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Who said: “God does not care about our mathematical difficulties. He integrates empirically.”
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Home > Category Index for Science Quotations > Category Index I > Category: Incredible

Incredible Quotes (43 quotes)

[About any invention] (1) everything that’s already in the world when you’re born is just normal; (2) anything that gets invented between then and before you turn thirty is incredibly exciting and creative and with any luck you can make a career out of it; (3) anything that gets invented after you’re thirty is against the natural order of things and the beginning of the end of civilisation as we know it until it’s been around for about ten years when it gradually turns out to be alright really.
In News Review section, Sunday Times (29 Aug 1999).
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[M]anufacturing, science and engineering are … incredibly creative. I’d venture to say more so than creative advertising agencies and things that are known as the creative industries.
Interview by Melanie D.G. Kaplan, 'James Dyson: Why we need to re-focus on the old economy' posted on smartplanet.com (3 Nov 2010).
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~~[Misattributed]~~ Somewhere, something incredible is waiting to be known.
Although describing Sagan’s viewpoint on extra-terrestrial life, expressed in the interview, these were her own summarizing words by the reporter, Sharon Begley, in 'Seeking Other Worlds', Newsweek (15 Aug 1977), 90, 53. The statement was not in quotation marks, and not Sagan’s own words, as verified on the quoteinvestigator.com website. [Updated on todayinsci site 25 Sep 2019.] An example of this narrative text being mistakenly printed as a Sagan quote is in Larry Chang, Wisdom for the Soul: Five Millennia of Prescriptions for Spiritual Healing (2006), 561, without source reference.
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All admit that the mountains of the globe are situated mostly along the border regions of the continents (taking these regions as 300 to 1000 miles or more in width), and that over these same areas the sedimentary deposits have, as a general thing, their greatest thickness. At first thought, it would seem almost incredible that the upliftings of mountains, whatever their mode of origin, should have taken place just where the earth’s crust, through these sedimentary accumulations, was the thickest, and where, therefore, there was the greatest weight to be lifted. … Earthquakes show that even now, in this last of the geological ages, the same border regions of the continents, although daily thickening from the sediments borne to the ocean by rivers, are the areas of the greatest and most frequent movements of the earth’s crust. (1866)
[Thus, the facts were known long ago; the explanation by tectonic activity came many decades later.]
In 'Observations on the Origin of Some of the Earth’s Features', The American Journal of Science (Sep 1866), Second Series, 42, No. 125, 210-211.
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At the entrance to the observatory Stjerneborg located underground, Tycho Brahe built a Ionic portal. On top of this were three sculptured lions. On both sides were inscriptions and on the backside was a longer inscription in gold letters on a porfyr stone: Consecrated to the all-good, great God and Posterity. Tycho Brahe, Son of Otto, who realized that Astronomy, the oldest and most distinguished of all sciences, had indeed been studied for a long time and to a great extent, but still had not obtained sufficient firmness or had been purified of errors, in order to reform it and raise it to perfection, invented and with incredible labour, industry, and expenditure constructed various exact instruments suitable for all kinds of observations of the celestial bodies, and placed them partly in the neighbouring castle of Uraniborg, which was built for the same purpose, partly in these subterranean rooms for a more constant and useful application, and recommending, hallowing, and consecrating this very rare and costly treasure to you, you glorious Posterity, who will live for ever and ever, he, who has both begun and finished everything on this island, after erecting this monument, beseeches and adjures you that in honour of the eternal God, creator of the wonderful clockwork of the heavens, and for the propagation of the divine science and for the celebrity of the fatherland, you will constantly preserve it and not let it decay with old age or any other injury or be removed to any other place or in any way be molested, if for no other reason, at any rate out of reverence to the creator’s eye, which watches over the universe. Greetings to you who read this and act accordingly. Farewell!
(Translated from the original in Latin)
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Because the region of the Celestial World is of so great and such incredible magnitude as aforesaid, and since in what has gone before it was at least generally demonstrated that this comet continued within the limits of the space of the Aether, it seems that the complete explanation of the whole matter is not given unless we are also informed within narrower limits in what part of the widest Aether, and next to which orbs of the Planets [the comet] traces its path, and by what course it accomplishes this.
De Mundi Aetherei Recentioribus Phaenomenis (On Recent Phenomena in the Aetherial World) (1588). Quoted in M. Boas Hall, The Scientific Renaissance 1450-1630 (1962), 115.
