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Today in Science History - Quickie Quiz
Who said: “I seem to have been only like a boy playing on the seashore, ... finding a smoother pebble or a prettier shell ... whilst the great ocean of truth lay all undiscovered before me.”
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Home > Category Index for Science Quotations > Category Index F > Category: Feel

Feel Quotes (167 quotes)

A Chinese tale tells of some men sent to harm a young girl who, upon seeing her beauty, become her protectors rather than her violators. That’s how I felt seeing the Earth for the first time. "I could not help but love and cherish her.
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A laboratory of natural history is a sanctuary where nothing profane should be tolerated. I feel less agony at improprieties in churches than in a scientific laboratory.
Lecture at a teaching laboratory on Penikese Island, Buzzard's Bay. Quoted from the lecture notes by David Starr Jordan, Science Sketches (1911), 147.
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A man reserves his true and deepest love not for the species of woman in whose company he finds himself electrified and enkindled, but for that one in whose company he may feel tenderly drowsy.
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A man who is convinced of the truth of his religion is indeed never tolerant. At the least, he is to feel pity for the adherent of another religion but usually it does not stop there. The faithful adherent of a religion will try first of all to convince those that believe in another religion and usually he goes on to hatred if he is not successful. However, hatred then leads to persecution when the might of the majority is behind it.
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A strange feeling of complete, almost solemn contentment suddenly overcame me when the descent module landed, rocked, and stilled. The weather was foul, but I smelled Earth, unspeakably sweet and intoxicating. And wind. Now utterly delightful; wind after long days in space.
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A week or so after I learned that I was to receive the Miller Award, our president, Marty Morton, phoned and asked me if I would utter a few words of scientific wisdom as a part of the ceremony. Unfortunately for me, and perhaps for you, I agreed to do so. In retrospect I fear that my response was a serious error, because I do not feel wise. I do not know whether to attribute my response to foolhardiness, to conceit, to an inordinate susceptibility to flattery, to stupidity, or to some combination of these unfortunate attributes all of which I have been told are recognizable in my personality. Personally, I tend to favor stupidity, because that is a condition over which I have little control.
Bartholomew, April 1993, unpublished remarks when receiving the Miller Award from the Cooper Ornithological Society.
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A world that did not lift a finger when Hitler was wiping out six million Jewish men, women, and children is now saying that the Jewish state of Israel will not survive if it does not come to terms with the Arabs. My feeling is that no one in this universe has the right and the competence to tell Israel what it has to do in order to survive. On the contrary, it is Israel that can tell us what to do. It can tell us that we shall not survive if we do not cultivate and celebrate courage, if we coddle traitors and deserters, bargain with terrorists, court enemies, and scorn friends.
In Before the Sabbath (1979), 6.
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Although I am a typical loner in daily life, my consciousness of belonging to the invisible community of those who strive for truth, beaut y, and justice has preserved me from feeling isolated.
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Among the scenes which are deeply impressed on my mind, none exceed in sublimity the primeval [tropical] forests, ... temples filled with the varied productions of the God of Nature. No one can stand in these solitudes unmoved, and not feel that there is more in man than the mere breath of his body.
In What Mr. Darwin Saw in His Voyage Round the World in the Ship “Beagle” 1879, 170.
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Are you aware that humanity is just a blip? Not even a blip. Just a fraction of a fraction of what the universe has been and will become? Talk about perspective. I figure I can’t feel so entirely stupid about saying what I said because, first of all, it’s true. And second of all, there will be no remnant of me or my stupidity. No fossil or geographical shift that can document, really, even the most important historical human beings, let alone my paltry admissions.
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As a little boy, I showed an abnormal aptitude for mathematics this gift played a horrible part in tussles with quinsy or scarlet fever, when I felt enormous spheres and huge numbers swell relentlessly in my aching brain.
In Speak, Memory: An Autobiography Revisited (1999), 2
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As the issues are greater than men ever sought to realize before, the recriminations will be fiercer and pride more desperately hurt. It may help to recall that many recognized before the bomb ever feel that the time had already come when we must learn to live in One World.
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But ... the working scientist ... is not consciously following any prescribed course of action, but feels complete freedom to utilize any method or device whatever which in the particular situation before him seems likely to yield the correct answer. ... No one standing on the outside can predict what the individual scientist will do or what method he will follow.
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Common to all these types is the anthropomorphic character of their conception of God. In general, only individuals of exceptional endowments, and exceptionally high-minded communities, rise to any considerable extent above this level. But there is a third stage of religious experience which belongs to all of them, even though it is rarely found in a pure form: I shall call it cosmic religious feeling. It is very difficult to elucidate this feeling to anyone who is entirely without it, especially as there is no anthropomorphic conception of God corresponding to it.
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Consciousness is an electrical phenomenon which arises from a state of being which we can feel.
In On Love & Psychological Exercises: With Some Aphorisms & Other Essays (1998), 54.
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Does the harmony the human intelligence thinks it discovers in nature exist outside of this intelligence? No, beyond doubt, a reality completely independent of the mind which conceives it, sees or feels it, is an impossibility.
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Each patient ought to feel somewhat the better after the physician’s visit, irrespective of the nature of the illness.
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Every consideration that did not relate to “what is best for the patient” was dismissed. This was Sir William [Gull]’s professional axiom. … But the carrying of it out not unfrequently involved him in difficulty, and led occasionally to his being misunderstood. … He would frequently refuse to repeat a visit or consultation on the ground that he wished the sufferer to feel that it was unnecessary.
In Memoir, as Editor, prefacing Sir William Withey Gull and Theodore Dyke Acland (ed.), A Collection of the Published Writings of William Withey Gull (1896), xviii.
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Every mathematician worthy of the name has experienced, if only rarely, the state of lucid exaltation in which one thought succeeds another as if miraculously… this feeling may last for hours at a time, even for days. Once you have experienced it, you are eager to repeat it but unable to do it at will, unless perhaps by dogged work….
In The Apprenticeship of a Mathematician (1992), 91.
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Every son of science feels a strong & disinterested desire of promoting it in every part of the earth.
In letter (3 Feb 1803) from Jefferson in Washington to Marc Auguste Pictet.
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Everything is like a purse—there may be money in it, and we can generally say by the feel of it whether there is or is not. Sometimes, however, we must turn it inside out before we can be quite sure whether there is anything in it or no. When I have turned a proposition inside out, put it to stand on its head, and shaken it, I have often been surprised to find how much came out of it.
Samuel Butler, Henry Festing Jones (ed.), The Note-Books of Samuel Butler (1917), 222.
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Everything that the human race has done and thought is concerned with the satisfaction of deeply felt needs and the assuagement of pain. One has to keep this constantly in mind if one wishes to understand spiritual movements and their development. Feeling and longing are the motive force behind all human endeavor and human creation, in however exalted a guise the latter may present themselves to us.
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Exits sun; enters moon.
This moon is never alone.
Stars are seen all around.
These twinklers do not make a sound.
The tiny ones shine from their place.
Mother moon watches with a smiling face.
Its light is soothing to the eyes.
Night’s darkness hides its face.
Cool and calm is its light.
Heat and sweat are never felt.
Some days, moon is not seen.
Makes kids wonder, where had it been?
Partial eclipse shades the moon.
In summers it does not arrive soon.
Beautiful is this milky ball.
It is the love of one and all.
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Farm animals feel pleasure and sadness, excitement and resentment, depression, fear, and pain. They are far more aware and intelligent than we ever imagined … They are individuals in their own right.
In preface contributed to Amy Hatkoff, The Inner World of Farm Animals (2009), 12-13.
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Feeling weightless… it’s so many things together. A feeling of pride, of healthy solitude, of dignified freedom from everything that’s dirty, sticky. You feel exquisitely comfortable . . . and you feel you have so much energy, such an urge to do things, such an ability to do things. And you work well, yes, you think well, without sweat, without difficulty as if the biblical curse in the sweat of thy face and in sorrow no longer exists, As if you’ve been born again.
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Few are those who see with their own eyes and feel with their own hearts.
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For the most part we humans live with the false impression of security and a feeling of being at home in a seemingly trustworthy physical and human environment. But when the expected course of everyday life is interrupted, we are like shipwrecked people on a miserable plank in the open sea, having forgotten where they came from and not knowing whither they are drifting. But once we fully accept this, life becomes easier and there is no longer any disappointment.
