captivates their eyes,
For such see greater glory in the skies:
Thus these to heaven attain.
In Craufurd Tait Ramage (ed., trans.), Beautiful Thoughts From Latin Authors, with English Translations (1864),
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How did I discover saccharin? Well, it was partly by accident and partly by study. I had worked a long time on the compound radicals and substitution products of coal tar... One evening I was so interested in my laboratory that I forgot about my supper till quite late, and then rushed off for a meal without stopping to wash my hands. I sat down, broke a piece of bread, and put it to my lips. It tasted unspeakably sweet. I did not ask why it was so, probably because I thought it was some cake or sweetmeat. I rinsed my mouth with water, and dried my moustache with my napkin, when, to my surprise the napkin tasted sweeter than the bread. Then I was puzzled. I again raised my goblet, and, as fortune would have it, applied my mouth where my fingers had touched it before. The water seemed syrup. It flashed on me that I was the cause of the singular universal sweetness, and I accordingly tasted the end of my thumb, and found it surpassed any confectionery I had ever eaten. I saw the whole thing at once. I had discovered some coal tar substance which out-sugared sugar. I dropped my dinner, and ran back to the laboratory. There, in my excitement, I tasted the contents of every beaker and evaporating dish on the table.
Interview with American Analyst. Reprinted in Pacific Record of Medicine and Surgery (1886), 1, No. 3, 78.
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Hubble touches people. When you're looking that far out, you're giving people their place in the universe, it touches people. Science is often visual, so it doesn't need translation. It's like poetry, it touches you.
Interview (22 May 1997). On Academy of Achievement website.
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Humanity is about to learn that a lunatic (touched by the moon) is not a crazy man but one so sane, well-informed, well-coordinated, self-disciplined, cooperative and fearless as to be the first earthian human to have been ferried to a physical landing upon the moon, and thereafter to have been returned safely to reboard his mother space vehicle earth.
In 'Reactions to Man’s Landing on the Moon Show Broad Variations in Opinions', The New York Times (21 Jul 1969), 6.
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I call that part of the human body irritable, which becomes shorter upon being touched; very irritable if it contracts upon a slight touch, and the contrary if by a violent touch it contracts but little. I call that a sensible part of the human body, which upon being touched transmits the impression of it to the soul; and in brutes, in whom the existence of a soul is not so clear, I call those parts sensible, the Irritation of which occasions evident signs of pain and disquiet in the animal. On the contrary, I call that insensible, which being burnt, tore, pricked, or cut till it is quite destroyed, occasions no sign of pain nor convulsion, nor any sort of change in the situation of the body.
'A Treatise on the Sensible and Irritable Parts of Animals' (Read 1752). Trans. 1755 and reprinted in Bulletin of the Institute of the History of Medicine, 1936, 4(2), 658-9.
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I can assure you, reader, that in a very few hours, even during the first day, you will learn more natural philosophy about things contained in this book, than you could learn in fifty years by reading the theories and opinions of the ancient philosophers. Enemies of science will scoff at the astrologers: saying, where is the ladder on which they have climbed to heaven, to know the foundation of the stars? But in this respect I am exempt from such scoffing; for in proving my written reason, I satisfy sight, hearing, and touch: for this reason, defamers will have no power over me: as you will see when you come to see me in my little Academy.
The Admirable Discourses (1580), trans. Aurele La Rocque (1957), 27.
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I do not approve of anything that tampers with natural ignorance. Ignorance is like a delicate exotic fruit; touch it and the bloom is gone. The whole theory of modern education is radically unsound. Fortunately in England, at any rate, education produces no effect whatsoever. If it did, it would prove a serious danger to the upper classes.
Lines for fictional Lady Bracknell in play, The Importance of Being Earnest. Collected in Plays (1898), 293-294. [Wilde is speaking his mind through her voice, in characteristic trenchant style, about the mind-boggling stupidity of the British aristocratic leisure class. Wilde is making a serious social and political point. Effective education could threaten the established order. If the English downtrodden poor knew anything about anything they probably would overthrow the ruling class. —condensed from sparknotes.com]
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I had a Meccano set with which I “played” endlessly. Meccano which was invented by Frank Hornby around 1900, is called Erector Set in the US. New toys (mainly Lego) have led to the extinction of Meccano and this has been a major disaster as far as the education of our young engineers and scientists is concerned. Lego is a technically trivial plaything and kids love it partly because it is so simple and partly because it is seductively coloured. However it is only a toy, whereas Meccano is a real engineering kit and it teaches one skill which I consider to be the most important that anyone can acquire: This is the sensitive touch needed to thread a nut on a bolt and tighten them with a screwdriver and spanner just enough that they stay locked, but not so tightly that the thread is stripped or they cannot be unscrewed. On those occasions (usually during a party at your house) when the handbasin tap is closed so tightly that you cannot turn it back on, you know the last person to use the washroom never had a Meccano set.
Nobel laureate autobiography in Les Prix Nobel/Nobel Lectures 1996 (1997), 189.
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I have repeatedly had cause to refer to certain resemblances between the phenomena of irritability in the vegetable kingdom and those of the animal body, thus touching a province of investigation which has hitherto been far too little cultivated. In the last instance, indeed, I might say animal and vegetable life must of necessity agree in all essential points, including the phenomena of irritability also, since it is established that the animal organism is constructed entirely and simply from the properties of these substances that all vital movements both of plants and animals are to be explained.
Lectures on the Physiology of Plants (1887), 600.
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I have sat by night beside a cold lake
And touched things smoother than moonlight on still water,
But the moon on this cloud sea is not human,
And here is no shore, no intimacy,
Only the start of space, the road to suns.
Trans Canada
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 Ptolemy quote When I trace at my pleasure the windings
Conjunction of the moon, Venus and Jupiter (source)
I know that I am mortal by nature, and ephemeral; but when I trace at my pleasure the windings to and fro of the heavenly bodies I no longer touch earth with my feet: I stand in the presence of Zeus himself and take my fill of ambrosia, food of the gods.
Ptolemy
Epigram. Almagest. In Owen Gingerich, The Eye of Heaven: Ptolemy, Copernicus, Kepler (1993), 4.
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I purpose, in return for the honour you do us by coming to see what are our proceedings here, to bring before you, in the course of these lectures, the Chemical History of a Candle. I have taken this subject on a former occasion; and were it left to my own will, I should prefer to repeat it almost every year—so abundant is the interest that attaches itself to the subject, so wonderful are the varieties of outlet which it offers into the various departments of philosophy. There is not a law under which any part of this universe is governed which does not come into play, and is touched upon in these phenomena. There is no better, there is no more open door by which you can enter the study of natural philosophy, than by considering the physical phenomena of a candle.
A Course of Six Lectures on the Chemical History of a Candle (1861), 13-4.