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But from the time I was in college I learned that there is nothing one could imagine which is so strange and incredible that it was not said by some philosopher; and since that time, I have recognized through my travels that all those whose views are different from our own are not necessarily, for that reason, barbarians or savages, but that many of them use their reason either as much as or even more than we do. I also considered how the same person, with the same mind, who was brought up from infancy either among the French or the Germans, becomes different from what they would have been if they had always lived among the Chinese or among the cannibals, and how, even in our clothes fashions, the very thing that we liked ten years ago, and that we may like again within the next ten years, appears extravagant and ridiculous to us today. Thus our convictions result from custom and example very much more than from any knowledge that is certain... truths will be discovered by an individual rather than a whole people.
Discourse on Method in Discourse on Method and Related Writings (1637), trans. Desmond M. Clarke, Penguin edition (1999), Part 2, 14-5.
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Does it seem all but incredible to you that intelligence should travel for two thousand miles, along those slender copper lines, far down in the all but fathomless Atlantic; never before penetrated … save when some foundering vessel has plunged with her hapless company to the eternal silence and darkness of the abyss? Does it seem … but a miracle … that the thoughts of living men … should burn over the cold, green bones of men and women, whose hearts, once as warm as ours, burst as the eternal gulfs closed and roared over them centuries ago?
A tribute to the Atlantic telegraph cable by Edward Everett, one of the topics included in his inauguration address at the Washington University of St. Louis (22 Apr 1857). In Orations and Speeches on Various Occasions: Volume 3 (1870), 509-511.
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During my second year at Edinburgh [1826-27] I attended Jameson's lectures on Geology and Zoology, but they were incredible dull. The sole effect they produced on me was the determination never as long as I lived to read a book on Geology.
Charles Darwin, His Life Told in an Autobiographical Chapter and a Selected Series of his Published Letters (1892), 15. In Patrick Wyse Jackson, Four Centuries of Geological Travel (2007), 32.
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Edison was by far the most successful and, probably, the last exponent of the purely empirical method of investigation. Everything he achieved was the result of persistent trials and experiments often performed at random but always attesting extraordinary vigor and resource. Starting from a few known elements, he would make their combinations and permutations, tabulate them and run through the whole list, completing test after test with incredible rapidity until he obtained a clue. His mind was dominated by one idea, to leave no stone unturned, to exhaust every possibility.
As quoted in 'Tesla Says Edison Was an Empiricist', The New York Times (19 Oct 1931), 25.
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Everything's incredible, if you can skin off the crust of obviousness our habits put on it.
Point Counter Point (1928), 407.
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From the age of 13, I was attracted to physics and mathematics. My interest in these subjects derived mostly from popular science books that I read avidly. Early on I was fascinated by theoretical physics and determined to become a theoretical physicist. I had no real idea what that meant, but it seemed incredibly exciting to spend one's life attempting to find the secrets of the universe by using one's mind.
From 'Autobiography', in Tore Frängsmyr (ed.) Les Prix Nobel. The Nobel Prizes 2004, (2005).
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I don’t see the logic of rejecting data just because they seem incredible.
In Astronomy Transformed by D. O. Edge and M. J. Mulkay (1976).
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I maintain that the human mystery is incredibly demeaned by scientific reductionism, with its claim in promissory materialism to account eventually for all of the spiritual world in terms of patterns of neuronal activity. This belief must be classed as a superstition. ... We have to recognize that we are spiritual beings with souls existing in a spiritual world as well as material beings with bodies and brains existing in a material world.
In Evolution of the Brain: Creation of the Self (1991), 241.
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If we follow the advice of these people [who oppose nuclear power, increased strip-mining and stepped-up off-shore oil exploration], we might as well go back into the cave right away. There would be incredible unemployment. Food production would be cut severely. In that direction lies catastrophe.
In address at City College, reported in Victor K. McElheny, 'Hans Bethe Urges U.S. Drive for Atom Power and Coal', The New York Times (14 Dec 1974), 58.
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In geology we cannot dispense with conjectures: [but] because we are condemned to dream let us ensure that our dreams are like those of sane men—e.g. that they have their foundations in truth—and are not like the dreams of the sick, formed by strange combinations of phantasms, contrary to nature and therefore incredible.
Introducione alla Geologia, Part I (1811), trans. Ezio Vaccari, 81.