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Former arbiters of taste must have felt (as so many apostles of ‘traditional values’ and other highminded tags for restriction and conformity do today) that maintaining the social order required a concept of unalloyed heroism. Human beings so designated as role models had to embody all virtues of the paragon–which meant, of course, that they could not be described in their truly human and ineluctably faulted form.
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Fortunately science, like that nature to which it belongs, is neither limited by time nor by space. It belongs to the world, and is of no country and of no age. The more we know, the more we feel our ignorance; the more we feel how much remains unknown; and in philosophy, the sentiment of the Macedonian hero can never apply,– there are always new worlds to conquer.
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He who would know what geometry is, must venture boldly into its depths and learn to think and feel as a geometer. I believe that it is impossible to do this, and to study geometry as it admits of being studied and am conscious it can be taught, without finding the reason invigorated, the invention quickened, the sentiment of the orderly and beautiful awakened and enhanced, and reverence for truth, the foundation of all integrity of character, converted into a fixed principle of the mental and moral constitution, according to the old and expressive adage “abeunt studia in mores”.
In 'A probationary Lecture on Geometry, in Collected Mathematical Papers (1908), Vol. 2, 9. [The Latin phrase, “abeunt studia in mores” translates as “studies pass on into character”. —Webmaster]
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How can cosmic religious feeling be communicated from one person to another, if it can give rise to no definite notion of a God and no theology? In my view, it is the most important function of art and science to awaken this feeling and keep it alive in those who are receptive to it.
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I am of the decided opinion, that mathematical instruction must have for its first aim a deep penetration and complete command of abstract mathematical theory together with a clear insight into the structure of the system, and doubt not that the instruction which accomplishes this is valuable and interesting even if it neglects practical applications. If the instruction sharpens the understanding, if it arouses the scientific interest, whether mathematical or philosophical, if finally it calls into life an esthetic feeling for the beauty of a scientific edifice, the instruction will take on an ethical value as well, provided that with the interest it awakens also the impulse toward scientific activity. I contend, therefore, that even without reference to its applications mathematics in the high schools has a value equal to that of the other subjects of instruction.
In 'Ueber das Lehrziel im mathemalischen Unterricht der höheren Realanstalten', Jahresbericht der Deutschen Mathematiker Vereinigung, 2, 192. (The Annual Report of the German Mathematical Association. As translated in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-Book (1914), 73.
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I am quite aware that we have just now lightheartedly expelled in imagination many excellent men who are largely, perhaps chiefly, responsible for the buildings of the temple of science; and in many cases our angel would find it a pretty ticklish job to decide. But of one thing I feel sure: if the types we have just expelled were the only types there were, the temple would never have come to be, any more than a forest can grow which consists of nothing but creepers. For these people any sphere of human activity will do, if it comes to a point; whether they become engineers, officers, tradesmen, or scientists depends on circumstances.
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I dislike feeling at home when I am abroad
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I do feel that evolution is being controlled by some sort of divine engineer.
Quoted in Kim Lim (ed.), 1,001 Pearls of Spiritual Wisdom: Words to Enrich, Inspire, and Guide Your Life (2014), 38
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I do not intend to go deeply into the question how far mathematical studies, as the representatives of conscious logical reasoning, should take a more important place in school education. But it is, in reality, one of the questions of the day. In proportion as the range of science extends, its system and organization must be improved, and it must inevitably come about that individual students will find themselves compelled to go through a stricter course of training than grammar is in a position to supply. What strikes me in my own experience with students who pass from our classical schools to scientific and medical studies, is first, a certain laxity in the application of strictly universal laws. The grammatical rules, in which they have been exercised, are for the most part followed by long lists of exceptions; accordingly they are not in the habit of relying implicitly on the certainty of a legitimate deduction from a strictly universal law. Secondly, I find them for the most part too much inclined to trust to authority, even in cases where they might form an independent judgment. In fact, in philological studies, inasmuch as it is seldom possible to take in the whole of the premises at a glance, and inasmuch as the decision of disputed questions often depends on an aesthetic feeling for beauty of expression, or for the genius of the language, attainable only by long training, it must often happen that the student is referred to authorities even by the best teachers. Both faults are traceable to certain indolence and vagueness of thought, the sad effects of which are not confined to subsequent scientific studies. But certainly the best remedy for both is to be found in mathematics, where there is absolute certainty in the reasoning, and no authority is recognized but that of one’s own intelligence.
In 'On the Relation of Natural Science to Science in general', Popular Lectures on Scientific Subjects, translated by E. Atkinson (1900), 25-26.
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I feel more comfortable with gorillas than people. I can anticipate what a gorilla's going to do, and they're purely motivated.
Preferring the “silence of the forest” to the noise of a cocktail party while participating in a symposium, 'What We Can Learn About Humankind From the Apes' at Sweet Briar College campus. As quoted by Nan Robertson in 'Three Who Have Chosen a Life in the Wild', New York Times (1 May 1981), B36.
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I felt exactly how you would feel if you were getting ready to launch and knew you were sitting on top of two million parts—all built by the lowest bidder on a government contract.
His reply to the question, often asked, “When you were sitting in that capsule listening to the count-down, how did you feel?” From speech announcing his Senate retirement (20 Feb 1997). As recorded in 'A Genuine American Hero Says He'll Retire', Tributes Delivered in Congress: John Glenn (1998) in U.S. Government Printing Office, U.S. Congress: Senate, Vol 105, Issue 34, 52. (A similar reference to “the lowest bidder on a government contract” has also been attributed to Alan Shepard.)
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I gang my own gait and have never belonged to my country, my home, my friends, or even my immediate family, with my whole heart; in the face of all these ties I have never lost an obstinate sense of detachment, of the need for solitude–a feeling which increases with the years.
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I have found no better expression than ‘religious’ for confidence in the rational nature of reality, insofar as it is accessible to human reason. Whenever this feeling is absent, science degenerates into uninspired empiricism.
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I have lived much of my life among molecules. They are good company. I tell my students to try to know molecules, so well that when they have some question involving molecules, they can ask themselves, What would I do if I were that molecule? I tell them, Try to feel like a molecule; and if you work hard, who knows? Some day you may get to feel like a big molecule!
Nobel banquet speech (10 Dec 1967). In Ragnar Granit (ed.), Les Prix Nobel en 1967 (1968).
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I have no right to consider anything a work of art to which I cannot react emotionally; and I have no right to look for the essential quality in anything that I have not felt to be a work of art.
In Art (1913), 9.
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I have now reached the point where I may indicate briefly what to me constitutes the essence of the crisis of our time. It concerns the relationship of the individual to society. The individual has become more conscious than ever of his dependence upon society. But he does not experience this dependence as a positive asset, as an organic tie, as a protective force, but rather as a threat to his natural rights, or even to his economic existence. Moreover, his position in society is such that the egotistical drives of his make-up are constantly being accentuated, while his social drives, which are by nature weaker, progressively deteriorate. All human beings, whatever their position in society, are suffering from this process of deterioration. Unknowingly prisoners of their own egotism, they feel insecure, lonely, and deprived of the naive, simple, and unsophisticated enjoyment of life. Man can find meaning in life, short and perilous as it is, only through devoting himself to society.
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I have said that mathematics is the oldest of the sciences; a glance at its more recent history will show that it has the energy of perpetual youth. The output of contributions to the advance of the science during the last century and more has been so enormous that it is difficult to say whether pride in the greatness of achievement in this subject, or despair at his inability to cope with the multiplicity of its detailed developments, should be the dominant feeling of the mathematician. Few people outside of the small circle of mathematical specialists have any idea of the vast growth of mathematical literature. The Royal Society Catalogue contains a list of nearly thirty- nine thousand papers on subjects of Pure Mathematics alone, which have appeared in seven hundred serials during the nineteenth century. This represents only a portion of the total output, the very large number of treatises, dissertations, and monographs published during the century being omitted.
In Presidential Address British Association for the Advancement of Science, Sheffield, Section A, Nature (1 Sep 1910), 84, 285.
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I love to read the dedications of old books written in monarchies–for they invariably honor some (usually insignificant) knight or duke with fulsome words of sycophantic insincerity, praising him as the light of the universe (in hopes, no doubt, for a few ducats to support future work); this old practice makes me feel like such an honest and upright man, by comparison, when I put a positive spin, perhaps ever so slightly exaggerated, on a grant proposal.