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I specifically paused to show that, if there were such machines with the organs and shape of a monkey or of some other non-rational animal, we would have no way of discovering that they are not the same as these animals. But if there were machines that resembled our bodies and if they imitated our actions as much as is morally possible, we would always have two very certain means for recognizing that, none the less, they are not genuinely human. The first is that they would never be able to use speech, or other signs composed by themselves, as we do to express our thoughts to others. For one could easily conceive of a machine that is made in such a way that it utters words, and even that it would utter some words in response to physical actions that cause a change in its organs—for example, if someone touched it in a particular place, it would ask what one wishes to say to it, or if it were touched somewhere else, it would cry out that it was being hurt, and so on. But it could not arrange words in different ways to reply to the meaning of everything that is said in its presence, as even the most unintelligent human beings can do. The second means is that, even if they did many things as well as or, possibly, better than anyone of us, they would infallibly fail in others. Thus one would discover that they did not act on the basis of knowledge, but merely as a result of the disposition of their organs. For whereas reason is a universal instrument that can be used in all kinds of situations, these organs need a specific disposition for every particular action.
Discourse on Method in Discourse on Method and Related Writings (1637), trans. Desmond M. Clarke, Penguin edition (1999), Part 5, 40.
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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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I’ve learned that every day you should reach out and touch someone. People love a warm hug, or just a friendly pat on the back.
Ninth stanza of poem 'On Turning 70'. The poem is printed in Michigan Office of Services to the Aging, Annual Report 2004 (2005), no page number.
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Ideas are like stars: You will not succeed in touching them with your hands, but like the seafaring man on the ocean desert of waters, you choose them as your guides, and following them, you reach your destiny.
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If I were entering adulthood now instead of in the environment of fifty years ago, I would choose a career that kept me in touch with nature more than science. … Too few natural areas remain; both by intent and by indifference we have insulated ourselves from the wilderness that produced us.
In 'The Wisdom of Wilderness', Life (22 Dec 1967), 63, No. 25, 10.
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If it were customary to send daughters to school like sons, and if they were then taught the natural sciences, they would learn as thoroughly and understand the subtleties of all the arts and sciences as well as sons. And by chance there happen to be such women, for, as I touched on before, just as women have more delicate bodies than men, weaker and less able to perform many tasks, so do they have minds that are freer and sharper whenever they apply themselves.
The Book of the City of Ladies (1405), part 1, section 27. Trans. Earl Jeffrey Richards (1982), 63.
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In every case the awakening touch has been the mathematical spirit, the attempt to count, to measure, or to calculate. What to the poet or the seer may appear to be the very death of all his poetry and all his visions—the cold touch of the calculating mind,—this has proved to be the spell by which knowledge has been born, by which new sciences have been created, and hundreds of definite problems put before the minds and into the hands of diligent students. It is the geometrical figure, the dry algebraical formula, which transforms the vague reasoning of the philosopher into a tangible and manageable conception; which represents, though it does not fully describe, which corresponds to, though it does not explain, the things and processes of nature: this clothes the fruitful, but otherwise indefinite, ideas in such a form that the strict logical methods of thought can be applied, that the human mind can in its inner chamber evolve a train of reasoning the result of which corresponds to the phenomena of the outer world.
In A History of European Thought in the Nineteenth Century (1896), Vol. 1, 314.
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In my work on Fossil Bones, I set myself the task of recognizing to which animals the fossilized remains which fill the surface strata of the earth belong. ... As a new sort of antiquarian, I had to learn to restore these memorials to past upheavals and, at the same time, to decipher their meaning. I had to collect and put together in their original order the fragments which made up these animals, to reconstruct the ancient creatures to which these fragments belonged, to create them once more with their proportions and characteristics, and finally to compare them to those alive today on the surface of the earth. This was an almost unknown art, which assumed a science hardly touched upon up until now, that of the laws which govern the coexistence of forms of the various parts in organic beings.
Discours sur les révolutions du globe, (Discourse on the Revolutions of the Surface of the Globe), originally the introduction to Recherches sur les ossemens fossiles des quadrupèdes (1812). Translated by Ian Johnston from the 1825 edition. Online at Vancouver Island University website.
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In rivers, the water that you touch is the last of what has passed and the first of that which comes; so with present time.
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In school we had a name for guys trying to get in touch with themselves.
Quoted, without source, in Des MacHale, Wit (1999, 2003), 36.
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In the human body the central point is naturally the navel. For if a man be placed flat on his back, with his hands and feet extended, and a pair of compasses centered at his navel, the fingers and toes of his two hands and feet will touch the circumference of a circle described therefrom.
Vitruvius
Leonardo da Vinci’s depiction of a man with outstretched limbs inscribed in a circle is thus called the Vitruvian Man (c. 1490). In De Architectura, Book 3, Chap 1, Sec. 3. As translated in Morris Hicky Morgan (trans.), Vitruvius: The Ten Books on Architecture (1914), 73.
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It is agreed that all sound which is the material of music is of three sorts. First is harmonica, which consists of vocal music; second is organica, which is formed from the breath; third is rhythmica, which receives its numbers from the beat of the fingers. For sound is produced either by the voice, coming through the throat; or by the breath, coming through the trumpet or tibia, for example; or by touch, as in the case of the cithara or anything else that gives a tuneful sound on being struck.
Etymologies [c.600], Book III, chapter 19, quoted in E. Grant (ed.), A Source Book in Medieval Science (1974), trans. E. Brehaut (1912), revised by E. Grant, 10.
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It is important for him who wants to discover not to confine himself to one chapter of science, but to keep in touch with various others.
In An Essay on the Psychology of Invention in the Mathematical Field (1954), 54.
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It is impossible for us, who live in the latter ages of the world, to make observations in criticism, morality, or in any art or science, which have not been touched upon by others. We have little else left us but to represent the common sense of mankind in more strong, more beautiful, or more uncommon lights.
Spectator, No. 253. In Samuel Austin Allibone, Prose Quotations from Socrates to Macaulay (1880), 60.
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It is not easy to name another Voyager or Traveller who has given more useful information to the world; to whom the Merchant and Mariner are so much indebted; or who has communicated his information in a more unembarrassed and intelligible manner. And this he has done in a style perfectly unassuming, equally free from affectation and from the most distant appearance of invention.
Describing Captain William Dampier in A Chronological History of the Voyages and Discoveries in the South Sea or Pacific Ocean: Vol. 4(1816), 486. [A similar quote found on the web is “It is not easy to name another sailor who has supplied such valuable information to the world; he had a passion for reporting exactly as he saw it, with a delicate and perfect style; he felt an unending curiosity that made his accounts have a unique delicate touch.” For this, Webmaster has so far not identified it in a primary source by Burney. Please contact if you know it. —Webmaster.]