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In modern Europe, the Middle Ages were called the Dark Ages. Who dares to call them so now? … Their Dante and Alfred and Wickliffe and Abelard and Bacon; their Magna Charta, decimal numbers, mariner’s compass, gunpowder, glass, paper, and clocks; chemistry, algebra, astronomy; their Gothic architecture, their painting,—are the delight and tuition of ours. Six hundred years ago Roger Bacon explained the precession of the equinoxes, and the necessity of reform in the calendar; looking over how many horizons as far as into Liverpool and New York, he announced that machines can be constructed to drive ships more rapidly than a whole galley of rowers could do, nor would they need anything but a pilot to steer; carriages, to move with incredible speed, without aid of animals; and machines to fly into the air like birds.
In 'Progress of Culture', an address read to the Phi Beta Kappa Society at Cambridge, 18 July 1867. Collected in Works of Ralph Waldo Emerson (1883), 475.
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In view of all the nests brimming over with eager mouths, it is a good thing that deciduous woodlands provide an incredible wealth of food for the birds that live there. There are … arthropods, snails and … the prodigious menu of nuts, seeds and juicy berries.
In The Amateur Naturalist (1989), 126.
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It is a temptation for philosophers that they should weave a fairy tale of the adjustment of factors; and then as an appendix introduce the notion of frustration, as a secondary aspect. I suggest to you that this is the criticism to be made on the monistic idealisms of the nineteenth century, and even of the great Spinoza. It is quite incredible that the Absolute, as conceived in monistic philosophy, should evolve confusion about its own details.
In Modes of Thought (1938), 69-70.
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It is not possible to find in all geometry more difficult and more intricate questions or more simple and lucid explanations [than those given by Archimedes]. Some ascribe this to his natural genius; while others think that incredible effort and toil produced these, to all appearance, easy and unlaboured results. No amount of investigation of yours would succeed in attaining the proof, and yet, once seen, you immediately believe you would have discovered it; by so smooth and so rapid a path he leads you to the conclusion required.
Plutarch
In John Dryden (trans.), Life of Marcellus.
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It is supposed that the ancients were ignorant of the law in hydraulics, by which water, in a tube, will rise as high as the fountain-head; and hence they carried their stupendous aqueducts horizontally, from hill-top to hill-top, upon lofty arches, with an incredible expenditure of labor and money. The knowledge of a single law, now familiar to every well-instructed school-boy,— namely, that water seeks a level, and, if not obstructed, will find it,—enables the poorest man of the present day to do what once demanded the wealth of an empire. The beautiful fragments of the ancient Roman aqueducts, which have survived the ravage of centuries, are often cited to attest the grandeur and power of their builders. To me, they are monuments, not of their power, but of their weakness.
In Thoughts Selected From the Writings of Horace Mann (1872), 231.
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It was quite the most incredible event that has ever happened to me in my life. It was almost as incredible as if you fired a 15-inch shell at a piece of tissue paper and it came back and hit you.
[Recalling in 1936 the discovery of the nucleus in 1909, when some alpha particles were observed instead of travelling through a very thin gold foil were seen to rebound backward, as if striking something much more massive than the particles themselves.]
Quoted in Abraham Pais, Inward Bound (1986), 189, from E. N. da C. Andrade, Rutherford and the nature of the atom, (1964) 111.
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It would be a very wonderful, but not an absolutely incredible result, that volcanic action has never been more violent on the whole than during the last two or three centuries; but it is as certain that there is now less volcanic energy in the whole earth than there was a thousand years ago, as it is that there is less gunpowder in a ‘Monitor’ after she has been seen to discharge shot and shell, whether at a nearly equable rate or not, for five hours without receiving fresh supplies, than there was at the beginning of the action.
In 'On the Secular Cooling of the Earth', Transactions of the Royal Society of Edinburgh (1864), 23, 159.
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Let us sum up the three possible explanations of the decision to drop the bomb and its timing. The first that it was a clever and highly successful move in the field of power politics, is almost certainly correct; the second, that the timing was coincidental, convicts the American government of a hardly credible tactlessness [towards the Soviet Union]; and the third, the Roman holiday theory [a spectacular event to justify the cost of the Manhattan Project], convicts them of an equally incredible irresponsibility.
In The Political and Military Consequences of Atomic Energy (1948), 126. As cited by Maurice W. Kirby and Jonathan Rosenhead, 'Patrick Blackett (1897)' in Arjang A. Assad (ed.) and Saul I. Gass (ed.),Profiles in Operations Research: Pioneers and Innovators (2011), 17. Blackett regarded the dropping of the atomic bombs on Japan as unnecessary because a Japanese surrender was inevitable.