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I never come across one of Laplace’s “Thus it plainly appears” without feeling sure that I have hours of hard work before me to fill up the chasm and find out and show how it plainly appears.
In Florian Cajori, Teaching and History of Mathematics in the United States (1896), 104.
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I raised the visor on my helmet cover and looked out to try to identify constellations. As I looked out into space, I was overwhelmed by the darkness. I felt the flesh crawl on my back and the hair rise on my neck.
In How Do You Go To The Bathroom In Space?: All the Answers to All the Questions You Have About Living in Space (1999), 118.
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I used to get so depressed about the environment. … But I feel much better since I joined my Environmental Grief Counseling Group, which is a wonderful New Age approach to gaining the personal serenity you need in a world of melting ice caps, shrinking rain forests, and toxic lakes.
In 'Stop Beaching, Think Positive', Mother Jones Magazine (Oct 1988), 14, No. 8, 8.
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If I feel unhappy, I do mathematics to become happy. If I am happy, I do mathematics to keep happy.
In P. Turán, 'The Work of Alfréd Rényi', Matematikai Lapok (1970), 21, 199-210.
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If I were a physician I would try my patients thus. I would wheel them to a window and let Nature feel their pulse. It will soon appear if their sensuous existence is sound. The sounds are but the throbbing of some pulse in me.
(26 Feb 1841). In Henry David Thoreau and Bradford Torrey (ed.), The Writings of Henry Thoreau: Journal: I: 1837-1846 (1906), 224.
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If many a man did not feel obliged to repeat what is untrue, because he has said it once, the world would have been quite different.
In The Maxims and Reflections of Goethe (1906), 196.
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If we work, it is less to obtain those positive results the common people think are our only interest, than to feel that aesthetic emotion and communicate it to those able to experience it.
From the original French, “Si nous travaillons, c’est moins pour obtenir ces résultats auxquels le vulgaire nous croit uniquement attachés, que pour ressentir cette émotion esthétique et la communiquer à ceux qui sont capables de l’éprouver,” quoted in Henri Poincaré,'Notice sur Halphen', Journal de l’École Polytechnique (1890), 60, 143, cited in Oeuvres de G.H. Halphen (1916), Vol. 1, xxiv. As translated in Armand Borel, 'On the Place of Mathematics in Culture', in Armand Borel: Œvres: Collected Papers (1983), Vol. 4, 421.
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If you do not feel equal to the headaches that psychiatry induces, you are in the wrong business. It is work - work the like of which I do not know.
The Psychiatric Interview (1954, 1970), 10.
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In human freedom in the philosophical sense I am definitely a disbeliever. Everybody acts not only under external compulsion but also in accordance with inner necessity. Schopenhauer’s saying, that ‘a man can do as he will, but not will as he will,’ has been an inspiration to me since my youth up, and a continual consolation and unfailing well-spring of patience in the face of the hardships of life, my own and others’. This feeling mercifully mitigates the sense of responsibility which so easily becomes paralysing, and it prevents us from taking ourselves and other people too seriously; it conduces to a view of life in which humour, above all, has its due place.
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In long intervals I have expressed an opinion on public issues whenever they appeared to be so bad and unfortunate that silence would have made me feel guilty of complicity.
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In the moonlight
While drinking homemade wine
My sorrow hung heavy
And my heart felt like lead.
The moon was golden yellow
The night soft and mellow.
There was a smell of jasmine
All around.
And I felt the weight of the world
Upon my shoulders.
I looked at the twinkling stars in the sky
So far and wide
Here’s to you
I lifted my wine
And my eyes looked upon the brilliance
Of the moon and stars
From afar...
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It has often been said that power corrupts. But it is perhaps equally important to realize that weakness, too, corrupts. Power corrupts the few, while weakness corrupts the many. Hatred, malice, rudeness, intolerance, and suspicion are the faults of weakness. The resentment of the weak does not spring from any injustice done to them but from the sense of inadequacy and impotence. We cannot win the weak by sharing our wealth with them. They feel our generosity as oppression. St. Vincent De Paul cautioned his disciples to deport themselves so that the poor “will forgive them the bread you give them.”
In 'The Awakening of Asia', The Ordeal of Change (1963), 12.
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It is easy to overlook this thought that life just is. As humans we are inclined to feel that life must have a point. We have plans and aspirations and desires. We want to take constant advantage of the intoxicating existence we’ve been endowed with. But what’s life to a lichen? Yet its impulse to exist, to be, is every bit as strong as ours-arguably even stronger. If I were told that I had to spend decades being a furry growth on a rock in the woods, I believe I would lose the will to go on. Lichens don’t. Like virtually all living things, they will suffer any hardship; endure any insult, for a moment’s additions existence. Life, in short just wants to be.
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It is not enough to teach man a specialty. Through it he may become a kind of useful machine, but not a harmoniously developed personality. It is essential that the student acquire an understanding of and a lively feeling for values. He must acquire a vivid sense of the beautiful and of the morally good. Otherwise he—with his specialized knowledge—more closely resembles a well-trained dog than a harmoniously developed person.
From interview with Benjamin Fine, 'Einstein Stresses Critical Thinking', New York Times (5 Oct 1952), 37.
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It is not failure but success that is forcing man off this earth. It is not sickness but the triumph of health... Our capacity to survive has expanded beyond the capacity of Earth to support us. The pains we are feeling are growing pains. We can solve growth problems in direct proportion to our capacity to find new worlds... If man stays on Earth, his extinction is sure even if he lasts till the sun expands and destroys him... It is no longer reasonable to assume that the meaning of life lies on this earth alone. If Earth is all there is for man, we are reaching the foreseeable end of man.
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It is not sufficient to see and to know the beauty of a work. We must feel and be affected by it.
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It is strange, but the longer I live the more I am governed by the feeling of Fatalism, or rather predestination. The feeling or free-will, said to be innate in man, fails me more and more. I feel so deeply that however much I may struggle, I cannot change fate one jot. I am now almost resigned. I work because I feel I am at the worst. I can neither wish nor hope for anything. You have no idea how indifferent I am to everything.
In Letter to Anna Carlotta, collected in Anna Charlotte Leffler, Sonya Kovalevsky: A Biography (1895), 133, as translated by A. De Furuhjelm and A.M. Clive Bayley.
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It is the individual only who is timeless. Societies, cultures, and civilizations - past and present - are often incomprehensible to outsiders, but the individual’s hunger, anxieties, dreams, and preoccupations have remained unchanged through the millennia. Thus, we are up against the paradox that the individual who is more complex, unpredictable, and mysterious than any communal entity is the one nearest to our understanding; so near that even the interval of millennia cannot weaken our feeling of kinshiIf in some manner the voice of an individual reaches us from the remotest distance of time, it is a timeless voice speaking about ourselves.
In Reflections on the Human Condition (1973), 97.
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It is therefore easy to see why the churches have always fought science and persecuted its devotees. On the other hand, I maintain that the cosmic religious feeling is the strongest and noblest motive for scientific research. Only those who realize the immense efforts and, above all, the devotion without which pioneer work in theoretical science cannot be achieved are able to grasp the strength of the emotion out of which alone such work, remote as it is from the immediate realities of life, can issue. What a deep conviction of the rationality of the universe and what a yearning to understand, were it but a feeble reflection of the mind revealed in this world, Kepler and Newton must have had to enable them to spend years of solitary labor in disentangling the principles of celestial mechanics! Those whose acquaintance with scientific research is derived chiefly from its practical results easily develop a completely false notion of the mentality of the men who, surrounded by a skeptical world, have shown the way to kindred spirits scattered wide through the world and through the centuries. Only one who has devoted his life to similar ends can have a vivid realization of what has inspired these men and given them the strength to remain true to their purpose in spite of countless failures. It is cosmic religious feeling that gives a man such strength. A contemporary has said, not unjustly, that in this materialistic age of ours the serious scientific workers are the only profoundly religious people.
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It suddenly struck me that that tiny pea, pretty and blue, was the Earth. I put up my thumb and shut one eye, and my thumb blotted out the planet Earth. I didn’t feel like a giant. I felt very, very small.
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It’s beyond imagination until you actually get up and see it and experience it and feel it.