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It is so hard for an evolutionary biologist to write about extinction caused by human stupidity ... Let me then float an unconventional plea, the inverse of the usual argument ... The extinction of Partula is unfair to Partula. That is the conventional argument, and I do not challenge its primacy. But we need a humanistic ecology as well, both for the practical reason that people will always touch people more than snails do or can, and for the moral reason that humans are legitimately the measure of all ethical questions–for these are our issues, not nature’s.
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It is through it [intuition] that the mathematical world remains in touch with the real world, and even if pure mathematics could do without it, we should still have to have recourse to it to fill up the gulf that separates the symbol from reality.
…...
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It is well known that the man who first made public the theory of irrationals perished in a shipwreck in order that the inexpressible and unimaginable should ever remain veiled. And so the guilty man, who fortuitously touched on and revealed this aspect of living things, was taken to the place where he began and there is for ever beaten by the waves.
Proclus
In scholium to Book X of Euclid t. V, 417 as quoted and cited in Ettore Carruccio and Isabel Quigly (trans.), Mathematics And Logic in History And in Contemporary Thought (1964), 27.
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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 may truly be said that the eye as much touches the most distant star as that my fingers touch the pen with which I write.
In Sir William Withey Gull and Theodore Dyke Acland (ed.), A Collection of the Published Writings of William Withey Gull (1896), xlviii.
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It’s important for students to be put in touch with real-world problems. The curriculum should include computer science. Mathematics should include statistics. The curriculums should really adjust.
From address at a conference on Google campus, co-hosted with Common Sense Media and the Joan Ganz Cooney Center at Sesame Workshop 'Breakthrough Learning in the Digital Age'. As quoted in Technology blog report by Dan Fost, 'Google co-founder Sergey Brin wants more computers in schools', Los Angeles Times (28 Oct 2009). On latimesblogs.latimes.com website. As quoted, without citation, in Can Akdeniz, Fast MBA (2014), 280.
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Learn to reverence night and to put away the vulgar fear of it, for, with the banishment of night from the experience of man, there vanishes as well a religious emotion, a poetic mood, which gives depth to the adventure of humanity. By day, space is one with the earth and with man - it is his sun that is shining, his clouds that are floating past; at night, space is his no more. When the great earth, abandoning day, rolls up the deeps of the heavens and the universe, a new door opens for the human spirit, and there are few so clownish that some awareness of the mystery of being does not touch them as they gaze. For a moment of night we have a glimpse of ourselves and of our world islanded in its stream of stars - pilgrims of mortality, voyaging between horizons across eternal seas of space and time. Fugitive though the instant be, the spirit of man is, during it, ennobled by a genuine moment of emotional dignity, and poetry makes its own both the human spirit and experience.
…...
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Leo Szilard’s Ten Commandments:
1. Recognize the connections of things and the laws of conduct of men, so that you may know what you are doing.
2. Let your acts be directed towards a worthy goal, but do not ask if they will reach it; they are to be models and examples, not means to an end.
3. Speak to all men as you do to yourself, with no concern for the effect you make, so that you do not shut them out from your world; lest in isolation the meaning of life slips out of sight and you lose the belief in the perfection of the creation.
4. Do not destroy what you cannot create.
5. Touch no dish, except that you are hungry.
6. Do not covet what you cannot have.
7. Do not lie without need.
8. Honor children. Listen reverently to their words and speak to them with infinite love.
9. Do your work for six years; but in the seventh, go into solitude or among strangers, so that the memory of your friends does not hinder you from being what you have become.
10. Lead your life with a gentle hand and be ready to leave whenever you are called.
Circulated by Mrs. Szilard in July 1964, in a letter to their friends (translated by Dr. Jacob Bronowski). As printed in Robert J. Levine, Ethics and Regulation of Clinical Research (1988), 431.
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Literature is made upon any occasion that a challenge is put to the legal apparatus by conscience in touch with humanity.
In Chicago: A City on the Make (1951, 1983), 81.
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Mathematical proofs, like diamonds, are hard and clear, and will be touched with nothing but strict reasoning.
In 'Mr Locke’s Reply to the Bishop of Worcester’s Answer to his Second Letter', collected in The Works of John Locke (1824), Vol. 3, 428.
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Metaphysical ghosts cannot be killed, because they cannot be touched; but they may be dispelled by dispelling the twilight in which shadows and solidities are easily confounded. The Vital Principle is an entity of this ghostly kind; and although the daylight has dissipated it, and positive Biology is no longer vexed with its visitations, it nevertheless reappears in another shape in the shadowy region of mystery which surrounds biological and all other questions.
The History of Philosophy from Thales to Comte (1867), lxxxiv.
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Mortal as I am, I know that I am born for a day. But when I follow at my pleasure the serried multitude of the stars in their circular course, my feet no longer touch the earth.
Ptolemy
…...
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Most of us have had moments in childhood when we touched the divine presence. We did not think it extraordinary because it wasn’t; it was just a beautiful moment filled with love. In those simple moments our hearts were alive, and we saw the poignant beauty of life vividly with wonder and appreciation.
David McArthur and Bruce McArthur
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Mr. Cayley, of whom it may be so truly said, whether the matter he takes in hand be great or small, "nihil tetigit quod non ornavit," …
In Philosophic Transactions of the Royal Society (1864), 17, 605. [“Nihil tetigit quod non ornavit” translates as “He touched nothing without embellishing it”. —Webmaster]
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My Volta is always busy. What an industrious scholar he is! When he is not paying visits to museums or learned men, he devotes himself to experiments. He touches, investigates, reflects, takes notes on everything. I regret to say that everywhere, inside the coach as on any desk, I am faced with his handkerchief, which he uses to wipe indifferently his hands, nose and instruments.
As translated and quoted in Giuliano Pancaldi, Volta: Science and Culture in the Age of Enlightenment (2005), 154.
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None of Darwin’s particular doctrines will necessarily endure the test of time and trial. Into the melting-pot must they go as often as any man of science deems it fitting. But Darwinism as the touch of nature that makes the whole world kin can hardly pass away.
Anthropology (1912), 11.
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Nothing ever built ... arose to touch the skies unless some man dreamed that it should, some man believed that it could, and some man willed that it must.
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Now, all causes of natural effects must be expressed by means of lines, angles and figures, for otherwise it is impossible to grasp their explanation. This is evident as follows. A natural agent multiplies its power from itself to the recipient, whether it acts on sense or on matter. This power is sometimes called species, sometimes a likeness, and it is the same thing whatever it may be called; and the agent sends the same power into sense and into matter, or into its own contrary, as heat sends the same thing into the sense of touch and into a cold body. For it does not act, by deliberation and choice, and therefore it acts in a single manner whatever it encounters, whether sense or something insensitive, whether something animate or inanimate. But the effects are diversified by the diversity of the recipient, for when this power is received by the senses, it produces an effect that is somehow spiritual and noble; on the other hand, when it is received by matter, it produces a material effect. Thus the sun produces different effects in different recipients by the same power, for it cakes mud and melts ice.