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Looking outward to the blackness of space, sprinkled with the glory of a universe of lights, I saw majesty—but no welcome. Below was a welcoming planet. There, contained in the thin, moving, incredibly fragile shell of the biosphere is everything that is dear to you, all the human drama and comedy. That’s where life is; that’s where all the good stuff is.
Observation as payload specialist on the Challenger Eight space shuttle mission. As quoted in Kevin W. Kelley (ed.), The Home Planet (1988), 8.
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March 24, 1672. I saw the surgeon cut off the leg of a wounded sailor, the stout and gallant man enduring it with incredible patience without being bound to his chair as usual on such painful occasions. I had hardly courage enough to be present. Not being cut off high enough, the gangrene prevailed, and the second operation cost the poor creature his life.
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Mathematics, a creation of the mind, so accurately fits the outside world. … [There is a] fantastic amount of uniformity in the universe. The formulas of physics are compressed descriptions of nature's weird repetitions. The accuracy of those formulas, coupled with nature’s tireless ability to keep doing everything the same way, gives them their incredible power.
In book review, 'Adventures Of a Mathematician: The Man Who Invented the H-Bomb', New York Times (9 May 1976), 201. The book is a biography of Stanislaw Ulam, and this is Gardner’s description of one of Ulam’s reflections on nature and mathematics.
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Metaphysics: An attempt to prove the incredible by an appeal to the unintelligible.
…...
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Our oceans are facing innumerable threats-from overfishing and pollution to ocean acidification and invasive species-yet we haven’t had a blueprint for its use and development, incredible as that seems.
In 'A Blueprint for Our Blue Home', Huffington Post (18 Jul 2011).
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Science has thus, most unexpectedly, placed in our hands a new power of great but unknown energy. It does not wake the winds from their caverns; nor give wings to water by the urgency of heat; nor drive to exhaustion the muscular power of animals; nor operate by complicated mechanism; nor summon any other form of gravitating force, but, by the simplest means—the mere contact of metallic surfaces of small extent, with feeble chemical agents, a power everywhere diffused through nature, but generally concealed from our senses, is mysteriously evolved, and by circulation in insulated wires, it is still more mysteriously augmented, a thousand and a thousand fold, until it breaks forth with incredible energy.
Comment upon 'The Notice of the Electro-Magnetic Machine of Mr. Thomas Davenport, of Brandon, near Rutland, Vermont, U.S.', The Annals of Electricity, Magnetism, & Chemistry; and Guardian of Experimental Science (1838), 2, 263.
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Some of the hovercraft saga was fun, but most of it was incredibly frustrating.
As quoted in Michael T. Kaufman, 'Christopher Cockerell, 88, Inventor, Dies; Father of Hovercraft and Marconi Devices', New York Times (4 Jun 1999), 19.
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The experience was more fulfilling than I could have ever imagined. I have a newfound sense of wonder seeing the Earth and stars from such an incredible perspective. Certainly, through my training I was prepared for the technical aspects, but I had no idea that I would be flooded with such amazement and joy after seeing my first sunrise and sunset from space.
…...
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The gold rush in Madre de Dios, Peru, exceeds the combined effects of all other causes of forest loss in the region, including from logging, ranching and agriculture. This is really important because we’re talking about a global biodiversity hotspot. The region’s incredible flora and fauna is being lost to gold fever.
As quoted by Rhett A. Butler in article 'Gold mining in the Amazon rainforest surges 400%' on monabay.com website (28 Oct 2013).
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The idea of an atom has been so constantly associated with incredible assumptions of infinite strength, absolute rigidity, mystical actions at a distance, and individuality, that chemists and many other reasonable naturalists of modern times, losing all patience with it, have dismissed it to the realms of metaphysics, and made it smaller than ‘anything we can conceive.’ But if atoms are inconceivably small, why are not all chemical actions infinitely swift? Chemistry is powerless to deal with this question, and many others of paramount importance, if barred by the hardness of its fundamental assumptions, from contemplating the atom as a real portion of matter occupying a finite space, and forming not an immeasurably small constituent of any palpable body.
Sir William Thomson and Peter Guthrie Tait, A Treatise on Natural Philosophy (1883), Vol. I, Part 2, 495.
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The joy of suddenly learning a former secret and the joy of suddenly discovering a hitherto unknown truth are the same to me—both have the flash of enlightenment, the almost incredibly enhanced vision, and the ecstasy and euphoria of released tension.
In I Want to be a Mathematician: An Automathography (1985), 3.