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It’s like trying to describe what you feel when you’re standing on the rim of the Grand Canyon or remembering your first love or the birth of your child. You have to be there to really know what it’s like.
As quoted on the nmspacemuseum.org website of the New Mexico Museum of Space History.
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It’s not quite as exhilarating a feeling as orbiting the earth, but it’s close. In addition, it has an exotic, bizarre quality due entirely to the nature of the surface below. The earth from orbit is a delight - offering visual variety and an emotional feeling of belonging “down there.” Not so with this withered, sun-seared peach pit out of my window. There is no comfort to it; it is too stark and barren; its invitation is monotonous and meant for geologists only.
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Keep away from people who try to belittle your ambitions. Small people always do that, but the really great make you feel that you, too, can become great.
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Knowledge, feeling, and choice are essentially eternal and unchangeable and numerically one in all men, nay in all sensitive beings.
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Lavoisier was right in the deepest, almost holy, way. His passion harnessed feeling to the service of reason; another kind of passion was the price. Reason cannot save us and can even persecute us in the wrong hands; but we have no hope of salvation without reason. The world is too complex, too intransigent; we cannot bend it to our simple will.
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Like buried treasures, the outposts of the universe have beckoned to the adventurous from immemorial times. Princes and potentates, political or industrial, equally with men of science, have felt the lure of the uncharted seas of space, and through their provision of instrumental means the sphere of exploration has made new discoveries and brought back permanent additions to our knowledge of the heavens.
From article by Hale in Harper's Magazine, 156, (1928), 639-646, in which he urged building a 200-inch optical telescope. Cited in Kenneth R. Lang, Parting the Cosmic Veil (2006), 82 and 210. Also in George Ellery Hale, Signals From the Stars (1931), 1.
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Many times every day I think of taking off in that missile. I’ve tried a thousand times to visualize that moment, to anticipate how I’ll feel if I’m first, which I very much want to be. But whether I go first or go later. I approach it now with some awe, and I’m sure I’ll approach it with even more awe on my day. In spite of the fact that I will he very busy getting set and keeping tabs on all the instruments, there’s no question that I’ll need—and will have—all my confidence.
As he wrote in an article for Life (14 Sep 1959), 38.
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May not Music be described as the Mathematic of sense, Mathematic as Music of the reason? the soul of each the same! Thus the musician feels Mathematic, the mathematician thinks Music, Music the dream, Mathematic the working life each to receive its consummation from the other when the human intelligence, elevated to its perfect type, shall shine forth glorified in some future Mozart-Dirichlet or Beethoven-Gauss a union already not indistinctly foreshadowed in the genius and labours of a Helmholtz!
In paper read 7 Apr 1864, printed in 'Algebraical Researches Containing a Disquisition On Newton’s Rule for the Discovery of Imaginary Roots', Philosophical Transactions of the Royal Society of London (1865), 154, 613, footnote. Also in Collected Mathematical Papers, Vol. 2, 419.
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Mere infants of the universe, with no feel for infinity, no sense of place in time and space, we human beings have yet to comprehend the enormity of what we are doing: In a geological second, we are unraveling complexities it took eternity to create.
In Jacques Cousteau and Susan Schiefelbein, The Human, the Orchid, and the Octopus: Exploring and Conserving Our Natural World (2007), 107.
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Modern man is weighed down more by the burden of responsibility than by the burden of sin. We think him more a savior who shoulders our responsibilities than him who shoulders our sins. If instead of making decisions we have but to obey and do our duty, we feel it as a sort of salvation.
In The Passionate State of Mind (1955), 53.
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Most, if not all, of the great ideas of modern mathematics have had their origin in observation. Take, for instance, the arithmetical theory of forms, of which the foundation was laid in the diophantine theorems of Fermat, left without proof by their author, which resisted all efforts of the myriad-minded Euler to reduce to demonstration, and only yielded up their cause of being when turned over in the blow-pipe flame of Gauss’s transcendent genius; or the doctrine of double periodicity, which resulted from the observation of Jacobi of a purely analytical fact of transformation; or Legendre’s law of reciprocity; or Sturm’s theorem about the roots of equations, which, as he informed me with his own lips, stared him in the face in the midst of some mechanical investigations connected (if my memory serves me right) with the motion of compound pendulums; or Huyghen’s method of continued fractions, characterized by Lagrange as one of the principal discoveries of that great mathematician, and to which he appears to have been led by the construction of his Planetary Automaton; or the new algebra, speaking of which one of my predecessors (Mr. Spottiswoode) has said, not without just reason and authority, from this chair, “that it reaches out and indissolubly connects itself each year with fresh branches of mathematics, that the theory of equations has become almost new through it, algebraic geometry transfigured in its light, that the calculus of variations, molecular physics, and mechanics” (he might, if speaking at the present moment, go on to add the theory of elasticity and the development of the integral calculus) “have all felt its influence”.
In 'A Plea for the Mathematician', Nature, 1, 238 in Collected Mathematical Papers, Vol. 2, 655-56.
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My first view - a panorama of brilliant deep blue ocean, shot with shades of green and gray and white - was of atolls and clouds. Close to the window I could see that this Pacific scene in motion was rimmed by the great curved limb of the Earth. It had a thin halo of blue held close, and beyond, black space. I held my breath, but something was missing - I felt strangely unfulfilled. Here was a tremendous visual spectacle, but viewed in silence. There was no grand musical accompaniment; no triumphant, inspired sonata or symphony. Each one of us must write the music of this sphere for ourselves.
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No one can read the Gospels without feeling the actual presence of Jesus. His personality pulsates in every word. No myth is filled with such life.
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No one should feel at all offended or threatened by the obvious fact that we are not all born entirely blank, or entirely the same, in our mixture of the broad behavioral propensities defining what we call ‘temperament.’
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No one thinks of concealing the truth from a cardiac patient: there is nothing shameful about a heart attack. Cancer patients are lied to, not just because the disease is (or is thought to be) a death sentence, but because it is felt to be obscene—in the original meaning of that word: ill-omened, abominable, repugnant to the senses.
In Illness as a Metaphor (1978), 8,
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No video, no photographs, no verbal descriptions, no lectures can provide the enchantment that a few minutes out-of-doors can: watch a spider construct a web; observe a caterpillar systematically ravaging the edge of a leaf; close your eyes, cup your hands behind your ears, and listen to aspen leaves rustle or a stream muse about its pools and eddies. Nothing can replace plucking a cluster of pine needles and rolling them in your fingers to feel how they’re put together, or discovering that “sedges have edges and grasses are round,” The firsthand, right-and-left-brain experience of being in the out-of-doors involves all the senses including some we’ve forgotten about, like smelling water a mile away. No teacher, no student, can help but sense and absorb the larger ecological rhythms at work here, and the intertwining of intricate, varied and complex strands that characterize a rich, healthy natural world.
Into the Field: A Guide to Locally Focused Teaching
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Nobody, certainly, will deny that the idea of the existence of an omnipotent, just, and omnibeneficent personal God is able to accord man solace, help, and guidance; also, by virtue of its simplicity it is accessible to the most undeveloped mind. But, on the other hand, there are decisive weaknesses attached to this idea in its elf, which have been painfully felt since the beginning of history. That is, if this being is omnipotent, then every occurrence, including every human action, every human thought, and every human feeling and aspiration is also His work; how is it possible to think of holding men responsible for their deeds and thoughts before such an almighty Being? In giving out punishment and rewards He would to a certain extent be passing judgment on Himself. How can this be combined with the goodness and righteousness ascribed to Him?
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Nothing got him angrier than when people implied he was paranoid. It made him feel persecuted.
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Now, at Suiattle Pass, Brower was still talking about butterflies. He said he had raised them from time to time and had often watched them emerge from the chrysalis—first a crack in the case, then a feeler, and in an hour a butterfly. He said he had felt that he wanted to help, to speed them through the long and awkward procedure; and he had once tried. The butterflies came out with extended abdomens, and their wings were balled together like miniature clenched fists. Nothing happened. They sat there until they died. ‘I have never gotten over that,’ he said. ‘That kind of information is all over in the country, but it’s not in town.”
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Oddly enough, eccentrics are happier and healthier than conformists. A study of 1,000 people found that eccentrics visit a doctor an average of just once every eight years, while conformists go twice a year. Eccentrics apparently enjoy better health because they feel less pressured to follow society’s rules, said the researcher who did the study at Royal Edinburgh Hospital in Scotland.