De Uneis, Angulis et Figuris seu Fractionibus Reflexionibus Radiorum (On Lines, Angles and Figures or On the Refraction and Reflection of Rays) [1230/31], trans. D. C. Lindberg, quoted in E. Grant (ed.), A Source Book in Medieval Science (1974), 385-6.
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Oh, I have slipped the surly bonds of earth
and danced the skies on laughter-silvered wings;
Sunward I’ve climbed, and joined the tumbling mirth
of sun-split clouds and done a hundred things
you have not dreamed of wheeled and soared and swung
high in the sunlit silence. Hovering there,
I’ve chased the shouting wind along, and flung
my eager craft through footless halls of air.
Up, up the long, delirious, burning blue
I’ve topped the windswept heights with easy grace
where never lark, or even eagle flew
and, while with silent, lifting mind I’ve trod
the high untrespassed sanctity of space,
put out my hand, and touched the face of God.
…...
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One looks back with appreciation to the brilliant teachers, but with gratitude to those who touched our human feelings. The curriculum is so much necessary raw material, but warmth is the vital element for the growing plant and for the soul of the child.
Carl Jung
From The Gifted Child collected in Collected Works (1954, 1971), Vol. 17, 144. Translated from 'Der Begabt', Psychologie und Erziehung (1946).
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One touch of Darwin makes the whole world kin.
A section title, in Back to Methuselah: A Metabiological Pentateuch (1921), lxiv.
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One touch of nature makes the whole world kin.
Ulysses speaking to Achilles, in Troilus and Cressida, Act 3, Scene 3, line 175. John Phin and Edward Dowden clarify to the true meaning of this quote in The Shakespeare Cyclopædia and New Glossary (1902), 183, writing that in ‘an article in the Galaxy for Feb., 1877, Grant White calls attention to its true meaning, which is: “There is one point on which all men are alike, one touch of human nature which shows the kindred of all mankind—that they slight familiar merit and prefer trivial novelty. ... [It is] one of the most cynical utterances of an undisputable moral truth, disparaging to the nature of all mankind, that ever came from Shakespeare's pen.” ’
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Perhaps the best reason for regarding mathematics as an art is not so much that it affords an outlet for creative activity as that it provides spiritual values. It puts man in touch with the highest aspirations and lofiest goals. It offers intellectual delight and the exultation of resolving the mysteries of the universe.
Mathematics: a Cultural Approach (1962), 671. Quoted in H. E. Hunter, The Divine Proportion (1970), 6.
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Plants are extraordinary. For instance ... if you pinch a leaf of a plant you set off electrical impulse. You can't touch a plant without setting off an electrical impulse ... There is no question that plants have all kinds of sensitivities. They do a lot of responding to an environment. They can do almost anything you can think of.
Quoted in George Ritzer and Barry Smart, Handbook of Social Theory, 532.
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Quietly, like a night bird, floating, soaring, wingless.
We glide from shore to shore, curving and falling
but not quite touching;
Earth: a distant memory seen in an instant of repose,
crescent shaped, ethereal, beautiful,
I wonder which part is home, but I know it doesn’t matter . . .
the bond is there in my mind and memory;
Earth: a small, bubbly balloon hanging delicately
in the nothingness of space.
…...
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Religions, in fact, like castles, sunsets and women, never reach their maximum of beauty until they are touched by decay.
…...
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Somewhere in the arrangement of this world there seems to be a great concern about giving us delight, which shows that, in the universe, over and above the meaning of matter and forces, there is a message conveyed through the magic touch of personality. ...
Is it merely because the rose is round and pink that it gives me more satisfaction than the gold which could buy me the necessities of life, or any number of slaves. ... Somehow we feel that through a rose the language of love reached our hearts.
The Religion of Man (1931), 102. Quoted in H. E. Hunter, The Divine Proportion (1970), 6.
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Stay your rude steps, or e’er your feet invade
The Muses’ haunts,ye sons of War and Trade!
Nor you, ye legion fiends of Church and Law,
Pollute these pages with unhallow’d paw!
Debased, corrupted, grovelling, and confin’d,
No definitions touch your senseless mind;
To you no Postulates prefer their claim,
No ardent Axioms your dull souls inflame;
For you no Tangents touch, no Angles meet,
No Circles join in osculation sweet!
From poem, with co-authors John Hookham Frere, George Canning and George Ellis, The Loves of the Triangles: A Mathematical and Philosophical Poem, Canto I, collected in Poetry of the Anti-Jacobin (1854), 124.
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Take an arrow, and hold it in flame for the space of ten pulses, and when it cometh forth you shall find those parts of the arrow which were on the outsides of the flame more burned, blacked, and turned almost to coal, whereas the midst of the flame will be as if the fire had scarce touched it. This is an instance of great consequence for the discovery of the nature of flame; and sheweth manifestly, that flame burneth more violently towards the sides than in the midst.
Observing, but not with the knowledge, that a flame burns at its outside in contact with air, and there is no combustion within the flame which is not mixed with air. In Sylva Sylvarum; or a Natural History in Ten Centuries (1627), Century 1, Experiment 32. Collected in The Works of Francis Bacon (1740), Vol 3, 9.
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Tell a man that there are 300 billion stars in the universe, and he’ll believe you. Tell him that a bench has wet paint upon it and he’ll have to touch it to be sure.
Anonymous
Occasionally seen attributed to Albert Einstein, but without citation, so it is most likely anonymous.
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Terrorist attacks can shake the foundations of our biggest buildings, but they cannot touch the foundation of America. These acts shatter steel, but they cannot dent the steel of American resolve.
Address to the US after hijack attacks on the US World Trade Centers and Pentagon, September 11, 2001
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The appearance of Professor Benjamin Peirce, whose long gray hair, straggling grizzled beard and unusually bright eyes sparkling under a soft felt hat, as he walked briskly but rather ungracefully across the college yard, fitted very well with the opinion current among us that we were looking upon a real live genius, who had a touch of the prophet in his make-up.
Writing as a Professor Emeritus at Harvard University, a former student of Peirce, in 'Benjamin Peirce: II. Reminiscences', The American Mathematical Monthly (Jan 1925), 32, No. 1, 5.
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The archaeologist is digging up, not things, but people. Unless the bits and pieces with which he deals be alive to him, unless he have himself the common touch, he had better seek out other disciplines for his exercise.
In Archaeology from the Earth (1954), Preface, v.
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The average English author [of mathematical texts] leaves one under the impression that he has made a bargain with his reader to put before him the truth, the greater part of the truth, and nothing but the truth; and that if he has put the facts of his subject into his book, however difficult it may be to unearth them, he has fulfilled his contract with his reader. This is a very much mistaken view, because effective teaching requires a great deal more than a bare recitation of facts, even if these are duly set forth in logical order—as in English books they often are not. The probable difficulties which will occur to the student, the objections which the intelligent student will naturally and necessarily raise to some statement of fact or theory—these things our authors seldom or never notice, and yet a recognition and anticipation of them by the author would be often of priceless value to the student. Again, a touch of humour (strange as the contention may seem) in mathematical works is not only possible with perfect propriety, but very helpful; and I could give instances of this even from the pure mathematics of Salmon and the physics of Clerk Maxwell.