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The mind of this man [Adme Mariotte] was highly capable of all learning, and the works published by him attest to the highest erudition. In 1667, on the strength of a singular doctrine, he was elected to the Academy. In him, sharp inventiveness always shone forth combined with the industry to carry through, as the works referred to in the course of this treatise will testify. His cleverness in the design of experiments was almost incredible, and he carried them out with minimal expense.
Translated from the Latin in Regiae Scientiarum Academiae Historia (1698), 233.
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The solutions put forth by imperialism are the quintessence of simplicity...When they speak of the problems of population and birth, they are in no way moved by concepts related to the interests of the family or of society...Just when science and technology are making incredible advances in all fields, they resort to technology to suppress revolutions and ask the help of science to prevent population growth. In short, the peoples are not to make revolutions, and women are not to give birth. This sums up the philosophy of imperialism.
From Fidel Castro (1968).
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The unexpected and the incredible belong in this world. Only then is life whole.
Carl Jung
…...
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There are many Green Dragons in this world of wayside inns, even as there are many White Harts, Red Lions, Silent Women and other incredible things.
In A Traveller in Little Things (1921), 9.
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There are things which seem incredible to most men who have not studied mathematics.
As given, without source, in epigraph, Herbert Meschkowski Ways of Thought of Great Mathematicians: An Approach to the History of Mathematics (1964), 13.
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There are two objectionable types of believers: those who believe the incredible and those who believe that 'belief' must be discarded and replaced by 'the scientific method'.
Max Born
Natural Philosophy of Cause and Chance (1964), 209.
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This part of optics [perspectiva], when well understood, shows us how we may make things a very long way off appear to be placed very close, and large near things appear very small, and how we may make small things placed at a distance appear as large as we want, so that it is possible for us to read the smallest letters at an incredible distance, or to count sand, or grain, or seeds, or any sort of minute objects.
Describing the use of a lens for magnification.
De iride, in Baur, Die philosophischen Werke, 74.
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What a delight it is to think that you are quietly & philosophically at work in the pursuit of science... rather than fighting amongst the crowd of black passions & motives that seem now a days to urge men every where into action. What incredible scenes every where, what unworthy motives ruled for the moment, under high sounding phrases and at the last what disgusting revolutions.
Letter to C. Schrenbein, 15 Dec 1848. In Frank A. J. L. James (ed.), The Correspondence of Michael Faraday (1996), Vol. 3, 742.
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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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- 100 -
Sophie Germain
Gertrude Elion
Ernest Rutherford
James Chadwick
Marcel Proust
William Harvey
Johann Goethe
John Keynes
Carl Gauss
Paul Feyerabend
- 90 -
Antoine Lavoisier
Lise Meitner
Charles Babbage
Ibn Khaldun
Euclid
Ralph Emerson
Robert Bunsen
Frederick Banting
Andre Ampere
Winston Churchill
- 80 -
John Locke
Bronislaw Malinowski
Bible
Thomas Huxley
Alessandro Volta
Erwin Schrodinger
Wilhelm Roentgen
Louis Pasteur
Bertrand Russell
Jean Lamarck
- 70 -
Samuel Morse
John Wheeler
Nicolaus Copernicus
Robert Fulton
Pierre Laplace
Humphry Davy
Thomas Edison
Lord Kelvin
Theodore Roosevelt
Carolus Linnaeus
- 60 -
Francis Galton
Linus Pauling
Immanuel Kant
Martin Fischer
Robert Boyle
Karl Popper
Paul Dirac
Avicenna
James Watson
William Shakespeare
- 50 -
Stephen Hawking
Niels Bohr
Nikola Tesla
Rachel Carson
Max Planck
Henry Adams
Richard Dawkins
Werner Heisenberg
Alfred Wegener
John Dalton
- 40 -
Pierre Fermat
Edward Wilson
Johannes Kepler
Gustave Eiffel
Giordano Bruno
JJ Thomson
Thomas Kuhn
Leonardo DaVinci
Archimedes
David Hume
- 30 -
Andreas Vesalius
Rudolf Virchow
Richard Feynman
James Hutton
Alexander Fleming
Emile Durkheim
Benjamin Franklin
Robert Oppenheimer
Robert Hooke
Charles Kettering
- 20 -
Carl Sagan
James Maxwell
Marie Curie
Rene Descartes
Francis Crick
Hippocrates
Michael Faraday
Srinivasa Ramanujan
Francis Bacon
Galileo Galilei
- 10 -
Aristotle
John Watson
Rosalind Franklin
Michio Kaku
Isaac Asimov
Charles Darwin
Sigmund Freud
Albert Einstein
Florence Nightingale
Isaac Newton


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