Eccentrics (1995).Study results in SELF magazine - 1992 National Enquirer.
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On the way back [from the moon] we had an EVA [extra-vehicular activity, or spacewalk] I had a chance to look around while I was outside and Earth was off to the right, 180,000 miles away, a little thin sliver of blue and white like a new moon surrounded by this blackness of space. Back over my left shoulder was almost a full moon. I didn’t feel like I was a participant. It was like sitting in the last row of the balcony, looking down at all of that play going on down there. I had that insignificant feeling of the immensity of this, God’s creation.
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Once you have learned to fly your plane, it is far less fatiguing to fly than it is to drive a car. You don’t have to watch every second for cats, dogs, children, lights, road signs, ladies with baby carriages and citizens who drive out in the middle of the block against the lights... Nobody who has not been up in the sky on a glorious morning can possibly imagine the way a pilot feels in free heaven.
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One cannot escape the feeling that these mathematical formulas have an independent existence and an intelligence of their own, that they are wiser that we are, wiser even than their discoverers, that we get more out of them than was originally put into them.
Quoted, without citation, in Men of Mathematics (1937), Vol. 2, 16.
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One has a feeling that one has a kind of home in this timeless community of human beings that strive for truth ... I have always believed that Jesus meant by the Kingdom of God the small group scattered all through time of intellectually and ethically valuable people.
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One of the gladdest moments of human life, methinks, is the departure upon a distant journey into unknown lands. Shaking off with one mighty effort the fetters of habit, the leaden weight of routine, the cloak of many cares and the slavery of home, man feel once more happy.
In Zanzibar: City, Island, and Coast (1872), Vol. 1, 16.
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Our situation on this earth seems strange. Every one of us appears here involuntarily and uninvited for a short stay, without knowing the whys and the wherefore. In our daily lives we only feel that man is here for the sake of others, for those whom we love and for many other beings whose fate is connected with our own. I am often worried at the thought that my life is based to such a large extent on the work of my fellow human beings and I am aware of my great indebtedness to them.
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Ours is a golden age of minorities. At no time in the past have dissident minorities felt so much at home and had so much room to throw their weight around. They speak and act as if they were “the people,” and what they abominate most is the dissent of the majority.
In 'The Trend Toward Anarchy', In Our Time (1976), 52.
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Personally, I feel sorry for those who seem to measure their patriotism by how often and how viciously they can criticise our government.
As recorded in United States Congressional Serial Set (2000), 51.
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Progress is made by trial and failure; the failures are generally a hundred times more numerous than the successes; yet they are usually left unchronicled. The reason is that the investigator feels that even though he has failed in achieving an expected result, some other more fortunate experimenter may succeed, and it is unwise to discourage his attempts.
From 'Radium and its Products', Harper’s Magazine (Dec 1904), 110, No. 655, 52.
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Proofs are the last thing looked for by a truly religious mind which feels the imaginative fitness of its faith.
Interpretations of Poetry and Religion (1900), 95.
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Quite distinct from the theoretical question of the manner in which mathematics will rescue itself from the perils to which it is exposed by its own prolific nature is the practical problem of finding means of rendering available for the student the results which have been already accumulated, and making it possible for the learner to obtain some idea of the present state of the various departments of mathematics. … The great mass of mathematical literature will be always contained in Journals and Transactions, but there is no reason why it should not be rendered far more useful and accessible than at present by means of treatises or higher text-books. The whole science suffers from want of avenues of approach, and many beautiful branches of mathematics are regarded as difficult and technical merely because they are not easily accessible. … I feel very strongly that any introduction to a new subject written by a competent person confers a real benefit on the whole science. The number of excellent text-books of an elementary kind that are published in this country makes it all the more to be regretted that we have so few that are intended for the advanced student. As an example of the higher kind of text-book, the want of which is so badly felt in many subjects, I may mention the second part of Prof. Chrystal’s Algebra published last year, which in a small compass gives a great mass of valuable and fundamental knowledge that has hitherto been beyond the reach of an ordinary student, though in reality lying so close at hand. I may add that in any treatise or higher text-book it is always desirable that references to the original memoirs should be given, and, if possible, short historic notices also. I am sure that no subject loses more than mathematics by any attempt to dissociate it from its history.
In Presidential Address British Association for the Advancement of Science, Section A (1890), Nature, 42, 466.
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Reality is what kicks back when you kick it. This is just what physicists do with their particle accelerators. We kick reality and feel it kick back. From the intensity and duration of thousands of those kicks over many years, we have formed a coherent theory of matter and forces, called the standard model, that currently agrees with all observations.
In Has Science Found God?: The Latest Results in the Search for Purpose in the Universe (2003), 41.
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Rulers and generals muster their troops. Magnates muster the sums of money which give them power. The fascist dictators muster the irrational human reactions which make it possible for them to attain and maintain their power over the masses. The scientists muster knowledge and means of research. But, thus far, no organization fighting for freedom has ever mustered the biological arsenal where the weapons are to be found for the establishment and the maintenance of human freedom. All precision of our social existence notwithstanding, there is as yet no definition of the word freedom which would be in keeping with natural science. No word is more misused and misunderstood. To define freedom is the same as to define sexual health. But nobody will openly admit this. The advocacy of personal and social freedom is connected with anxiety and guilt feelings. As if to be free were a sin or at least not quite as it should be. Sex-economy makes this guilt feeling comprehensible: freedom without sexual self-determination is in itself a contradiction. But to be sexual means—according to the prevailing human structure—to be sinful or guilty. There are very few people who experience sexual love without guilt feeling. “Free love” has acquired a degrading meaning: it lost the meaning given it by the old fighters for freedom. In films and in books, to be genital and to be criminal are presented as the same thing.
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Science offends the modesty of all real women. It makes them feel as though it were an attempt to peek under their skin—or, worse yet, under their dress and ornamentation!
Sämtliche Werke: Kritische Studienausgabe, vol. 5, p. 95, eds. Giorgio Colli and Mazzino Montinari, Berlin, de Gruyter (1980). Beyond Good and Evil, 'Fourth Part: Maxims and Interludes,' section 127 (1886).
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Science offers us complete mastery over our environment and our own destiny, yet instead of rejoicing we feel deeply afraid. Why should this be?
From transcript of BBC radio Reith Lecture (12 Nov 1967), 'A Runaway World', on the bbc.co.uk website.
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Science … has the job, first of all, of enabling the inquiring mind to feel at home in a mysterious universe.
In Relativity Visualized (1981, 1985), 77.
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Some persons have contended that mathematics ought to be taught by making the illustrations obvious to the senses. Nothing can be more absurd or injurious: it ought to be our never-ceasing effort to make people think, not feel.
Seven Lectures on Shakespeare and Milton (1856) 24.
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Sometime in my early teens, I started feeling an inner urgency, ups and downs of excitement and frustration, caused by such unlikely occupations as reading Granville’s course of calculus ... I found this book in the attic of a friend’s apartment. Among other standard stuff, it contained the notorious epsilon-delta definition of continuous functions. After struggling with this definition for some time (it was the hot Crimean summer, and I was sitting in the shadow of a dusty apple tree), I got so angry that I dug a shallow grave for the book between the roots, buried it there, and left in disdain. Rain started in an hour. I ran back to the tree and exhumed the poor thing. Thus, I discovered that I loved it, regardless.
'Mathematics as Profession and vocation', in V. Arnold et al. (eds.), Mathematics: Frontiers and Perspectives (2000), 153. Reprinted in Mathematics as Metaphor: Selected Essays of Yuri I. Manin (2007), 79.
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Sometimes I doubt whether there is divine justice; all parts of the human body get tired eventually—except the tongue. And I feel this is unjust.
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Standing now in diffused light, with the wind at my back, I experience suddenly a feeling of completeness–not a feeling of having achieved something or of being stronger than everyone who was ever here before, not a feeling of having arrived at the ultimate point, not a feeling of supremacy. Just a breath of happiness deep inside my mind and my breast. The summit seemed suddenly to me to be a refuge, and I had not expected to find any refuge up here. Looking at the steep, sharp ridges below us, I have the impression that to have come later would have been too late. Everything we now say to one another, we only say out of embarrassment. I don’t think anymore. As I pull the tape recorder, trancelike, from my rucksack, and switch it on wanting to record a few appropriate phrases, tears again well into my eyes. “Now we are on the summit of Everest,” I begin, “it is so cold that we cannot take photographs…” I cannot go on, I am immediately shaken with sobs. I can neither talk nor think, feeling only how this momentous experience changes everything. To reach only a few meters below the summit would have required the same amount of effort, the same anxiety and burden of sorrow, but a feeling like this, an eruption of feeling, is only possible on the summit itself.