In Perry, Teaching of Mathematics (1902), 59-61.
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The beauty of his better self lives on
In minds he touched with fire, in many an eye
He trained to Truth’s exact severity;
He was a teacher: why be grieved for him
Whose living word still stimulates the air?
[On Jean Louis Rodolphe Agassiz.] 'Ode on the Death of Agassiz' (1888). In The Poetical Works of James Russell Lowell (1978),381.
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The best and most beautiful things in the world cannot be seen or even touched. They must be felt with the heart.
…...
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The biologist can push it back to the original protist, and the chemist can push it back to the crystal, but none of them touch the real question of why or how the thing began at all. The astronomer goes back untold million of years and ends in gas and emptiness, and then the mathematician sweeps the whole cosmos into unreality and leaves one with mind as the only thing of which we have any immediate apprehension. Cogito ergo sum, ergo omnia esse videntur. All this bother, and we are no further than Descartes. Have you noticed that the astronomers and mathematicians are much the most cheerful people of the lot? I suppose that perpetually contemplating things on so vast a scale makes them feel either that it doesn’t matter a hoot anyway, or that anything so large and elaborate must have some sense in it somewhere.
As co-author with Robert Eustace, The Documents in the Case (1930), 72.
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The century after the Civil War was to be an Age of Revolution—of countless, little-noticed revolutions, which occurred not in the halls of legislatures or on battlefields or on the barricades but in homes and farms and factories and schools and stores, across the landscape and in the air—so little noticed because they came so swiftly, because they touched Americans everywhere and every day. Not merely the continent but human experience itself, the very meaning of community, of time and space, of present and future, was being revised again and again, a new democratic world was being invented and was being discovered by Americans wherever they lived.
In The Americans: The Democratic Experience (1973, 1974), ix.
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The chairs and tables around us which broadcast to us incessantly those signals which affect our sight and touch cannot in their nature be like unto the signals or to the sensations which the signals awake at the end of their journey.
Swarthmore Lecture (1929) at Friends’ House, London, printed in Science and the Unseen World (1929), 36.
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The discovery of an interaction among the four hemes made it obvious that they must be touching, but in science what is obvious is not necessarily true. When the structure of hemoglobin was finally solved, the hemes were found to lie in isolated pockets on the surface of the subunits. Without contact between them how could one of them sense whether the others had combined with oxygen? And how could as heterogeneous a collection of chemical agents as protons, chloride ions, carbon dioxide, and diphosphoglycerate influence the oxygen equilibrium curve in a similar way? It did not seem plausible that any of them could bind directly to the hemes or that all of them could bind at any other common site, although there again it turned out we were wrong. To add to the mystery, none of these agents affected the oxygen equilibrium of myoglobin or of isolated subunits of hemoglobin. We now know that all the cooperative effects disappear if the hemoglobin molecule is merely split in half, but this vital clue was missed. Like Agatha Christie, Nature kept it to the last to make the story more exciting. There are two ways out of an impasse in science: to experiment or to think. By temperament, perhaps, I experimented, whereas Jacques Monod thought.
From essay 'The Second Secret of Life', collected in I Wish I'd Made You Angry Earlier (1998), 263-5.
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The Earth reminded us of a Christmas tree ornament hanging in the blackness of space. As we got farther and farther away it diminished in size. Finally it shrank to the size of a marble, the most beautiful marble you can imagine. That beautiful, warm, living object looked so fragile, so delicate, that if you touched it with a finger it would crumble and fall apart. Seeing this has to change a man, has to make a man appreciate the creation of God and the love of God.
…...
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The exaggerated politeness touches on pride, because it keeps people at a distance.
From the original French, “La politesse exagérée touche à l’orgueil, parce qu’elle tient les gens à distance,” in Actes de l'Académie Nationale des Sciences, Belles-Lettres et Arts de Bordeaux (1872), 479. Translation by Webmaster using Google translate.
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The man who proportions the several parts of a mill, uses the same scientific principles [mechanics], as if he had the power of constructing an universe; but as he cannot give to matter that invisible agency, by which all the component parts of the immense machine of the universe have influence upon each other, and set in motional unison together without any apparent contact, and to which man has given the name of attraction, gravitation, and repulsion, he supplies the place of that agency by the humble imitation of teeth and cogs. All the parts of man’s microcosm must visibly touch.
In The Age of Reason: Being an Investigation of True and Fabulous Theology (27 Jan O.S. 1794), 42-43.
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The mathematician’s best work is art, a high and perfect art, as daring as the most secret dreams of imagination, clear, and limpid. Mathematical genius and artistic genius touch each other.
As quoted in Havelock Ellis, The Dance of Life (1923), 139.
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The mathematician’s best work is art, a high perfect art, as daring as the most secret dreams of imagination, clear and limpid. Mathematical genius and artistic genius touch one another.
As quoted, without citation, in Havelock Ellis, The Dance of Life (1923), 139.
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The Moon is a white strange world, great, white, soft-seeming globe in the night sky, and what she actually communicates to me across space I shall never fully know. But the Moon that pulls the tides, and the Moon that controls the menstrual periods of women, and the Moon that touches the lunatics, she is not the mere dead lump of the astronomist.... When we describe the Moon as dead, we are describing the deadness in ourselves. When we find space so hideously void, we are describing our own unbearable emptiness.
…...
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The orbits of certainties touch one another; but in the interstices there is room enough for error to go forth and prevail.
In The Maxims and Reflections of Goethe (1906), 187.
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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 Principle of Uncertainty is a bad name. In science or outside of it we are not uncertain; our knowledge is merely confined, within a certain tolerance. We should call it the Principle of Tolerance. And I propose that name in two senses: First, in the engineering sense, science has progressed, step by step, the most successful enterprise in the ascent of man, because it has understood that the exchange of information between man and nature, and man and man, can only take place with a certain tolerance. But second, I also use the word, passionately, about the real world. All knowledge, all information between human beings, can only be exchanged within a play of tolerance. And that is true whether the exchange is in science, or in literature, or in religion, or in politics, or in any form of thought that aspires to dogma. It’s a major tragedy of my lifetime and yours that scientists were refining, to the most exquisite precision, the Principle of Tolerance, and turning their backs on the fact that all around them, tolerance was crashing to the ground beyond repair. The Principle of Uncertainty or, in my phrase, the Principle of Tolerance, fixed once for all the realization that all knowledge is limited. It is an irony of history that at the very time when this was being worked out there should rise, under Hitler in Germany and other tyrants elsewhere, a counter-conception: a principle of monstrous certainty. When the future looks back on the 1930s it will think of them as a crucial confrontation of culture as I have been expounding it, the ascent of man, against the throwback to the despots’ belief that they have absolute certainty. It is said that science will dehumanize people and turn them into numbers. That is false: tragically false. Look for yourself. This is the concentration camp and crematorium at Auschwitz. This is where people were turned into numbers. Into this pond were flushed the ashes of four million people. And that was not done by gas. It was done by arrogance. It was done by dogma. It was done by ignorance. When people believe that they have absolute knowledge, with no test in reality this is how they behave. This is what men do when they aspire to the knowledge of gods. Science is a very human form of knowledge. We are always at the brink of the known; we always feel forward for what is to be hoped. Every judgment in science stands on the edge of error, and is personal. Science is a tribute to what we can know although we are fallible. In the end, the words were said by Oliver Cromwell: “I beseech you, in the bowels of Christ: Think it possible you may be mistaken.” We have to cure ourselves of the itch for absolute knowledge and power. We have to close the distance between the push-button order and the human act. We have to touch people. [Referring to Heisenberg’s Uncertainty Principle.]
'Knowledge or Certainty,' episode 11, The Ascent of Man (1972), BBC TV series.
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The products of the senses, especially those of sight, hearing, and touch, form the basis of all the higher thought processes. Hence the importance of developing accurate sense concepts. … The purpose of objective thinking is to enable the mind to think without the help of objects.
As quoted in William W. Speer, Primary Arithmetic (1896), 1.
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The really important questions in human life are hardly touched upon by psychologists. Do liars come to believe their own lies? Is pleasure the same as happiness? Is it better to have loved and lost than never to have loved, or not to be able to love?
In Science is a Sacred Cow (1950), 137.
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The science of alchemy I like very well. I like it not only for the profits it brings in melting metals, in decocting, preparing, extracting, and distilling herbs, roots; I like it also for the sake of the allegory and secret signification, which is exceedingly fine, touching the resurrection of the dead at the last day.
In The Table Talk (1569).
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The six thousand years of human history form but a portion of the geologic day that is passing over us: they do not extend into the yesterday of the globe, far less touch the myriads of ages spread out beyond.
My Schools and Schoolmasters, Or, The Story of my Education (1854), 441.
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The skein of human continuity must often become this tenuous across the centuries (hanging by a thread, in the old cliché), but the circle remains unbroken if I can touch the ink of Lavoisier’s own name, written by his own hand. A candle of light, nurtured by the oxygen of his greatest discovery, never burns out if we cherish the intellectual heritage of such unfractured filiation across the ages. We may also wish to contemplate the genuine physical thread of nucleic acid that ties each of us to the common bacterial ancestor of all living creatures, born on Lavoisier’s ancienne terre more than 3.5 billion years ago—and never since disrupted, not for one moment, not for one generation. Such a legacy must be worth preserving from all the guillotines of our folly.
From The Lying Stones of Marrakech (2000, 2011), 114, previously published in an article in Natural History Magazine. Gould was writing about tangibly having Lavoisier’s signature on proof plates bought at an auction. (The plates were made to accompany Lavoisier’s sole geological article of 1789.)
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The Spaniards plundered Peru for its gold, which the Inca aristocracy had collected as we might collect stamps, with the touch of Midas. Gold for greed, gold for splendor, gold for adornment, gold for reverence, gold for power, sacrificial gold, life-giving gold, gold for tenderness, barbaric gold, voluptuous gold.
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The study of economics does not seem to require any specialised gifts of an unusually high order. Is it not, intellectually regarded, a very easy subject compared with the higher branches of philosophy and pure science? Yet good, or even competent, economists are the rarest of birds. An easy subject, at which very few excel! The paradox finds its explanation, perhaps, in that the master-economist must possess a rare combination of gifts. He must reach a high standard in several different directions and must combine talents not often found together. He must be mathematician, historian, statesman, philosopher—in some degree. He must understand symbols and speak in words. He must contemplate the particular in terms of the general, and touch abstract and concrete in the same flight of thought. He must study the present in the light of the past for the purposes of the future. No part of man's nature or his institutions must lie entirely outside his regard. He must be purposeful and disinterested in a simultaneous mood; as aloof and incorruptible as an artist, yet sometimes as near the earth as a politician.
'Alfred Marshall: 1842-1924' (1924). In Geoffrey Keynes (ed.), Essays in Biography (1933), 170.
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The trained nurse has given nursing the human, or shall we say, the divine touch, and made the hospital desirable for patients with serious ailments regardless of their home advantages.
Collected Papers of the Mayo Clinic and Mayo Foundation (1913).
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The whole inherent pride of human nature revolts at the idea that the lord of the creation is to be treated like any other natural object. No sooner does the naturalist discover the resemblance of some higher mammals, such as the ape, to man, than there is a general outcry against the presumptuous audacity that ventures to touch man in his inmost sanctuary. The whole fraternity of philosophers, who have never seen monkeys except in zoological gardens, at once mount the high horse, and appeal to the mind, the soul, to reason, to consciousness, and to all the rest of the innate faculties of man, as they are refracted in their own philosophical prisms.
Carl Vogt
From Carl Vogt and James Hunt (ed.), Lectures on Man: His Place in Creation, and in the History of the Earth (1861), 10.
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The wisest man could ask no more of fate
Than to be simple, modest, manly, true,
Safe from the many, honored by the few;
Nothing to count in world, or church, or state,
But inwardly in secret to be great;
To feel mysterious nature ever new,
To touch, if not to grasp, her endless clue,
And learn by each discovery how to wait,
To widen knowledge and escape the praise;
Wisely to teach because more wise to learn;
To toil for science, not to draw men’s gate,
But for her love of self denial stern;
That such a man could spring from our decays
Fans the soul’s nobler faith until it burn.
Elegy to Dr. Leidy for introduction to the inauguration of the Joseph Leidy Memorial Lectureship. As published in 'The Joseph Leidy Lecture: Introduction by the Provost of the University of Pennsylvania', Science (30 May 1913), 37, No. 961, 809.
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The world is full of signals that we don’t perceive. Tiny creatures live in a different world of unfamiliar forces. Many animals of our scale greatly exceed our range of perception for sensations familiar to us ... What an imperceptive lot we are. Surrounded by so much, so fascinating and so real, that we do not see (hear, smell, touch, taste) in nature, yet so gullible and so seduced by claims for novel power that we mistake the tricks of mediocre magicians for glimpses of a psychic world beyond our ken. The paranormal may be a fantasy; it is certainly a haven for charlatans. But ‘parahuman’ powers of perception lie all about us in birds, bees, and bacteria.
…...