In Everest: Expedition to the Ultimate (1979), 180.
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Stones grow, plants grow, and live, animals grow live and feel.
Philosophia Botanica (1751), Introduction 1-4. Trans. Frans A. Statleu, Linnaeus and the Linnaeans: The Spreading of their Ideas in Systematic Botany, 1735-1789 (1971), 33.
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Taking … the mathematical faculty, probably fewer than one in a hundred really possess it, the great bulk of the population having no natural ability for the study, or feeling the slightest interest in it*. And if we attempt to measure the amount of variation in the faculty itself between a first-class mathematician and the ordinary run of people who find any kind of calculation confusing and altogether devoid of interest, it is probable that the former could not be estimated at less than a hundred times the latter, and perhaps a thousand times would more nearly measure the difference between them.
[* This is the estimate furnished me by two mathematical masters in one of our great public schools of the proportion of boys who have any special taste or capacity for mathematical studies. Many more, of course, can be drilled into a fair knowledge of elementary mathematics, but only this small proportion possess the natural faculty which renders it possible for them ever to rank high as mathematicians, to take any pleasure in it, or to do any original mathematical work.]
In Darwinism, chap. 15.
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That night I lie out under the stars again. The Pleiades are there winking at me. I am no longer on my way from one place to another. I have changed lives. My life now is as black and white as night and day; a life of fierce struggle under the sun, and peaceful reflection under the night sky. I feel as though I am floating on a raft far, far away from any world I ever knew.
Ted Simon
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The aid which we feel impelled to give to the helpless is mainly an incidental result of the instinct of sympathy, which was originally acquired as part of the social instincts, but subsequently rendered, in the manner previously indicated, more tender and more widely diffused. Nor could we check our sympathy, even at the urging of hard reason, without deterioration in the noblest part of our nature.
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The apex of mathematical achievement occurs when two or more fields which were thought to be entirely unrelated turn out to be closely intertwined. Mathematicians have never decided whether they should feel excited or upset by such events.
In 'A Mathematician's Gossip', Indiscrete Thoughts (2008), 214.
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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 big political doings of our time are so disheartening that in our generation one feels quite alone. It is as if people had lost the passion for justice and dignity and no longer treasure what better generations have won by extraordinary sacrifices.
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The complexity of contemporary biology has led to an extreme specialization, which has inevitably been followed by a breakdown in communication between disciplines. Partly as a result of this, the members of each specialty tend to feel that their own work is fundamental and that the work of other groups, although sometimes technically ingenious, is trivial or at best only peripheral to an understanding of truly basic problems and issues. There is a familiar resolution to this problem but it is sometimes difficulty to accept emotionally. This is the idea that there are a number of levels of biological integration and that each level offers problems and insights that are unique to it; further, that each level finds its explanations of mechanism in the levels below, and its significances in the levels above it.
From 'Interaction of physiology and behavior under natural conditions', collected in R.I. Bowman (ed.), The Galapagos (1966), 39.
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The dog writhing in the gutter, its back broken by a passing car, knows what it is to be alive. So too with the aged elk of the far north woods, slowly dying in the bitter cold of winter. The asphalt upon which the dog lies knows no pain. The snow upon which the elk has collapsed knows not the cold. But living beings do. … Are you conscious? Then you can feel more pain. … Perhaps we even suffer more than the dumb animals.
In The Symbiotic Universe: Life and Mind in the Cosmos (1988), 194-195. As quoted and cited in Robert E. Zinser, The Fascinated God: What Science Says to Faith and Faith to Scientists (2003), 521.
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The earth itself assures us it is a living entity. Deep below surface one can hear its slow pulse, feel its vibrant rhythm. The great breathing mountains expand and contract. The vast sage desert undulates with almost imperceptible tides like the oceans. From the very beginning, throughout all its cataclysmic upthrusts and deep sea submergences, the planet Earth seems to have maintained an ordered rhythm.
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The excitement that a gambler feels when making a bet is equal to the amount he might win times the probability of winning it.
Anonymous
As quoted, without citation, in Nicholas J. Rose Mathematical Maxims and Minims (1988). Rose attributes the quote to Blaise Pascal, but Webmaster has, so far, found nothing like it by Pascal. Can you help? [Present opinion: This quote does not ring true for Pascal —Webmaster.]
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The eye is the window of the human body through which it feels its way and enjoys the beauty of the world.
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The fact is that up to now the free society has not been good for the intellectual. It has neither accorded him a superior status to sustain his confidence nor made it easy for him to acquire an unquestioned sense of social usefulness. For he derives his sense of usefulness mainly from directing, instructing, and planning-from minding other people’s business-and is bound to feel superfluous and neglected where people believe themselves competent to manage individual and communal affairs, and are impatient of supervision and regulation. A free society is as much a threat to the intellectual’s sense of worth as an automated economy is to the workingman’s sense of worth. Any social order that can function with a minimum of leadership will be anathema to the intellectual.
In 'Concerning Individual Freedom', The Ordeal of Change (1963), 141.
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The fascination of any search after truth lies not in the attainment, which at best is found to be very relative, but in the pursuit, where all the powers of the mind and character are brought into play and are absorbed by the task. One feels oneself in contact with something that is infinite and one finds joy that is beyond expression in sounding the abyss of science and the secrets of the infinite mind.
In Isabel Fothergill Smith, The Stone Lady: a Memoir of Florence Bascom (1981). Cited in Earth Sciences History: Journal of the History of the Earth Sciences Society (992), Vols. 11-12, 39.
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The final results [of work on the theory of relativity] appear almost simple; any intelligent undergraduate can understand them without much trouble. But the years of searching in the dark for a truth that one feels, but cannot express; the intense effort and the alternations of confidence and misgiving, until one breaks through to clarity and understanding, are only known to him who has himself experienced them.
Concluding remark of George Gibson lecture at the University of Glasgow, 'The Origins of the General Theory of Relativity', (20 Jun 1933). Published by Glasgow University as The Origins of the General Theory of Relativity: Being the First Lecture on the George A. Gibson Foundation in the University of Glasgow, Delivered on June 20th, 1933 (1933), 11. Also quoted in 'No Hitching Posts' The Atlantic (1936), 157, 251.
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The great art of life is sensation, to feel that we exist, even in pain.
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The great mathematician, like the great poet or naturalist or great administrator, is born. My contention shall be that where the mathematic endowment is found, there will usually be found associated with it, as essential implications in it, other endowments in generous measure, and that the appeal of the science is to the whole mind, direct no doubt to the central powers of thought, but indirectly through sympathy of all, rousing, enlarging, developing, emancipating all, so that the faculties of will, of intellect and feeling learn to respond, each in its appropriate order and degree, like the parts of an orchestra to the “urge and ardor” of its leader and lord.
In Lectures on Science, Philosophy and Art (1908), 22.
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The history of this country was made largely by people who wanted to be left alone. Those who could not thrive when left to themselves never felt at ease in America.
In Reflections on the Human Condition (1973), 34.
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The human heart feels things the eyes cannot see, and knows what the mind cannot understand.
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The increase of disorder or entropy with time is one example of what is called an arrow of time something that gives a direction to time and distinguishes the past from the future. There are at least three different directions of time. First, there is the thermodynamic arrow of time—the direction of time in which disorder or entropy increases. Second, there is the psychological arrow of time. This is the direction in which we feel time passes—the direction of time in which we remember the past, but not the future. Third, there is the cosmological arrow of time. This is the direction of time in which the universe is expanding rather than contracting.
In 'The Direction of Time', New Scientist (9 Jul 1987), 46.