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There is a place with four suns in the sky—red, white, blue, and yellow; two of them are so close together that they touch, and star-stuff flows between them. I know of a world with a million moons. I know of a sun the size of the Earth—and made of diamond. There are atomic nuclei a few miles across which rotate thirty times a second. There are tiny grains between the stars, with the size and atomic composition of bacteria. There are stars leaving the Milky Way, and immense gas clouds falling into it. There are turbulent plasmas writhing with X- and gamma-rays and mighty stellar explosions. There are, perhaps, places which are outside our universe. The universe is vast and awesome, and for the first time we are becoming a part of it.
Opening paragraph, in 'Introduction' Planetary Exploration (1970), 15.
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There’s a touch of the priesthood in the academic world, a sense that a scholar should not be distracted by the mundane tasks of day-to-day living. I used to have great stretches of time to work. Now I have research thoughts while making peanut butter and jelly sandwiches. Sure it’s impossible to write down ideas while reading “Curious George” to a two-year-old. On the other hand, as my husband was leaving graduate school for his first job, his thesis advisor told him, “You may wonder how a professor gets any research done when one has to teach, advise students, serve on committees, referee papers, write letters of recommendation, interview prospective faculty. Well, I take long showers.”
In 'In Her Own Words: Six Mathematicians Comment on Their Lives and Careers: Susan Landau', Notices of the AMS (Sep 1991), 38, No. 7, 704.
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These rocks, these bones, these fossil forms and shells
Shall yet be touched with beauty and reveal
The secrets if the book of earth to man.
In The Book of Earth (1925), 157.
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They shall lay their hands on the sick, and they shall recover.
Recited by attending priest or bishop during ceremony for healing by Queen Anne's royal touch.
Anonymous
Book of Common prayer (1708).
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This world is but the vestibule of an immortal life. Every action of our lives touches on some chord that will vibrate in eternity.
Quoted in Kim Lim (ed.), 1,001 Pearls of Spiritual Wisdom: Words to Enrich, Inspire, and Guide Your Life (2014), 167
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Though the parallel is not complete, it is safe to say that science will never touch them unaided by its practical applications. Its wonders may be catalogued for purposes of education, they may be illustrated by arresting experiments, by numbers and magnitudes which startle or fatigue the imagination but they will form no familiar portion of the intellectual furniture of ordinary men unless they be connected, however remotely, with the conduct of ordinary life.
Decadence (1908), 53.
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Through seven figures come sensations for a man; there is hearing for sounds, sight for the visible, nostril for smell, tongue for pleasant or unpleasant tastes, mouth for speech, body for touch, passages outwards and inwards for hot or cold breath. Through these come knowledge or lack of it.
Regimen, in Hippocrates, trans. W. H. S. Jones (1931), Vol. 4, 261.
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To say that mind is a product or function of protoplasm, or of its molecular changes, is to use words to which we can attach no clear conception. You cannot have, in the whole, what does not exist in any of the parts; and those who argue thus should put forth a definite conception of matter, with clearly enunciated properties, and show, that the necessary result of a certain complex arrangement of the elements or atoms of that matter, will be the production of self-consciousness. There is no escape from this dilemma—either all matter is conscious, or consciousness is something distinct from matter, and in the latter case, its presence in material forms is a proof of the existence of conscious beings, outside of, and independent of, what we term matter. The foregoing considerations lead us to the very important conclusion, that matter is essentially force, and nothing but force; that matter, as popularly understood, does not exist, and is, in fact, philosophically inconceivable. When we touch matter, we only really experience sensations of resistance, implying repulsive force; and no other sense can give us such apparently solid proofs of the reality of matter, as touch does. This conclusion, if kept constantly present in the mind, will be found to have a most important bearing on almost every high scientific and philosophical problem, and especially on such as relate to our own conscious existence.
In 'The Limits of Natural Selection as Applied to Man', last chapter of Contributions to the Theory of Natural Selection (1870), 365-366.
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Touch a scientist and you touch a child.
In Los Angeles Times (9 Aug 1976). As cited in Bill Swainson (ed.) Encarta Book of Quotations (200), 131.
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Touch is the most fundamental sense. A baby experiences it, all over, before he is born and long before he learns to use sight, hearing, or taste, and no human ever ceases to need it.
In Time Enough for Love: The Lives of Lazarus Long (1973), 366.
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True rigor is productive, being distinguished in this from another rigor which is purely formal and tiresome, casting a shadow over the problems it touches.
From address to the section of Algebra and Analysis, International Congress of Arts and Sciences, St. Louis (22 Sep 1904), 'On the Development of Mathematical Analysis and its Relation to Certain Other Sciences,' as translated by M.W. Haskell in Bulletin of the American Mathematical Society (May 1905), 11, 417.
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Unconscious, perhaps, of the remote tendency of his own labours, he [Joseph Black] undermined that doctrine of material heat, which he seemed to support. For, by his advocacy of latent heat, he taught that its movements constantly battle, not only some of our senses, but all of them; and that, while our feelings make us believe that heat is lost, our intellect makes us believe that it is not lost. Here, we have apparent destructability, and real indestructibility. To assert that a body received heat without its temperature rising, was to make the understanding correct the touch, and defy its dictates. It was a bold and beautiful paradox, which required courage as well as insight to broach, and the reception of which marks an epoch in the human mind, because it was an immense step towards idealizing matter into force.
History of Civilization in England (1861), Vol. 2, 494.
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Until 1930 or thereabout biologists [using microscopes], in the situation of Astronomers and Astrophysicists, were permitted to see the objects of their interest, but not to touch them; the cell was as distant from us, as the stars and galaxies were from them.
Nobel Lecture, The Coming Age of the Cell, 12 Dec 1974
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Walking the streets of Tokyo with Hawking in his wheelchair ... I felt as if I were taking a walk through Galilee with Jesus Christ [as] crowds of Japanese silently streamed after us, stretching out their hands to touch Hawking's wheelchair. ... The crowds had streamed after Einstein [on Einstein's visit to Japan in 1922] as they streamed after Hawking seventy years later. ... They showed exquisite choice in their heroes. ... Somehow they understood that Einstein and Hawking were not just great scientists, but great human beings.
Foreward to Alice Calaprice, The Quotable Einstein (1996), xiii-xiv.
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We are always chasing after things that other companies won't touch. That is a big secret to our success.
[About Sony, 1998]
From a 1998 interview with The Associated Press, quoted in obituary, L.A. Times (24 Apr 2011).
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We are not very pleased when we are forced to accept a mathematical truth by virtue of a complicated chain of formal conclusions and computations, which we traverse blindly, link by link, feeling our way by touch. We want first an overview of the aim and of the road; we want to understand the idea of the proof, the deeper context.
Unterrichtsblätter für Mathematik und Naturwissenschaften (1932), 38, 177-188. As translated by Abe Shenitzer, in 'Part I. Topology and Abstract Algebra as Two Roads of Mathematical Comprehension', The American Mathematical Monthly (May 1995), 102, No. 7, 453.
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We divorced ourselves from the materials of the earth, the rock, the wood, the iron ore; we looked to new materials which were cooked in vats, long complex derivatives of urine which we called plastic. They had no odor of the living, ... their touch was alien to nature. ... [They proliferated] like the matastases of cancer cells.
The Idol and the Octopus: political writings (1968), 83 and 118.
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We do not ask what hope of gain makes a little bird warble, since we know that it takes delight in singing because it is for that very singing that the bird was made, so there is no need to ask why the human mind undertakes such toil in seeking out these secrets of the heavens. ... And just as other animals, and the human body, are sustained by food and drink, so the very spirit of Man, which is something distinct from Man, is nourished, is increased, and in a sense grows up on this diet of knowledge, and is more like the dead than the living if it is touched by no desire for these things.
Mysterium Cosmographicum. Translated by A. M. Duncan in The Secret of the Universe (1981), 55.
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We feel that even if all possible scientific questions be answered, the problems of life have still not been touched at all. Of course there is then no question left, and just this is the answer.
From the German, “Wir fühlen, dass selbst, wenn alle möglichen wissenschaftlichen Fragen beantwortet sind, unsere Lebensprobleme noch gar nicht berührt sind. Freilich bleibt dann eben keine Frage mehr; und eben dies ist die Antwort,” in Logisch-Philosophische Abhandlung (1921). German text with English translation in Tractatus Logico-Philosophicus (1922), 186-187.
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We were very privileged to leave on the Moon a plaque ... saying, ‘For all Mankind’. Perhaps in the third millennium a wayward stranger will read the plaque at Tranquility Base. We’ll let history mark that this was the age in which that became a fact. I was struck this morning in New York by a proudly waved but uncarefully scribbled sign. It said, ‘Through you we touched the Moon.’ It was our privilege today to touch America. I suspect perhaps the most warm, genuine feeling that all of us could receive came through the cheers and shouts and, most of all, the smiles of our fellow Americans. We hope and think that those people shared our belief that this is the beginning of a new era—the beginning of an era when man understands the universe around him, and the beginning of the era when man understands himself.
Acceptance speech (13 Aug 1969), upon receiving the Medal of Freedom as a member of the first manned moon-landing mission. In James R. Hansen, First Man: The Life of Neil A. Armstrong (2005), 569.
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We’re going to see public attitudes [on climate change] switch not in proportion to scientific findings or graphs, but in proportion to the stories they hear, the people they know whose lives have been touched by climate change or some environmental calamity. That’s what really changed public opinion.
From interview with Mark Tercek, 'Q&A With Ramez Naam: Dialogues on the Environment', Huffington Post (1 Jul 2013).
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What has been done is little—scarcely a beginning; yet it is much in comparison with the total blank of a century past. And our knowledge will, we are easily persuaded, appear in turn the merest ignorance to those who come after us. Yet it is not to be despised, since by it we reach up groping to touch the hem of the garment of the Most High.
In A Popular History of Astronomy During the Nineteenth Century (1893), 528. Also quoted in Carl Sagan, Broca's Brain (1986), 240.
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What makes it so hard to organize the environment sensibly is that everything we touch is hooked up to everything else.
Epigraph in Isaac Asimov’s Book of Science and Nature Quotations (1988), 64.
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What’s the best part of being a mathematician? I'm not a religious man, but it’s almost like being in touch with God when you’re thinking about mathematics. God is keeping secrets from us, and it’s fun to try to learn some of the secrets.
From interview with Donald J. Albers. In John H. Ewing and Frederick W. Gehring, Paul Halmos Celebrating 50 Years of Mathematics (1991), 21.
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When I came home not a single acre of Government, state, or private timberland was under systematic forest management anywhere on the most richly timbered of all continents. … When the Gay Nineties began, the common word for our forests was 'inexhaustible.' To waste timber was a virtue and not a crime. There would always be plenty of timber. … The lumbermen … regarded forest devastation as normal and second growth as a delusion of fools. … And as for sustained yield, no such idea had ever entered their heads. The few friends the forest had were spoken of, when they were spoken of at all, as impractical theorists, fanatics, or ‘denudatics,’ more or less touched in the head. What talk there was about forest protection was no more to the average American that the buzzing of a mosquito, and just about as irritating.
In Breaking New Ground (1947, 1998), 27.
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When I touch that flower, I am not merely touching that flower. I am touching infinity. That little flower existed long before there were human beings on this earth. It will continue to exist for thousands, yes millions of years to come.
As quoted from a first-person conversation with the author, in Glenn Clark, The Man Who Talked With the Flowers: The Intimate Life Story of Dr. George Washington Carver (1939), 39.
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When the face, the back of the hand, or another part of the body the sensitivity of which is not too weakened by touch is brought near an electrified conductor, there is felt the impression of a fresh breeze, of a light breath, or of a cobweb.
In biography article by Louis Dulieu, in Charles Coulston Gillispie, Dictionary of Scientific Biographt (1980), Vol. 2, 83.
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When we build, let us think that we build forever. Let it not be for present delight nor for present use alone. Let it be such work as our descendants will thank us for; and let us think, as we lay stone on stone, that a time is to come when those stones will be held sacred because our hands have touched them, and that men will say, as they look upon the labor and wrought substance of them, “See! This our father did for us.”
From Lectures on 'Architecture and Painting' (Nov 1853), delivered at Edinburgh, collected in The Seven Lamps of Architecture (May 1849, 1887), 172.
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With a tone control at a single touch
I can make Caruso sound like Hutch,
I never did care for music much—
It’s the high fidelity!
A parody of the hi-fi addict. From lyrics of 'Song of Reproduction', in the Michael Flanders and Donald Swann revue, At the Drop of a Hat (1959). As quoted in Steven D. Lubar, InfoCulture: The Smithsonian Book of Information Age Inventions (1993), 186. “Hutch” was the popularly used name of Leslie Hutchinson (1900-1969), one of the biggest London cabaret entertainers of the 1920s-30s.
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With NMR we don’t touch the cell at all. We can follow it through time, watch its development.
Describing the benefits of the newly developed nuclear magnetic resonance imaging microscope. As quoted in L. Davis, 'Seeing the Cell and Letting it Live', Science News (19 Jul 1986), 130, No. 3, 39. Reference to Letter, James B. Aguayo, et al.,'Nuclear Magnetic Resonance Imaging of a Single Cell', Nature (10 Jul 1986), 322, 190–191, which announced the first NMR images of a single cell.
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You have to dream. We all have to dream. Dreaming is okay. Imagine me teaching from space, all over the world, touching so many people’s lives. That’s a teacher’s dream!
From an interview during her training. As quoted in Danielle Kovacs, 'Christa McAuliffe: Biography', record for Christa Corrigan McAuliffe Papers, Archives and Special Collections, Henry Whittemore Library on Framingham State College website.
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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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- 40 -
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