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The individual feels the futility of human desires and aims and the sublimity and marvelous order which reveal themselves both in nature and in the world of thought. Individual existence impresses him as a sort of prison and he wants to experience the universe as a single significant whole. The beginnings of cosmic religious feeling already appear at an early stage of development, e.g., in many of the Psalms of David and in some of the Prophets. Buddhism, as we have learned especially from the wonderful writings of Schopenhauer, contains a much stronger element of this. The religious geniuses of all ages have been distinguished by this kind of religious feeling, which knows no dogma and no God conceived in man’s image; so that there can be no church whose central teachings are based on it. Hence it is precisely among the heretics of every age that we find men who were filled with this highest kind of religious feeling and were in many cases regarded by their contemporaries as atheists, sometimes also as saints. Looked at in this light, men like Democritus, Francis of Assisi, and Spinoza are closely akin to one another.
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The most beautiful things in the universe are the starry heavens above us and the feeling of duty within us.
Indian Proverb
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The opinion of Bacon on this subject [geometry] was diametrically opposed to that of the ancient philosophers. He valued geometry chiefly, if not solely, on account of those uses, which to Plato appeared so base. And it is remarkable that the longer Bacon lived the stronger this feeling became. When in 1605 he wrote the two books on the Advancement of Learning, he dwelt on the advantages which mankind derived from mixed mathematics; but he at the same time admitted that the beneficial effect produced by mathematical study on the intellect, though a collateral advantage, was “no less worthy than that which was principal and intended.” But it is evident that his views underwent a change. When near twenty years later, he published the De Augmentis, which is the Treatise on the Advancement of Learning, greatly expanded and carefully corrected, he made important alterations in the part which related to mathematics. He condemned with severity the pretensions of the mathematicians, “delidas et faslum mathematicorum.” Assuming the well-being of the human race to be the end of knowledge, he pronounced that mathematical science could claim no higher rank than that of an appendage or an auxiliary to other sciences. Mathematical science, he says, is the handmaid of natural philosophy; she ought to demean herself as such; and he declares that he cannot conceive by what ill chance it has happened that she presumes to claim precedence over her mistress.
In 'Lord Bacon', Edinburgh Review (Jul 1837). Collected in Critical and Miscellaneous Essays: Contributed to the Edinburgh Review (1857), Vol. 1, 395.
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The persons who have been employed on these problems of applying the properties of matter and the laws of motion to the explanation of the phenomena of the world, and who have brought to them the high and admirable qualities which such an office requires, have justly excited in a very eminent degree the admiration which mankind feels for great intellectual powers. Their names occupy a distinguished place in literary history; and probably there are no scientific reputations of the last century higher, and none more merited, than those earned by great mathematicians who have laboured with such wonderful success in unfolding the mechanism of the heavens; such for instance as D ’Alembert, Clairaut, Euler, Lagrange, Laplace.
In Astronomy and General Physics (1833), Bk. 3, chap. 4, 327.
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The really valuable thing in the pageant of human life seems to me not the State but the creative, sentient individual, the personality; it alone creates the noble and the sublime, while the herd as such remains dull in thought and dull in feeling.
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The reason I love the sea I cannot explain - it’s physical. When you dive you begin to feel like an angel. It’s a liberation of your weight.
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The root of the matter the thing I mean is love, Christian love, or compassion. If you feel this, you have a motive for existence, a guide for action, a reason for courage, an imperative necessity for intellectual honesty.
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The sky seems to be a pure, a cooler blue, the trees a deeper green. The whole world is charged with the glory of God and I feel fire and music under my feet.
On reading the scriptures. Quoted in Kim Lim (ed.), 1,001 Pearls of Spiritual Wisdom: Words to Enrich, Inspire, and Guide Your Life (2014), 166
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The soft minded man always fears change. He feels security in the status quo and he has an almost morbid fear of the new. For him, the greatest pain is the pain of a new idea.
In Strength to Love (1963, 1977), 15. Compare the earlier quote by Walter Bagehot, “One of the greatest pains to human nature is the pain of a new idea,” in 'The Age of Discussion', Physics and Politics (1869, 1916), 163.
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The story of a theory’s failure often strikes readers as sad and unsatisfying. Since science thrives on self-correction, we who practice this most challenging of human arts do not share such a feeling. We may be unhappy if a favored hypothesis loses or chagrined if theories that we proposed prove inadequate. But refutation almost always contains positive lessons that overwhelm disappointment, even when no new and comprehensive theory has yet filled the void.
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The student of mathematics often finds it hard to throw off the uncomfortable feeling that his science, in the person of his pencil, surpasses him in intelligence,—an impression which the great Euler confessed he often could not get rid of. This feeling finds a sort of justification when we reflect that the majority of the ideas we deal with were conceived by others, often centuries ago. In a great measure it is really the intelligence of other people that confronts us in science.
In Popular Scientific Lectures (1910), 196.
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The theory of probabilities is at bottom only common sense reduced to calculation; it makes us appreciate with exactitude what reasonable minds feel by a sort of instinct, often without being able to account for it. … It is remarkable that [this] science, which originated in the consideration of games of chance, should have become the most important object of human knowledge.
From A Philosophical Essay on Probabilities. As given in epigraph, E.T. Bell, Men of Mathematics (2014), 71.
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The true man of science will know nature better by his finer organization; he will smell, taste, see, hear, feel, better than other men. His will be a deeper and finer experience.
In 'Natural history of Massachusetts', The Dial: A Magazine for Literature, Philosophy, and Religion (Jul 1842), 3, No. 1, 40.
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The truly wise ask what the thing is in itself and in relation to other things, and do not trouble themselves about the use of it,—in other words, about the way in which it may be applied to the necessities of existence and what is already known. This will soon be discovered by minds of a very different order—minds that feel the joy of living, and are keen, adroit, and practical.
In The Maxims and Reflections of Goethe (1906), 190.
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The ‘paradox’ is only a conflict between reality and your feeling of what reality ‘ought to be’.
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There are in this world optimists who feel that any symbol that starts off with an integral sign must necessarily denote something that will have every property that they should like an integral to possess. This of course is quite annoying to us rigorous mathematicians; what is even more annoying is that by doing so they often come up with the right answer.
In 'Integrals Devised for Special Purposes', Bulletin of the American Mathematical Society (1963), 69, 611.
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There is no fundamental difference between man and the higher animals in their mental faculties ... The lower animals, like man, manifestly feel pleasure and pain, happiness, and misery.
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These days I am not bothering about
Getting enlightenment all the time.
And the result is that
I wake up in the morning feeling fine.
Quoted in Kim Lim (ed.), 1,001 Pearls of Spiritual Wisdom: Words to Enrich, Inspire, and Guide Your Life (2014), 249
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Thinking is merely the comparing of ideas, discerning relations of likeness and of difference between ideas, and drawing inferences. It is seizing general truths on the basis of clearly apprehended particulars. It is but generalizing and particularizing. Who will deny that a child can deal profitably with sequences of ideas like: How many marbles are 2 marbles and 3 marbles? 2 pencils and 3 pencils? 2 balls and 3 balls? 2 children and 3 children? 2 inches and 3 inches? 2 feet and 3 feet? 2 and 3? Who has not seen the countenance of some little learner light up at the end of such a series of questions with the exclamation, “Why it’s always that way. Isn’t it?” This is the glow of pleasure that the generalizing step always affords him who takes the step himself. This is the genuine life-giving joy which comes from feeling that one can successfully take this step. The reality of such a discovery is as great, and the lasting effect upon the mind of him that makes it is as sure as was that by which the great Newton hit upon the generalization of the law of gravitation. It is through these thrills of discovery that love to learn and intellectual pleasure are begotten and fostered. Good arithmetic teaching abounds in such opportunities.
In Arithmetic in Public Education (1909), 13. As quoted and cited in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-book (1914), 68.
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This beast is best felt. Shake, rattle, and roll. We are thrown left and right against our straps in spasmodic little jerks. It is steering like crazy, like a nervous lady driving a wide car down a narrow alley, and I just hope it knows where it’s going, because for the first ten seconds we are perilously close to that umbilical tower.
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This has been far more than three men on a mission to the Moon; more still than the efforts of a government and industry team; more, even, than the efforts of one nation. We feel this stands as a symbol of the insatiable curiosity of all mankind to explore the unknown.
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This sense of the unfathomable beautiful ocean of existence drew me into science. I am awed by the universe, puzzled by it and sometimes angry at a natural order that brings such pain and suffering, Yet an emotion or feeling I have toward the cosmos seems to be reciprocated by neither benevolence nor hostility but just by silence. The universe appears to be a perfectly neutral screen unto which I can project any passion or attitude, and it supports them all.
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Those who are accustomed to judge by feeling do not understand the process of reasoning, because they want to comprehend at a glance and are not used to seeking for first principles. Those, on the other hand, who are accustomed to reason from first principles do not understand matters of feeling at all, because they look for first principles and are unable to comprehend at a glance.
In Pensées (1670), Section 7, No. 33. As translated in W.H. Auden and L. Kronenberger (eds.) The Viking Book of Aphorisms (1966), 351. Also translated as “Those who are accustomed to judge by feeling do not understand the process of reasoning, for they would understand at first sight, and are not used to seek for principles. And others, on the contrary, who are accustomed to reason from principles, do not at all understand matters of feeling, seeking principles, and being unable to see at a glance,” in Blaise Pascal and W.F. Trotter (trans.), 'Thoughts', No. 3, collected in Charles W. Eliot (ed.), The Harvard Classics (1910), Vol. 48, 9. From the original French, “Ceux qui sont accoutumés à juger par le sentiment ne comprennent rien aux choses de raisonnement, car ils veulent d’abord pénétrer d’une vue et ne sont point accoutumés à chercher les principes. Et les autres, au contraire, qui sont accoutumés à raisonner par principes, ne comprennent rien aux choses de sentiment, y cherchant des principes et ne pouvant voir d’une vue,” in Ernest Havet (ed.), Pensées de Pascal (1892), 224.
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To see the world, things dangerous to come to, to see behind walls, to draw closer, to find each other and to feel. That is the purpose of Life.
The Secret Life of Walter Mitty
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To the east was our giant neighbor Makalu, unexplored and unclimbed, and even on top of Everest the mountaineering instinct was sufficient strong to cause me to spend some moments conjecturing as to whether a route up that mountain might not exist. Far away across the clouds the great bulk of Kangchenjunga loomed on the horizon. To the west, Cho Oyu, our old adversary from 1952, dominated the scene and we could see the great unexplored ranges of Nepal stretching off into the distance. The most important photograph, I felt, was a shot down the north ridge, showing the North Col and the old route that had been made famous by the struggles of those great climbers of the 1920s and 1930s. I had little hope of the results being particularly successful, as I had a lot of difficulty in holding the camera steady in my clumsy gloves, but I felt that they would at least serve as a record. After some ten minutes of this, I realized that I was becoming rather clumsy-fingered and slow-moving, so I quickly replaced my oxygen set and experience once more the stimulating effect of even a few liters of oxygen. Meanwhile, Tenzing had made a little hole in the snow and in it he placed small articles of food – a bar of chocolate, a packet of biscuits and a handful of lollies. Small offerings, indeed, but at least a token gifts to the gods that all devoted Buddhists believe have their home on this lofty summit. While we were together on the South Col two days before, Hunt had given me a small crucifix that he had asked me to take to the top. I, too, made a hole in the snow and placed the crucifix beside Tenzing’s gifts.
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Tonight, the moon came out, it was nearly full.
Way down here on earth, I could feel it’s pull.
The weight of gravity or just the lure of life,
Made me want to leave my only home tonight.
I’m just wondering how we know where we belong
Is it in the arc of the moon, leaving shadows on the lawn
In the path of fireflies and a single bird at dawn
Singing in between here and gone
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Treading the soil of the moon, palpating its pebbles, tasting the panic and splendor of the event, feeling in the pit of one’s stomach the separation from terra … these form the most romantic sensation an explorer has ever known … this is the only thing I can say about the matter. … The utilitarian results do not interest me.
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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Use your feeling brain, not your thinking brain.
As quoted in 'In Memoriam—Jack J. Leedy (1921–2004)', Journal of Poetry Therapy (2004), 17, No. 4, 231.
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Visible from Earth orbit … tropical rain forests of equatorial regions are huge expanses of monotonous, mottled dark green. During the day they are frequently covered with enormous thunderstorms that extend for hundreds of miles. The view has an air of fantasy about it, and you grope for words to describe what you see. My personal reaction was one of feeling humble, awed, and privileged to be witness to such a scene.
In How Do You Go To The Bathroom In Space?: All the Answers to All the Questions You Have About Living in Space (1999), 107.
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We are gliding across the world in total silence, with absolute smoothness; a motion of stately grace which makes me feel godlike as I stand erect in my sideways chariot, cruising the night sky.
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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 have no other means of recognising a work of art than our feeling for it.
In Art (1913), 8-9.
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When Dr. Johnson felt, or fancied he felt, his fancy disordered, his constant recurrence was to the study of arithmetic.
In In Life of Johnson (1871), Vol. 2, 264.
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When God makes his presence felt through us, we are like the burning bush: Moses never took any heed what sort of bush it was—he only saw the brightness of the Lord.
In Adam Bede (1859), Vol. 1, 167.
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When I find myself in the company of scientists, I feel like a shabby curate who has strayed by mistake into a drawing room full of dukes.
In 'The Poet and the City' (1962), collected in The Dyer's Hand and Other Essays (1965), 81.
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When you look up at the sky, you have a feeling of unity, which delights you and makes you giddy.
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Whenever I get gloomy with the state of the world, I think about the arrivals gate at Heathrow Airport. General opinion’s starting to make out that we live in a world of hatred and greed, but I don’t see that. It seems to me that love is everywhere. Often it’s not particularly dignified or newsworthy, but it’s always there - fathers and sons, mothers and daughters, husbands and wives, boyfriends, girlfriends, old friends. When the planes hit the Twin Towers, as far as I know none of the phone calls from the people on board were messages of hate or revenge - they were all messages of love. If you look for it, I’ve got a sneaky feeling you’ll find that love actually is all around.
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Love Actually (Prime Minister)
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Who does not know Maxwell’s dynamic theory of gases? At first there is the majestic development of the variations of velocities, then enter from one side the equations of condition and from the other the equations of central motions, higher and higher surges the chaos of formulas, suddenly four words burst forth: “Put n = 5.” The evil demon V disappears like the sudden ceasing of the basso parts in music, which hitherto wildly permeated the piece; what before seemed beyond control is now ordered as by magic. There is no time to state why this or that substitution was made, he who cannot feel the reason may as well lay the book aside; Maxwell is no program-musician who explains the notes of his composition. Forthwith the formulas yield obediently result after result, until the temperature-equilibrium of a heavy gas is reached as a surprising final climax and the curtain drops.
In Ceremonial Speech (15 Nov 1887) celebrating the 301st anniversary of the Karl-Franzens-University Graz. Published as Gustav Robert Kirchhoff: Festrede zur Feier des 301. Gründungstages der Karl-Franzens-Universität zu Graz (1888), 29-30, as translated in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-book (1914), 187. From the original German, “Wer kennt nicht seine dynamische Gastheorie? – Zuerst entwickeln sich majestätisch die Variationen der Geschwindigkeiten, dann setzen von der einen Seite die Zustands-Gleichungen, von der anderen die Gleichungen der Centralbewegung ein, immer höher wogt das Chaos der Formeln; plötzlich ertönen die vier Worte: „Put n=5.“Der böse Dämon V verschwindet, wie in der Musik eine wilde, bisher alles unterwühlende Figur der Bässe plötzlich verstummt; wie mit einem Zauberschlage ordnet sich, was früher unbezwingbar schien. Da ist keine Zeit zu sagen, warum diese oder jene Substitution gemacht wird; wer das nicht fühlt, lege das Buch weg; Maxwell ist kein Programmmusiker, der über die Noten deren Erklärung setzen muss. Gefügig speien nun die Formeln Resultat auf Resultat aus, bis überraschend als Schlusseffect noch das Wärme-Gleichgewicht eines schweren Gases gewonnen wird und der Vorhang sinkt.” A condensed alternate translation also appears on the Ludwig Boltzmann Quotes page of this website.
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Wonder is the feeling of a philosopher, and philosophy begins in wonder.
Plato
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[With] our critical faculties in decline, unable to distinguish between what feels good and what’s true, we slide, almost without noticing, back into superstition. … We have also arranged things so that almost no one understands science and technology. We might get away with it for a while, but eventually this combustible mixture of ignorance and power is going to blow up in our faces.
In 'With Science on Our Side', Washington Post (9 Jan 1994).
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~~[unverified]~~ I’ve learned that people will forget what you said, people will forget what you did, but people will never forget how you made them feel.
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Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
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- 90 -
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